THE NEWSLETTER OF THE MATHEMATICAL ASSOCIATION OF AMERICA Governors Meet Winning U.S. International Volume 14, Number 5 Mathematical Olympiad Team Members of the winning U.S. team at the In• way, with major stories in Time, Newsweek, The ternational Mathematical Olympiad met with Times, The Washington Post, USA the Board of Governors of the MAA at the Today, The San Francisco Chronicle, The Los In this Issue SummerMathFest in Minneapolis where they Angeles Times, People magazine, and scores of were warmly congratulated for their achieve• local and regional newspapers across the coun• 3 Career Advising ment. try.Senator Edward Kennedy had the entire story from The Boston Globe reprinted in the Senate The perfect score obtained by each of the six Congressional Record of July 20th. 5 Search Committee team members, all students at public high Diary schools in the , was a first in the The members of the U.S. team were: 35-yearhistory of the IMO, and gave the U.S. Jeremy Bern, Ithaca High School, Ithaca, NY team an easy victory over the other 68 teams Aleksandr L. Khazanov, Stuyvesant High 9 Update on Project from around the world. School, New York, NY MATHEMATICS! The nine-hour competition took place July 8• JacobA. Lurie, Montgomery Blair High School, 20 in Hong Kong, and each member of the Silver Spring, MD 11 Networks in U.S. team received a gold medal. The final Noam M. Shazeer, Swampscott High School, FOCUS order among the top five teams was U.S.A., Swampscott, MA China, Russia, Bulgaria, and Hungary. Stephen S. Wang, Illinois Mathematics and Science Academy, Aurora, IL By the time the team returned to the United 17 Joint Mathematics Jonathan Weinstein, Lexington High School, States, a press blizzard was already under- Meetings-San Lexington, MA. Francisco See IMO on page 7

53 Employment Opportunities

SPECIAL CENTER SECTION Attracting Minorities into Teaching Mathematics Executive Summary

The Mathematical The American Mathematics Olympiad Team in front ofthe Einstein statue at the National Academy ofSciences in Association of America Washington, DC. Left to right: Professor Richard A. Gibbs (Chair. Commitree on the American Mathematics Compe• 1529 Eighteenth Street, NW titions), Christopher Chang (alternate), Jonathan Weinstein. Jacob Rasmussen (alternate), Noam Shazeer, Aleksandr Khazanov, Stephen Wang, Jeremy Bem, Jacob Lurie, and Professor Walter E. Mientka (Executive Director, American Washington, DC 20036 Mathematics Competitions). FOCUS October 1994 FOCUS Editorial FOCUS is published by The Mathematical The Second Report ofthe Annual AMS-IMS-MAA Survey appeared in the July/August Association of America, 1529 Eighteenth issue of the AMS Notices. It will come as no surprise to anyone that the academic job Street Northwest, Washington, DC 20036• crisis in mathematics is still with us. The unemployment figure for 1992-93 new doc• 1385,sixtimesayear:February,April,June, torates represents a record high rate of 8.9% at the time of the spring update of the August, October, and December. employment status. In addition, 5.5% ofthe new doctorates took part-time employment. Editor and Chairof the MAA Newsletter Another sign ofthe times: while the year saw small increases in the total numbers offull• Editorial Committee: Keith J. Devlin, Saint Mary's College of California time doctoral faculty in mathematicsdepartments, the numberofnon-tenure-trackdoctoral full-time faculty increased by 8.3%. Associate Editor: Donald J. Albers, MAA Associate Executive Director, and At the same time, the 1214 new doctorates awarded by U.S. institutions from July 1, Director of Publications and Programs 1992 to June 30, 1993, was equal to the all-time record high of 1971, and an increase of 14% over the previous year. Ofthese new doctorates, 532 are known to be U.S. citizens, Managing Editor: Harry Waldman,MAA the highest figure in twelve years, and 19% more than the previous year. Production Specialist: Amy Stephenson, To those of us who obtained our Ph.D.s in 1971, as I did, these figures bring back MAA memories of those gloomy days. The optimistic years of the late 1960s had carried Proofreader: Meredith Zimmerman, record numbers of us 'baby boomers' to college and on to graduate school, and we swept MAA onto the academic job market in the very year the gates c1osed-or started to close. Copy Editor: NancyWilson, Saint Mary's A few were lucky, and found regular positions. Most of us were not. In my own case, College of California 1971 saw the start of a six-year period of hopping from one temporary position to Letters to the editor should be addressed to: another, indeed, from one country to another, as I followed temporary openings in Keith Devlin, Saint Mary's College of Scotland, Norway, Germany, Canada, and my native England. Both in England and in California, P.O. Box 3517, Moraga, CA Germany I saw 'promised' permanent positions disappear before my eyes. Several of 94575; e-mail: [email protected] my fellow class of '71 faired less well in terms of an academic career, and went off to The FOCUSsubscriptionpricetoindividual follow other paths. members of the Association is $6.00, Looking back though, things did not appear to be so bad at the time. The sixties era was included in the annual dues. (Annual dues for regular members, exclusive of annual every bit as optimistic a period as it was portrayed to be, and I remember that we all, the subscription prices for MAA journals, are graduate class of '71, felt that things would eventually work out. And so, indeed, they $68.00. Student and unemployed members did for most of us. My sense is that the graduate classes of '93 and '94 do not feel quite receive a 66 percent discount; emeritus the same way. membersreceivea50percentdiscount;new members receive a 40 percent discount for Maybe they are right to be so gloomy. The late eighties was a pretty gloomy time for the first two membership years.) many people, particularly anyone involved in higher education, as expansion started to give way to what is euphemistically referred to as downsizing. Moreover, it is hard to Copyright © 1994 by The Mathematical see there being any great demand for large numbers of mathematics Ph.D.s in the near Association of America (Incorporated). Educational institutions may reproduce future-the end of the Cold War and the Arms Race and the virtual halt to the Space articles for their own use, but not for sale, Program should see to that, as fewer and fewer students choose careers in the sciences provided that the following citation is used: or mathematics (if that drift should continue). "Reprinted withpermissionof FOCUS,the But being hard to see does not mean something is not there, and at the end of the day, newsletterofThe MathematicalAssociation of America (Incorporated)." who really knows? I would not be at all surprised if, a few years from now, we find ourselves in another faculty job crisis of a quite different nature: a shortage of suffi• Second-class postage paid at Washington, ciently qualified mathematics faculty. DC and additional mailing offices. Postmaster: Send address changes to the In fact, if I had to make a prediction, I would opt for the latter scenario, as increasing Membership and Subscriptions De• numbers offaculty retirements outstrip the lowering ofdemand caused by any reduction partment,The MathematicalAssociationof in the numbers of students who choose to major in mathematics (if indeed such a America,1529EighteenthStreetNorthwest, reduction occurs). But as I said a moment ago, who really knows? There are simply too Washington, DC 20036-1385. many variables. Even for a mathematician. ISSN: 0731-2040 Talking of the job market, this edition of FOCUS sees the return of our popular diarist, Printed in the United States of America. Ed Aboufadel. Having started two years ago with his 'Job Search Diary', and followed Printed on recycled paper. it up a year later with the 'New Job Diary', what else but a diary ofa member ofa faculty search committee? Welcome back, Ed. -Keith Devlin

The above are the opinions ofthe FOCUS editor, and do not necessarily represent the official view ofthe MAA. @------October 1994 FOCUS Career Advising for Mathematical Sciences Majors David J. Lutzer

Career advising for mathematics majors• ate degree is a prerequisite for employ• tain contact with former students by invit• CUPM reports endorse it, and the MAA's ment in mathematical sciences. That may ing them to return to campus to present DepartmentalGuidelines stress it. Indeed, be true in some parts of our discipline, but talks and participate in panels on math• nobody denies its importance. Yet com• not in all; the advisor's problem is to find ematical careers. Annual homecoming plaints about post-baccalaureate career examples where it is not. In an attempt to celebrations are opportune times for such advising still top the lists of concerns ex• provide such examples, the MAA pub• panels and talks, and they help remind pressed by many bachelor's degree alumni lishes a series of leaflets titled future donors that the university has ac• in mathematics. Faculty members also see "Mathematiciansof the Month," highlight• tivities beyond football. Often alumni now the problem: comments to the MAA's ad ing careers of individual mathematicians employed by various companies will agree hoc Committee on Advising suggest that around the nation, many of whom hold to act as telephone consultants for under• mathematicians see post-baccalaureate bachelor's degrees only. The project is graduates who want to talk about careers career advising as our most complicated directed by Andrew Sterrett (asterret@ in this or that industry, and sometimes such advising problem. maa.org). He continues to ask mathemati• contacts can open employment and sum• cal sciences departments to nominate mer internship opportunities for today's We know that bachelor's graduates in recent graduates who might be profiled in students. mathematical sciences have many career the series. options beyond teaching and graduate Perhaps the least understood source of school, but where can we get concrete Local Resources departmental advising information is the details for our advisees? And how can we local Career Planning and Placement Of• communicate this important information National career advising brochures and fice (CPPO). That office can provide lists to our students? This article offers some regional MAA panels can provide a start• of companies that interviewed or hired answers and asks mathematics advisors to ing place for career advising, but many local mathematics majors recently. Local suggest others for the Advising departments go further. Often a student's CPPOs can also provide publications by Committee's eventual report to the math• question is not, "What do bachelor's level various governmental and industry groups ematical community. mathematicians do nationally?" but rather, that are not usually available to individual "What have our own graduates done?" departments. Often CPPOs have career• National Resources Three under-utilized local resources can related software packages that can help provide information needed to customize Our professional societies, including the students explore career options on their national materials in the light of local ex• Society for Industrial and Applied Math• own. Sometimes a CPPO will already have perience-alumni surveys, invitations to ematics, the National Council of Teachers established alumni consulting networks as recent graduates to participate in depart• of Mathematics, the Operations Research mentioned above. mental career panels, and the institution's Society, the American StatisticalAssocia• own Career Planning and Placement Of• Advising Handbooks tion, the Society of Actuaries, the fice. Association for Women in Mathematics, Toprovide students and their advisors with and the MAA, all publish brochures about A list of employers of the last three or four easy access to basic advising information, jobs for mathematicians. Finding the bro• years' bachelor's graduates in mathemat• some departments have created depart• chures can be a problem. Sometimes they ics has an immediacy that no brochure mental advising handbooks. Coordinating are out of print and out of date, too: some about students from far away universities and presenting career advising materials carry 1982 publication dates and need can match. Getting this data is not hard. is one important function of these hand• updating. Recently the Conference Board Often faculty members know what agiven books, but there are others as well. of the Mathematical Sciences published a student did after graduation and many Handbooks can also describe departmen• brochure of brochures titled Career Infor• departments conduct alumni career sur• tal placement programs for entering mation in the Mathematical Sciences: A veys as part of mandated assessment. In freshmen; introduce students to depart• Resource Guide listing sources of infor• other cases, the university's alumni office mental faculty via brief statements of mation on careers for mathematicians. maintains such files for fund raising pur• faculty members' teaching, scholarly, and Many of these advising aids can be ob• poses. And if all else fails, telephone calls other interests; and provide more detailed tained by writing to the MAA (attention: to parents of recent graduates can work. descriptions of the department's courses April White) at 1529 18th Street NW, Farfrom being annoyed by suchcalls, most than do most college and university cata• Washington DC 20036-1385. In addition parents are pleased that someone from the logs. An advising handbook can contain a few MAA sections have offered career mathematics department cares enough to essays on the intellectual themes that unify fairs at regional meetings, including pan• ask what happened to their son or daugh• various programs of study within the de• els of industrial mathematicians. ter after graduation. partment (e.g., actuarial mathematics, Some professional society publications Once alumni occupations are known, some contain the implicit message that a gradu- mathematical sciences departments main- See Career Advising on page 16 ------@ FOCUS October 1994 AAAS Meeting inAtlanta To Offer Strong Mathematics Program Warren Page The 1995 Annual Meeting of the Ameri• tives in Mathematics, Science, and En• mathematical sciences within AAAS. can Association for the Advancement of gineering Education Please send me, and encourage your col• Science,February 8-13, 1995, inAtlanta, leagues to send me, symposia proposals •The Origins of Scientific and Mathemati• will feature many outstanding expository for future AAAS meetings. cal Literacy: Sources of Developmental talks by prominent mathematicians. These and Systemic Change Warren Page is Senior Consulting Acqui• include the following symposia (three• sitions Editor ofthe MAA, and Secretary hour sessions) and invited talks sponsored • What Works: Successful Programs for ofSection A ofthe AAAS. by Section A(Mathematics) oftheAAAS: Women in the Mathematical Sciences. • Mathematics and the Science of Sports, The above symposia are only a few of the organized by Mont Hubbard 150 or so AAAS program offerings in the physical, life, social, and biological sci• • Information and Security: Principled and Page Named ences that will broaden the perspectives Public Policy, organized by Joan of students and professionals alike. Indeed, Feigenbaum Senior Consulting AAAS Annual Meetings are the showcases • Teaching Mathematics: Lessons from of American science, deserving greater Acquisitions Editor the Russian Experience, organized by participation by mathematicians. Richard Askey In presenting mathematics to the AAAS Warren Page has rejoined the publica• • Recent Mathematical Advances in Sig• Program Committee, I have found the tions program as Senior Consulting nal Processing, organized by committee genuinely interested in more Acquisitions Editor. He will focus on Christopher Heil and Mary Beth Ruskai symposia on mathematical topics of cur• book projects for both MAA Notes and rent interest. The Section A Committee is Classroom Resource Materials. In this • Mathematics of Music: Recent Devel• looking for organizers and speakers who role, he will work closely with the edi• opments in the Theory of Musical can present substantial new material in tors of both series. Perception, organized by Robert E. understandable ways. This task is not easy, Greene Page's work on MAA publications but the outstanding success of mathemat• projects dates back to 1974. During that • Contemporary Scientific Problems In• ics symposia at the previousAAASAnnual twenty year span, he served as Editorof volving Innovative Time-series Meetings proves that effort and inspira• the College Mathematics Journal and Methods, organized by David J. tion can accomplish wonders. The Editor ofMAA Notes. Thomson mathematics programs at these meetings show that first-rate mathematical research• Dr.Page is professor ofmathematics at • Successful Mathematics-based Inter• ers and educators can also effectively reach Technical College of vention Programs Directed by a broad scientific audience. CUNY. He is beginning his second year Mathematicians, organized by Florence as visiting professor at Baruch College, Fasanelli We in Section A of the AAAS know that another branch of CUNY. the increasing representation and partici• • The Legacy of Alan Turing, organized pation of mathematicians atAAAS Annual by Warren Page and Marian Pour-El Meetings are important means for deep• • Topical Theme Lecture, "From ening public awareness and appreciation Cryptanalysis to Computers: A Jour• of the manifold ways that mathematics ney with Alan Turing," by Peter Hilton contributes to science and society.Weneed and welcome your suggestions for sym• Technology: Its Effects on • Frontiers of the Physical Sciences, or• posia topics and individuals who might be Curriculum, Pedagogy, and ganized by Warren Page able to organize them. Assessment-A SUNY • Frontiers of the Physical Sciences Lec• I hope that you wil1have the opportunity ture, "The Stability of Matter-From "Conversations in to attend some of this year's exciting sym• Atoms to Stars," by El1iott Lieb posia and talks in Atlanta. For details of the Discipline" Other symposia that will be of interest to the program, see the October21, 1994issue October 28-29, 1994 mathematicians and mathematics educa• of Science. I invite you to attend our Sec• Suffolk Community College tors include: tionA Committee Meeting, 2:30-5:30 P.M., For information, contact Dr. Russel1 K. Friday, February 17, 1995, in the Flemish Gusack, Mathematics Dept., Suffolk • Moving Towards a Quantitatively Lit• Suite of the Hyatt Regency. The commit• Community Col1ege, 533 Col1ege Rd, erate Society tee meeting is open to al1 who wish to Selden, NY 11784; (516) 451-4270. • Shifting Paradigms, Changing Perspec- stimulate interest and activities of the ~------October 1994 FOCUS Search Committee Diary Edward F. Aboufadel Our intrepid diarist is back! Through thick Anyone who does not wish to serve can and thin he's reported to us his battles in notify the department chair within the academe. But this time he's on the other week. Everyone else is put on a ballot. We side of the firing line, as a member ofa vote, and the top three vote-getters serve faculty search committee. In this first of on the committee. The department chair is three installments, our diarist deals with a fourth member of the committee. After bureaucracy, the law ofthe land,fairness, the vote, he selects afifth committee mem• and keeping track. ber. About a third of the department will be on the search committee. This Search Committee Diary describes a search conductedduring the 1993-94aca• I have decided that I would like to be on There will be an interview by the Search demic year to fill a tenure track position. the search committee so that I may see Committee; a lecture or lesson by the can• The search was carried out by the Math• what this process is like, so that I may didate; informal meetings with the faculty, ematics Department of Southern participate, and so that I may keep this including lunch; and a meeting with the Connecticut State University. Although diary of our work. dean. (This is exactly what I experienced this diary is in no way comparable to September 26, 1993: The elec• in April1992 when I traveled to Southern Dante's Paradiso, or even Lucas' Return for an interview.) tion of our search committee is complete. of the Jedi, I hope that it will stimulate After sending to department members a We also devised an informal timetable. discussion in the mathematics community. memorandum expressing my interest in First we established the deadline for ap• Errors, like straws, upon the surfaceflow; the committee and in writing a diary, I was plications as January 24, 1994. Actually He who wouldsearch for pearls mustdive elected to the committee. There are a total that's not quite accurate. We say in the below. of five members. We will first meet as a advertisement, "Firstconsideration given John Dryden committee on Tuesday the 28th to select a to applications received by 1/24/94," All for Love Prologue chair and discuss the parameters of our which means applications received after search. that day might not be considered. We de• This year September 15, 1993: October2, 1993: The Search Com• termined that we would need a week to the Mathematics Department of Southern mittee met twice this week, on Tuesday decide upon the semifinalists (keeping in Connecticut State University will be mind that we will be reading applications and Thursday. Our main accomplishments searching to fill a full-time position in were developing the official Search Com• as they come in), and that by mid-Febru• mathematics education. This past spring mittee Guidelines and creating the ary we could contact candidates about the one of our professors stepped down from on-campus interviews. advertisement. her position here to take a similar position We did not develop these guidelines from at another institution. Now we have been In our department the Search Committee scratch. Rather, we took the guidelines authorized to conduct a search to replace develops guidelines which then need to be from a previous search and modified them this person. Back in May we were not sure approved by a vote of the whole depart• slightly. if we would be able to do this. Southern, ment. The guidelines are not a timetable, like most other universities, has been un• but a flowchart describing the process. We also composed a first draft of the job der financial pressures for a number of Here is a summary of our guidelines. advertisement. There was a similar search years, so nothing can be taken for granted. here a few years ago, so we used that ad• First the committee will conduct a pre• It was not until mid-August that we were vertisement as a basis for our new one. liminary screening of all applicants, allowed to hire someone in a temporary, including applicants we may meet at the There was some discussion as to what kind one-yearposition in order to hold the fund• Employment Register in Cincinnati. Then of person we were looking for. We want ing for the slot. We selected one of our the committee will decide on several semi• someone to teach undergraduate and longtime adjuncts. finalists. The folders for these candidates graduate mathematics education and math• Last week our department chair was noti• will be available for all department mem• ematics courses and to supervise fied from the powers that be that "we may bers to study and comment on. After we secondary school student teachers. This begin the search process to fill the math• receive these comments, the committee last responsibility is particularly impor• ematics education position."The first step will decide on three or four finalists who tant to us, and we discussed how to make will be to select a search committee. The will be invited to the campus. (The uni• that clear in the advertisement. We were method of selecting the committee is de• versity will fund visits by up to three concerned that if we made the require• scribed in our Departmental By-laws candidates.) ments too broad then we would receive written and approved by the department. The guidelines also describe what will the dreaded 500 applications, but if we Here is how the method works. occur during a finalist's visit on campus. made the requirements too narrow no one ------@ FOCUS October 1994

would apply. One committee member has been busy. One task that he has been Another issue discussed in this meeting joked, "No diarists need apply." working on is signing us up for the Em• was the outline of the finalists' visits to ployment Register during the January campus. In the past some candidates were By the end of the Thursday meeting (Sep• meetings in Cincinnati. able to meet with ourAcademic VicePresi• tember 30th, 12:30 P.M.), we had decided dent (AVP) while others were not, due to on our advertisement. Now the hard part One difficulty he faced was the comple• the schedule of the AVP. These meetings began. The advertisement needed to be tion of the form itself. An employer in the occurred because the AVP was (and still approved by a myriad of offices on cam• Employment Register must complete a is) interested in the attitudes and concerns pus. Meanwhile we felt it was important form that is available in both FOCUS and of potential new faculty, but the meetings to get the advertisement into the Decem• the Notices. There are many guidelines for had no effect on the decisions of previous ber issue ofFOCUS and into the November this form. You must type the form. You search committees. Nevertheless we can• issue of The Mathematics Teacher. We cannot photocopy the form. You cannot not give the impression of unfair treatment made some calls. The deadline for the submit the form bye-mail. Youmust fit all among the finalists, so it was determined December issue of FOCUS was October that you need to say into the small spaces that the AVP either meets with all the fi• Ist with the following issue not out until provided. (The chair agonized about what nalists or none of them. February. For their November issue the to drop from our advertisement to fit un• deadline for The Mathematics Teacher had der the title "Significant other This issue of fairness also came up with passed, although they said that if we could requirements, needs, or restrictions which respect to the Employment Register inter• squeeze a camera-ready ad into a I x 23/4 will influence hiring decisions.") The chair views, possible telephone interviews of inch box, then they could get it into their made a mistake on the first form he worked semifinalists, and the on-campus inter• next issue. The following issue would be on, so he borrowed my copy of FOCUS views ofthefinalists. In each case we need out by December 20th and that issue had and used the form there. to devise a minimum set of questions that a deadline of October 21st. We decided each interviewee will be asked. (It is ac• The other difficulty had to do with fund• that this wouldn't be worth it to us, but we ing.As with most public institutions, funds ceptable if these initial questions lead to still wanted to get the ad into FOCUS. more specific questions about a specific for searches are inadequate, while the need candidate.) As a result an interviewerdoes So two of our committee members, includ• for "accountability" means that there is not need to dream up questions during an ing our newly-selected committee chair, more than an adequate amount of bureau• interview, which should make the inter• raced around on Thursday and Friday to cracy. A small amount of money is views flow more smoothly. The questions get the many signatures and find a fax dedicated to a search process, enough to need to be reviewed by the Affirmative machine. We were lucky. Friday held a help pay to invite candidates on campus Action office, as they want to make sure special event, the Albert Schweitzer Fac• and to pay for postage. In order to pay for we don't ask anything illegal. (For ex• ulty Convocation, featuring an address by the employer fee for the Employment ample, "How old are you?") Nobel Laureate Oscar Arias Sanchez. All Register, the chair had to go to five differ• the administrators were on campus that ent administrators. Somehow he found the Also at this meeting, the chair announced day. By 2 P.M., our advertisement was ap• money. that we had received our first application. proved and out. October 28, 1993: Today the It resulted from an advertisement placed inone of the local Sunday papers. Although I begin to wonder how many schools face Search Committee met with a representa• there is no reason that we can'tread this or the advertising deadline problem. The tive from the Affirmative Action office to any other application now, we will not school year starts in Septemberand ittakes review the legal lay of the land. We al• begin serious deliberations until next a few weeks to get a search committee ready had some contact with them as they month. organized. Ideally you would want job ads had to approve the wording ofour adver• in the October, November, or December tisement. November 21, 1993: Job appli• issues of publications. Yet by the time the As the applications come rolling in, we cations have been coming in over the last committee is up and running, deadlines will be sending out a response letter in• few weeks. We now have over thirty. for some ofthese publications are lapsing. forming the candidate that we have Here's how a mailing from J. Applicant is being processed. Other publications that we plan on adver• received his or her material. (When I was tising in are Notices of the AMS, The applying for jobs, not every school that I When the mailing arrives the department Chronicle ofHigher Education, the Jour• applied to did this.) To be included in that secretary procures a manila file folder and nal ofResearch inMathematics Education, letter is an affirmative action form and the name "J. Applicant" is written on the and the Association for Women in Math• some information about the AAUP (fac• tab. She places it in an area of a file cabinet ematics Newsletter. We also want to ulty here are unionized). The affirmative labeled "unprocessed." At the same time, advertise on e-MATH. Due to cost we will action form is returned to the Affirmative she updates a database that she has started not be advertising in The New York Times. Action office rather than to the Search on her computer. The data on the com• Committee. Information on the forms is puter is simply 1. Applicant's name and October 25, 1993: In the early used to determine whether or not we are address. stages most ofthe work of the search com• conducting a broad enough search accord• mittee is done by the committee chair. He On Thursday of each week, the chair pro- ing to federal guidelines. @------October 1994 FOCUS cesses the unprocessed files. J.Applicant's yet to appear. We should be in the new IMO from page 1 file is checked to see if anything is miss• FOCUS which is out next week.) Each ing (such as vita, transcripts, letters of member of the committee will give each Immediately after the victory, Professor recommendation, or even the cover let• applicant a grade of Yes,Maybe, or No. At Walter E. Mientka from the University of ter), the chair records what is missing, and the December 21st meeting we will dis• Nebraska-Lincoln, the executive director the file goes in the "processed" area of the cuss our grades and apool oftopcandidates of the American Mathematics Competi• cabinet. The next day, our secretary sends will emerge. We will look for these candi• tions and leader of the team, said, "I am out a form letter to each of the newly pro• dates in Cincinnati. We will also examine very proud of the performance of our team. cessed files, acknowledging receipt of the the "yellow book" of resumes that candi• Each member demonstrated great math• application and summarizing what is miss• dates submit to the Employment Register. ematical creativity and was an outstanding ing. We are supposed to receive the book be• representative of the United States." fore Christmas. After Thanksgiving the Search Commit• Prior to the competition, the U.S. students tee will be meeting to discuss how things Without reaching aconclusion, the Search had participated in a month-long summer are going. At the meeting, I'll be passing Committee discussed if soon after the De• program at the U.S. Naval Academy un• out a form that I have been working on cember 21st meeting we should notify the der the direction of professors Anne that we will be giving out to anyone we candidates who clearly do not fit our cri• Hudson, Titu Andreescu, and Paul Zeitz. interview inCincinnati. The form has some teria. We probably will and I have already The U.S. team was chosen on the basis of information about the department, and it volunteered to draft a rejection letter. Itold performance in the Twenty-third Annual points out some of the work we have been the committee that I still have all of my United States of America Mathematical doing in mathematics education for which rejection letters from two years ago and Olympiad (USAMO) held earlier this year. we have received some recent praise. For that I would dig out the best and the worst The winners of the 1994 USAMO were example, through a program called Project of the lot. honored on June 6th at the National Acad• CONNSTRUCT, we interact with public At this meeting, we also approved a flyer emy of Sciences in Washington, DC. school teachers through co-teaching col• that will be sent out shortly to mathemat• laborations and other enrichment A representative question which appeared ics education departments, and one on the 35th IMO is as follows: programs. committee member distributed an essay November 30, 1993: The Search by Paul Humke at St. Olaf College titled Show that there exists a set A of posi• Committee met today and began to pre• "Making the First Cut." The essay ap• tive integers with the following pare for Cincinnati. First we talked about peared in this week's Concerns a/Young property: For any infinite setSof primes what kinds of questions we want to ask Mathematicians which is sent out by e• there exist two positive integers m in A during the short interviews in the Employ• mail by the Young Mathematicians' and n not in A each of which is a prod• ment Register. We decided among other Network. The essay described Professor uct of k distinct elements of S for some things that it will be important to find out Humke's impression of the search process k greater than 1. about any secondary school experience at his school. To St. Olaf's advantage it The Mathematical Olympiad is a program that a candidate may have, given that one appears that they usually know the previ• of the Mathematical Association of of the responsibilities of the position is to ous spring if they have the approval to hire America. It is co-sponsored by the fol• supervise secondary school student teach• someone, whereas we had to wait until lowing national organizations in the ers. Our secretary will create a form that September to determine if our vacated mathematical sciences: we will use to take notes during the inter• position would be filled or remain vacant. views. As a result their timetable is about two American Association of Pension Actuar• months ahead of ours. He notes that the ies Also for the interviews, we plan on bring• first "winnowing" occurs in December, so American Mathematical Association of ing copies of a fact sheet about Southern that by the time they go to the January Two-Year Colleges that I mentioned before and that the com• meetings, they have 15 finalists. In com• American Mathematical Society mittee approved today. Each interviewee parison we probably won't have our American Statistical Association will get one. We are also bringing along a finalists until late February. At the Janu• Casualty Actuarial Society few copies of our undergraduate and gradu• ary meetings, then, they can informally Mathematical Association of America ate catalogues. meet with their finalists. On-campus in• Mu Alpha Theta When we get to Cincinnati we will have to terviews at St. Olaf are in February. National Council of Teachers of Math- decide who we prefer to interview at the ematics Well, I have a lot of folders to read through Society of Actuaries. Employment Register, so today we devel• the next few weeks. oped a plan to determine that list. From Financial support is provided by theArmy now until December 21st members of the To be continued... Research Office, the Office of Naval Re• Search Committee are going to study all search, Microsoft Corporation, and the the applications that we have received so Matilda R. Wilson Fund. far. (As of today we have received 68, although many of our advertisements have FOCUS October 1994 MAA Elections-Call for Nominations Visiting Mathemati• cian Sought for MAA The Nominating Committee for 1995 welcomes nominations from the membership for the following officers of the Mathematical Association of America: President-Elect, Headquarters First Vice-President, and Second Vice-President. The new officers will be elected by a Have a sabbatical coming up? About to mail ballot circulated to the entire membership in the spring of 1995. retire? Interested in national mathematics The elected officers' terms will begin at the conclusion of the January 1996 meeting in issues? Then think about spending a year Orlando. Nominations should be sent to the chair of the nominating committee, Alan C. or a term at MAA headquarters in Wash• Tucker, Applied Mathematics Department, SUNY at Stony Brook, Stony Brook, NY ington, DC, as a Visiting Mathematician, 11794-3600; e-mail: [email protected] to December 31, 1994. Other starting in June or September 1995. members ofthe nominating committee are Lida K. Barrett, John H. Ewing, Raymond L. The Visiting Mathematician's responsi• Johnson, and Sharon C. Ross. bilities are flexible, depending on the needs of the office and the skills and interests of e h the individual. Assignments are likely to be in the areas of publications, strategic 'prOject MATHEMATICS! planning, professional development, mi• nority programs, women's programs, or Student Chapters. s • $10,000 Contest The deadline for applications is Decem• sponsored jointly by ber 15, 1994.Please write or send ane-mail message describing your background, in• The Hewlett-Packard Company terests, and past MAA involvement to: & The Intel Foundation Dr. Marcia P. Sward, Executive Director, MAA, 1529EighteenthStreet, NW,Wash• Awards of $1,000 will be made to each of five teachers who, in the ington, DC 20036; e-mail: msward@ opinion of a judging committee, demonstrate outstanding success maa.org. through innovative and effective use of Project MATHEMATICS! videotapes and workbooks in the classroom. Each grantee's school will receive an additional award of $1,000 to AAHE Fifth National be used in a manner determined by the winning teacher. Project MATHEMATICS! will produce a 30-min videotape showing Conference implementation of each prize-winning proposal, together with a booklet Held November 17-20, 1994 at the Grand describing proposals of other entrants. Each entrant will receive a Hyatt Hotel inWashington, DC, theAAHE complimentary copy of this videotape and the accompanying booklet. Fifth National Conference on School/Col• Entrants must submit, no later than December 31, 1994, a detailed description (not to exceed six typewritten pages) of how they have used lege Collaboration will offer participants a chance to meet like-minded individuals Project MATHEMATICS! modules. Additional materials such as from many different sectors including sketches, photos, posters, videotapes, etc., may also be submitted. Any higher education, elementary and second• teacher who uses Project MATHEMATICS! materials in the classroom ary schools, business, philanthropy, and in the U.S. or Canada is eligible to apply. For an official entry form, advocacy groups engaged in the work of write today or call systemic change. It will provide an oppor• Project MATHEMATICS! Contest 1-70 Caltech--Pasadena, CA 91125 tunity for participants to learn about the Tel: 818-395-6345 latest tools of reform such as subject mat• ter standards, performance assessment, PROJECT MATHEMATICS! computer-animated tapes produced to date: charters, learning communities, and other Theorem of Pythagoras; Story of Pi; Similarity; Polynomials; Teachers Workshop; forms of decentralization, revised reward Sines & Cosines, Part I; Sines & Cosines, Part II; Sines & Cosines, Part Ill. structures, and professional and organiza• "Outstanding in both content and production values" tional development. This year the conference will also celebrate the fortieth Produced at the CALIFORNIA INSTITUTE OF TECHNOLOGY anniversary of the Brown v.Board ofEdu• by TOM M. APOSTOL and JAMES F. BLINN cation decision with a panel discussion on Major funding by the NATIONAL SCIENCE FOUNDATION its implications today and next steps for .. Each VHS tape (with workbook) is only $11.25 + applicable sales tax the future. For further information, con• and shipping when ordered from: tact the conference director, Carol Stoel, The Caltech Bookstore: Tel. 1-800-514-BOOK or Project Assistant Grace Moy, at (202) 293-6440; fax: (202) 462-7326. ~------October 1994 FOCUS

the Pythagoras tape captured a gold medal on videotape; Joe Corrigan, Project Man• Update on Project at the International Film and TV Festival ager, provides technical expertise on in New York. In early 1989 Hewlett• computers and video equipment, and MATHEMATICS! Packard gave the project $50,000 in handles business matters; and Cherri computer equipment for producing ani• Tom M. Apostol Brown is Project Secretary. Al Hibbs, the mation, and Pythagoras won a Gold Apple narrator, and Benedict Freedman, who Eight years ago I wrote an article in FO• atthe National Educational Film andVideo helps with scripts, work part-time. Wehire CUS (vol. 6, no. 6, 1986),describing plans Festival in Oakland. The MAA and the other people as needed for special services for a series of computer animated video• NCTM endorsed the project and began that cannot be done by us. Several volun• tapes on topics in secondary level selling tapes and workbooks to theirrnem• teers help the project in many ways; for mathematics, and asked readers for their bers. Two more first place awards were example, reading drafts of scripts and comments. More than three hundred fa• captured at festivals in Chicago and Bir• workbooks, and locating historical docu• vorable responses encouraged Jim Blinn mingham, Alabama. In July 1989 the NSF ments. Rough cuts are produced at project and me to seek funds to launch Project awarded the project $376,000 to continue headquarters on the Caltech campus, and MATHEMATICS! This article outlines production and to conduct evaluation final assembly is done in commercial pro• some of the history of this nonprofit en• workshops. duction facilities in Hollywood. deavor and our plans for its future. In August 1989 the Intel Foundation con• Hewlett-Packard and Intel are sponsoring Todate, Project MATHEMATICS! haspro• tributed $40,000 to place the Pythagoras a contest for teachers who have had un• duced eight modules: The Theorem of module in 2500 high schools in four west• usual success withproject materials intheir Pythagoras. The Story of Pi, Similarity, em states. In November 1989 Pythagoras classrooms. The project is also studying Polynomials, Teachers Workshop, Sines won its fifth major award, a Gold Cindy the feasibility of producing interactive & Cosines Parts I, II and Ill. Each module (the 'Emmy' of the audiovisual industry), multimedia CD-ROM versions of its mod• consists of a 30-minute videotape and a as the next module, The Story ofPi, was ules. workbook/study guide. completed. Today's efforts to introduce modem tech• More than 60,000 copies of these tapes Favorable responses from the NSF-man• nology into mathematics education are and workbooks are used nationwide and dated workshops resulted in another NSF primarily focused on computers. Video is abroad as classroom support material in grant of $684,000 in 1991. With an addi• hardly mentioned as part of this technol• grades 7 through 13, and at least 5 million tional NSF grant in 1992 exceeding $2 ogy for two reasons: first, because it is students have seen one or more of these million, and two more equipment contri• regarded as being passive rather than ac• tapes. The actual numbers are much higher butions from Hewlett-Packard, the project tive, and second, because much of the because we allow tapes and workbooks to has produced a total of eight modules to existing footage simply shows a teacher be copied for educational purposes in the date, with two more in production. These lecturing or solving problems at the chalk• United States.Educational channels insev• modules have won a total of eleven gold board-probably the least valuable use of eral states also broadcast the tapes. or silver awards at educational video fes• television as a teaching tool. Project tivals. MATHEMATICS! videos bring mathemat• Ittook nearly two years of intensive effort ics to life in ways that cannot be done at to secure enough funding to produce our Many students are visual learners, and the chalkboard or in a textbook. They grab first module. With a grant of $50,000 from these videotapes demonstrate the impor• the viewer's attention and maintain the SIGGRAPH (TheAssociation of Comput• tance of pictures in communicating viewer's involvement. Astudy by the U.S. ing Machinery's Special Interest Group in mathematical ideas. Computer animation Department of Education concludes, Computer Graphics), and matching funds iscombined with liveaction, relatingmath• "Contrary to popular assertions, children from the Educational Foundation of ematics to the real world, and with images are cognitively active during television America and from Caltech, The Theorem of original documents that weave a his• viewing and attempt to form a coherent of Pythagoras videotape was completed torical perspective. The tapes are divided understanding of television programs." in May 1988. Master copies were sent to into bite-size segments that are tied to the a consortium of 36 state education depart• corresponding sections in the workbook, The impact of well-crafted televised im• ments whose members agreed to duplicate promoting interaction between students ages on thehuman mind is well understood and distribute tapes and workbooks at their and teachers. Positive response from both by entertainers, advertisers, and politi• expense to school districts. Fundraising teachers and students exceeded all our cians, but not, it seems, by most educators. efforts continued unabated with propos• expectations and is documented in the Today's children are keen observers and als to the NSF and private foundations, Teachers Workshop module. interpreters of television. They tum off and for a time it appeared that the project The permanent staff of Project MATH• boring videos, recreational or instruc• would expire for lack of funds. In Septem• EMATICS! consists of four people. As tional, but pay close attention and view ber 1988 SIGGRAPH awarded another Project Director, I am the primary author with pleasure any video that has interest• $120,000 to keep the project alive until of scripts and workbooks; James F.Blinn, ing content presented in an engaging major funding could be secured. Associate Director, designs and produces manner,especially ifproduction values are high. November 1988 marked a turning point: all the computer animation, and records it ------@ FOCUS October 1994

Students who lack language skills, or who Founder of Mathematics Outreach Program are less apt to respond quickly in class, gain confidence in their abilities by view• Wins MacArthur Foundation Award ing videotapes privately. This allows them Internationally-recognized mathematician and biologist Israel M. Gelfand has been to concentrate on content and language named recipient of a 1994 MacArthur Foundation Fellow Program award. Gelfand is until they are satisfied. With increased currently a DistinguishedVisiting Professor in the Departmentof Mathematics at Rutgers understanding they feel good about them• University, and is founder of the school's Gelfand Outreach Program in Mathematics selves and can share learning experiences Education. with their peers. "It is truly an honor to receive such a prestigious award," said the 80-year-old Gelfand. I urge you to look at some of the Project "This is a great recognition of all my work, both past and present. This MacArthur MATHEMATICSI videos (or, even better, fellowship will go a long way to funding the national implementation of the Gelfand show them to your students) and judge for Outreach Program in Mathematics Education." yourself whether creative use of televi• sion can be a powerful tool in mathematics In addition to authoring more than 500 papers and textbooks in the fields of mathematics, education. Questions, comments, and sug• applied mathematics, and biology, among others, Gelfand has gestions can be sent to me at 1-70 Caltech, worked throughout his career to provide quality mathematics education to students Pasadena, CA 91125. around the world. He founded the Mathematics Correspondence School in his native Soviet Union more than 25 years ago to provide good books and academic support in Tom M. Apostol is Professor Emeritus at rural areas. Caltech, DirectorofProjectMATHEMAT• ICSI, and author of several well-known In 1991, Professor Gelfand launched a similar pilot program in the United States - the texts. Gelfand Outreach Program in Mathematics Education at Rutgers University. After a successful three-year pilot program conducted in New Jersey, Gelfand is planning to Letter to the Editor take the program to the national level via the Internet.

Dear Prof. Devlin, Ijust read "Two Bing Stories" in the April Contributed Paper Sessions FOCUS, and I have a nice third story you The MAACommittee on Sessions ofContributedPapers selects topics and organiz• might be interested in. ers for contributedpaper sessions at national meetings. The committee would liketo hear from MAA members who would like to organize a session ofindividuals who About twenty years ago, Bing gave a have suggestions for topics. colloquium talk in Urbana. He began by pointing out two different ways of describ• Planning is now underway for the August 1995 meeting in Vermont and the January ing a point. An analyst, he said, describes 1996 meeting in Orlando. The deadline for receipt of proposals for the Vermont a point by telling you its coordinates. On meeting is December 1, 1994; deadline for receipt of proposals for the Orlando the other hand, a topologist describes a meeting is January 1, 1995 (January 6th if by e-mailor at the San Franciscomeeting). point by giving you a nested sequence of Information should be sent to the chair of the committee, Elizabeth Teles, 11501 neighborhoods. And the topologist's way Chantilly Ln, Mitchellville MD 20721; (703) 306-1668 (work); (301) 262-9586 is the more natural one. For example, if (home); fax: (703) 306-0445; e-mail: [email protected]. someone in Madison would ask my secre• tary for the whereabouts of ProfessorBing, she would say that he is in Illinois. Ifthey wanted more information, she would add Preliminary Call for Papers that he was in Urbana, that he was at the Universityof Illinois,that he was inAltgeld Hall, that he was in Room 314. And surely Eighth Annual MAA Undergraduate this tells exactly where I am. I dare say, however, that none of you know your co• Student Paper Session ordinates! The eighth MAA Undergraduate Student Paper Sessions will take place at the Joint At this moment, Irv Reiner, who was in MAAlAMS summer meeting in Vermont August 6-8,1995. the audience, replied sotto voce, "Oh yes, For further informationand/orto submitnominationsfor fifteen minute papers along I do; (0,0,0)." with brief abstracts, contact: Ron Barnes, Computer/Math Sciences, University of Joe Rotman Houston-Downtown, 1 Main Street, Houston, TX 77002. or eMail to University of Illinois at Urbana• [email protected]. Champaign @------October 1994 FOCUS Networks in FOCUS Gopher and the Mathematics Archives Earl D. Fife and Lawrence Husch

Software (Packages, Abstracts and Reviews) As indicated in several recent FOCUS articles, 1,3,5 there are many services on the --> 1, ********************* Macintosh Software *********************, Internet which are beneficial to mathema• 2. Macintosh Software arranged by subjects/ ticians.For anovice navigating the Internet 3. Search Abstracts and ReadMe files of all the Macintosh Software <7> it is quite often a challenge to become 4. List of all Macintosh Software, aware of what the Internet provides. It is 5, ********************* MSDOS Software *********************, 6, MSDOS Software arranged by sUbjects/ an even greater challenge to find specific 7, Search the Abstracts and ReadMe files of all the MSDOS Software <7> services and then to make use of them. 8. List of all MSDOS Software, Even the experienced user who, for ex• 9, ********************* Other Platforms **********************. ample, has incomplete information on a 10, Apple Software arranged by subjects (under construction)/ certain public domain software package 11, Atari Software arranged by subjects (under construction)/ 12, Multi-platform Software arranged by sUbjects/ may spend many hours to find, download, 13. ********************* Subject Oriented **********************, and make ready to run a version of this 14. Life Sciences/ package for the user's particular computer. Several different interfaces have been Figure 1: Unix Client developed to help remedy some of these difficulties. One of the most popular of is. Material is organized at a Gophersite, these interfaces is Gopher, appropriately andMacintosh (e.g.,TurboGopher). These named, for it "tunnels through the often affectionately called a Gopher hole, are all available from the University of Internet," allowing access without logging much as at an anonymous ftp site except Minnesota by anonymous ftp to in (as well as its being developed prima• that rather than seeing lists of files and directories, the user sees a menu. A visitor boombox.micro.umn.edu in the rily at the University of Minnesota, home subdirectory pub/gopher. of the "Golden Gophers"). Gophering is uses these menus to navigate through this preferable to using anonymous ftp for Gophersite. As already mentioned, menus form the several reasons. From the user's perspec• In order to use Gopher, the user must have basis of Gopher navigation. This is an tive, Gopher offers a wider variety of a Gopher client-a program on a local improvement over ftp in several ways. services ranging from e-mail and telnet machine used to access Gophersites-on Since the menu item usually conveys more services to ftp and automatic linking to a machine which is connected to the information than adirectory name, the user other sites. From the system Internet (i.e., has an IP address). Clients can have a better sense of the available administrator's perspective it is more de• are available for a variety of platforms choices. For example, atypical menu from sirable because it is not nearly as including UNIX, MSDOS (e.g., PC Go• the Mathematics Archives, which we will demanding on the resources as an ftp link pher III), MS Windows (e.g., WSGopher), visit shortly, looks as pictured in Figures 1-4. ********************* Macintosh Software ********************* Notice that each client has its own way of Macintosh Software arranged by subjects indicating what type of object is associ• <7> Search Abstracts and ReadMe files of all the Macintosh Software List of all Macintosh Software ated with the menu item---directories are ********************* MSDOS Software ********************* indicated in the UNIX client by ending MSDOS Software arranged by subjects the line with a slash (I), in the DOS client <7> Search the Abstracts and ReadMe files of all the MSDOS Software by beginning the line with , in the List of all MSDOS Software Windows andMacintosh clients with icons ********************* Other Platforms ********************** offolders. Other types of objects typically Apple Software arranged by subjects (under construction) Atari Software arranged by subjects (under construction) encountered are as indicated in Figure 5. Multi-platform Software arranged by subjects (The indicator in the UNIX client is at the ********************* Subject Oriented ********************** end of the line, whereas the indicators for Life Sciences the other clients appear at the front of each line.) Figure 2: The DOS client PC Gopher III FOCUS October 1994

this is the second item, Organization of -I Software (Packages. Abstracts and Reviews) I...... the Mathematics Archives Gopher. Af• ~ ********************* Macintosh So£tware ********************* ~ Macintosh So£tware arranged by subjects ter choosing this item, the Gopher I Search Abstracts and ReadMe £i1es o£ all the Macintosh So£tware program will download a text file to the - List of all Macintosh So£tware ~ user's computer which will then dis• ********************* MSDOS So£tware play the file on the screen. The user will ~ MSDOS So£tware arranged by subjects Ii Search the Abstracts and ReadMe £i1es o£ all the MSDOS So£tware have several options including paging ~ List o£ all MSDOS So£tware through a long file or saving the file to ~ ********************* Other P1at£orms ********************** the disk drive. (If you enter a question ~ App1e So£tware arranged by subjects (under construction) mark (?) in the UNIX version, you will ~ Atari So£tware arranged by subjects (under construction) ~ Mu1ti-p1at£orm So£tware arranged by subjects be given a list of command options.) ~ ********************* Subject Oriented ********************** ~ ~ •• ~ ~. + The downloaded text file will inform Received 14 menu items ... done the user that there are three main areas of the MathematicsArchives (indicated by the first three items which are pre• Figure 3: The Windows client WSGopher fixed by in Figure 7). Choosing Ideas portrayed in the icons are not al• ticular item by using either a mouse or the the first, Software (Packages, Abstracts ways easy to discern. In Figure 5, there are arrow keys to point to that item or, in the and Reviews), the user will see the menu icons for folders, text documents, a mag• UNIX Gopher, by typing in the number of items in Figure 8. The two menu items nifying glass, a binary document, a floppy disk, telephone receivers, and a (Macintosh) computer terminal. Also, Software (Packa es, Abstracts and Reuiews) since most DOS files are in binary format Internet Gopher © 1991 -1 993 University of Minnesota. and most Macintosh files are in BinHex ~********************* tlacintosh Software format, we have listed icons appropriate c:Jtlacintosh Software arranged by subjects only to each platform. ~Search Abstracts and ReadMe files of all the tlacintosh Software ~ !ll~; We are now ready for a brief session using t:::..I List of all tlacintosh Software 'ij~, Gopher. For the first part of the tour, we ~********************* tlSDOS Software ********************* I~ will use the DOS client PC Gopher III. c:JtlSDOS Software arranged by subjects ~l Later, when we illustrate certain differ• ~ Search the Abstracts and ReadMe files of all the tlSDOS Software ill1j! ~ ~ ences which the Macintosh user ~ List of all tlSDO S Software ~1!11 encounters, we will illustrate with the ~ ********************* Other Platforms **********************lilil1 Macintosh client TurboGopher. c:J~pple Software arranged by subjects (under construction) I"~ c:J~tari Software arranged by subjects (under construction) ~~~ We begin at the Mathematics Archives c:Jtlulti-platform Software arranged by subjects (archives.math.utk.edu using port 70). To ~ ********************* Subject Oriented connect there using the UNIX client, just I type archives.math.utk.edu 70 Figure 4: The Macintosh client TurboGopher The place to enter the address and port on the other clients is shown in Figure 6. the item. prefixed by illustrate a powerful fea• The contents of the initial Mathematics ture of Gopher: full text searching of text Archives menu presented to the visitor• Many Gophersites provide menu items files. For most of the programs available the DOS client PC Gopher III-looks as which give some information about the through the Mathematics Archives, there depicted in Figure 7. One chooses a par- choices. On the Mathematics Archives, are abstracts written by the moderators, and readme files written by the authors of Type of Object UNIX client DOS client Windows client Macintosh client the programs; in addition, abstracts arepro• vided for many commercial packages. Directory / o LJ These files are placed in a database which ~ ~.. Text file (period) then can be searched by the user. For ex• Search a ill ample, if one knows the name or author of File for Downloading or If[JI. ~ a program, this feature provides quick Telnet session I~I ~ access to the program; similarly, one can find all programs which have a particular Figure 5: Gopher Client Icons topic mentioned in its abstract or readme file. Again, all programs for a particular October 1994 FOCUS

Client Menu Selection PC Gopher III Select Application under the Configure menu About the Mathematics Archives Gopher ThrboGopher Select Another Gopher under the File menu Organization of the Mathematics Archives Gopher WSGopher Select New Gopher under the File menu Software (Packages, Abstracts and Reviews) Teaching Materials and Other Information Figure 6: Where to enter the Gopher server address Other Mathematics Gophers and Anonymous FTP Sites Submitting Materials to the Mathematics Archives Other Ways of Accessing the Mathematics Archives What is Gopher? (adapted from Texas A & M's Gopher) Information About Gopher (from Univ. Minnesota) platform which can be used in teaching group theory,Laplace transforms, or wave• Figure 7: Mathematics Archives' Opening Menu lets can be found quickly. Choosing the item MSDOS Software ar• ranged by subjects, the user will see only part of a menu since it contains more items than could fit on the screen (see Figure 9). With window-based Gopher clients such as PC Gopher III, WSGopher, or ********************* Macintosh Software ********************* Macintosh Software arranged by subjects TurboGopher, additional entries can be Search Abstracts and ReadMe files of all the Macintosh Software viewed by scrolling. Several clients also List of all Macintosh Software make itpossible to do a search on a lengthy ********************* MSDOS Software ********************* Gopher response. This is especially use• <0> MSDOS Software arranged by subjects ful for locating options in very long menus. Search the Abstracts and ReadMe files of all the MSDOS Software List of all MSDOS Software For example, if one gophers over to the ********************* Other Platforms ********************** University of Minnesota and reaches the Apple Software arranged by subjects (under construction) menu of all Gophers in the world, then one Atari Software arranged by subjects (under construction) can find the MathematicsArchives among Multi-platform Software arranged by subjects the almost one thousand menu choices by ********************* Subject Oriented ********************** using a search feature. With TurboGopher, Life Sciences searching is done with the Find option under the Edit menu selection. With the Figure 8: Software Menu Selection UNIX client, first type a forward slash(1) and then type the string to be located, in this case Mathematics. Pressing the letter Mathematics Archives, let us choose the downloaded. key n repeatedly finds the next occurrence item Linear and Matrix Algebra. We then If of the string among the menu items. see a list of programs which can be used in we were to choose an item indicating a teaching linear algebra. (InWSGopherand commercial program such as Derive, we Continuing with the exploration of the TurboGopher, one should choose a non- get the menu depicted in Figure 11. The proportional font so that the abstract is written by a moderator of the Mathematics Archives; the item Reviews information is displayed as in Fig• Advanced Calculus of Derive is a listing of references to pub• Advanced Differential Equations ure 10.) Calculus lished reviews or articles about Derive. College Algebra Note that the top item gives the The third item shows another nice feature Complex Variables user the option to search through of Gopher: on the Gopher server Discrete Mathematics the abstracts and readme files. isaac.engr. washington.edu is a collection Dynamics Some of these are commercial of reviews of software; this item sets up a Fractals programs and are so indicated on Geometry Gopher link to the review of Derive con• Graphing Programs this menu; others have associated tained there. a name in parentheses which usu• Life Sciences If one chooses a public domain program Linear and Matrix Algebra ally ends with the extension .zip. Miscellaneous (In the area of the Mathematics such as LINSYS, the menu items are as in Modelling Archives devoted to Macintosh Figure 12. The user again can look at the Modern Algebra files, the extension for programs abstract or the readme file. The first item Number Theory to be downloaded is .hqx. We will is prefixed with which indicates that Numerical Analysis the file is a binary file which can be down• Numerical Partial Differential Equations discuss these later.)These are pub• lic domain, freeware, or shareware loaded to the user's disk drive. The Gopher clients automatically transfer the file in Figure 9: MSDOS Subjects programs or demos which can be ------@ FOCUS October 1994

Search Abstracts and ReadMe files of Linear Algebra Programs A Quick Tour of Maple (maplev.zip) Gaining The AMP - Algebraic Manipulation Program (amp30.zip) ANUMR (anumr5. zip) Competitive Edge CLA v.2.0 (cla20.zip) Calculus Calculator v.4 (cc4-9206.zip) Computer Appl. Finite Math. in Calculus (commercial) NSF Report Now Available Derive v.2.03 (commercial) FORM (form. arc) The workshopGaining the Competi• Finite Mathematics (ICAP-FM) v.2.1 (commercial) tive Edge: CriticalIssues in Science Finitepak: A colI. of Finite Math. Util. (commercial) and Engineering Technician Edu• GP-PARI for DOS and OS/2 (pari386.zip) cation (NSF 94-32) addressed issues Interactive Finite Mathematics (commercial) relevant to ensuring the high qual• LINSYS (linsysl0.zip) ity of science and engineering LINTEK (commercial) Linear Algebra v.3.17 (linalg.zip) technicians in the United States. Linear Kit v.2.1 (commercial) Held July 21-23, 1993, the work• MATLAB v.3.1 (commercial) shop was timely as it has become increasingly apparent that for the Figure 10: Linear Algebra Directory U.S. to maintain a competitive edge in the world market, the technical component of our work force must binary mode. (Many experienced users of Part two ofthis article will appear in the be better prepared than the corre• anonymous ftp forget to set the binary December issue ofFOCUS. sponding work force in other mode switch!) For the Macintosh user, IDeGray, R. W. "The Internet and industrialized countries. The pur• TurboGopher, similarly,does an automatic BITNET-An Agora for Mathemati• pose of the workshop was to identify conversion from the BinHex format (.hqx cians." FOCUS 13 (February 1993): critical issues in science and engi• 15-17. neering technician education; to develop recommendations for in• Abstract of Derive 2Engst, A. The Internet Starter Kit for dustry, academe, and government; Reviews of Derive Macintosh. Hasbrouck Heights, NJ: Reviews of Derive from IKE and to engage these communities Hayden Books, 1993. into action. Deliberations focused Figure 11: Selections Associated with Derive ""The Internet: Getting Started." FOCUS on development of strategies to 13 (June 1993): 21-24. strengthen two-year college ad• vanced science and engineering files) back to their original form-usually 4Krol,E.The Whole Internet User'sGuide technician education programs. self-extracting archives (files which are Improving education programs for automatically uncompressed by double• prospective technicians at the sec• clicking on them). Download linsysl0.zip Abstract for linsysl0.zip ondary level and expanding their On some other programs, there may be Readme file from linsysl0.zip opportunities at four-year colleges, more files available, as for the program universities, and after employment gnuplot (Figure 13). The Gnuplot FAQ Figure 12: Selections Associated with LINSYS were addressed as well. Six work• (Frequently Asked Questions) is a docu• ing groups examined the following ment which is not contained on the critical issues: professionalism of and Catalog. Sebastopol, CA: O'Reilly & MathematicsArchives. The Gopher server technician careers; alliances for Associates, 1992. on the Mathematics Archives uses anony• technician work force development; mous ftp to retrieve this document from 'Wachsmuth, B. G. "The Internet: Some faculty development and enhance• rtfm.mit.edu and then sends it to the user. Tools for Efficient Usage." FOCUS 13 ment; human resource issues (December 1993): 15-17,19- including recruitment, retention, and .------,21. placement of students; curriculum and program development and im• Abstract for Gnuplot Earl D. Fife teaches in the Readme file for Gnuplot provement; and secondary school DepartmentofMathematics at Download MSDOS version (gpt35exe.zip) education for candidates for ad• Calvin College. Lawrence Readme file for MSDOS version vanced technician careers. Copies Husch teaches in the Depart• Download MS Windows version (gpt35win.zip) ofthe report (NSF 94-32) are avail• Readme file for MS Windows version ment of Mathematics at the able by requestfrom the Division of Download the documentation (gpt35doc.zip) University ofTennessee. Download the source code (gpt35src.zip) Undergraduate Education «(703) Gnuplot FAQ 306-1668) as well as on the NSF electronic dissemination system Figure 13: Gnuplot Selections STIS. PUT ONE OF THES

ON EVERY ONE OF THESE

FOR JUST ONE OF THESE.

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Corporate headquarters: Wolfram Research.Inc••+1-217-398-0700: fax:+1-217-398-0747; email: info®Wri.com. Europe: Wolfram ResearchEuropeUd., t44-(0}1993-B83400; fax:+44-(011993-883800: email: into-euro®Wri.com Asia: WolframResearch Asia lJd. (Tokyo office]. +8HOI3-5276-0506; fax: +8H013-5276-0509; email: info-asia®Wri.com © 1994Wolfram Research, Inc,Mathemarica andMathLink areregistered trademarks of Wolfram Research. Inc.Malhematica isnotassociated withMathematica Policy Research, Inc,orMathTech, Inc.Allumerproduct names mentioned aretreoemans oftheirprOOucers FOCUS October 1994 Student Activities a High Priority in Indiana Section Rick Gillman

Undergraduate mathematics students University, a revitalized student chapter won the 29th Annual ICMC, forcing the throughout Indiana had many opportuni• hosted its first Mathematics Awareness team from sixteen-time champion Rose• ties to participate in a wide range of Day inconjunction with Indiana Wesleyan Hulman into second place. Purdue experiences during the last academic year, University and Taylor University; the University took third place in this year's thanks to efforts and incentives provided event will be continuedon an annual basis contest in which twenty teams represent• by not only the Indiana Section but also among the three schools. The student chap• ing eleven schools participated. by the many colleges and universities in ter at Butler University hosted area high the state and region that consider student school students at its second annual Math• Rick Gillman, Valparaiso University, is activities a top priority. Students were well ematics Scavenger Hunt, a timed team the Student Chapter Coordinator for the represented on the programs at the fall contest in which each problem solution Indiana Section. and spring Indiana Section Meetings as leads the team to the next question.At Saint well as other regional meetings which Mary's College, the student chapter co• Fields Medals Awarded annually include undergraduate math• sponsored the college's annual Hypatia ematics/research conferences held each Day with other science clubs on campus. Four Fields Medals were awarded on fall at Miami University in Oxford, Ohio, This event drew 114female middle school August 3rd at the International Con• and each spring at Butler University in students to investigate careers in math• gress of Mathematicians inZUrich.Jean Indianapolis and Rose-Hulman Institute ematics and the sciences.The list of student Bourgain, of the Institut des Hautes of Technology in Terre Haute. A number chapters in the section continues to Etudes Scientifiques in Paris, was of Indiana students also have been fortu• lengthen as other chapters have been awarded the medal for his work on the nate to pursue individual research formed. Most notably at Indiana Univer• geometry of infinite- dimensional activities during the summer in various sity East, in Richmond, a group of spaces. Pierre-Louis Lions of the Uni• Research Experiences for Undergraduates nontraditional students have formed a very versity of Paris-Dauphine was programs around the country, including active chapter, now in its second year of recognized for his contributions to the three such REUs administered within the existence; an annual highlight of the field of nonlinear partial differential state at Indiana University, Purdue Uni• chapter's activities is its annual Hallow• equations. Jean-ChristopheYoccoz, of versity, and Rose-Hulman. een chili cook-off. the University of Paris-Sud, won his Using EXXON funds awarded by the na• Mathematical competitions also provide medal for his solution to a long-stand• tional MAA Committee on Student a perennial favorite student activity. In ad• ing problem concerning circle maps. Chapters, Indiana Section Student Chap• dition to local contests held on individual Efim Isaakovich Zelmanov, of the ters at Ball State University, Butler campuses, the section sponsors the annual University of Wisconsin, was awarded University, and Saint Mary's College Indiana College Mathematics Competi• the medal for his solution to the re• hosted a variety of outreach activities to tion. This year, in something of an upset, stricted Burnside Problem in group strengthen their chapters. At Ball State a team of students from Wabash College theory.

Career Advising from page 3

biomathematics, ) and to lead mathematics majors to think about book is no small undertaking. The process can also provide basic information about their long-term plans earlier in their col• can easily fill a summer. But given the graduate school opportunities, GREs, ac• lege careers. On many campuses, students increasing concern about the quality of tuarial examinations, and undergraduate can have access to a department's advis• advising, mathematics departments may research opportunities. Students and ad• ing handbook through an electronic even find that their deans are willing to visors are not the only beneficiaries of bulletin board. Posting a departmental commit summer salary funds to allow well-written advising handbooks; the advising handbook on such abulletin board departmental advising handbooks to be handbooks are also excellent orientation allows students who are shopping around written. tools for new faculty members. for a major to review the handbook at no cost to the department. And it also allows The MAA Committee on Advising wel• Departments often give each mathemat• counselors in high schools and two-year comes comments and suggestions. Send ics major acopy of the advising handbook. colleges to have access to departmental your e-mail comments to DJLUTZ The goal is twofold: first to provide an• advising materials as they talk to prospec• @MAIL.WM.EDU. swers to the most frequently asked tive students about college applications David Lutzer, who chairs the MAA's ad questions so that students' time with fac• and transfers. ulty advisors can be more profitably spent hoc Committee on Advising, is Dean of on individualized advising; and second Preparing a departmental advising hand- Arts and Sciences at the College ofWill• iam and Mary. @------October 1994 FOCUS Joint Mathematics Meetings, San Francisco, 1995

California's City by the Bay, everyone's the current job market for favorite city, San Francisco, is the venue mathematics Ph.D.s, which for the 1995 Joint Mathematics Meetings, is sure to attract a large at• January 4-7. tendance from graduate The MAA and the AMS have arranged a students. Also likely to be rich and varied program to compete with popular is a minicourse on the scenic and culinary competition of the teaching environmental area. numeracy to liberal arts stu• dents. This year there are a JointAMS-MAAaddresses will be given record 22 minicourses be• by Doris Schattschneider (Moravian Col• ing offered. lege), Ingenious MathematicalAmateurs: M.e. Escher (artist) and Marjorie Rice Susan Forman and Lynn (homemaker); and DavidA. Cox (Amherst Steen of the MSEB are or• College), The Algebra ofSolving Polyno• ganizing a panel discussion mial Equations. on the mathematical prepa• ration of the technical The MAA invited addresses will be given workforce; Eric Muller and by Karen Uhlenbeck (University of Texas Bernard Hodgson are ar• at Austin), David Hill (Temple Univer• ranging a panel discussion sity), Karen Parshall (University of on how to popularize math• Virginia), Joan Ferrini-Mundy (Univer• ematics; and Arnold sity of New Hampshire), Lenore Blum Ostebee and Donald Albers (Mathematical Sciences Research Insti• are organizing a panel dis• tute), and Mario Martelli (CaliforniaState cussion titled The University at Fullerton). Information Superhighway vide an illustration oftheirteaching skills, As in previous years, there will be a spe• and You. and the publishers of mathematics books cial social for first-time attendees at the The MAA Student Lecture will be given and software will be present in large num• Joint Meetings on Wednesday evening by popular author William Dunham bers to display their latest wares. from 6:00 - 7:00 P.M., a Mathchats and (Muhlenberg College), who will speak on graduate student reception onTuesday All this and much, much more awaits you Newton's method. evening at 5:30, and an AMS-MAAjoint in San Francisco-ameeting definitely not prize session at 4:25p.M. on Thursday. As usual, winners of the MAA college to be missed, and a great one to start with teaching awards will be on hand to pro- if you have neverbefore attended the Joint Among the many minicourses is one on Mathematics Meetings. FOCUS October 1994 Joint Mathematics Meetings ~~MATIC8 9:05AM-1O:55AM Panel Discussion: Insti• tutional Approach to Calculus Reform-Getting Everyone on Board, organized by Martin Flashman (Humboldt ~u::a::::::::O' January ~~::~-~~~AM(i,~J State University) for the CUPM .'~ Subcomittee on Calculus Reform and the Panel Discussion: -"". IJII \ First Two Years .S. ~ J ~ 8:30 AM-4:00 PM Board of Governors Meet• Cornmuruty erVlce • an" mg Learning, organized by Don Bushaw 9:05AM-I0:55AM SUMMA Special Pre• sentation: Intervention Projects for 3:00 PM- 5:00 PM Minicourse lA: Calcu• (Washington State University) for the Minority Precollege Students, organized lus from Graphical, Numerical, and Coordinating Council for Human Re• by William A. Hawkins (MathematicalAs• Symbolic Points ofView, Arnold Ostebee sources sociation ofAmerica) (St. OlafCollege) and Paul Zorn (St. Olaf 8:00AM-9:55AM Panel Discussion: Math• College) ematical Competitions: Bringing Out the 9:05AM-I0:55AM Presentations by Instru• mentation and Laboratory Improvement 3:00 PM-5:00 PM Minicourse 2A: Teach• Best? organized by Thomas W. Tucker Awardees, organized by Anita Solow ing Environmental Numeracy to Liberal (Colgate University) (Grinnell College) Arts Students, Martin Walter (University 8:00AM-I 0:00AM Minicourse 5A: An In• of Colorado) troductory Mathematics Course Called 11: lOAM-l2:00PM AMS-MAA Invited Address: The Algebra ofSolving Polyno• 3:00 PM-5:00 PM Minicourse 3A: Combi• Chance, 1. Laurie Snell (Dartmouth Col• mial Equations, David A. Cox (Amherst natorics via Functional Equations, Donald lege), Peter Doyle (University of College) R. Snow (Brigham Young University) California, San Diego), and Joan Garfield (University of Minnesota) 2: 15 PM-3:05 PM MAA Invited Address: 3:00 PM-5:00PM Minicourse4A: The Math• Geometric Perspective in Research, Karen ematics of Epidemics, Sonja Sandberg 8:00AM-1O:00AM Mincourse 7A: How to Uhlenbeck (University of Texas at Aus• (Framingham State College) Use Graphing Calculator-Based Numeri• cal and Graphical Methods to Enhance the tin) 3:00 PM-5:00 PM Minicourse 22A: Learn• Teaching and Learning ofCalculus, Wade 2: 15 PM-4: 15 PM Minicourse 5B: An Intro• ing About Today's Job Market for Ellis, Jr. (West Valley College) and Bert ductory Mathematics Course Called Mathematics Ph.D.s, Curtis D. Bennett Waits (The Ohio State University) Chance, J. Laurie Snell (Dartmouth Col• (Bowling Green State University) and Ri• lege), Peter Doyle (University of chard Phillips (Michigan State University) 8:00AM-lO:00AM Minicourse 8A: Learn• ing Styles Approach to Mathematics California, San Diego), and Joan Garfield 7:00 PM-9:00 PM Minicourse lB: Calculus Instruction, Kenneth Williamson (Oregon (University of Minnesota) from Graphical, Numerical, and Symbolic State University) and Richard Schori (Or• 2: 15 PM-4: 15 PM Minicourse9A: Dynamic Points of View, Arnold Ostebee (St. Olaf egon State University) Geometry via Geometer's Sketchpad, College) and Paul Zorn (St. OlafCollege) 8:00AM-I0:00AM Minicourse 18A: Calcu• Doris Schattschneider(Moravian College) 7:00 PM-9:00 PM Minicourse 2B: Teaching lus in Context, James Callahan (Smith and James King (University of Washing• Environmental Numeracy to Liberal Arts College), Kenneth Hoffman (Hampshire ton) Students, Martin Walter (University of College), Donal 0'Shea (Mount Holyoke 2: 15 PM-6:00 PM Contributed Paper Ses• Colorado) College), and Harriet Pollatsek (Mount sion: Chaotic Dynamics and Fractal 7:00 PM-9:00 PM Minicourse 3B: Combi• Holyoke College) Geometry, Denny Gulick (University of natorics via Functional Equations, Donald 8:00AM-1O:55AM Contributed Paper Ses• Maryland) and Jon Scott (Montgomery R. Snow (Brigham Young University) sion: Laboratory Approaches to Teaching College) 7:00 PM-9:00 PM Minicourse4B: The Math• Mathematics, Jon Wilkin (Northern Vir• 2: 15 PM-6:00 PM Contributed Paper Ses• ematics of Epidemics, Sonja Sandberg ginia Community College) and Marilyn sion: Innovations in Teaching Linear (Framingham State College) Mays (North Lake College) Algebra, Donald R. LaTorre (Clemson University), Steven J. Leon (ATLAST) 7:00 PM-9:00 PM Minicourse 22B: Learn• 8:00AM-1O:55AM Contributed Paper Ses• (University of at ing About Today's Job Market for sion: New Directions in Student Dartmouth), and David C. Lay (LACSG) Mathematics Ph.D.s, Curtis D. Bennett Assessment, Rose Hamm (College of (University of Maryland) (Bowling Green State University) and Ri• Charleston) and Richard Vandervelde chard Phillips (Michigan State University) (Hope College) 2: 15 PM-6:00 PM Contributed Paper Ses• sion: Preparing Teachers to Implement Wednesday, January 4 8:00AM-1O:55AM Contributed Paper Ses• sion: Teaching with Original Sources, Change, Bettye Clark (Clark Atlanta Uni• versity), Robert Bix (University of 8:00AM-8:55AM Panel Discussion: Life David Pengelley (New Mexico State Uni• Michigan-Flint), and M. Kathleen Heid After Retirement, organized by Andrew versity) and Reinhard Laubenbacher(New (Pennsylvania State University) Sterrett, Jr. (Mathematical Association of Mexico State University) America) @------October 1994 FOCUS

3:20 PM-4: 10 PM MAA Invited Address: 9:30AM-l0:55AM Panel Discussion: Math• 2:15 PM-4:10 PM Panel Discussion: Test• Teaching Linear Algebra with Technol• ematical PreparationoftheTechnical Work ing Issues with Technology, moderated by ogy: Its Impact, David R. Hill (Temple Force, organized by Jack Price (National John Harvey (University of Wisconsin• University) and David E. Zitarelli (Temple Council ofTeachers ofMathematics), Su• Madison) for the Committee on Testing University) san Forman Mathematical Sciences 4:25 PM-5:45 PM Joint AMS-MAA Prize Education Board), and Lynn Steen (Math• 3:20PM-4: 15PM Contributed PaperSession: Session ematical Sciences Education Board) Teaching with Original Sources, David 5:45 PM-6:30 PM Joint AMS-MAA Prize Pengelley (New Mexico State University) I0:05AM-l0:55AM MAA Invited Address: Session Reception and Reinhard Laubenbacher(New Mexico Applied Pure Mathematics: The Case ofJ. State University) J. Sylvester and Invariant Theory, Karen 5:45 PM-7:00 PM Two-Year College Re• Parshall (University of Virginia, ception 4:30 PM-6:30 PM MAA Section Officers' Charlottesville) Meeting 7:00 PM-8:20 PM Reunion for Calculus 2: 15 PM-4: 10 PM Contributed Paper Ses• Reform Workshop Participants, Don Small 6:00 PM-7:00 PM Social for First Time At• sion: Teaching with Original Sources, (U.S. Military Academy) tendees David Pengelley (New Mexico State Uni• 7:00 PM-8:20 PM Informal Gathering: Hu• versity) and Reinhard Laubenbacher(New Thursday, January 5 manistic Mathematics Network, Alvin Mexico State University) 8:00AM-9:20AM Panel Discussion: Forum White (Harvey Mudd College) 2: 15 PM-4: 10 PM Contributed Paper Ses• on the Mathematical Preparation of K-6 7:00 PM-I 0:00 PM Contributed Paper Ses• sion: Mathematical Sciences,Technology, Teachers, organized by Susan Forman sion: Laboratory Approaches to Teaching and Economic Competitiveness, S. Brent (Mathematical Sciences Education Board) Mathematics, Jon Wilkin (Northern Vir• Morris (National Security Agency) and and Lynn Steen (Mathematical Sciences ginia Community College) and Marilyn Patrick Dale McCray (G. D. Searle and Education Board) Mays (North Lake College) Company) 8:00AM-1O:00AM Minicourse 7B: How to 7:00 PM-1O:00 PM Contributed Paper Ses• 2: 15 PM-4: 10 PM Contributed Paper Ses• Use Graphing Calculator-Based Numeri• sion: New Directions in Student sion: Recruitment and Retention of cal and Graphical Methods to Enhance the Assessment, Rose Hamm (College of Women Faculty, Marcelle Bessman Teaching and Learning ofCalculus, Wade Charleston) and Richard Vandervelde (Frostburg State University), Gerald Por• Ellis, Jr. (West Valley College) and Bert (Hope College) Waits (The Ohio State University) ter (University of Pennsylvania), and Sr. Miriam Cooney (University of Notre 7:00 PM-1O:00 PM Contributed Paper Ses• 8:00AM-I0:00AM Minicourse 18B: Calcu• Dame) sion: Innovations in Teaching Linear lus in Context, James Callahan (Smith Algebra, Donald R. LaTorre (Clemson 2: 15 PM-4: 15 PM Minicourse 8B: Learning College), Kenneth Hoffman (Hampshire University), Steven J. Leon (ATLAST) Styles Approach to Mathematics Instruc• College), Donal O'Shea (Mount Holyoke (University of Massachusetts at tion, Kenneth Williamson (Oregon State College), and Harriet Pollatsek (Mount Dartmouth), and David C. Lay (LACS G) University) and Richard Schori (Oregon Holyoke College) (University of Maryland) State University) 8:00AM-l0:55AM Contributed Paper Ses• 7:00 PM-9:00 PM Minicourse 12A: Linear 2: 15 PM-4: 15 PM Minicourse 9B: Dynamic sion: Dynamic Geometry, James R. King Algebra with DERIVE, Jerry Johnson Geometry via Geometer's Sketchpad, (University of Washington) and Doris (University of Nevada, Reno) and Benny Doris Schattschneider(Moravian College) Schattschneider (Moravian College) Evans (Oklahoma State University) and James King (University of Washing• 8:00AM-IO:55AM Contributed Paper Ses• ton) 7:00 PM-9:00 PM Minicourse 13A: Intro• sion: The First Two Years,William J. Davis duction to Research in the Teaching and 2: 15 PM-4: 15 PM Minicourse llA: Multi• (The Ohio State University) and Donald Learning of Undergraduate Mathematics: variable Calculus Using the Harvard B. Small (U.S. Military Academy) Examples in Calculus, Joan Ferrini• Calculus Consortium Materials, Thomas Mundy (University of New Hampshire) 8:00AM-1O:55AM Contributed Paper Ses• W. Tucker (Colgate University) sion: Making Statistics Come Alive and M. Kathleen Heid (PennsyIvania State Robert W. Hayden (Plymouth State Col~ 2: 15 PM-4: 10 PM Panel Discussion: Advis• University) ing Methods that Work, organized by lege) and Mary R. Parker (Austin 8:30 PM-9:30 PM Poetry Reading, JoAnne Diane Herrmann (University ofChicago) Community College) Growney (Bloomsburg University) and David Lutzer (College of William and 9:30AM-1O:55AM Panel Discussion: The Mary). Friday, January 6 Emerging Scholars Programs: Strength• ening Freshman Mathematics Courses to 2: 15 PM-4: 10 PM Panel Discussion: Popu• 7:00AM-8:00AM JointPME and MAA Stu• Achieve Diversity, organized by Uri larizing Mathematics, Eric Muller (Brock dent Chapters Advisors Continental Treisman (University ofTexas at Austin) University) and Bernard Hodgson Breakfast forthe Committeeon Mathematical Prepa• (Universite Laval) 8:00AM-9:20AM Panel Discussion: Stand- ration of Minorities ------@ FOCUS October 1994

ards for Introductory College Mathemat• Council and theAMS Education Commit• (University of Maryland) ics, organized by Marilyn Mays (North tee 2:15 PM-3:05 PM MAA Invited Address: Lake College) 9:30AM-IO:55AM Special Presentation: Research in the Teaching and Learning of 8:00AM-9:20AM Panel Discussion: Prepa• Reform in Engineering Curricula, a talk Calculus: Progress and Potential, Joan ration of Beginning Graduate Student by Delores Etter (University ofColorado Ferrini-Mundy (University of New Hamp• Teaching Assistants, organized by Lee L. at Boulder), followed by discussion; or• shire) Zia (University of New Hampshire) ganized by Jane Day (San Jose State 3:20 PM-5:00 PM MAA Teaching Awards University) and Wade Ellis (West Valley 8:00AM-1 0:00AM Minicourse lOA: The Presentations College) for the CUPM Subcommittee on Use of Symbolic Computation in Prob• Service Courses 5:05 PM-6:20 PM Informal Session on Ac• ability and Statistics, Zaven A. Karian tuarial Education, organized by Jim Daniel (Denison University) and Elliot A. Tanis II: IOAM-12:00PM Joint AMS-MAA In• (University of Texas at Austin) (Hope College) vited Address: Ingenious Mathematical Amateurs: M. C. Escher (artist) and 7:00 PM-9:00 PM Minicourse 12B: Linear 8:00AM-1 0:00AM Minicourse 14A: Recov• Marjorie Rice (homemaker), Doris Algebra with DERIVE, Jerry Johnson ering Motivation in Mathematics: Schattschneider (Moravian College) (University of Nevada, Reno) and Benny Teaching with Original Sources, Reinhard Evans (Oklahoma State University) Laubenbacher (New Mexico State Uni• I :00 PM-3:00 PM Minicourse lOB:The Use versity) and David Pengelley (New of Symbolic Computation in Probability 7:00 PM-9:00 PM Minicourse 19A: An In• Mexico State University) and Statistics, Zaven A. Karian (Denison troduction to Fractal Functions and Fractal University) and Elliot A. Tanis (Hope Surfaces and their Connection to Wavelet 8:00AM-I0:00AM Minicourse 15A: Coop• College) Theory, Peter R. Massopust (Sam Hous• erative Groups and Socratic Interactions ton State University) in the College Mathematics Classroom, 1:00 PM-3:00 PM Minicourse 14B: Recov• William J. Davis (The Ohio State Univer• ering Motivation in Mathematics: 7:00 PM-9:00 PM Minicourse 21A: Math• sity) and Thomas Railey (The Ohio State Teaching with Original Sources, Reinhard ematical Modeling, Mark M. Meerschaert University) Laubenbacher (New Mexico State Uni• (University of Nevada) versity) and David Pengelley (New 8:00AM-IO:00AM Minicourse 16A: How 7:00 PM-lO:OO PM Contributed Paper Ses• Mexico State University) to Make Fractals, Denny Gulick (Univer• sion: Making Statistics Come Alive, sity of Maryland ) and Jon Scott 1:00 PM-3:00 PM Minicourse 17A: An In• Robert W. Hayden (Plymouth State Col• (Montgomery College) troduction to Numerical Modeling, John lege) and Mary R. Parker (Austin Loase (Westchester Community College) , Community College) 8:00AM-I 0:55AM StudentChapters Special and Ben A. Fusaro (Salisbury State Uni• Paper Session, organized by Karen 7:00 PM-I 0:00 PM Contributed Paper Ses• versity) Schroeder (Bentley College) for the Com• sion: Mathematical Sciences,Technology, mittee on Student Chapters 1:00 PM-3:30 PM Open Forum-Discussion and Economic Competitiveness, S. Brent ofthe CTUMjCUPM Agenda, moderated Morris (National Security Agency) and 8:00AM-I0:55AM Contributed Paper Ses• by James R. C. Leitzel (University of Patrick Dale McCray (G. D. Searle and sion: Preparing Teachers to Implement Nebraska-Lincoln) Company) Change, Bettye Clark (Clark Atlanta Uni• versity), Robert Bix (University of 1:00 pm-3:30 PM Panel Discussion: The 7:00 PM-lO:OO PM Contributed Paper Ses• Michigan-Flint), and M. Kathleen Heid Information Superhighway and You, or• sion: Research in Undergraduate (Pennsylvania State University) ganized by Arnold Ostebee (St. Olaf Mathematics Education, Daniel L. Goroff College) and Donald Albers (Mathemati• () and Joan Ferrini• 8:00AM-1O:55AM Contributed Paper Ses• cal Association of America) for the Mundy (University of New Hampshire) sion: Recruitment and Retention of Committee on Computers in Mathemat• Women Faculty, Marcelle Bessman 7:30 PM-8:20 PM Student Lecture: ics Education and the Committee on (Frostburg State University), Gerald Por• Newton's (Original) Method-or• Electronic Services ter (University of Pennsylvania), and Sr. Though This Be Method, Yet There Is Miriam Cooney (University of Notre 1:00 PM-6:00 PM Contributed Paper Ses• Madness In 't, William Dunham Dame) sion: Chaotic Dynamics and Fractal (Muhlenberg College) Geometry, Denny Gulick (University of 9:30AM-I 0:55AM Panel Discussion: You're 8:30 PM-9:30 PM Student Activity: Ice Maryland) and Jon Scott (Montgomery the Professor, What Next? moderated by Cream Social College) Bettye Anne Case (Florida State Univer• sity) and sponsoredby the Joint Committee 1:00 PM-6:00 PM Contributed Paper Ses• Saturday, January 7 on Preparation for College Teaching sion: Innovations in Teaching Linear 8:00AM-9:00AM Assessing Calculus Re• Algebra, Donald R. LaTorre (Clemson 9:30AM-1O:55AM Panel Discussion: GRE form Efforts-A Report to the University), Steven J. Leon (ATLAST) Mathematics Reasoning Examination, Community, with presenters Alan C. (University of Massachusetts at moderated by Alan Tucker (SUNY at Tucker (State University of New York, Dartmouth), and David C. Lay (LACS G) Stony Brook) for the MAA Education @------October 1994 FOCUS Stony Brook), John A. Dossey (Illinois Chapel Hill) and Jim White (University of Loase (Westchester Community College) State University) and James R. C. Leitzel North Carolina-Chapel Hill) and Ben A. Fusaro (Salisbury State Uni• (University of Nebraska-Lincoln) 1:00 PM-3:00 PM Minicourse liB: Multi• versity) 8:00AM-IO:00AM Minicourse 6A: Explor• variable Calculus Using the Harvard 3:15 PM-5:l5 PM Minicourse 19B: An In• ing MathKit Microworlds, Ladnor Calculus Consortium Materials, Thomas troduction to Fractal Functions and Fractal Geissinger (University of North Carolina• W. Tucker (Colgate University) Surfaces and their Connection to Wavelet Chapel Hill) and Jim White (University of 1:00 PM-3:00 PM Minicourse 15B: Coop• Theory, Peter R. Massopust (Sam Hous• North Carolina-Chapel Hill) erative Groups and Socratic Interactions ton State University) 8:00AM-lO:00AM Minicourse 13B: Intro• in the College Mathematics Classroom, 3:15 PM-5:15 PM Minicourse 20B: Doing duction to Research in the Teaching and William J. Davis (The Ohio State Univer• Discrete Mathematics with Undergradu• Learning of Undergraduate Mathematics: sity) and Thomas Railey (The Ohio State ates, Gary J. Sherman (Rose-Hulman Examples in Calculus, Joan Ferrini• University) Institute of Technology) Mundy (University of New Hampshire) 1:00 PM-3:00 PM Minicourse 16B: How to and M. Kathleen Heid (Pennsylvania State 3:15 PM-5:15 PM Minicourse 21B: Math• Make Fractals, Denny Gulick (University University) ematical Modeling, Mark M. Meerschaert of Maryland) and Jon Scott (Montgom• (University of Nevada) 8:00AM-l0:00AM Minicourse 20A: Doing ery College) Discrete Mathematics with Undergradu• 1:00 PM- 3:00 PM StudentWorkshop: Math• ates, Gary J. Sherman (Rose-Hulman ematics and theAIDS Epidemic, organized Meetings Program Institute of Technology) by Sonja Sandberg (Framingham State 8:00AM-IO:55AM Contributed Paper Ses• College) and intended only for students Guide sion: Dynamic Geometry, James R. King 1:00 PM-2:55 PM Special Session: Shaping The Scientific Program------22 (University of Washington) and Doris Up: Expectations for High School Math• Schattschneider (Moravian College) ematics, organized for the Coordinating The 78th Annual 8:00AM-IO:55AM Contributed Paper Ses• Board of AMATYC, MAA, and NCTM Meeting of the MAA ------22 sion: The First Two Years,WilliamJ. Davis (CBAMN) by Susan Forman (Mathemati• (The Ohio State University) and Donald cal Sciences Education Board), Donald MAA Minicourses ------22 B. Small (U.S. Military Academy) Kreider (Dartmouth College), and Marcia Sward (Mathematical Association of 8:00AM-IO:55AM Contributed Paper Ses• Other MAA Sessions ------25 America) sion: Experiences with Modeling in Elementary Differential Equations, Rob• 1:00 PM-4:30 PM Special Session: Under• MAA Teaching ert Borrelli (Harvey Mudd College) and graduate Curriculum Reform, organized Awards Presentations ------27 Courtney Coleman (Harvey Mudd Col• by James R. C. Leitzel (University of lege) Nebraska-Lincoln), as part of the MAA Student Activities ------27 project Priming the Pump for Curricular 9:00AM-9:50AM MAA Invited Address: Reform AMS Sessions ------28 Computing over the Reals, Lenore Blum (Mathematical Sciences Research Insti• 1:00 PM-5:30 PM Contributed Paper Ses• Activities of Other tute) sion: Research in Undergraduate Mathematics Education, Daniel L. Goroff Organizations------30 9:30AM-l0:55AM Special Presentation and (Harvard University) and Joan Ferrini• Discussion: Classroom Climate Scenarios: Other Events of Interest ------30 Mundy (University of New Hampshire) WhatWould YouDo If..., DeborahTepper Haimo (University of California, San Di• 1:00 PM-5:30 PM Contributed Paper Ses• How to Register ------31 ego) and Daniel L. Goroff (Harvard sion: Experiences with Modeling in University) Elementary Differential Equations, Rob• Advance Registration ert Borrelli (Harvey Mudd College) and 1O:05AM-IO:55AM MAA Invited Address, Deadlines------32 Courtney Coleman (Harvey Mudd Col• Rolle's Theorem: Historical Remarks, lege) RecentDevelopments, Multi-dimensional How to Obtain Version, and Conjectures, Mario Martelli 3: 10 PM-5:00 PM Panel Discussion by In• Hotel Accomodations ------34 (California State University at Fullerton) dustry Actuaries: How to Help your Students Prepare for and Find Jobs, orga• Employment Register ------37 11:IOAM-1I:40AM MAA Business Meet• nized by Jim Daniel (University of Texas ing at Austin) MAA Minicourse 1:00 PM-3:00 PM Minicourse 6B: Explor• 3:15 PM-5:15 PM Minicourse 17B: An In• Registration Fonn------42 ing MathKit Microworlds, Ladnor troduction to Numerical Modeling, John Geissinger(University of North Carolina- Advance Registration Form - 44 ------@ FOCUS October 1994

Meetings

The Scientific Program environment of a large meeting. The program will include a 20- to 30• The January 1995 Joint Mathematics Meetings, including the 78th minute magic show put on by S. Brent Morris, MAA governor-at-large Annual Meeting of the Mathematical Association of America, the representing Mathematicians Outside Academia. Refreshments will be IOlst Annual Meeting of the AMS, and the 1995 annual meetings served. of the Association of Symbolic Logic, the Association for Women in Joint Prize Session and Reception: In order to showcase the Mathematics, and the National Association for Mathematicians, will achievements of the recipients of various prizes, AMS and MAA are be held January 4-7 (Wednesday-Saturday), 1995, in San Francisco, cosponsoring this event at 4:25 p.m. on Thursday. A cash bar reception California. Sessions will be held in the San Francisco Hilton on Hilton will immediately follow. All participants are invited to attend. The Square and in the Pare Fifty-Five. MAA prizes to be awarded include the Deborah and Franklin Tepper Haimo Awards for Distinguished College or University Teaching of Mathematics, the Chauvenet Prize, the Yueh-Gin Gung and Dr. Charles AMS-MAA Invited Addresses Y. Hu Award for Distinguished Service to Mathematics, and Certificates Doris J. Schattschneider, Moravian College, Ingenious mathematical of Meritorious Service. The AMS will announce the recipients of amateurs: M. C. Escher (artist) and Marjorie Rice (homemaker), Friday the Cole Prize, the Satter Prize, the Norbert Wiener Prize in Applied II: 10 a.m.; and Mathematics, and the Award for Distinguished Public Service. The AWM David A. Cox, Amherst College, The algebra ofsolving polynomial will present the Louise Hay Award for Contributions to Mathematics equations, Wednesday, II: 10 a.m. Education.

Other AMS-MAA Sessions 78th Annual Meeting of the MAA Special Sessions: Mathematics and education reform, organized by Naomi Fisher, University of Illinois at Chicago; Harvey B. Keynes, January 4-7, 1995 University of Minnesota, Minneapolis; Kenneth C. Millett, Univer• sity of California at Santa Barbara; Hugo Rossi, University of Utah; Invited Addresses and T. Christine Stevens, Saint Louis University. Wednesday after• Lenore Blum, Mathematical Sciences Research Institute, Computing noon and Thursday morning and afternoon. Also cosponsored by the over the reals, Saturday 9:00 a.m.; Mathematicians and Education Reform (MER) Network. Joan Ferrini-Mundy, University of New Hampshire, Research in undergraduate mathematics education, organized by Research in Daniel L. GorotT, Harvard University, and Joan Ferrini-Mundy, the teaching and learning of calculus: Progress and potential, Friday 2:15 p.m.; University of New Hampshire, Friday evening and Saturday afternoon. Sponsored by the AMS-MAA Committee on Research in Undergraduate David R. Hill and David E. Zitarelli, Temple University, Teaching Mathematics Education. linear algebra with technology: Its impact, Wednesday 3:20 p.m.; You're the Professor, What Next?: Friday, 9:30 a.m. to 10:55 a.m. Mario U. Martelli, California State University at Fullerton, Rolle's This panel and discussion, with the same name as the new MAA Notes Theorem: Historical remarks, recent developments. a multidimensional 35, is sponsored by the JPBM-initiated Committee on Preparation for version, and a conjecture, Saturday 10:05 a.m.; College Teaching (a joint AMS-MAA-SIAM committee) and organized Karen H. Parshall, University of Virginia, Appliedpure mathemat• by Bettye Anne Case, Florida State University. ics: The case of J. J. Sylvester and invariant theory, Thursday 10:05 GRE Mathematics Reasoning Examination: Friday, 9:30 a.m. to a.m.; and 10:55 a.m. This panel discussion is sponsored by the AMS Committee Karen Uhlenbeck, University of Texas at Austin, Geometric on Education and the MAA Education Council and is organized by perspective in research, Wednesday 2:15 p.m.. Alan Tucker, SUNY at Stony Brook. In fall 1997 the GRE General Test will be reorganized with a new Mathematical Reasoning test that will have a calculus prerequisite. Its questions will include visualization Minicourses and applied interpretation problems of the sort found in most reformed Minicourse #1: Calculus from graphical. numerical, and symholic calculus courses. Members of this panel from ETS, MAA, and AMS points of view, Arnold M. Ostebee and Paul Zorn, St. Olaf College. will give information about this test and its expected impact. Part A: 3:00 p.m. to 5:00 p.m. on Tuesday, and Part B: 7:00 p.m. to 9:00 p.m. on Tuesday. Enrollment limited to 50. Cost is $45. This minicourse introduces Calculus from Graphical, Numerical, Other AMS-MAA Events and Symholic Points of View, a calculus text developed at St. Olaf Mathchats and Graduate Student Reception: On Tuesday evening College with support from the NSF and FIPSE. The text complements well-known mathematicians representing a wide range of disciplines the standard symbolic/algebraic approach to calculus with pervasive (Tom Banchoff, Donna Beers, Lenore Blum, Fan Chung, Annalisa and systematic treatment of geometric and numerical points of view. Crannell, Florence Fasanelli, Judy Green, Bill Hawkins, Victor Katz, Technology is used to foster and facilitate graphical and numerical Linda Keen, Laura Kelleher, Barbara Leasher, Jim Lightbourne, Pat thinking. This minicourse will include brief overviews of philosophy, McCray, Fred Rickey, Ken Ross, Doris Schattschneider, Martha Siegel, pedagogy, and mathematical content; hands-on work on textbook Phil Straffin, Ann Watkins, Silvia Wiegand, and others) will join problems; group discussion and critique; practical advice; and reports interested graduate students for informal chats; all graduate students are from experienced field testers. Participants will be supplied copies of invited. Participants will meet in the main lobby of the Hilton at 5:30 the text. Graphing calculators will be available on site; participants are p.m. on Tuesday and will walk to a local Chinese restaurant for dinner. encouraged to bring their own. Return is at your leisure. Minicourse #2: Teaching environmental numeracy to liberal arts NOTE: This event is for students only who sign up in advance on students, Martin E. Walter, University of Colorado, Boulder. Part A: the Advance Registration Form. There is no cost. 3:00 p.m. to 5:00 p.m. on Tuesday, and Part B: 7:00 p.m. to 9:00 p.m. Reception for First-time Attendees: The AMS Committee on on Tuesday. Enrollment limited to 80. Cost is $45. Membership and the MAA Committee on Membership are cosponsoring The goal of the course is to equip students with the mathematical a social hour on Wednesday from 6:00 p.m. to 7:00 p.m. If this is your tools they need to understand our increasingly complex environment and first national meeting, you are especially encouraged to come and thrive in it. Starting with arithmetic we build the mathematical structures meet some old-timers and pick up a few tips on how to survive the that we need. For example when we study population dynamics, we ~g) ------October 1994 FOCUS

Meetings begin our analysis with a Schwartz model which uses only arithmetic; objects and basic commands will be handed out. Participants should we build our way up to exponentials and logarithms. When we are have used at least one Windows application. done, we are capable of seeing, for example, how family size affects the Minicourse #7: How to use graphing calculator-based numerical doubling time of a population. We study some of the mathematics of and graphical methods to enhance the teaching and learninng of acid rain, AIDS, ancient forests, fish, and materials consumption. calculus, Wade Ellis, Jr., West Valley College, and Bert K. Waits, The Minicourse #3: Combinatorics via functional equations, Donald R. Ohio State University. Part A: 8:00 a.m. to 10:00 a.m. on Wednesday, Snow, Brigham Young University. Part A: 3:00 p.m. to 5:00 p.m. on and Part B: 8:00 a.m. to 10:00 a.m. on Thursday. Enrollment limited to Tuesday, and Part B: 7:00 p.m. to 9:00 p.m. on Tuesday. Enrollment 30. Cost is $45. limited to 80. Cost is $45. Participants will have the opportunity to gain "hands-on" experience We will show that many of the ad hoc methods of combinatorics using graphing calculator-based graphical and numerical methods with can be unified by a simple functional equations approach. This approach selected topics from differential and integral calculus. Our focus will yields the sums of powers of the integers (and many generalizations), be on how the teaching and learning of calculus changes when combinations and permutations (with many types of repetitions), and graphing calculators are readily available to calculus students for other standard combinatorial functions, as well as many new results. both classroom and homework activities. Topics will include limits, This method uses the combinatorial description to find a functional derivatives, optimization, differential equations, integration, and related equation and then finds the function from that. It gives a means of applications. Graphing calculators will be provided for each participant, getting many of the identities, properties, and generating functions, and who is expected to have had some experience with graphing calculators. shows how the functions are related to each other. Spinoffs from the Minicourse #8: Learning styles approach to mathematics instruction, basic approach include the Bernoullli and Euler polynomials, orthogonal Kenneth Williamson and Richard M. Schori, Oregon State University. polynomials, and other special functions. An understanding of basic Part A: 8:00 a.m. to 10:00 a.m. on Wednesday, and Part B: 2:15 p.m. to combinatorics, calculus, and power series is sufficient background for 4:15 p.m. on Thursday. Enrollment limited to 80. Cost is $45. this minicourse. The small amount of functional equations needed will The workshop I) introduces a methodology for planning courses be developed in the course. that increases student understanding, retention, and satisfaction, and Minicourse #4: The mathematics ofepidemics, Sonja I. Sandberg, 2) sensitizes faculty to the different learning styles of students which Framingham State College. Part A: 3:00 p.m. to 5:00 p.m. on Tuesday, motivates the importance of I). The methodology, termed an integrated and Part B: 7:00 p.m. to 9:00 plm. on Tuesday. Enrollment limited to learning cycle, allows flexibility for faculty to alternately incorporate 80. Cost is $45. displays of mathematics (symbolically, numerically, and graphically), This minicourse will discuss the many ways that mathematics has practice in laboratory situations, and real world applications. Examples been and can be used to describe the behavior of epidemics and will be given of learning cycles used for various math concepts in infectious diseases. Examples of models appropriate for undergraduate calculus and each participant will apply the learning cycle to one of mathematics courses, such as probability and statistics, differential his/her courses. equations, finite mathematics, and mathematical modeling will be Minicourse #9: Dynamic geometry via Geometer's Sketchpad, Doris presented. The history of quantitative descriptions of epidemic trends J. Schattschneider, Moravian College, and James R. King, University will be covered using malaria as an example. Focusing on AIDS, models of Washington. Part A: 2:15 p.m. to 4:15 p.m. on Wednesday, and Part for risk to an individual, population models for predicting future trends, B: 2:15 p.m. to 4:15 p.m. on Thursday. Enrollment limited to 30. Cost and the utility of mandatory premarital screening for the AIDS virus is $65. will be discussed. The Geometer's Sketchpad is one of a new breed of programs that Minicourse #5: An introductory mathematics course called CHANCE, allow one to sketch (or construct) two-dimensional figures (without J. Laurie Snell, Dartmouth College, Peter G. Doyle, University of equations) and manipulate them interactively in real time to discover California, San Diego, and Joan B. Garfield, University of Minnesota, invariant properties, view loci, measure and compare, transform by Minneapolis. Part A: 8:00 a.m. to 10:00 a.m. on Wednesday. and Part B: isometries and similarities, investigate noneuclidean figures, and even 2:15 p.m. to 4:15 p.m. on Wednesday. Enrollment limited to 80. Cost is discover theorems. Participants will learn the basics of the program and $45. see specific examples of how it can be used in various undergraduate CHANCE is a case study course that deals with current news college courses, including those that prepare students to teach mathe• involving probability or statistical concepts. It is being developed with matics in high school. The instructors will lead participants through two NSF support. This minicourse will show how we teach CHANCE. We tutorials: Construction and Transformations. In both sessions partici• will start with small group discussions of a current news article. This will pants will be made aware of demonstration sketches and scripts as well be followed by a general discussion of the probabilistic and statistical as other resources that are available. issues involved. The use of activities, computer simulations, and Mosaic Minicourse #10: The use ofsymbolic computation in probability and on the Internet will be illustrated. There are no prerequisites. statistics, Zaven A. Karian, Denison University, and Elliot A. Tanis, Minicourse #6: Exploring MathKit microworlds, Ladnor D. Hope College. Part A: 8:00 a.m. to 10:00 a.m. on Friday, and Part B: Geissinger and James E. White, University of North Carolina, Chapel 1:00 p.m. to 3:00 p.m. on Friday. Enrollment limited to 30. Cost is $65. Hill. Part A: 8:00 a.m. to 10:00 a.m. on Saturday, and Part B: 1:00 p.m. This minicourse will show how a comprehensive package of about to 3:00 p.m. on Saturday. Enrollment limited to 30. Cost is $65. 100 Maple procedures, made available by the authors, can enhance As a reader turns the "pages" of a MathKit book, exploratory math advanced undergraduate courses in probability and statistics. Specific microworlds are created. The book is a computer document and the laboratory problems will illustrate the effective instructional use of pages may contain text, calculations, symbolic expressions, 2- & 3-D simulations that require the generation of random samples from certain graph windows, animations, and code to be executed. Readers can read distributions (or from specified sampling distributions). The course will the text, observe an animation, use built-in tools to explore math topics, have a significant hands-on component and participants are expected write a report, and program. The presenters will use the Windows to be familiar with the use of microcomputers. Although useful, prior toolbox MathKit, and MathWright, a simple authoring system designed experience with Maple is not necessary. to make it easy for teachers to construct learning environments. We will Minicourse #11: Multivariable calculus using the Harvard Calculus lead participants through a variety of sample books, most written by Consortium materials, Thomas W. Tucker, Colgate University. Part A: teachers at IMTP workshops, and together we'll try the authoring tools 2:15 p.m. to 4:15 p.m. on Thursday, and Part B: 1:00 p.m. to 3:00 p.m. to see how one builds a book. A brief description of MathKit books, on Saturday. Enrollment limited to 50. Cost is $45. ------@ FOCUS October 1994

Meetings

The NSF-supported Harvard Calculus Consortium has completed a will actively engage participants in such experiences through selected textbook on single variable calculus and is working on materials for a examples. multivariable course. These materials have been used at a number of Minicourse #16: How to make fractals, Denny Gulick, University institutions. The presenters will give the participants an overview of those of Maryland, and Jon W. Scott, Montgomery College. Part A: 8:00 a.m. materials and their implementation, as well as direct experience with to 10:00 a.m. on Friday, and Part B: I:00 p.m. to 3:00 p.m. on Saturday. selected portions of the course. Participants will have the opportunity to Enrollment limited to 40. Cost is $45. work in groups on exercises from the text and discuss the pedagogical Twenty years after Mandelbrot coined the term "fractal", this implications. The team of presenters will include members of the minicourse will focus on fractals created on the computer or calculator Harvard Calculus Consortium working group. screen and the mathematics behind them. During the first session the Minicourse #12: Linear algebra with DERIVE, Jerry A. Johnson, relevant mathematics (including Hausdorff distance, affine maps, unions University of Nevada, Reno, and Benny D. Evans, Oklahoma State of functions, and the Contraction Mapping Theorem) will be presented. University. Part A: 7:00 p.m. to 9:00 p.m. on Thursday, and Part B: 7:00 During the second session participants will create fractals on graphing p.m. to 9:00 p.m. on Friday. Enrollment limited to 30. Cost is $65. calculators which will be provided for their use. There will also be This minicourse entails hands-on use of the popular software a demonstration of the Macintosh program Fractal Attraction. There DERIVE (for IBM compatible microcomputers). We will introduce are no mathematical or computer prerequisites; handouts will include novices to DERIVE and then examine ways to use it as a demonstration pertinent information. and laboratory tool in elementary linear algebra. This minicourse is Minicourse #17: An introduction to numerical modeling, John P. concerned far more with novel ideas for using DERIVE to enhance Loase, Westchester Community College, and Ben A. Fusaro, Salisbury student learning of linear algebra than just doing rote calculations. State University. Part A: 1:00 p.m. to 3:00 p.m. on Friday, and Part B: Copies of the presenters' book Exploring Linear Algebra with DERIVE 3:15 p.m. to 5:15 p.m. on Saturday. Enrollment limited to 80. Cost is will be made available for participants to use during the minicourse. It $45. will be our main source of examples. This minicourse will give participants the necessary materials and suggestions to innovate either a mathematical modeling team Minicourse #13: Introduction to research in the teaching and or a modeling course. The minicourse will feature: I) presentations learning of undergraduate mathematics: Examples in calculus, Joan by students who won the International Contest in Modeling; 2) a Ferrinl-Mundy, University of New Hampshire, and M. Kathleen Heid, presentation by Ben Fusaro to assist faculty with practical suggestions Pennsylvania State University. Part A: 7:00 p.m. to 9:00 p.m. Thursday, on forming a modeling team; 3) distribution and discussion of a 250+ and Part B: 8:00 a.m. to 10:00 a.m. Saturday. Enrollment limited to 30. page Modeling Manual, which is the outgrowth of Loase's National Cost is $45. Science Foundation Grant. Can better understanding of how students learn and of how teaching Minicourse #18: Calculus in Context, James J. Callahan, Smith affects learning lead to more effective undergraduate mathematics College, Kenneth R. Hoffman, Hampshire College, Donal B. O'Shea, experiences? We will encourage the formation of working groups Mount Holyoke College, and Harriet Pollatsek, Mount Holyoke interested in pursuing this question. By viewing data from research College. Part A: 8:00 a.m. to 10:00 a.m. on Wednesday, and Part B: 8:00 studies of learning and teaching in calculus and other areas, and by a.m. to 10:00 a.m. on Thursday. Enrollment limited to 30. Cost is $65. conducting clinical interviews with undergraduate students, participants will gain first-hand introductory experience with qualitative research Calculus in Context was the first large curriculum project funded methods. An overview of literature and resources helpful for those under the NSF Calculus Reform initiative. It focuses on differential interested in "getting started" in research of this nature will be provided. equations from the outset, draws mathematical concepts out of scientific "Homework" between sessions is planned. problems, and uses computers (or graphing calculators) extensively at every stage for graphical and numerical analysis. Minicourse participants Minicourse #14: Recovering motivation in mathematics: Teaching will experience what students do by discussing contextual problems, with original sources, Reinhard Laubenbacher and David J. Pengel• creating differential equations to model them, and analyzing those ley, New Mexico State University. Part A: 8:00 a.m. to 10:00 a.m. on models using computers. Previous computer experience is not necessary. Friday, and Part B: 1:00 p.m. to 3:00 p.m. on Friday. Enrollment limited Minicourse #19: An introduction to fractal functions and fractal to 80. Cost is $45. surfaces and their connection to wavelet theory, Peter R. Massopust, Mathematics education is faced with two important problems: lack Sam Houston State University. Part A: 7:00 p.m. to 9:00 p.m. on Friday, of motivation in the presentation of theories, and overemphasis of and Part B: 3:15 p.m. to 5:15 p.m. on Saturday. Enrollment limited to utility at the expense of creativity. Participants will explore how the 80. Cost is $45. study of a problem at a subject's core and the long road toward its This minicourse introduces the fundamentals of the theory of fractal solution, through reading original historical sources, can be an effective functions and surfaces and shows their connection to wavelets. The remedy for both these problems. This method can be successful either in fractal point of view not only unifies the seemingly different classical specially designed courses or in the existing curriculum. Original source examples of nowhere differentiable functions but also provides further materials will be provided, with special focus on a lower division course insight into the fine structure of functions and surfaces. Throughout the illustrating the development of five branches of mathematics. course the participant is exposed to topics and exercises that usually go Minicourse #15: Cooperative groups and Socratic interactions in beyond undergraduate calculus and analysis but which are nevertheless the college mathematics classroom, William J. Davis, and Thomas G. at the heart of the subject matter and which can easily be implemented Railey, The Ohio State University. Part A: 8:00 a.m. to 10:00 a.m. on into an existing curriculum to provide a well-rounded perspective. The Friday, and Part B: 1:00 p.m. to 3:00 p.m. on Saturday. Enrollment course material is taken from the presenter's monograph on Fractal limited to 60. Cost is $45. Functions. Fractal Surfaces and Wavelets but is presented at a level that Teaching calculus in a laboratory setting provides many new is accessible to the non-expert. insights into students' learning processes. Getting students involved Minicourse #20: Doing discrete mathematics with undergraduates, with mathematics is the central issue. Getting students to work together, Gary J. Sherman, Rose-Hulman Institute of Technology. Part A: 8:00 to discuss and debate, and to verbalize their ideas is a most important a.m. to 10:00 a.m. on Saturday, and Part B: 3:15 p.m. to 5:15 p.m. on step. Well-designed problem sets and Socratic responses to student Saturday. Enrollment limited to 80. Cost is $45. questions leave the way open for students to draw correct conclusions, Rose-Hulman's NSF Research Experience for Undergraduates pro• justify them, and assume ownership of their new ideas. This course gram has produced a process (getting the question, computer experimen- @------October 1994 FOCUS

Meetings tation, interaction, collaboration, conjecturing, writing) which is now an Contributed Paper Sessions integral (and very well-received) component of the presenter's discrete Teaching with original sources, Reinhard Laubenbacher and David mathematics and abstract algebra courses. Minicourse participants will J. Pengelley, New Mexico State University; 8:00 a.m. and 3:20 p.m. on experience (as students) the process by working through a (condensed) Wednesday and 2:15 p.m. on Thursday. version of a research project that has been adapted for an academic year Laboratory approaches to teaching mathematics, Jon Wilkin, course. Additional examples will be discussed and participants will be Northern Virginia Community College, and Marilyn E. Mays, North encouraged to develop their own projects. Handouts will be provided Lake College; 8:00 a.m. on Wednesday and 7:00 p.m. on Thursday. from Indiscrete Discrete Mathematics and Experiments in Finite Group Sponsored by the Committee on Two-Year Colleges. Theory. Participants and their students are expected to have access to at New directions in student assessment, Rose C. Hamm, College of least one of Axiom, GAP, Macaulay, Magma, Maple, or Mathematica. Charleston, and Richard A, Vandervelde, Hope College; 8:00 a.m. on Minicourse #21: Mathematical modeling, Mark M. Meerschaert, Wednesday and 7:00 p.m. on Thursday. Sponsored by the Committee on University of Nevada, Reno. Part A: 7:00 p.m. to 9:00 p.m. on Friday, Testing. and Part B: 3:15 p.m. to 5: 15 p.m. on Saturday. Enrollment limited to Chaotic dynamics and fractal geometry, Denny Gulick, University 80. Cost is $45. of Maryland, and Jon W. Scott, Montgomery College; 2:15 p.m. on In this minicourse, we will introduce a general five-step method for Wednesday and 1:00 p.m. on Friday. mathematical modeling. Participants will apply the method, working Innovations in teaching linear algebra, Donald R. LaTorre, Clem• in small groups to solve several real world modeling problems in the son University; Steven J. Leon (ATLAST), University of Massachusetts areas of optimization, dynamical systems, and stochastic processes. at Dartmouth; David C. Lay (LACSG), University of Maryland; 2: 15 Discussions will include consideration of appropriate technologies p.m. on Wednesday, 7:00 p.m. on Thursday, and 1:00 p.m. on Friday. (graphing calculators, computer algebra systems, spreadsheets, computer Preparing teachers to implement change, Bettye M. Clark, Clark simulation) and their use in the classroom. Specific examples to Atlanta University; Robert A. Bix, University of Michigan-Flint; demonstrate the appropriate use of several different technologies and M. Kathleen Held, Pennsylvania State University; 2:15 p.m. on will be presented, and handouts will be distributed containing actual Wednesday and 8:00 a.m. on Friday. Sponsored by the Committee on computer outputs. Participants will also be invited to share their own the Mathematical Preparation of Teachers. relevant classroom experience. The five-step method and the problem Dynamic geometry, James R. King, University of Washington, and descriptions used in this minicourse are taken from the presenter's Doris J. Schattschneider, Moravian College; 8:00 a.m. on Thursday textbook, Mathematical Modeling. and 8:00 a.m. on Saturday. Sponsored by the Committee on Computers in Mathematics Education. Minicourse #22: Learning about today's job market for mathematics The first two years, William J. Davis, The Ohio State University, Ph.D,s, Curtis D. Bennett, Bowling Green State University, and and Donald B. Small, U.S. Military Academy; 8:00 a.m. on Thursday Richard E. Phillips, Michigan State University. Part A: 3:00 p.m. to and 8:00 a.m. on Saturday. Sponsored by the CUPM Subcommittee on 5:00 p.m. on Tuesday, and Part B: 7:00 p.m. to 9:00 p.m. on Tuesday. Calculus Reform and the First Two Years. Enrollment limited to 80. Cost is $20. Recruitment and retention of women faculty, Marcelle Bessman, This is a course on the current academic and industrial job market. Frostburg State University; Gerald J. Porter, University of Pennsylva• The target audience is graduate students, Ph.D. advisors, and graduate nia; and Sr. Miriam P. Cooney, University of Notre Dame; 2:15 p.m. chairs. The purpose of this course is to provide information on what on Thursday and 8:00 a.m. on Friday. Sponsored by the Committee on employers are looking for in a candidate, how best for a student to Women in the Mathematical Sciences. prepare for different jobs, and how best to apply for jobs. We will Experiences with modeling in elementary differential equations, discuss the academic, the industrial, and the government job markets. Robert L. Borrelli, Harvey Mudd College, and Courtney S. Coleman, Harvey Mudd College; 8:00 a.m. and 1:00 p.m. on Saturday. Making statistics come alive, Robert W. Hayden, Plymouth State Participants interested in attending should complete the MAA College, and Mary R. Parker, Austin (Texas) Community College; Minicourse Advance Registration Form found at the back of this issue 8:00 a.m. on Thursday and 7:00 p.m. on Friday. and send it with payment directly to the MAA office so as to arrive Mathematical sciences, technology. and economic competitiveness, prior to the November 16 deadline. To check on availability for on-site S. Brent Morris, National Security Agency, and Patrick Dale McCray, registration after the deadline, potential participants are encouraged to G. D. Searle and Company; 2:15 p.m. on Thursday and 7:00 p.m. on call the MAA headquarters at 800-331-1622. The MAA reserves the Friday. Sponsored by the Committee on Mathematicians Outside right to cancel any Minicourse which is undersubscribed. Should this Academia. occur, those registered in advance will be notified and will receive a full refund. Details on submission procedures were published in the September Because of the popularity of the Minicourse program and the number issue of the Notices and the June issue of FOCUS. Authors should have of courses available for this meeting, the MAA is offering five courses submitted summaries of their talks to the organizers by September 2, on Tuesday, one day prior to the opening session. Since attendance at 1994. these courses will require advanced planning, individuals wishing to be enrolled in Minicourses #1-4 or #22 should register in advance. Potential participants who do not register in advance for a Minicourse Other MAA Sessions held on Tuesday may find it impossible to register for the course of their Life after Retirement: Wednesday, 8:00 a.m. to 8:55 a.m. This panel choice on site. discussion is organized by Andrew Sterrett, Jr., MAA, and includes The MAA Minicourses are open only to persons who register for the Henry L. Alder, University of California, Davis; Barbara J. Beechler, Joint Meetings and pay the Joint Meetings registration fee. If the only Pitzer College; Lester H. Lange, Moss Landing Marine Laboratories; reason for registering for the Joint Meetings is to gain admission to and Courtney S. Coleman, Harvey Mudd College. a Minicourse, this should be indicated by checking the appropriate Community Service Learning: Wednesday, 8:00 a.m. to 9:20 a.m. box on the MAA Minicourse Advance Registration Form, Then, if This panel discussion is sponsored by the Coordinating Council on the Minicourse is fully subscribed, a full refund will be made of the Human Resources. The term "community service learning" refers to Joint Meetings advance registration fee (otherwise subject to the 50% programs in which community service, often voluntary, by students is rule). used to enrich undergraduate programs. This discussion will emphasize ------@ FOCUS October 1994

Meetings examples and possibilities for community service learning in mathemat• in the school-to-work movement, e.g., standards, articulation between ics. The panel members are Manuel P. Berrlozabal, University of Texas secondary and postsecondary education, and tracking. Panelists include at San Antonio; Donald W. Bushaw, Washington State University; Sr. Jack Price, National Council of Teachers of Mathematics; Lynn A. Helen Christensen, Loyola College in Maryland; Eileen L. Poiani, St. Steen, MSEB; and Susan L. Forman, MSEB. Peter's College; and Uri Treisman, University of Texas at Austin. Advising Methods that Work: Thursday, 2:15 p.m. to 4: 10 p.m. Mathematical Competitions: Bringing Out the Best?: Wednesday, Organized by Diane L. Herrmann, University of Chicago, and David J. 8:00 a.m. to 9:55 a.m. Organized by Thomas W. Tucker, Colgate Lutzer, College of William and Mary. Panelists Judith N. Cederberg, University. The MAA and NCTM have established a task force to study St. Olaf College; Andrew Sterrett, Jr., MAA; Stephen A. Doblin, issues surrounding the various mathematical competitions presently University of Southern Mississippi, and the organizers will discuss offered, particularly for grades six through twelve. The panel, made such topics as a successful mathematics placement model for first-year up partly of members of this task force, will address a number of students, nationally available career-advising materials, graduate school matters: the underrepresentation of women and minorities, individual advising, and development of departmental-advising handbooks. versus team competitions, alternative project-oriented competitions like Popularizing Mathematics: Thursday, 2:15 p.m. to 4:10 p.m. the COMAP Modeling Contest, and regional contests. Mathematics has difficulty in attracting positive attention from the public Institutional Approach to Calculus Reform-Getting Everyone and the press. There appears to be increasing activity by mathematicians on Board: Wednesday, 9:05 a.m. to 10:55 a.m. There's more to in various media (TV, newspaper, etc.) and using various situations change at the department level than adopting a textbook or technology. (Math in the Mall, Math Awareness Week, etc.). This panel will focus on Articulating goals and objectives, considering alternative methods to the popularization of mathematics as it aims to change attitudes rather realize them, choosing new or renewed themes, topics and applications, than on its role of teaching mathematics content. Organized by Eric preparing for student responses to assignments that do not conform to R. Muller, Brock University, and Bernard R. Hodgson, Universite expectations, recognizing resource needs and limitations, and paying Laval. The panel will consist of Keith J. Devlin, St. Mary's College attention to other interested groups (client disciplines, the administration, of California; Katherine Heinrich, Simon Fraser University; Lynn A. etc.)-all are part of the planning that will be discussed by participants Steen, MSEB; and Virginia Thompson, University of California at (Mark Bridger, Northeastern University; , University Berkeley. of Michigan; and others) in this presentation chaired by Martin Testing Issues with Technology: Thursday, 2:15 p.m. to 4:10 E. Flashman, Humboldt State University. Sponsored by the CUPM p.m. This panel will be moderated by John Harvey, University of Subcommittee on Calculus Reform and the First Two Years. Wisconsin, Madison. Opening comments by the panel members will be SUMMA Special Presentation: Wednesday,9:05 a.m. to 10:55 a.m. followed by questions, comments, and discussion with the audience. This presentation on intervention projects for minority pre-college stu• Likely questions are: When should calculators be allowed on tests? dents is being organized by William A. Hawkins, director of SUMMA What about testing when students use CAS? What kinds of questions (Strengthening Underrepresented Minority Mathematics Achievement). are no longer reasonable when testing with technology? What are good Presenters include James A. Donaldson, Howard University; Eunice questions when testing with technology? What is the role of pencil L. Krinsky, California State University at Dominquez Hills; and Jack and paper computation in testing today? Panelists are Philip C. Curtis, Y. Narayan, SUNY at Oswego. There will be ample time for questions. UCLA; Linda H. Boyd, DeKalb College; Bert K. Waits, the Ohio Presentations by ILl Awardees: Wednesday, 9:05 a.m. to 10:55 State University; Wade Ellis, West Valley College; and the moderator. a.m. This session provides opportunity for recent awardees in the NSF Sponsored by the Committee on Testing. Instrumentation and Laboratory Improvement-Leadership in Laboratory Reunion for Calculus Reform Workshop Participants: Thursday, Development initiative to describe their projects. Selected projects will 7:00 p.m. to 8:20 p.m. This session is for participants in these workshops be highlighted. Organized by Anita E. Solow, Grinnell College, as but is open to all. Organized by Donald B. Small, U. S. Military part of the NSF-funded MAA project, Priming the Pump for Curricular Academy. Reform. Humanistic Mathematics Network: Thursday, 7:00 p.m. to 8:20 Forum on the Mathematical Preparation of K-6 Teachers: p.m. The Network invites all who want to present a topic appropriate Thursday, 8:00 a.m. to 9:20 a.m. Organized by Susan L. Forman to humanistic mathematics to do so. For convenience of scheduling, and Lynn A. Steen, Mathematical Sciences Education Board (MSEB). it would be helpful to contact the organizer, Alvin M. White, Harvey Panelists will present findings and recommendations contained in a paper Mudd College prepared at the request of the leadership of AMATYC, AMS, MAA, Poetry Reading: Thursday, 8:30 p.m. to 9:30 p.m. All poets and NCTM and SIAM. The paper, available from the MSEB, reflects the other interested persons are invited to come and read their own verse experiences and expertise of mathematicians and mathematics educators on mathematics or work by another author. Advance registration is not and outlines an agenda for action by the societies. The purpose of the necessary, but it would be helpful to know that you plan to read. To session is to gather feedback for the societies on the recommended indicate your interest or to obtain more information, please contact the actions. organizer, JoAnne S. Growney, Bloomsburg University. The Emerging Scholars Programs: Strengthening Freshman Standards for Introductory College Mathematics: Friday, 8:00 Mathematics Courses to Achieve Diversity: Thursday, 9:30 a.m. to a.m. to 9:20 a.m. The final circulating draft of Standards for Introductory 10:55 a.m. Sponsored by the Committee on Mathematical Preparation College Mathematics (released fall 1994) will be discussed. Copies of Minorities and organized by Uri Treisman, University of Texas at of this document-produced by AMATYC with representation from Austin. A panel of presenters will discuss their departments' successful AMS, MAA, NCTM, and the National Association of Developmental efforts to attract an increasingly diverse group of well-prepared men and Education-will be available at the door. Moderated by the project women to the mathematics major and to graduate study in mathematics director, Marilyn E. Mays, North Lake College, a panel consisting and closely related fields. of Donald R. Cohen, SUNY at Cobleskill; Karen T. Sharp, Mott Mathematical Preparation of the Technical Work Force: Thurs• Community College; Stephen B. Rodi, Austin Community College; day, 9:30 a.m. to 10:55 a.m. Three out of four workers do not have James R. C. Leitzel, University of Nebraska-Lincoln; Linda H. Boyd, bachelor's degrees. Yet many of them use mathematics on their jobs. DeKalb College; and Gregory D. Foley, Sam Houston State University, What role can AMS and MAA members play in influencing changes will answer questions and respond to comments. in the mathematics curriculum in response to the growing demand Preparationof Beginning GraduateStudent Teaching Assistants: for technically skilled workers? Panel members will outline issues Friday, 8:00 a.m. to 9:20 a.m. It is not uncommon for departments of ~(?------October 1994 FOCUS

Meetings mathematics to employ beginning graduate students to assist in first• Dossey, Illinois State University; and James R. C. Leitzel, University and second-year undergraduate mathematics courses, in some cases of Nebraska-Lincoln. delegating to the graduate student complete responsibility for teaching Classroom Climate Scenarios: What Would You Do if...?: one of many small sections of the course. This panel, organized by Saturday, 9:30 a.m. to 10:55 a.m. Organized by Deborah Tepper Lee L. Zia, University of New Hampshire, will examine programs that Haimo, University of California, San Diego, with assistance from departments can (and should) conduct to help prepare new graduate Daniel L. GorofT, Harvard University, this session will present three students for this responsibility and to support their efforts. Panelists will or four general and subtle scenarios which might arise to make the include Edward K. Hinson, University of New Hampshire; Deborah classroom situation uncomfortable for some; a panel of six will respond Hughes-Hallett, Harvard University; Daniel J. Madden, University of to questions posed by Goroff and the audience. Arizona; and Patricia D. Shure, University of Michigan. Shaping Up: Expectations for High School Mathematics: Satur• Reform in Engineering Curricula: Friday, 9:30 a.m. to 10:55 a.m. day, 1:00 p.m. to 2:55 p.m. This session, organized by Susan Forman, What's happening in engineering curricula? Delores Etter, professor of MSEB, Donald L. Kreider, Dartmouth College, and Marcia P. Sward, electrical and computer engineering at the University of Colorado at MAA, is sponsored by the Coordinating Board for AMATYC, MAA, Boulder, will talk about the substantial changes under way in engineering and NCTM (CBAMN). Representatives from the CBAMN societies education, with special emphasis on what is being done in the numerous will be joined by representatives from AMS, MSEB, and SIAM to engineering coalitions funded by NSF in recent years. Over eighty present examples of the kinds of mathematical tasks students need to engineering programs in the U.S. are now involved in these coalitions, be able to perform when they exit high school, regardless of whether and each is focusing on reform of some aspect of engineering curricula. they are headed for jobs, technical education programs, or college. Following her talk there will be time for questions and discussion of The problems will present innovative approaches to assessing student how these changes might impact mathematics courses. This special learning of significant mathematics. Discussion will focus on the reasons presentation is sponsored by the CUPM Subcommittee on Service the examples were selected, the implications for college mathematics Courses and is organized by Jane M. Day (chair), San Jose State and the suitability of the assessment strategies. University, and Wade Ellis, West Valley College. Undergraduate Curriculum Reform: Saturday, 1:00 p.m. to 4:30 The Information Superhighway and You: Friday, 1:00 p.m. to p.m. In addition to projects directed toward changes in the teaching and 3:30 p.m. What is the information superhighway? Why should I care? learning of calculus, there are programs addressing change in other areas Experts from the computer, communications, and information database of the undergraduate mathematics curriculum. This session highlights industries as well as academe will address these and related questions some ofthese projects that were recently funded through NSF's program in this panel session. Sponsored by the Committee on Computers in in Undergraduate Course and Curriculum Development. Organized by Mathematics Education and the Committee on Electronic Services. The James R. C. Leitzel, University of Nebraska-Lincoln, as part of the organizers are Arnold M. Ostebee (moderator), St. Olaf College, and NSF-funded MAA project, Priming the Pump for Curricular Reform. Donald J. Albers, MAA; the panelists are Tom Davis, Silicon Graphics; Panel Discussion by Industry Actuaries: How to Help Your R.W. Lucky, Bellcore; and Jay M. Tenenbaum, Enterprise Integration Students Prepare for and Find Jobs: Saturday, 3:00 p.m. to 4:30 Technologies. p.m. Organized for the Actuarial Faculty Forum by James W. Daniel, Open Forum: Discussion of the CTUMICUPM Agenda: Friday, University of Texas at Austin. 1:00 p.m. to 3:30 p.m. Enhancing the undergraduate mathematics pro• gram is currently a focus of discussion in the mathematical community. Other MAA Events Issues of HOW we teach are inextricably bound with issues of WHAT Board of Governors: Tuesday, 8:30 a.m. to 4:00 p.m., open to all we teach. These discussions have implications for the agendas ofMAA's members of the Association. Committee on the Undergraduate Program in Mathematics and the Section Officers: Wednesday, 4:30 p.m. to 6:30 p.m. Committee on the Teaching of Undergraduate Mathematics; this session Two-Year College Reception: The Committee on Two-Year Col• will provide the mathematics community an opportunity to suggest leges is sponsoring an informal reception for two-year college faculty issues and directions for future work. The chair of these committees, and their friends from 5:45 p.m. to 7:00 p.m. on Thursday. James R. C. Leitzel, University of Nebraska-Lincoln, will moderate Business Meeting: Saturday, 11:10 a.m. to 11:40 a.m., open to all the session, and other members of the committees will also be present members of the Association. for reaction and response. Student Activities MAA Teaching Awards Presentations: Friday, 3:20 p,rn. to 5:00 Joint Pi Mu Epsilon and MAA Student Chapters Advisors Conti• p.m. Each winner of the MAA Awards for Distinguished College nental Breakfast: Friday, 7:00 a.m. to 8:00 a.m.; the contact person is or University Teaching of Mathematics will make a presentation on Aparna Higgins, University of Dayton. "the secrets oftheir success". Student Chapters Paper Session: Friday, 8:00 a.m. to 10:55 a.m. This session serves as a forum for the exchange of ideas among advisors Informal Session on Actuarial Education: Friday, 5:05 p.m. to 6:20 to individual chapters and Section coordinators. Each fifteen-minute p.m. Organized for the Actuarial Faculty Forum by James W. Daniel, talk will focus on one or several activities implemented by a campus University of Texas at Austin. Refreshments will be available. chapter or by a section or on activities supported by the Exxon grants. Assessing Calculus Reform EfTorts-A Report to the Commu• Sponsored by the Committee on Student Chapters and organized by nity: Saturday, 8:00 a.m. to 9:00 a.m. With support from the National Karen J. Schroeder, Bentley College. Science Foundation (NSF), the Mathematical Association of America Student Lecture: Newton's (Original) Method--or- Though this (MAA) conducted an assessment of the nationwide calculus reform be method, yet there is madness in't, William Dunham, Muhlenberg effort. The task was to get an indication of the current involvement College, 7:30 p.m. on Friday, sponsored by the Committee on Student of mathematical sciences departments (their faculty and students) in Chapters. The talk will be followed by an ice cream social. efforts to revise courses in calculus. The project did not attempt to Student Workshop on Mathematics and the AIDS Epidemic: assess outcomes of individual projects, but tried to provide a report on This workshop, intended only for students, is scheduled from 1:00 p.m. the movement as a whole. This session reports the findings. A limited to 3:00 p.m. on Saturday and is organized by Sonja I. Sandberg, number of copies of the report will be available. Presenters include Framingham State College. Since the first cases of AIDS in the U.S. Alan C. 'nicker, State University of New York, Stony Brook; John A. were identified in California in 1981, much scientific research has been ------@ FOCUS October 1994

Meetings conducted in order to understand the spread of this infection, to develop Undergraduate research, David C. Carothers, Hope College, Friday successful treatments, and to discover a vaccine for prevention. Many evening and Saturday morning and afternoon. areas of mathematics, including probability, differential equations, and Graph theory, Gary Chartrand, Western Michigan University, and numerical methods, have important roles to play in modeling the AIDS Michael S. Jacobson, University of Louisville; Friday evening and epidemic and predicting its outcome. In this workshop several aspects Saturday morning and afternoon. of quantitative research on AIDS will be explored by considering the Difference equations: Theory and applications, Saber N. Elaydi, following questions: Is it good public health policy to mandate premarital Trinity University, and John R. Graef, Mississippi State University; screening for HIV? How can we project the expected number of future Thursday evening and Friday afternoon. AIDS cases? How can we predict the impact of various interventions, Environmental modeling, Ben A. Fusaro, Salisbury State University, such as changes in behavior or the introduction of an "imperfect" and Suzanne M. Lenhart, University of Tennessee; Saturday morning vaccine? How can we model an individual's risk of acquiring an HIV and afternoon. infection? Discrete geometry, Jacob E. Goodman and Janos Pach, City MAA Student Chapter HospitaiitylInformation Center: The College (CUNY); Thursday evening and Friday afternoon. MAA Committee on Student Chapters is sponsoring a hospital• itylinformation center which will be open from Wednesday morning Geometric function theory in one and several complex variables, until 3:00 p.m. on Saturday during the open hours of the Joint Meetings Ian Graham, University of Toronto, and David Minda, University of Registration Desk. The center will serve as a gathering place for all Cincinnati; Friday afternoon and evening and Saturday morning. students who are attending the Joint Meetings. Multivalued dynamical systems and applications, Shou• chuan Hu and Nikolaos S. Papageorgiuo, Florida Institute of Technol• ogy; Friday afternoon and evening and Saturday morning. IOlst Annual Meeting of the AMS Probability and combinatorics, Jeff Kahn, Rutgers University, and Robin A. Pemantle, University of Wisconsin, Madison; Thursday January 4-7, 1995 morning and evening and Friday morning and afternoon. Theory and applications of nonlinear operators of accretive and Invited Addresses monotone type, A. G. Kartsatos, University of Florida; Saturday Sixty-eighth Josiah Willard Gibbs Lecture: Turbulence, turbulent dif• morning and afternoon. fusion, and modern applied mathematics, Andrew J. Majda, Princeton Noncommutative algebra, Ellen E. Kirkman and James J. Kuz• University, 8:30 p.m. on Wednesday. manovich, Wake Forest University; Friday afternoon and evening and Colloquium Lectures: Lecture I: Mysteries in three and four Saturday morning. dimensions, Lecture II: Mysteries is four dimensions, Lecture III: Numerical solution for integro-differential equations, Yanping Lin. Mysteries in three dimentions; Clifford Taubes, Harvard University, University of Alberta, Thursday evening and Friday afternoon. 1:00 p.m. daily, Wednesday through Friday. Almost multiplicative maps, C* -algebras, and deformations, Terry Jerry L. Bona, Pennsylvania State University, Solitary waves, A. Loring, University of New Mexico; Wednesday afternoon, and tsunamis, and sand bars, Wednesday, 9:00 a.m.; Thursday morning and afternoon. Alexander B. Givental, University of California, Berkeley, Mirror Index theory and elliptic operators on manifolds, John William symmetry: A bridge between singularity theory and symplectic toplogy, Lott, University of Michigan, and Rafe R. Mazzeo, ; Friday, 10:05 a.m.; Friday evening, and Saturday morning and afternoon. Jeff Kahn, Rutgers University, Random matchings, Thursday, 2:15 p.m.; Holomorphic spaces, Benjamin A. Lotto, Vassar College; Thursday John William Lott, University of Michigan, How slow can heat evening and Friday morning and afternoon. flow?, Friday, 9:00 a.m.; Effective approaches to the training ofteaching assistants, Suzanne Leila Schneps, Laboratoire de Mathematiques, Besancon Cedex, M. Lenhart, University of Tennessee, and Daniel Madden, National France, Grothendieck-Teichmuller theory, Thursday, 3:20 p.m.; and Science Foundation; Friday afternoon and evening and Saturday morn• John Smillie, Cornell University, Complex analytic dynamics in two ing. dimensions, Wednesday, 10:05 a.m. Model theory, David E. Marker, University of Illinois at Chicago, and Charles I. Steinhorn, Vassar College; Wednesday morning and Special Sessions and Contributed Papers afternoon and Thursday morning. (See also the AMS-MAA Special Sessions.) Non self adjoint operator algebras, John L. Orr and David R. Cohomology and representations of finite groups, Alex Adem, Pitts, University of Nebraska; Thursday evening and Friday afternoon. University of Wisconsin-Madison, and Jon F. Carlson, University of Extremal Riemann surfaces, Jack Quine, Florida State University, Georgia; Thursday evening and Friday afternoon. and Peter Sarnak, Princeton University; Wednesday morning and Nonlinear elliptic boundary value problems and applications, Wal• afternoon and Thursday morning. ter Allegretto, University of Alberta, Alfonso Castro, University of Homotopy theory, Douglas C. Ravenel, University of Rochester; North Texas, and Ratnasingham Shivaji, Mississippi State University; Saturday morning and afternoon. Friday evening and Saturday morning and afternoon. Stochastic systems and applications, Sivapragasam Sath• History ofmathematics, Thomas Archibald, Acadia University, and ananthan, Tennessee State University; Wednesday afternoon and Thurs• Victor J. Katz, University of District of Columbia, Saturday morning day morning and afternoon. and afternoon. Nonlinear dynamics, Seenith Sivasundaram, Embry Riddle Aero• The simple group classification: Second generation proof and nautical University; Thursday evening and Friday morning and after• applications, Michael Aschbacher, Caltech, and Stephen D. Smith, noon. University of Illinois at Chicago; Wednesday afternoon and Thursday Applied Logic, Curtis Tuckey, AT&T Bell Laboratories; Thursday morning and afternoon. evening and Friday morning and afternoon. Complex dynamics, Eric D. Bedford, Indiana University, and Commutative algebra: Rees algebras and related topics, Bernd John Smillie, Cornell University; Wednesday afternoon and Thursday Ulrich, Michigan State University, and WolmerV.Vasconcelos, Rutgers morning and afternoon. University; Thursday evening and Friday morning and afternoon. {g}------

AMIT EXECUTIVE SUMMARY Contents

A Critical Shortage 3

Characteristics of a Successful Program .4

Holmes' Survey Major Findings 5

Chart 1: Teacher Education Graduates by Area of Specialization and Teaching Fields 5

AMIT Major Recommendations 6

Chart 2: Analysis of Attracting Minorities into Teaching Mathematics 7

Thefirststepfor both minority and majority mathematics depart• Statistics on someminorities suggest several possible reasons for mentsin the process of attracting secondary mathematics teach• the low number of minorities receiving baccalaureate degrees, ers is to enlarge the pool of minority students who successfully especially in mathematics teaching: poverty, lack of school prepa• study mathematics at the undergraduate level. As a second step ration in mathematics, lack of role models, and lack of persis• mathematics departments must effect a change in the climate tence in school maybe critical factors to consider aswe develop andthe attitudes confronted bythose seeking to enterthe teach• programs to reverse trends of underrepresentation. Wemustad• ing profession. vocate stronger school programs in mathematics for all children, especially for minority children. Sylvia Bozeman Spelman College Beverly Anderson University of the District of Columbia Faculty at Clark Atlanta University have designed three programs to attract minorities intosecondary teaching: 1) theSummer Camp Recruiting NewTeachers, Inc. depicts teachers asheroes andpro• Opportunity for Potential Educators which hasenrolled 50 rising vides general information ontheteaching profession through public 10thand 11 th grade students; 2) the Atlanta Center for Teachers service adswhich have garnered over$150 millionin donated TV, which encompasses pre-college, pre-service andin-service teacher radio and print placements nationwide. The second national sur• training programs; and 3) the Statewide Mathematics and Sci• vey of RNT's respondent pool of 285,000 found that RNT has enceEducation Demonstration and Dissemination Center. helped an estimated 40,000 enter the teaching profession, in• cluding morethan 10,000individuals of color. Bettye Clark Clark AtlantaUniversity Jane Sullivan Recruiting New Teachers

The AMIT Executive Summary and the AMIT Project Report are based upon work supported by the Notional Science Foundation under Grant No: DUE-9/5404o. Any opinions, findings, and conclusions or recommendations expressed are those of the author(s) and do not necessarily represent those of the Notional Science Foundation. 11------AMIT EXECUTIVE SUMMARY

A Critical Shortage

In 7990, about 32% of pub• lic school studentswere mi• nority, but only 77% of their mathematicsteachers were. Projections for the year 2000 are that nearly half of school-age children will be minority, but only5% of their teachers will be. But why is istics of undergraduate pro• eight faculty from minority February 1993. The Advisory it important to have a diverse grams successful in attract• and majority institutions and Working Group and a blue teaching force?The simplest ing minorities into teaching representatives of the ribbon panel of experts from rationale is that a diverse secondary mathematics. teacher recruitment organi• the mathematics and educa• teaching force shows all stu• zations, Recruiting New tion communities and the The study began with a sur• dents that minorities can do Teachers, Inc. and Teach For government provided inter• veyof 16 states and 50 col• mathematics and that diver• America, met for two days pretations and recommen• leges of education by Bar• sity is a positive component in Atlanta, Georgia in Octo• dations based on the Atlanta bara Holmes, Chair of the of American society. ber 1992 to discuss the pa• papers and the Holmes' sur• Department of Communica• pers the faculty authored for vey. This is the context in which tion at the Universityof Colo• the study and to review the the National Science Foun• rado at Denver.This extends The MAA Committee on Mi• Holmes' survey. The open• dation funded the Attracting her earlier study, published nority Participation in Math• ing issue-raisingsession was Minorities into Teaching in 1990 by the Education ematics will review the rec• held at Spelman College, Mathematics (AMIT) Project Commission of the States, ommendations of the AMIT with local secondary math• of the Strengthening that examined strategies un• Project and consider related ematics teachers and Atlanta Underrepresented Minority derway to increase the sup• follow-up projects for University Center faculty and Mathematics Achievement plies of minority teachers in SUMMA. The results of the students in attendance. (SUMMA) Program of the five states. study are available from the MAA. The purpose of AMIT A follow-up conference was MAA; use the order form on An advisoryworking group of was to study the character- held in Washington, DC in page 8.

Limited access to hard data re• We must address how the mains a major barrier to plan• Holmes' survey andotherinfor• ninganddesigning substantive mationcan be used to develop andeffective programs for less• effective political and program ening critical shortages of mi• strategies that move from at• nority teachers in many disci• tacking the problemata "retail" plines. However, it iscertain that level - via small scale model the lack of early exposure to programs - to a "wholesale" mathematics courses remains basis, viapolicy frameworks that the most serious impediment address the problem systemati• to attracting and recruiting mi• cally. nority mathematics teachers. Dr. Barbara Holmes Mr. David Haselkorn ------11 AMIT EXECUTIVE SUMMARY

Characteristics of a Successful Program

There are a number of ex• successful in schools where emplary programs: pro• there is strong leadership, grams at the pre-college high expectations for them level; articulation programs to achieve,and when teach• between two- and four-year ers believe that they can colleges; baccalaureate de• and must learn. They have gree programs; and pro• also been extremely suc• grams for retirees and/or ca• cessful in comprehensive reer changers. A number of college programs that usu• them are listed in the full re• ally include special admis• port. These can be described sions programs,adequate fi• generally as nancial aid, sensitive aca• demic and personal coun• 1) aiming for early identifi• seling, pre-freshman sum• cation and recruitment of po• mer programs, tutoring and • pre-collegiate programs tential candidates; remedial instruction (when • comprehensive recruitment strategies 2) providing an infrastructure necessary), and an affirma• of support for students in ex• tive atmosphere. • media outreach isting programs; and The Holmes' survey and the • community outreach 3) featuring innovative cur• papers presented at the • expanded evaluation and data collection riculum and instruction ex• AMIT Conference in Atlanta plicitly designed to promote collectively identified most • loan forgiveness and other benefits the participation of minori• of the promising strategies • professional development ties in mathematics teach• known for expanding Ing. underrepresented groups in teaching: The literature shows that mi• nority students have been

11------AMIT EXECUTIVE SUMMARY

School mathematics mustshift itsfocus fromadualistic curricu• The NaMStandards are based lum (minimum mathematics on two assumptions: (1) a be• for the majority and advanced lief that all children can leam mathematics forafew)to asin• mathematics, and (2) a belief gular focus onasignificant com• that all teachers can teach, mon core of mathematics for when they have the support all students. they need to perform the jobs they have as mathematics ... _-_.~ teachers. Mr. Theodore Kimbrough Dr.Mary M. Lindquist

Holmes' The Purpose of AMIT To studythe characteristics of undergraduate programs successful in attracting Survey minorities into teaching secondary mathematics Major Teacher Education Graduates by Area of Findings Specialization and Teaching Fields 1989 1990 1991 1992 Grads UMJ Grads UM Grads UM Grads UM • Increases of graduates in mathematics are small Early Childhood 1054 159 1468 169 1478 209 1390 218 from 1989 to 1992 but b represent movement in 22 15.1% 25 11.5% 27 14.1% 25 15.7% the right direction. Elementary 3520 658 4191 918 4728 1060 3270 785 • Minority teacher Education 24 18.7% 25 21.9% 29 22.4% 22 24.0% education graduates III 125 continue to be con• Special 630 678 125 752 314 77 Education 19 17.6% 19 18.4% 22 16.6% 19 24.5% centrated in early childhood, elementary, SECONDARY EDUCATION and special education. Mathematics 271 48 286 56 358 70 242 42 • The evidence is strong 23 17.7% 21 19.6% 27 19.6% 23 17.4% that states "grow their own teachers:' Biology, Chemistry, 266 42 260 50 322 63 182 36 Physics 20 15.8% 19 19.2% 25 19.6% 19 19.8% • Results of this study indicate that state superintendents and Social Studies, 289 53 340 69 463 78 285 72 deans of education History 20 18.3% 20 20.3% 26 16.8% 21 25.3% tend to believe that Humanities, 357 89 425 92 625 126 374 88 loan forgiveness is the English, 21 24.9% 22 21.6% 26 20.2% 21 23.5% most effective strategy Foreign Language for attracting and recruiting minority Other 771 183 720 145 640 146 295 120 mathematics teachers. 15 23.7% 14 20.1% 15 22.8% 11 40.7%

a Underrepresented minorities as a number and a percent ofgraduates. b Number ofinstitutions providing useable responses. Source: Holmes' Survey ------11 AMIT EXECUTIVE SUMMARY AMIT Major Recommendations

Government education, induction, training, dards and high expectations diverse student population and must be regularly made • The government needs to and professional develop• must be established for ell aware of new technology in develop and/or encourage ment - must be addressed students by all teachers. more systemically at the fed• education. programs that support stu• • Professional mathematics eral, state, and local levels. dents below the top ten per• organizations like the MAA • There must be ongoing cent in ability, since many of Educators should develop ways to edu• and comprehensive in-ser• the programs now in exist• cate their members about vice development training • Mathematics and educa• ence are geared for high the importance of es• for teachers,including math• tion professional associa• ability students. tablishing partnerships with ematics and science special• tions should develop a business and industry, and ists in elementary schools. • Education programs now "white paper" for govern• develop linkages with the funded by the federal gov• ment officials at all levels on • Pre-college programs are Statewide Systemic Initia• ernment should also be di• the issue of minority teacher needed to help instill in mi• tives or State Coalitions, and rected towards capacity recruitment and sponsor a nority students that teaching subsequently engage the building for minorities in national policy conference mathematics and science is school systems in these part• teaching, as well as toward on academic excellence for an honorable profession. nership commitments. the overall development of all students. • School systems should re• culturally responsive math• • The university level train• • Mathematics and educa• cruit unemployed minority ematics teachers. ing of teachers must be im• tion professional associa• business professionals and proved: teachers should • Issues regarding teacher tions should work to elimi• illl train them to be teachers be well-trained to teach a development - recruitment, nate K-12 tracking;high stan- and administrators.

The Mathematics Department of Oklahoma State University, in In addition to the Eisenhower conjunction with the Departmentof Curriculum and Instruction, Program ... , the NSF Statewide is the only institution of 15 respondents that recruits American Systemic Initiative, the Depart• Indian students into the teaching of mathematics. A number of ment of Education funded enhancement programs for pre-college students employ Ameri• Clearinghouse on Mathematics can Indian teachers and organize the classroom to accommo• and Science at Ohio State Uni• date the cultural learning styles of American Indian students. versity, andthe regional consor• Claudette Bradley tiafor mathematics andscience University ofAlaska Fairbanks areadditional resources that all persons andorganizations inter• ested in minority achievement Much can be done to improve the success of current efforts to in mathematics andmathemat• attract, retain and prepare competent minority teachers if we at• ics teaching must have avail- tend to excellence in the sense of the quality of the programs Mr. Daniel F. Bonner able... themselves as conceived, designed and implemented.Solutions to the problem of the shortage of minority mathematics teachers should not be cast simply as increasing the participation of mi• noritystudents andensuring their success in mathematics teacher education programs as presently constituted. To have a culturally responsive Alba Gonzalez Thompson teaching force, people from all San Diego State University ethnicgroupsmust be involved in the effort and must have as one of their missions, the task During 1989-92, we prepared 524 teachers, but only 8 in math• of informingthe majoritypopu• ematics of whom 5 were African American. Sixteen other HBCUs lation about how best to deal responded to a fall 1992 survey on minority prospective teach• with children of color. ers, and togetherwe were preparing 80 juniors, 65 seniors, and 38 at the master's level. The Dozoretz National Institute for Mi• norities in Applied Sciences is a possible model which features nationally competitive full scholarships, summersessions, research, internships, career counseling, and seminars. Dr. Mary Dilworth Elaine Witty Norfolk State University 11------AMIT EXECUTIVE SUMMARY

Analysis of Attracting Minorities into Teaching Mathematics by State Superintendents and Deans of Education Business with an opportunity to work Most Serious Impediments • Business should sponsor and learn. internships, seminars, labo• Lack of exposure to mathematics courses ratories, summer camps, The Public Secondary school preparation and professional institutes • The media should portray Performance on tests more positive images of for teachers. Limited information on teaching mathematics and mathemat• • Business round tables ics teachers to the public. Most Difficult Stages should be establishedat the local level in order to ex• • Programs should be estab• Attraction to teaching change ideas and to brain• lished to help minority par• Recruitment to teacher education storm about the issues and ents develop confidence Retention in teachereducation problems affecting the edu• about teaching as a profes• Persistence in profession sion for their children. cation system. Continuing professional development • Business should establish • A mandatory "Educational Most Effective Strategies mentoring programs for Duty" week - on the order teachers and minority youth of jury duty - should be es• Loan forgiveness programs with minority business pro• tablished to require parents, Alternative certification programs fessionals, and sponsorsum• as well as other citizens, to Reciprocity programs with other states for initial certification mer jobs programs to pro• visit schools to observe first• Exchange programs vide disadvantaged youth hand what goes on. Source: Holmes' Survey

Comprehensive Activities for the Development of Educators in Training isa consortium of the Ana G. Mendez University System and nine u.s. universities to provide a pre-college enrichment Data grounded in ethnographic program for30 rising 11 th and 12th graders to increase the num• studies [thestories of minority ber entering teaching and improve theirfuture performance. Af• mathematics teachers orminor• ter their first ten weeks, they will teach mathematics, science, ities who were mathematics and English to 75 students from nearby elementary schools. teachers] provides a richness of detail, suggesting a broader set Teresa Lipsett-Ruiz of contextual and institutional University of Turabo (PR) constraints or motivators than numbers oftenfumish. Completely funded by private contributions since it was devel• oped in 1989, Teach For America has become a national teacher corps for college graduates in allfields requiring a two-year com• mitmentin urban and rural public schools. The "lobDescription" stresses that minorities and bilingual persons are in demand as are mathematics, science, and foreign language teachers, and TFA recruits have been 27% minority to date. Lori Donoho Teach For America Universities should establish programs to actively seek, facili• tate, support, enhance, andac• The majority of minority students start attwo-year colleges and a commodate community college large percentage of African Americans graduate from historically students - minority students, in Black colleges and universities. One Florida college has articu• particular - to come to their lation agreements with five HBCUs to provide scholarships for institutions. two years on itscampus before transfer to theirs. Another, Miami Dade, reports theonlyactive effortto attract minorities intoteach• ing through linkages with feeder high schools, informing unde• clared majors about the teaching profession, and making stu• dents aware of scholarships for minority education majors. Marilyn Mays North Lake College (TX) ------11 AMIT EXECUTIVE SUMMARY The contents of the entire AMIT Report, from which this Executive Summary is extracted, are reproduced below. I. Introduction II. Major Findings and Recommendations V. Blue Ribbon Panel Presentations III. Holmes' Survey: Holmes, Barbara J. "Availability A. General Education Issues Mr. David Haselkorn, President, Recruiting New Teachers, Inc. and Preparation of Minority Mathematics Teachers: Dr. Shirley McBay, President, Quality Education for Minorities A Status Report' Network. IV. Advisory Working Group Invited Papers and Dr. Vinetta Jones, Director, Equity 2000, The College Board. Conference Presentations Anderson, Beverly J. "What Has Been Doneto Recruit Minorities B. K-12 Issues into Teaching Mathematics:' Mr. Theodore Kimbrough, past President, National Association Bozeman, Sylvia T. 'The Role of Mathematics Departments in of Black School Educators; former Superintendent, Chicago Minorityand Majority Institutions in Recruiting Minority Teach• Public Schools. ers:' Dr. Mary M. Lindquist, pastPresident, National Council of Teach• Bradley, Claudette E. "Activities at the Pre-College Level Among ers of Mathematics. American Indians and Alaskan Natives to Attract Minorities Mr. Daniel F. Bonner, Director, School Effectiveness Division, into the Teaching of Mathematics:' US Department of Education. Clark, Bettye M. "Programs at Clark Atlanta University to Attract Minorities into Teaching:' C. College-Level Issues Lipsett-Ruiz, Teresa. "Issues Related to Attracting Minorities into Dr. Mary Dilworth, Senior Director of Research, American Asso• Teaching Mathematics through a Consortium of Universities:' ciation of Colleges of Teacher Education. Mays, Marilyn E. ''What Have Two-Year Colleges Done to Recruit Dr. C. Jean Moon, Director, Center for Mathematics, Science, Minorities into Mathematics Teaching?" and Technology in Education, Lesley College. Thompson, Alba Gonzalez. "Excellence in the Preparation of Mi• Dr. David Pierce, President, American Association of Commu- nority Mathematics Teachers:' nity Colleges. Witty, Elaine E. "Attracting Minorities into Mathematical Teach• VI. Bibliography ing:' Donoho, Lori. Teach For America. VII. Listing of Exemplary Programs Sullivan, Jane. Recruiting New Teachers, Inc. VIII. List of Project Participants

Acknowledgements: The AMITProject would not have been pos• ics, science, and engineering, and to improve the mathematics sible without the assistance of Dr. Genevieve Knight, AMIT Con• education of minorities. SUMMA seeks to involve the collegiate sultant; Ms. Carole Mumin, AMIT Project Assistant; Ms. Aldine mathematics community in making fundamental changes in atti• Guthrie, Secretarial Support;Ms. Cheryl Dowdy, Editorial Aide;and tude and practice, particularly in regard to minority students. Dr. Florence Fasanelli of the MathematicalAssociation of America, who developedthe originalproposal. For more information about SUMMA, contact: The SUMMA Program, The Mathematical Association of America, THE SUMMA PROGRAM 1529 Eighteenth Street, NW, Washington, DC 20036, Phone: The goals of the Strengthening Underrepresented Minority Math• (202)387-5200; fax: (202)265-2384; e-mail: [email protected] ematics Achievement (SUMMA) Program of the MAA are to in• crease the representation of minorities in the fields of mathemat- Designby Amy Stephenson r------i To order additional copies of this Executive Summary, or I the complete AMIT Report, including the Executive Name I I Summary, send this order form to: I I The MAA, 1529 Eighteenth Street, NW Address I I Washington, DC 20036 I I 1-800-331-1622 FAX (202) 265-2384 City State Zip Code I I ALL ORDERS MUST BE PRE-PAID Payment 0 Check 0 VISA 0 MASTERCARD I I Card Number I I Quantity Catalog Number Price/each Total I I AMIT-EXE $4.00 Signature Expiration Date I I AMIT-RPT $15.00 Foreign Orders Please add $3.00 per item ordered to cover postage and I I handling fees. The order will be sent via surface mail. If you want your order I L ~~~~~~ ~e:'by air::e~l be happ.:o.:nd yo: ~f:,,~~c~l~u~rder..J 11------October 1994 FOCUS

Meetings

Commutative Noetherian rings and modules, Roger A. Wiegand All reviewers are encouraged to come to the reception, and others who and Sylvia M. Wiegand, University of Nebraska; Wednesday morning are interested in MR are also invited. Members of the MR Editorial and afternoon and Thursday morning. Committee and the MR staff will make some brief comments, and there will be an opportunity for reviewers to ask questions and make Contributed Papers: There will be sessions for contributed papers comments and suggestions. Refreshments will be provided. of ten minutes' duration. Contributed papers will be grouped by related Council Meeting: Saturday, 9:00 a.m. to 6:00 p.m. Mathematical Reviews subject classifications into sessions, insofar as Business Meeting: Saturday, 11:45 a.m. to 12:15 p.m. possible. The title of each paper accepted and the time of presentation will be listed in the program of the meeting. Unfortunately, all deadlines for submitting papers for AMS sessions have expired. AMS Short Course on This two-day Short Course will be held on Monday and Tuesday, Other AMS Sessions January 2 and 3, 1995. The program is under the direction of A. Robert Applications of Internet Technologies for Mathematics: Wednesday, Calderbank, AT&T . 9:00 a.m. to 10:00 a.m. AMS staff will present an overview of current Developments in coding theory have always been stimulated by Internet technologies, targeting how these technologies can be applied three types of problems; those arising in number theory, in geometry, to disseminate mathematical information over the Internet. Staff will and in the physical world. The lectures will illustrate these three forces describe Internet access tools such as ftp/telnet, gopher, World Wide at work. Web, etc., and discuss how to obtain, install, and utilize such tools. Tentative schedule: A question-and-answer period will follow. Organized by Ralph E. Monday, January 2, 1995 Youngen and Wendy Bucci, AMS. A. , Introduction to coding theory. Mathematics in Industry: Wednesday, 4:30 p.m. to 5:30 p.m. Paul H. Siegel, IBM Almaden Research Center, Modulation codes for Sponsored by the Committee on the Profession. Paul Davis, Worcester digital data storage. Polytechnic Institute, will give this presentation regarding SIAM's Brian Marcus, IBM Almaden Research Center, Dynamics and connec• project of the same name. Questions from the audience will be solicited. tions to coding theory, automata theory, and system theory. Access and Archiving in the Electronic Age: Friday, 9:00 a.m. to 10:30 p.m. This panel discussion sponsored by the AMS Library Tuesday, January 3, 1995 Committee will include Richard A. Askey, University of Wisconsin; Joan Feigenbaum, AT&T Bell laboratories, The use of codes in Donald G. Babbitt, Publisher, AMS; Carol Hutchins, Library Director, complexity theory. New YorkUniversity-Courant Institute; and Herbert S. Wilf, University William M. Kantor, University of Oregon, Quadratic forms and finite of Pennsylvania. geometries. Computational Chemistry: Friday, 9:25 a.m. to 10:55 a.m. De Witt Henning Stichtenoth, University of Essen, Algebraic geometric codes. L. Sumners, Florida State University, will give a general overview of N. J. A. Sloane, AT&TBell Laboratories, Codes (spherical) and designs the National Research Council Committee on Mathematical Challenges (experimental). from Computational Chemistry (Frank H. Stillinger, Bell Labs, chair) program on opportunities for collaborative and synergistic research in the mathematical sciences that can accelerate progress in theoretical and computational chemistry and their applications. The overview will AMS Short Course on Knots and Physics be followed by presentations from Peter A. Kollman, Department This two-day Short Course will be held on Monday and Tuesday, of Pharmaceutical Chemistry, University of California, San Francisco, January 2 and 3, 1995. The program is under the direction of Louis H. and William A. Lester, Jn, Department of Chemistry, University of Kauffman, University of Illinois at Chicago. California, Berkeley, scientists who are committee members, who will Since the discovery of new knot invariants (starting with the Jones speak on mathematics research opportunities in their own research areas. polynomial in 1984) there has been a remarkable interplay between these There will be an open round-table discussion after the talks for fielding invariants and the ideas and methods of theoretical physics. Knot theory questions from the audience. and low dimensional have become a new testing ground for Committee on Science Policy Panel Discussion: Friday, 3:15 p.m. techniques in mathematical physics and physical ideas have informed to 4:45 p.m. topology in surprising ways. e-MATH Overview: Friday, 3:30 p.m. to 4:30 p.m. AMS staff It is the purpose of this short course to provide a set of lectures members will present an overview of e-MATH, the Society's Internet on aspects of this interaction of knots, physics and low dimensional delivery system for mathematical information. Staff will discuss the topology. An important feature of the course will be an emphasis on history of e-MATH, how to access it, current services, and future elementary combinatorial ideas. developments. Organized by Ralph E. Youngen and Wendy A. Bucci, Tentative schedule: AMS. Monday, January 2, 1995 Committee on Science Policy Government Speaker: Friday, 5:00 Louis H. Kauffman, University of Illinois at Chicago, Knots and p.m. to 5:50 p.m. statistical mechanics. Looking for a Job in Industry: Friday, 7:00 p.m. to 8:20 p.m. Ruth J. Lawrence, University of Michigan, Topological quantum field Sponsored by the Committee on the Profession. Stanley J. Benkoski, theories. Wagner Associates, will give this presentation, with ample time for Dror Bar-Natan, Harvard University, Vassi/iev and quantum invariants audience participation. ofBraids. Can We Evaluate Teaching or Research in the Mathematical Tuesday, January 3, 1995 Sciences?: Saturday, 8:30 a.m. to 10:00 a.m. Panel discussion sponsored Nicolai Reshetikhin, University of California, Berkeley, Quantization by the Committee on Education. and invariants of/ins and 3-manifolds. Lee Smolin, Pennsylvania State University, Spin networks in nonper• turbative quantum gravity. Other AMS Events Sam Lomonaco, University of Maryland, Baltimore, The modern Mathematical Reviews (MR) Reception: Friday, 5:15 p.m. to 6:15 p.m. legacies ofThomson's atomic vortex theory in classical electrodynamics. ------@ FOCUS October 1994

Meetings

Activities of Other Organizations Forum on Mathematics Awareness Week: Friday, 9:45 a.m. to 10:45 a.m. All participants are invited to share their MAW activities, ideas, problems, etc., so that IPBM may evaluate the program and Association for Symbolic Logic (ASL) learn how to be more responsive to member needs in future planning. All sessions will take place on Friday and Saturday in the Holiday Inn Organizers are Richard H. Herman and Kathleen Holmay, IPBM. Goldengate. Public Policy Address: Thursday, II: 10 a.m. Invited Speakers: (days and times to be announced) Public Information Session: Wednesday, 2: 15 p.m. to 3:15 p.m. Tomek Bartoszynski, Boise State University, Title to be announced; Mathematicians and representatives from the media will discuss what Valentina S. Harizanov, George Washington University, Recursive they wish the public knew about mathematics, what the public may know model theory: Examining computability in the theory oftheories; about mathematics and how they learn it, how to improve the dialogue Alexander S. Kechris, California Institute of Technology, Title to between mathematicians and the general public, and how to encourage be announced; mathematicians with interesting stories to go public with them in various StetTen Lempp, University of Wisconsin, Madison, Title to be ways. Organizers are Richard H. Herman and Kathleen Holmay, announced; IPBM. Alexandra V. Shlapentokh, East Carolina University, Algebraic and Turing separability ofrings; and Theodore A. Siaman, University of Chicago, Title to be announced. National Association ofMathematicians (NAM) Contributed Papers: Abstracts of contributed papers from ASL Board of Directors Meeting: Thursday, noon to 4: 15 p.m. members should be sent by the deadline of October 21, 1994, Presentations by Recent Doctoral Recipients: Friday, 2: 15 p.m. to to the program chair, Andreas Blass, Department of Mathematics, 4:00 p.m.; moderated by Stella Ashford, Southern University. University of Michigan, Ann Arbor, Michigan 48109; e-mail: An• Cox-Talbot Address: Friday, 7:30 p.m. after the banquet. dreas.Blass~ath.lsa.umich.edu. Panel Discussion: Saturday, 9:00 a.m. to 10:00 a.m. Saturday. NAM's first quarter ofa century: The past, the present. and the future. moderated by Mary Hawkins, Prairie View University, with panelists Association for Women in Mathematics (AWM) John W. Alexander, Jr., University of the District of Columbia; Lee Sixteenth Annual Emmy Noether Lecture: Judith D. Sally, North• Lorch, York University; Rogers J. Newman, Southern University; and western University, 9:00 a.m. on Thursday. (A dinner in her honor is Janis M. Oldham, North Carolina A&T State University. described in the Social Events section of this annoucement.) Business Meeting: Saturday, 10:00 a.m. to 10:55 a.m. Panel Discussion: Wednesday, 3:20 p.m. William W. S. Claytor Lecture: Saturday, I:00 p.m. Business Meeting: Wednesday, 4:20 p.m. See the Social Events section for details about the banquet. Open Reception: Wednesday, 9:30 p.m. See the Social Events section for details. Workshop: Saturday, 9:00 a.m. to 5:00 p.m. With funding from the National Science Foundation (NSF) National Science Foundation and the Office of Naval Research AWM Invited Address: Wednesday, 5:05 p.m. to 5:55 p.m. will conduct its workshop for women graduate students and women who have received the Ph.D. within the last five years. There will be funding for travel and subsistence for up to ten women The NSF will also be represented at a booth in the exhibit area. graduate students and ten women beyond the Ph.D. to participate in the NSF staff members will be available to provide counsel and information workshop. Participants will have the opportunity to present and discuss on NSF programs of interest to mathematicians. The booth is open the their research and to meet with other women mathematicians at all stages same days and hours as the exhibits. Times that staff will be available of their careers. The workshop will also include a panel discussion on will be posted at the booth. issues of career development and a luncheon. All mathematicians (female and male) are invited to attend the entire program even though only twenty women will be funded. Departments are urged to help Rocky Mountain Mathematics Consortium (RMMC) graduate students and postdocs obtain some institutional support to Board of Directors Meeting: Friday, 2:15 p.m. to 4: 10 p.m. attend the workshop and the meetings. To be eligible for funding, graduate students must have begun work on a thesis problem. All non-U.S. citizens must have a current Young Mathematicians Network (YMN) U.S. address. Each application should include a curriculum vitae and Concerns of Young Mathematicians: A Town Meeting: Saturday, 1:00 a concise description of research; a graduate student applicant should p.m. to 2:00 p.m. Representatives from YMN will discuss the problems include a letter of recommendation from her thesis advisor. in the job market with input from all segments of the mathematics All applications must be received by October 15, 1994. Please community. send five copies of the application materials to: Workshop Selection Committee, Association for Women in Mathematics, 4114 Computer and Space Sciences Building, University of Maryland, College Park, Other Events of Interest MD 20742-2461. Inquiries may be made by telephone: 301-405-7892 AMS Information Booth: All meeting participants are invited to visit or e-mail: aWDl~ath. umd. edu. the AMS Information Booth during the meetings. Complimentary coffee and tea will be served. A special gift will be available for participants, compliments of the AMS. The membership manager of the Society will Joint Policy Board for Mathematics (JPBM) be at the booth to answer questions about membership in the Society. Committee on Professional Recognition and Rewards Discussion: Book Sales and Exhibits: All participants are encouraged to visit Wednesday, 9:00 a.m. to 10:30 a.m. Discussion of follow-up activities the book, educational media, and software exhibits from I:00 p.m. to resulting from the report, "Recognition and Rewards in the Mathematical 5:00 p.m. on Wednesday, 9:00 a.m. to 5:00 p.m. on Thursday and Friday, Sciences", including its impact on graduate education. Panelists may and 9:00 a.m. to noon on Saturday. Books published by the AMS and include Ronald G. Douglas, SUNY at Stony Brook; Richard H. MAA will be sold at discounted prices somewhat below the cost for the Herman, IPBM; and Calvin C. Moore, University of California at same books purchased by mail. These discounts will be available only Berkeley. to registered participants wearing the official meetings badge. VISA @------October 1994 FOCUS

Meetings

and MasterCard will be accepted for book sale purchases at the meeting. Registering in Advance Also, AMS electronic products and e-MATH will be demonstrated. and Hotel Accommodations Participants visiting the exhibits will be asked to display their meeting badge or acknowledgment ofadvance registration from the Mathematics Meetings Service Bureau in order to enter the exhibit area. How to Register in Advance The importance of advance registration cannot be overemphasized. Mathematical Sciences Employment Register: Those wishing to Advance registration fees are considerably lower than the fees that will participate in the San Francisco Employment Register should read be charged for registration at the meeting. Participants who register carefully the important article about the Register which follows this by November 9 may elect to receive their programs, badges, and any meeting announcement. tickets for social events through the mail before the meeting.

Social Events Joint Mathematics Meetings Itis strongly recommended that tickets for these events be purchased Member of AMS, ASL Canadian through advance registration since only a very limited number of Mathematical Society, MAA $130 tickets, if any, will be available for sale on site. To get a 50% refund, Temporarily Employed 95 returned tickets must be received by the Mathematics Meetings Service Emeritus Member of AMS, MAA; Bureau by December 23. After that date no refunds can be made. Graduate Students; Unemployed; Special meals are available at all banquets upon advance request, but Librarians; High School Teachers this must be indicated on the Advance RegistrationIHousing Form. Third-world Country Participant 35 Museum Tour: On Wednesday afternoon there will be a tour of the Undergraduate Students 20 M. H. DeYoung Museum and the Asian Art Museum of San Francisco. Nonmember 202 Both museums are located in the heart of Golden Gate Park. The High School Students 2 DeYoung Museum is noted for its stellar collection of American art. Employment Register Works spanning 6,000 years from more than three dozen countries Employer $150 comprise the collection of the Asian Art Museum, one of the finest Additional Interviewer (each) 75 outside of Asia. Special tours will be conducted of both collections with Applicant 35 time for individual browsing or visiting the gift shops. The tour leaves Employer Posting Fee 50 from the Hilton main lobby at 12:30 p.m. and returns no later than 5:00 p.m. Should this tour not reach a minimum of 30, it will be canceled AMS Short Course and full refunds issued. The cost is $26, including transportation and all StudentslUnemployed $ 30 admissions. Emeritus Members of AMS, MAA 30 AWM: There is an open reception on Wednesday evening at 9:30 All Other Participants 75 p.m. This has been a popular, well-attended event in the past. MAA Minicourses All participants are invited to a dinner to honor AWM's Noether Minicourse #22 $ 20 Lecturer, Judith D. Sally, on Wednesday. A sign-up sheet for those Minicourses #1, 2, 3, 4, 5, 7, 8,11, 13 interested will be located at the AWM table in the exhibit area and also 14,15,16,17,19,20,21 45 at the AWM panel discussion. Minicourses #6, 9, 10, 12, 18 65 MER Banquet: The Mathematicians and Education Reform (MER) Network welcomes all mathematicians who are interested in issues in • Full-time Students: Those currently working toward a degree or precollege and undergraduate mathematics education to attend the MER diploma. Students are asked to determine whether their status can Banquet on Wednesday at 6:30 p.m. This is an opportunity to make or be described as graduate (working toward a degree beyond the renew ties with other mathematicians who are involved in educational bachelor's), undergraduate (working toward a bachelor's degree), or projects. There will be a presentation highlighting the current activities high school (working toward a high school diploma) and mark the and future plans of the MER Network. There will be a cash bar beginning Advance RegistrationIHousing Form. at 6:30 p.m. Dinner will be served at 7:30 p.m.; the entree is chicken • Emeritus: Persons who qualify for emeritus membership in either breast baked with garlic and herbs. Tickets are $45 each, including tax the Society or the Association. The emeritus status refers to any and gratuity. person who has been a member of the AMS or MAA for twenty NAM Banquet: The National Association of Mathematicians will years or more and is retired because of age or long-term disability host a banquet on Friday evening. A cash bar reception will be held at from his or her latest position. 5:30 p.m., and dinner will be served at 6:00 p.m. The entree is sauteed • Librarian: Any librarian who is not a professional mathematician. chicken breast. Tickets are $40 each, including tax and gratuity. • Unemployed: Any person currently unemployed, actively seeking AMS Banquet: As a fitting culmination to the meeting this banquet employment, and not a student. It is not intended to include any provides an excellent opportunity to socialize with fellow participants person who has voluntarily resigned or retired from his or her latest in a relaxed atmosphere. The attendee(s) who has(have) been a member position. of the Society for the greatest number of years will be recognized and • Third-world Country Participant: Those from the third world will receive a special award. The banquet will be held on Saturday with where salary levels are radically noncommensurate with those in the a cash bar reception at 6:30 p.m. and dinner at 7:30 p.m. Special door U.S. prizes will be travel gift certificates ranging in value from $100 to $250. • Temporarily Employed: Any person currently employed but who Each attendee will receive a memento of the occasion. The entree is will become unemployed by June 1, 1995, and who is actively breast of sliced roast turkey with herb dressing. Tickets are $40 each, seeking employment. including tax and gratuity. Note: Those registering at the nonmember rate will receive mailings from AMS and MAA after the meeting is over containing information about a special membership offer. Advance registration and on-site registration fees only partially cover expenses of holding meetings. All mathematicians who wish to attend sessions are expected to register and should be prepared to show ------@ FOCUS October 1994

Meetings their badge if so requested. Badges are required to enter the exhibit or by telnetting to e-math (login and password are both e-MATH) area, to obtain discounts at the AMS and MAA Book Sales, and to and selecting Gopher from the main menu. Then select Mathematical cash a check with the Joint Meetings cashier. If a registrant should Sciences Meetings and Conferences from the gopher menu; select arrive too late in the day to pick up hislher badge, he/she may show the Registration Forms from the meeting menu and follow the instructions. acknowledgment of advance registration received from the MMSB as Or, you may send a message to meet~ath. ams.org requesting the proof of registration. form. A reply will be sent within 24 hours with the electronic form and Registration forms received well before the deadline of November instructions on how to complete it. Credit card is the ONLY method 16 which are not accompanied by correct payment will be returned to of payment which can be accepted for electronic registration. Forms the participant with a request for resubmission with full payment. This received through this method will be treated in the same manner as will, of course, delay the processing of any housing request. If time forms received through U.S. mail, and the same deadlines apply. Receipt will not allow return of the form, a $5 charge will be imposed for all ofthe form and payment will be acknowledged by the MMSB. invoices prepared when advance registration forms are submitted with All advance registrants will receive acknowledgment of payment insufficient payment. We are sorry, but it is not possible for the MMSB prior to the meetings. to refund amounts less than $2. Those registered by November9 will receive their badges, programs, Participants should check with their tax preparers for applicable and prepurchased tickets by mail two to three weeks before the meetings, deductions for education expenses as they pertain to this meeting. unless they check the appropriate box to the contrary on the Advance There is no extra charge for members of the families of registered RegistrationIHousing Form. Because of delays that occur in U.S. mail participants, except that all professional mathematicians who wish to to Canada, it is strongly suggested that advance registrants from Canada attend sessions must register independently. Please indicate names for choose to pick up their materials at the meeting. There will be a special guest badges on the Advance RegistrationIHousing Form located in the Registration Assistance desk at the Joint Meetings to assist individuals back of this issue. who either do not receive this mailing or who have a problem with their There will be a list of advance registrants sorted by area registration. Please note that a $3 replacement fee will be charged for of mathematical interest posted at the meetings. If you wish to programs and badges that are mailed but not taken to San Francisco. be included in this list, please provide the Mathematical Reviews classification number of your major area of interest on the Advance RegistrationIHousing Form. (A list of these numbers appears on the back of the AMS and MAA abstract forms.) Miscellaneous Information Audio-Visual Equipment: Standard equipment in all session rooms is one overhead projector and screen. (Invited 50-minute speakers are Advance Registration Deadlines automatically provided with two overhead projectors.) Blackboards are There are three separate advance registration deadlines, each with its not available. Participants who require audio-visual assistance should own advantages and benefits. come to the Registration Desk. EARLY advance registration MAA speakers requiring additional equipment may make written re• (room lottery and materials mailed) November 9 quests for one additional overhead projector/screen, 35mm carousel slide ORDINARY advance registration projector, or VHS video cassette recorder with one color monitor. Such (housing but no room lottery, requests should be addressed to the MAA associate secretary (Donovan no materials mailed) November 16 VanOsdol, Department of Mathematics, University of New Hampshire, FINAL advance registration Durham, NH 03824; e-mail: don. vanosdoLemat.h .unh . edu). These (no housing, tickets, or inclusion requests should be received by November 9. All other speakers requir• in the Winter Lists for the ing additional equipment should contact the audio-visual coordinator Employment Register) December 7 for the meetings at the AMS office in Providence at 401-455-4140, or Early Advance Registration: Those who register by the EARLY bye-mail at wsd~ath. ams. org by November 9. deadline of November 9 will be included in a drawing to select Speakers are cautioned that requests for equipment made at the randomly winners of complimentary hotel rooms in San Francisco. meeting may not be satisfied because of budgetary restrictions. Multiple occupancy is permissible. The location of rooms to be used Child Care: Many hotels have a list of bonded child care services. in this lottery will be based on the number of complimentary rooms Participants should inquire at their hotel and are responsible for making available in the various hotels. Therefore, the free room may not individual arrangements. necessarily be in the winner's first choice hotel. The winners will be A Parent/Child Lounge will be located in the Hilton. This room will notified by mail prior to December 31. So register early! (See the list be furnished with casual furniture, a crib, a changing area, and a VCR of the winners in Cincinnati in the hotel pages.) and monitor for viewing videotapes. Tapes appropriate for children can Ordinary Advance Registration: Those who register after Novem• be checked out at the Audio-Visual section of the Registration Desk. ber 9 and by the ORDINARY deadline of November 16 may use the Any child using this lounge must be accompanied by a parent (not housing services offered by the MMSB but are not eligible for the simply an adult) who must be responsible for supervision of the child. room lottery, nor may they elect to have badges and programs mailed in This lounge will be unattended, and parents assume all responsibility advance. for their children. This lounge will be open only during the hours Final Advance Registration: Those who register after November of registration, and all persons must leave the lounge at the close of 9 and by the FINAL deadline of December 7 must pick up their registration each day. badges, programs, and any tickets for social events at the meetings. Information Distribution: Tables are set up in the exhibit area for Unfortunately, it is not possible to provide FINAL advance registrants dissemination of general information of possible interest to the members with housing, nor will applicant or employer forms be reproduced in and for the dissemination of information of a mathematical nature not the Winter Lists for the Employment Register. Please note that the promoting a product or program for sale. December 7 deadline is firm and any forms received after that date If a person or group wishes to display information of a mathematical will be returned and full refunds issued. nature promoting a product or program for sale, they may do so in the Electronic Advance Registration: A form and instructions on how exhibit area at the Joint Books, Journals, and Promotional Materials to complete it are on the e-MATH Gopher. They may be accessed exhibit for a fee of $35 per item. Please contact the Exhibits Manager, either by gopher e-math. ams. org if your system has a gopher client MMSB, P.O. Box 6887, Providence, RI 02940, for further details. @------October 1994 FOCUS

FOCUS Editor

Petition Table: At the request of the AMS Committee on Human Remains Busy Rights of Mathematicians, a table will be made available in the exhibit area at which petitions on behalf of named individual mathematicians Keith Devlin, EditorofFOCUS and Dean suffering from human rights violations may be displayed and signed by of the School of Science at Saint Mary's meetings participants acting in their individual capacities. For details College in California, also seems to find contact the director of meetings in the Providence office at 401-455-4137 time to write a book now and then. In or bye-mail at hhd

The AMS-MAAJoint Meetings Committee always endeavors to obtain the lowest possible sleeping ~liI~::::JD room rates for participants at annual meetings. The committee is also responsible for maintaining a tl \jU1U [ sound fiscal position for these meetings. As the meetings have grown in scope, the committee has arranged for all of the hotels to collect an extra $3 per room per night from participants, which will be used to offset the general meeting's expenses. Rates below include this charge. DDCJDDc.OOi[ Participants must register in advance in order to obtain hotel accommodations through the Mathematics Meetings Service Bureau (MMSB). Be sure to complete the Housing section of the ARH TO ~D D~DIiJIs~~ From completely, listing all hotels in order of preference, to insure accurate hotel assignments. GOLDEN D IOie ~ ~.....--CJ ~ ~ GATE E- GEARY ST Participants are urged to call the hotels directly for details on suite configurations, sizes, etc.; however, PARK & OCEAN reservations for regular sleeping rooms and suites must be made through the MMSB to receive the BEACH ~D~D~CJ[JIJ~D~~ convention rates listed on the following pages. The MMSB encourages participants to feel free to call IIc=? them at 401-455-4143 or 401-455-4144 for assistance, if necessary. Di~~~rn1~ Rates: Room Payments/cancellations: DD • hotels are listed on the following pages • all major credit cards -- r1I~.~D6 by descending order of single room rates • personal checks with personal • subject to a 12% sales/occupancy tax ID and/or credit card backup OPERA ~RUn~V~u~. BAY BRIDGE HOUSE TO OAKLAND & • parking rates are per day rates • n-hour cancellation policy BERKELEY PER• ~II • only certified students or unemployed FORMIN A L--::::: = 1l1:%\l' mathematicians qualify for listed student rates Guarantee Requirements: ARTS CENTER ~ 'II"'"~ TO AIRPORT Deadlines: • one night deposit by check LJ~BUS DEPOT ~ & POINTS SOUTH • reservations thru MMSB - November 16 • credit card - VISA, MC, AE • hotel will not accept direct reservations (cards may be charged one »> • changes/cancellations thru MMSB - December 1 night's deposit) • changeslcancellations thru hotels 1 - Chancellor Hotel 9 - Pare Fifty Five - after December 15 Hotels Info: 2 - The Handlery 10 - The Ramada • reservations through hotels - after December 15 • children free at different ages • 3 - Hilton and Towers (Hdqtrs) 11 - The Raphael Hotel (convention rates based on availability only) in existing beds only 4 - Hotel Californian -----+- Indicate directions on one-way streets Special services: • limited nonsmoking rooms 5 - Holiday Inn Golden Gateway • all hotels in or working towards being in (none in King George) 6 - Howard Johnson Pickwick _ _ _ Cable Car Line on compliance with the Americans with • checkin - 3 p.m. / checkout - noon 7 - The King George Hotel Note: map not to scale. However, 10 give sample distances: ..... Disabilities Act (ADA) • rooms with windows that open 8 - The Orchard Van Ness 10 Markel along O'Farrell: approx. I mile e Sutter 10 Markel along Powell: approx. .4 mile a' • special needs should be clearly indicated on (Pare Fifty Five - fresh air vents) ~.., ARH form .... ~ ~ ,j;;o. o~ How to Obtain Hotel Accommodations (continued) ....e r:::' .,~

""" Hotel Name Location Description Single Double Double Triple Triple Quad Quad Suites \0~ (Distance from Hilton) 1 bed 2 beds 2 beds 2 beds w/cot 2 beds 2 beds w/cot (starting rates) ...

San Francisco Hilton and Towers 333 O'Farrell Street Restaurants, Health Club, Sauna, Heated (Headquarters) San Francisco, CA 94102 Outdoor Pool, Parking $22 (In/Out- 415-771-1400 Self or Valet), All children free

DELUXE $ 115 $ 128 $ 128 $ 148 N/A $ 168 N/A $ 300

SUPERIOR 103 115 115 135 N/A 155 N/A 300

STANDARD - REGULAR 90 102 102 123 N/A 143 N/A 300

STANDARD - STUDENT OR UNEMPLOYED 78 78 78 N/A N/A N/A N/A 300

The Pare Fifty Five 55 Cyril Magnin Street Restaurant, Lounge, Health Club, 92 92 92 107 $ 107 122 $ 122 289 (across the street) San Francisco, CA 94102 Exercise Room, Parking $23 (In/Out), (kings only) 415-392-8000 Children under 18 yrs. free

The Handlery Union 351 Geary Street Restaurant, Heated Outdoor Pool, Square (Main Building) San Francisco, CA 94102 Parking $12.50 (In/Out), (2 blocks) 415-781-7800 Children under 15 yrs. free

REGULAR 83 83 83 93 N/A 103 N/A 153

STUDENT OR UNEMPLOYED 73 73 73 83 N/A 93 N/A 153

Holiday Inn 1500 Van Ness Avenue Restaurant, Lounge, Golden Gateway San Francisco, CA 94109 Heated Outdoor Pool, (ASL sessions) 415-441-4000 Parking $11 (guests)/$12 (local) (8 blocks) (In/Out), Children under 19 yrs. free

REGULAR 82 82 82 97 107 112 122 250

STUDENT OR UNEMPLOYED 73 73 73 88 98 103 113 250

The King George 334 Mason Street Restaurant, English High Tea served, Hotel San Francisco, CA 94102 Parking $15.50 - across street (across the street) 415-781-5050, 800-288-6005 (In/Out), Children under 12 yrs. free

REGULAR 78 78 78 N/A N/A N/A N/A N/A

STUDENT OR UNEMPLOYED 68 68 68 N/A N/A N/A N/A N/A

The Orchard 562 Sutter Street Restaurant, Lounge, 78 78 78 88 98 N/A N/A 175 (4 blocks) San Francisco, CA 94102-1102 Health Club/Pool off premises (1/2 blk.), 415-433-4434, 800-433-4434 Parking $15 (In/Out) - 1/2 block away

"'rl (CONTINUED ON NEXT PAGE) o C":l ~ ~ 'J). ~ ~ o How to Obtain Hotel Accommodations (continued) ('1 ~ r.r..

Hotel Name Location Description Single Double Double Triple Triple Quad Quad Suites (Distance from Hilton) 1 bed 2 beds 2 beds 2 beds w/cot 2 beds 2 beds w/cot (starting rates)

San Francisco Hilton and Towers 333 O'Farrell Street Restaurants, Health Club, Sauna, Heated (Headquarters) San Francisco, CA 94102 Outdoor Pool, Parking $22 (In/Out- 415-771-1400 Self or Valet), All children free

DELUXE s 115 $ 128 $ 128 $ 148 N/A $ 168 N/A $ 300

SUPERIOR 103 115 115 135 N/A 155 N/A 300

STANDARD-REGULAR 90 102 102 123 N/A 143 N/A 300

STANDARD - STUDENT OR UNEMPLOYED 78 78 78 N/A N/A N/A N/A 300

The Pare Fifty Five 55 Cyril Magnin Street Restaurant, Lounge, Health Club, 92 92 92 107 s 107 122 $ 122 289 (across the street) San Francisco, CA 94102 Exercise Room, Parking $23 (In/Out), (kings only) 415-392-8000 Children under 18 yrs. free

The Handlery Union 351 Geary Street Restaurant, Heated Outdoor Pool, Square (Main Building) San Francisco, CA 94102 Parking $12.50 (In/Out), (2 blocks) 415-781-7800 Children under 15 yrs. free

REGULAR 83 83 83 93 N/A 103 N/A 153

STUDENT OR UNEMPLOYED 73 73 73 83 N/A 93 N/A 153

Holiday Inn 1500 Van Ness Avenue Restaurant, Lounge, Golden Gateway San Francisco, CA 94109 Heated Outdoor Pool, (ASL sessions) 415-441-4000 Parking $11 (guests)/$12 (local) (8 blocks) (In/Out), Children under 19 yrs. free

REGULAR 82 82 82 97 107 112 122 250

STUDENT OR UNEMPLOYED 73 73 73 88 98 103 113 250

The King George 334 Mason Street Restaurant, English High Tea served, Hotel San Francisco, CA 94102 Parking $15.50 - across street (across the street) 415-781-5050, 800-288-6005 (In/Out), Children under 12 yrs. free

REGULAR 78 78 78 N/A N/A N/A N/A N/A

STUDENT OR UNEMPLOYED 68 68 68 N/A N/A N/A N/A N/A

The Orchard 562 Sutter Street Restaurant, Lounge, 78 78 78 88 98 N/A N/A 175 (4 blocks) San Francisco, CA 94102-1102 Health Club/Pool off premises (1/2 blk.), o(') 415-433-4434, 800-433-4434 Parking $15 (In/Out) - 1/2 block away ....o r::::' (D., (CONTINUED ON NEXT PAGE) I-'~ ~ .&;;... October 1994 FOCUS

Meetings

Mathematical Sciences Employment Register employers more time to examine each candidate's qualifications in San Francisco Hilton advance. • Applicants registered in advance will receive their badges, programs, January 4, 5, & 6, 1995 and Employment Register materials two to three weeks in advance of the meeting, unless they request otherwise. The package will include the complete job announcements received from employers Overview registered by November 16. The Mathematical Sciences Employment Register, held annually at Applicants may register in advance by submitting the Joint Meetings the Joint Mathematics Meetings in January, provides opportunities Advance Registration/Housing Form and Applicant Resume Form (all for mathematical scientists seeking professional employment to meet found in the back of this issue) to the Mathematics Meetings Service employers who have positions to be filled. Job announcements and Bureau by November 16. These forms must be accompanied by brief resumes, prepared by employers and applicants respectively, are payment of the appropriate fees. Applicant Resume Forms received by assigned code numbers and circulated to participants in advance and the November 16 deadline will be included in the Winter List. Advance at the meetings so that members of each group may determine which registration for the Employment Register will continue until the Final members of the other group they would like to have an opportunity Registration deadline of December 7, 1994; however, the Resume Form to interview. Requests for interviews are submitted on forms that will NOT be included in the Winter List but will be posted on site at are turned in at the Employment Register Desk by all participants the Employment Register. Those who do not register by December 7 the day before interviewing begins. The algorithm used in the must register on site at the Joint Meetings Registration Desk and pay the interview scheduling program selects interviews solely from among higher fees. the requests submitted by employers and applicants. Since it does NOT compare an applicant's brief resume with an employer's job announcement, participants should be aware that interviews Advice to Applicants between poorly matched participants may occur, if requested. All Applicants should be aware of some objective information concerning participants are strongly advised to choose interview requests carefully recent Employment Registers: to maximize the effectiveness of the Employment Register system. • At the 1994 Employment Register in Cincinnati, the ratio of Priority is given to certain classes of employer and applicant applicants to interviewers was more than six applicants to one requests. Specifically, mutual requests (requests where an applicant and interviewer. employer have each asked to interview the other) are virtually assured • The employers who responded to the 1994 follow-up survey of being scheduled utilizing a new scheduling algorithm introduced in (76%) reported giving 134 invitations for on-campus interviews to 1993. Employer requests are also given priority, as are the requests Employment Register applicants, and they reported making 88 job by applicants that applicants designate "high priority". Under this offers to applicants. scheduling system, employers in 1993 and 1994 interviewed 100 • In Cincinnati the average total number of interviews for each percent of the applicants they requested (who were actually present at applicant was just over five. the Employment Register). The new system is based on computer code • Most jobs listed required a doctorate. developed by J.P. Jarvis, M. Myers, and D.R. Shier of the Department of • Most jobs listed have been academic positions at bachelor's-granting Mathematical Sciences, Clemson University, under a contract with the institutions. AMS sponsored jointly by the AMS and the Mathematical Association • Over 60% of the employers interviewing at the Employment Register of America. in Cincinnati indicated that they were restricted by their institution The Mathematical Sciences Employment Register is sponsored by or company to hiring only U.S. citizens or permanent residents. the American Mathematical Society, the Mathematical Association of Applicants should obtain their materials in time to examine all America, and the Society for Industrial and Applied Mathematics; it is job listings carefully and make interview requests appropriately. They operated by members of the AMS staff under the general supervision of are likewise encouraged to complete the Applicant Resume Form the AMS-MAA-SIAM Committee on Employment Opportunities. carefully to ensure that employers are aware of any geographical or other restrictions they may have, along with any special experience or qualifications they want prospective employers to know about. Those All interviewing employers and applicants MUST appear at the with schedule conflicts during the Joint Meetings should indicate that Employment Register Desk to submit their request/availability they are unavailable for one or more half-day sessions. sheets by 4:00 p.m. Wednesday, January 4, 1995, regardless of Applicants should keep in mind that interviews arranged by the whether they have registered in advance. Those who will not be Employment Register represent only an initial contact with the employers able to appear on Wednesday should not plan to participate. Should and that hiring decisions are not ordinarily made during or immediately unexpected delays occur while travelling, contact the Employment following such interviews. Applicants are advised to bring a number Register Desk by telephone at 401-455-4140 before 4:00 p.m. EST of copies of their vita or resume so that they may leave them with on Wednesday, January 4. prospective employers; or applicants may wish to mail materials several weeks in advance directly to participating employers in which they are particularly interested. Advance Registration Procedures for Applicants Advance registration is an important step in Employment Register participation that offers several advantages: Advance Registration Procedures for Employers • Advance registration fees for applicants are $35, plus Joint Meetings Representatives of mathematical sciences departments and private or registration fee, vs. $70 on-site registration fee, plus Joint Meetings governmental organizations who plan to contact job seekers at the Joint registration fee. Mathematics Meetings in San Francisco are encouraged to register one • Each typed Applicant's Resume Form will be reproduced in a or more interviewers in advance for the Employment Register. booklet, the Winter List ofApplicants, and distributed to all registered • The fee for employers to register in advance is $150 for the employers. Applicant Resume Forms received after November 16, first interviewer and $75 for each additional interviewer. On-site 1994, cannot be included in the booklet. The booklet allows registration fees are $200 for the first interviewer and $100 for each ------@ October 1994

Meetings

additional interviewer. Employers must also register for the Joint 1995 Employment Register Schedule Meetings and pay the appropriate Joint Meetings fee. Wednesday, January 4 • Employer Forms submitted by November 16 will be photograph• • 7:30 a.m. Distribution of Employment Register material for on-site ically reproduced in a booklet which will be distributed to all registrants and participants registered in advance who did not receive applicants. Employers may elect to receive their badges, programs, materials by mail. and Employment Register material in advance, including the Winter • 9:00 a.m. Short (optional) orientation session. List of Applicants containing all the Resume Forms of applicants • 9:30 a.m.-4:00 p.m. Submission of all interview request forms for registered by November 16. Employers should be aware that there both Thursday and Friday interviews. This applies to both advance will be hundreds of brief resumes to look through and should be and on-site registrants. Those who do not submit interview request sure to obtain the Winter List ofApplicants as early as possible. sheets by 4:00 p.m. will be unable to participate in the Employment To register in advance employers should submit the Employer Form Register on Thursday and Friday. and the Joint Meetings Advance Registration/Housing Form (both found • 1:00 p.m.-4:00 p.m. Help Room open for resume and job hunting in the back of this issue), along with payment of the appropriate fees, to advice. the Mathematics Meetings Service Bureau by November 16. • N.B. No interviews are held on Wednesday. One Employer Form should be submitted for each position or set of Thursday, January 5 positions for which interviews will be conducted. All co-interviewers • 7:00 a.m.-8: 15 a.m. Distribution of interview schedules for both should register at the same time. Each interviewer listed on an Employer Thursday and Friday. Form will be charged separate Joint Meetings and Employment Register fees; however, the "additional interviewers" listed on the form will be • 8:15 a.m.-4:40 p.m. Interviews. charged a lower Employment Register fee. Co-interviewers may share Friday, January 6 one or more tables by working together or in shifts. If individuals from • 8:15 a.m.-4:40 p.m. Interviews. an institution want to interview separately for different positions, they All participants in the 1995 Employment Register must submit will be assigned a separate code number and table and will each pay their Interview Request/Availability Forms between 9:30 a.m. and "first interviewer" fees. 4:00 p.m. on Wednesday, or they will not be included when the It is the policy of some institutions to pay directly for employer fees. interview scheduling program runs Wednesday night. This applies If a payment of this type is made separately from the submission of the to all employers and applicants, whether advance or on-site registrants. advance registration materials, it is important that the institution's fiscal Forms submitted with advance registration do not automatically include department include the name of the department and interviewer with the participants in the interviewing process. their payment so that proper credit can be made in the Providence office. Interviews now occur at twenty-minute intervals with five minutes between successive interviews. The interviews are scheduled in half-day sessions: Thursday morning and afternoon, and Friday morning and Advice to Employers afternoon, amounting to four half-day sessions for interviews. The Employers should know about several flexible options for participation allowed number of interview requests will be determined based on in the Employment Register: half-day sessions to be attended. Participants may choose to indicate • Participants may register for any subset of the four half-day sessions. unavailability for one or more sessions when they submit interview • The schedule allows fifteen-minute interviews, with five minutes request forms. However, once scheduled, participants need to make a between for note taking. good faith effort to meet each appointment. Employers or applicants • One or more interviewers for the same position(s) may interview who must cancel an interview should fill out a cancellation form at the separately, together, or in shifts. Employment Register Desk well in advance. • Employers may elect to receive a booklet containing hundreds of Applicant Resumes Forms two to three weeks in advance. • ALL interview request forms must be submitted on Wednesday; Winter List ofApplicants then on Thursday and Friday employers will interview almost all The Winter List of Applicants contains resumes of persons seeking of the applicants they requested. Most employers at the Cincinnati professional positions in the mathematical sciences and is distributed meeting report that they met with excellent candidates among the to all employers interviewing at the Employment Register. Resume group of applicants who had requested interviews with them. Forms of applicants taking part in the Employment Register and those Employers should bring school catalogs, corporate reports, or more not attending will be included provided they are received before the lengthy job descriptions to the Employment Register Desk early on November 16 deadline. No changes may be made after the form is Wednesday for perusal by applicants prior to interviews. submitted. Copies of the booklet will be available for sale at the AMS Exhibit and Book Sale at the meeting for $10. Any copies remaining after the meeting will be available from the Providence office of the Society for Registration on Site $17 each. Please note that the booklet will no longer be distributed as Applicants and employers who do not register for the Joint Mathematics part of the ElMS subscription. Meetings and the Employment Register by December 7 may register on site in San Francisco at the Joint Meetings Registration Desk. They must Applicants Not Planning to Attend bring their receipt to the Employment Register Desk between 7:30 a.m. Applicants seeking professional positions in the mathematical sciences and 4:00 p.m. on Wednesday, January 4, to receive their materials. who do not plan to attend the Employment Register in San Francisco Every effort should be made to type the Applicant Resume or Employer also may submit the Applicant Resume Form at the back of this issue Form (found in the back of this issue) and bring it to the Register. for publication in the Winter List ofApplicants. Please indicate that you Participants should keep in mind that on-site registration should be done are not attending the meeting and observe the deadline of November 16. as early on Wednesday as possible to allow a longer time for their There is no charge for this service. Resume Form or job listing to be viewed by other participants and also to allow time to examine materials before making their own interview Winter List of Employers requests. There will be no on-site registration for the Employment The Winter List ofEmployers consists of the position listings submitted Register after 4:00 p.m, Wednesday, January 4. by employers who submitted job descriptions by November 16. It will ~1I------\L-~:,./ October 1994 FOCUS

Meetings be distributed to the applicants participating in the Register. Others may Instructions for Applicant and Employer Forms purchase the Winter List of Employers at the AMS Exhibit and Book Sale at the meeting for $10 each. Any copies remaining after the meeting Applicant forms submitted for the Employment Register by the will be available from the Providence office of the Society for $17 each. November 16 deadline will be photographically reproduced in a booklet titled Employers Not Planning to Interview Winter List ofApplicants. Employers who do not plan to participate in the Employment Register Employer forms submitted by the November 16 deadline will be may display a job description. This description must be submitted on photographically reproduced for the WinterList ofEmployers. Employers are the Employer Form which appears in the back of this issue, with the encouraged to provide more than one interviewer when they are able to do so in appropriate box checked indicating that no interviews will take place. orderto increasethenumber of interviewswhichmay be scheduled. Please take A fee of $50 is charged for this service. If the form is received in the care to indicate the number of interviewers for whom simultaneous interviews Providence office (with payment) by the November 16 deadline, it will may be scheduled. Please refer to the Employment Register text for specific appear in the Winter List of Employers. Forms received with payment instructions. in the Providence office after that deadline will be displayed at the The forms mustbe carefullytyped.Do noterase--itcauses smudges meeting. For on-site postings the fee of $50 must first be paid at the Joint whichreproduce when photographed. Use acorrectingtypewriterorcorrection Mathematics Meetings Registration Desk. Participants should inform tapeor fluid ifnecessary. Submit the original typedversion only. Copies will the cashier that they would like to post a job description but are not planning to interview and should obtain the proper receipt. Additional not reproduce properly and are not acceptable. Hand-lettered fonns will be forms are available at the Employment Register Desk. returned. Do not typeoutside the box. AIlfonnsmustbe receivedby theSociety by November16,1994, in ordertoappearin the Winter Lists. Ifyou are attendingthe meeting, the For Further Information AdvanceRegistrationIHousingFonnprintedin this issue mustaccompany Questions about the Employment Register should be addressed to the the form. Employment Register Coordinator at the AMS, 401-455-4140, or by e-mail: wsd~ath. ams .org.

1991 Mathematics Subject Classifications

00 General 44 Integral transforms, operational calculus 01 History and biography 45 Integral equations 03 Logic and foundations 46 Functional analysis 04 Set theory 47 Operator theory 05 Combinatorics 49 Calculus of variations, optimal control 06 Order, lattices, ordered algebraic structures 51 Geometry 08 General mathematical systems 52 Convex and discrete geometry 11 Number theory 53 12 Field theory and polynomials 54 General topology 13 Commutative rings and algebras 55 Algebraic topology 14 Algebraic geometry 57 Manifolds and cell complexes 15 Linear and multilinear algebra, matrix theory 58 Global analysis, analysis on manifolds 16 Associative rings and algebras 60 Probability theory and stochastic processes 17 Nonassociative rings and algebras 62 Statistics 18 Category theory, homological algebra 65 Numerical analysis 19 K-theory 68 Computer science 20 Group theory and generalizations 22 Topological groups, Lie groups 70 Mechanics of particles and systems 26 Real functions 73 Mechanics of solids 28 Measure and integration 76 Fluid mechanics 30 Functions of a complex variable 78 Optics, electromagnetic theory 31 Potential theory 80 Classical thermodynamics, heat transfer 32 Several complex variables and analytic spaces 81 Quantum theory 33 Special functions 82 Statistical mechanics, structure of matter 34 Ordinary differential equations 83 Relativity and gravitational theory 35 Partial differential equations 85 Astronomy and astrophysics 39 Finite differences and functional equations 86 Geophysics 40 Sequences, series, summability 90 Economics, operations research, programming, games 41 Approximations and expansions 92 Biology and other natural sciences, behavioral sciences 42 Fourier analysis 93 Systems theory, control 43 Abstract harmonic analysis 94 Information and communication, circuits ------@ FOCUS October 1994

EMPLOYER FORM

MATHEMATICAL SCIENCES EMPLOYMENT REGISTER JANUARY 4-6,1995 SAN FRANCISCO, CALIFORNIA

1. Form must be typed. (Please see instructions on page facing Applicant Form. No other format will be accepted. Use of MR classification codes is optional.) 2. This form CANNOT be submitted by electronic mail. 3. Hand-lettered forms will be returned. Do not type beyond the box. 4. Please check if Advance Registration/Housing Form previously sent. 0 5. Return form with payment with your Advance Registration/Housing Form by November 16 to AMS, P.O. Box 6887, Providence, RI 02940, in order to be included in the Winter List of Employers.

EMPLOYER CODE: Institution _ Department _

City, State, Zip _

E-mail address _

Name(s) ofInterviewer(s) I. _ 2. _

3. _

4. _

Specialties sought _ (use MR classification codes if possible) Title(s)of position(s) _

Number of positions _

Starting date --,----_1 _ Term of appointment -,.,----- _ Month Year Years Renewal Tenure-track position o Possible 0 Impossible o Yes 0 No Teaching hours per week _ Degree preferred _ Degree accepted _ Duties _

Experience preferred _

Significant other requirements, needs, or restrictions which will influence hiring decisions, _

Able to hire for this position: o U.S. Citizen o Non-U.S. Citizen, Permanent Resident (check all that apply) o Non-U.S. Citizen, Temporary Resident Available for interviews o Session 1 (Thurs. AM, 8:15-11:40) o Session 2 (Thurs. PM, 1:00-4:40) o Session 3 (Fri. AM, 8: 15-11 :40) o Session 4 (Fri. PM, 1:00-4:40) Number of Session 1: Interviewers Session 2: Interviewers interviewers Session 3: Interviewers Session 4: Interviewers o Not Interviewing October 1994 FOCUS

APPLICANT RESUME FORM MATHEMATICAL SCIENCES EMPLOYMENT REGISTER JANUARY 4-6, 1995 SAN FRANCISCO, CALIFORNIA

1. Form must be typed. (Please see instructions on facing page. No other format will be accepted. Use of MR classification codes is optional.) 2. This form CANNOT be submitted by electronic mail. 3. Hand lettered forms will be returned. Do not type beyond the box. 4. Please check if Advance RegistrationlHousing Form previously sent. 0 5. Return form with payment with your Advance Registration/Housing Form by November 16 to AMS, P.O. Box 6887, Providence, RI 02940, in order to be included in the Winter List of Applicants.

APPLICANT Name CODE: Mailing Address (include zip code)

E-mail address Specialties (use MRclassification codes if possible)

Career objectives and accomplishments: Academic: 0 Research 0 University Teaching 0 College Teaching: 0 4-year o 2-year Would you be interested in nonacademic employment? DYes o No Significant achievements, research, or teaching interests

Paper to be presented at this meeting or recent publication

Degree Year (expected) Institution ------Number of refereed papers --- accepted/published PROFESSIONAL EMPLOYMENT mSTORY: Employer Position Experience Years 1. --to-- 2. __to __ 3. __ to __ DESIRED POSITION: Duties Available mo. -_/yr._- Significant requirements (or restrictions) which would limit your availability for employment

References (Name and Institution)

Citizenship: (check one) 0 U. S. Citizen 0 Non-U.S. Citizen, Permanent Resident 0 Non-U.S. Citizen, Temporary Resident

AVAILABLE FOR INTERVIEWS: Session 1 0 Session 2 0 Session 3 0 Session 4 0 Thurs. AM 8:15-11:40 Thurs. PM 1:00-4:40 Fri. AM 8:15-11:40 Fri. PM 1:00-4:40

Print my resume in the Winter List for information only. I will not be interviewing in San Francisco. 0 FOCUS October 1994

MAA Minicourse Advance Registration Form, San Francisco, California January 4-7, 1995

Note: This is NOTthe AMS ShortCourse Form. Please usethe JointMeetings Advance Registration/Housing Form to register in advance for theAMSShortCourse. Toregister for MAAMinicourse(s), please complete THIS FORM or a PHOTOCOPY OFTHISFORM and return withyourpayment to:

Minicourse Coordinator Mathematical Association of America 1529 Eighteenth Street N. W. Washington, DC 20036 Telephone: 202-387-5200, 800·331·1622

______Telephone: _ (Please print) Surname First Middle

Street Address City State Zip

• Deadline for MAA Minicourse Advance Registration: November 16, 1994 (After this date, potential participants are encouraged to call the MAA headquarters at 800-331-1622 for availability of minicourses.) • Deadline for cancellation in order to receive a 50% refund: December 30, 1994 • Each participant must fill out a separate Minicourse Advance Registration Form. • Enrollment is limited to two minicourses, subject to availability.

Please complete the following: I would like to attend 0 1 Minicourse 0 2 Minicourses Please enroll me in MAA Minicourse(s): # and #_ In order of preference, my alternatives are: # and #_

• PAYMENT Check enclosed: $ Credit Card type: o Mastercard 0 Visa

Credit card # Expiration date: _

Signature:------

Minicourse Organized by: Fee 1.Calculus from graphical, numerical, and symbolic points ofview· A.Ostebee & P. Zorn $45 2.Teaching environmental numeracy to liberal arts students ' M. Walter $45 3. Combinatorics viafunctional equations· D.Snow $45 4.The mathematics of epidemics· S.Sandberg $45 5.An introductory mathematics course called Chance J. L. Snell, P. Doyle, &J. Garfield $45 6. Exploring MathKit microworlds L.Geissinger &J. White $65 7. How to use graphing calculator-based numerical and graphical methods, etc. W. Ellis, Jr. & B.Waits $45 8. Learning-styles approach to mathematics instruction K. Williamson & R. Schori $45 9. Dynamic geometry viaGeometer's Sketchpad D.Schattschneider &J. King $65 10. The use of symbolic computation inprobability & statistics Z.A.Karian & E.A.Tanis $65 11. Multivariable calculus using theHarvard Calculus Consortium Materials T. Tucker $45 12. Linear algebra with DERIVE J. Johnson & B.Evans $65 13. Introduction to research intheteaching and learning of undergraduate mathematics, etc. J. Ferrini-Mundy & M. Kathleen Heid $45 14. Recovering motivation in mathematics: Teaching with original sources R. Laubenbacher & D. Pengelley $45 15. Cooperative groups and Socratic interactions inthecollege mathematics classroom W. J. Davis & T. Railey $45 16. How to make fractals D. Gulick &J. Scott $45 17. An introduction to numerical modeling J. Loase & B.A.Fusaro $45 18. Calculus incontext J. Callahan, K. Hoffman, D. O'Shea, &H.Pollatsek $65 19. An introduction tofractal functions and fractal surfaces I wavelet theory P. R. Massopust $45 20. Doing discrete mathematics with undergraduates G.J. Sherman $45 21. Mathematical modeling M. Meerschaert $45 22. Leaming about today's jobmarket formathematics Ph.D.s • C.Bennett & R. Phillips $20 @------•Note: Minicourses #1-4 and #22 are onTuesday. January 3. October 1994 FOCUS

MAA MINICOURSES

Minicourse 1: Calculus from Graphical, Numerical, and Sym• University. Part A: 7:00 p.m. to 9:00 p.m. on Thursday, and bolic Points of View, Arnold Ostebee and Paul Zorn, St. Olaf Part B: 7:00 p.m. to 9:00 p.m. on Friday. Enrollment limited to College. Part A: 3:00 p.m. to 5:00 p.m. on Tuesday, and Part B: 30. 7:00 p.m. to 9:00 p.m. on Tuesday. Enrollment limited to 50. Minicourse 13: Introduction to Research in the Teaching and Minicourse 2: Teaching Environmental Numeracy to Liberal Learning of Undergraduate Mathematics: Examples in Calcu• Arts Students, Martin Walter, University of Colorado. Part A: lus, Joan Ferrini-Mundy, University of New Hampshire, and M. 3:00 p.m. to 5:00 p.m. on Tuesday, and Part B: 7:00 p.m. to Kathleen Heid, Pennsylvania State University. Part A: 7:00 p.m. 9:00 p.m. on Tuesday. Enrollment limited to 80. to 9:00 p.m. Thursday, and Part B: 8:00 a.m. to 10:00 a.m. Sat• urday. Enrollment limited to 30. Minicourse 3: Combinatorics via Functional Equations, Donald R. Snow, Brigham Young University. Part A: 3:00 p.m. to 5:00 Minicourse 14: Recovering Motivation in Mathematics: Teach• p.m. on Tuesday, and Part B: 7:00 p.m. to 9:00 p.m. on Tues• ing with Original Sources, Reinhard Laubenbacher and David day. Enrollment limited to 80. Pengelley, New Mexico State University. Part A: 8:00 a.m. to 10:00 a.m. on Friday, and 1:00 p.m. to 3:00 p.m. on Friday. Minicourse4: The Mathematics ofEpidemics, Sonja Sandberg, Enrollment limited to 80. Framingham State College. Part A: 3:00 p.m. to 5:00 p.m. on Tuesday, and Part B: 7:00 p.m. to 9:00 p.m. on Tuesday. En• Minicourse 15: Cooperative Groups and Socratic Interactions rollment limited to 80. in the College Mathematics Classroom, William J. Davis and Thomas Railey, The Ohio State University. Part A: 8:00 a.m. to Minicourse 5: An Introductory Mathematics Course Called 10:00 a.m. on Friday, and Part B: 1:00 p.m. to 3:00 p.m. on Chance, J. Laurie Snell, Dartmouth College, Peter Doyle, Uni• Saturday. Enrollment limited to 60. versity of California, San Diego, and Joan Garfield, University of Minnesota. Part A: 8:00 a.m. to 10:00 a.m. on Wednesday, Minicourse 16: How to Make Fractals, Denny Gulick, Univer• and Part B: 2:15 p.m. to 4:15 p.m. on Wednesday. sity of Maryland, and Jon Scott, Montgomery College. Part A: 8:00 a.m. to 10:00 a.m. on Friday, and Part B: 1:00 p.m. to 3:00 Minicourse 6: Exploring MathKit Microworlds, Ladnor p.m. on Saturday. Enrollment limited to 40. Geissinger and Jim White, University of North Carolina - Chapel Hill. Part A: 8:00 a.m. to 10:00 a.m. on Saturday, and Part B: Minicourse 17: An Introduction to Numerical Modeling, John 1:00 p.m. to 3:00 p.m. on Saturday. Enrollment limited to 30. Loase, Westchester Community College, and Ben A. Fusaro, Salisbury State University. Part A: 1:00 p.m. to 3:00 p.m. on Minicourse7: How to Use Graphing Calculator-Based Numeri• Friday, and Part B: 3:15 p.m. to 5:15 p.m. on Saturday. Enroll• cal andGraphicalMethods to Enhance the Teaching andLearn• ment limited to 80. ing of Calculus, Wade Ellis, Jr., West Valley College, and Bert Waits, The Ohio State University. Part A: 8:00 a.m. to 10:00 Minicourse 18: Calculus in Context, James Callahan, Smith a.m. on Wednesday, and Part B: 8:00 a.m. to 10:00 a.m. on College, Kenneth Hoffman, Hampshire College, Donal O'Shea, Thursday. Enrollment limited to 30. Mount Holyoke College, and Harriet Pollatsek, Mount Holyoke College. Part A: 8:00 a.m. to 10:00 a.m. on Wednesday, and Minicourse 8: Learning Styles Approach to Mathematics In• Part B: 8:00 a.m. to 10:00 a.m. on Thursday. Enrollment lim• struction, Kenneth Williamson and Richard Schori, Oregon State ited to 30. University. Part A: 8:00 a.m. to 10:00 a.m. on Wednesday, and Part B: 2:15 p.m. to 4:15 p.m. on Thursday. Enrollment limited Minicourse 19: An Introduction to Fractal Functions andFractal to 80. Surfaces and their Connection to Wavelet Theory, Peter R. Massopust, Sam Houston State University. Part A: 7:00 p.m. to Minicourse 9: Dynamic Geometry via Geometer's Sketchpad, 9:00 p.m. on Friday, and 3:15 p.m. to 5:15 p.m. on Saturday. Doris Schattschneider, Moravian College, and James King, Enrollment limited to 80. University of Washington. Part A: 2:15 p.m. to 4:15 p.m. on Wednesday, and Part B: 2:15 p.m. to 4:15 p.m. on Thursday. Minicourse 20: Doing Discrete Mathematics with Undergradu• Enrollment limited to 30. ates, Gary J. Sherman, Rose-Hulman Institute of Technology. Part A: 8:00 a.m. to 10:00 a.m. on Saturday, and Part B: 3:15 Minicourse 10: The Use ofSymbolic Computation in Probabil• p.m. to 5:15 p.m. on Saturday. Enrollment limited to 80. ity andStatistics, Zaven A. Karian, Denison University, and Elliot A. Tanis, Hope College. Part A: 8:00 a.m. to 10:00 a.m. Friday, Minicourse 21: Mathematical Modeling, Mark M. Meerschaert, and Part B: 1:00 p.m. to 3:00 p.m. on Friday. Enrollment limited University of Nevada. Part A: 7:00 p.m. to 9:00 p.m. on Friday, to 30. and Part B: 3:15 p.m. to 5:15 p.m. on Saturday. Enrollment limited to 80. Minicourse 11: Multivariable Calculus Using the Harvard Cal• culus Consortium Materials, Thomas W. Tucker, Colgate Uni• Minicourse 22: Learning About Today's Job Market for Math• versity. Part A: 2:15 p.m. to 4:15 p.m. on Thursday, and Part B: ematics Ph.D.s, Curtis D. Bennett, Bowling Green State Uni• 1:00 p.m. to 3:00 p.m. on Saturday. Enrollment limited to 50. versity, and Richard Phillips, Michigan State University. Part A: 3:00 p.m. to 5:00 p.m. on Tuesday, and Part B: 7:00 p.m. to Minicourse 12: Linear Algebra with DERIVE, Jerry Johnson, 9:00 p.m. on Tuesday. Enrollment limited to 80. University of Nevada, Reno, and Benny Evans, Oklahoma State Please complete this form and return it with your payment to: Mathematics Meetings Service Bureau (MMSB), P. O. Box 6887, Providence, Rl 02940; Telephone: (401) 455-4143 DEADLINES: Room Lottery. Registration Material Mailed in December November 9. 1994 Hotel Reservations. Advance Ticket Sales, Inclusion in Winter Lists (Applicants & Employers) November 16. 1994 Housing Changes and Cancellations December I, 1994 Advance Registration for Joint Meetings. AMS Short Courses, Employment Register December 7. 1994 50% Refund on Tickets December 23. 1994 (no refunds after this date) 50% Refund on Advance Registration. AMS Short Courses, Employment Register December 30. 1994 (no refunds after this date)

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I will arrive on (date) at a.m.j'p.m., and depart on (date) at a.m./p.m. Please list other room occupants, indicating their full name, arrival, and departure dates, and ages of children, and check here if one of the occupants is your spouse. D FOCUS October1994 Preparing for a The Ughter Side New Calculus of Mathematics Anita Solow, Editor Proceedings of the Eugene Strens Memorial Conference on Recreational Calculus and precalculus reform is a major thrust in the mathematics community. Mathematics and its History Preparing for a New Calculus provides an accurate picture of the current status of the reform movements. The conference/workshop "Preparing for a New Calculus" was held onApriI22-25, 1993 in Illinois. The eighty participants included high school, two• Richard K. Guy and and four-year college, and university faculty working on calculus and precalculus reform; Robert E. Woodrow, Editors individuals directly involved in initiatives tied to calculus and precalculus; representatives of national mathematics organizations; and representatives from the field of publishing. In August of 1986 a special conference The volume is divided into four parts: background papers, workshop reports, contributed on recreational mathematics was held at papers, and brief project descriptions. the University of Calgary to celebrate the founding of the Strens Collection. Lead• Among the background papers are overviews of developmental projects in calculus ing practitioners of recreational reform (David Smith); precalculus reform at the college level (Frank Demana), and mathematics from around the world gath• mathematics curriculum reform at the high school level (Zalman Usiskin). In addition, ered in Calgary to share with each other there are background papers on the current status and special problems and potential for the joy and spirit of play that is to be curricular reform in community colleges (Stephen Rodi and Sheldon Gordon), and in found in recreational mathematics. Mar• colleges with large proportions of minority students (James Fife). The remaining two tin Gardner says of recreational background papers summarize the results of the MAA survey of the current state of mathematics: "I don't know of any better calculus reform at the college level (James Leitzel and John Dossey) and changes in the way to hook the interests of students." AP Calculus Program (John Kenelly and John Harvey). The papers in this volume represent a Four workshop groups examine issues of Content, Teaching Strategies, Institutional treasure trove of recreational mathemat• Context, and Course Context. Reports from each workshop form the second part of the ics by a star-studded cast: Leon Bankoff, volume. In these reports, each workshop group examines the future of the reform Elwyn Berlekamp, H.S.M. Coxeter, Ken movement from the perspective of their topic. Falconer, Branko Grtinbaum, Richard The contributed papers, the third part of the volume, represent the best thinking on Guy, Doris Schattschneider, David calculus and precalculus reform from those who are actively involved in the movement. Singmaster, Athelstan Spilhaus, Stan Wagon, and many others. The fourth part is a collection of briefdescriptions of a numberof developmental projects in the calculus and precalculus reform movements. The listing of projects is a valuable You will not soon find another collection resource providing helpful information about a diverse set of projects. Preparing for a of wonderful articles on recreational New Calculus should be read by every mathematics educator who teachers at the cal• mathematics by a more distinguished culus or precalculus level. group of authors. Ifyou are interested in tessellation's, Escher, tiling, Rubik's 250 pp., Paperbound, 1994 cube, pentominoes, games, puzzles, the ISBN 0-88385-092-3 arbelos, Henry Dudeney, or change ring• ing, then this book is a must for you. List: $24.00 Ifyou believe that recreational mathemat• Catalog Code: NTE-36/FC ics must be the mathematics that is fun, Special Prepublication Price: then look no further, for The LighterSide of Mathematics is full of fun. $22.00 until December 31, 1994 376 pp., Paperbound, 1994 ISBN 0-88385-516-x List: $38.50 MAA Member: $29.00 Catalog Code: LSMA/FC

,,r-c::», /\46t~/'\------October1994 FOCUS Uon Hunting and Other All the Math thars Mathematical Pursuits Fit to Print ACollection of Mathematics, Verse, ArtiCles from the Manchester Guarllan and Stories by Ralph P. Boas, Jr. Keith Devlin

Gerald L. Alexanderson andDale H. Mugler, Editors Buy this bookforyourself, and give one As a young man at the Institute for Advanced Study in Princeton, Ralph Philip Boas, to a friend. It will make a wonderful Jr., together with a group of other mathematicians, published a light-hearted article on holiday gift! MAA Members may take the "mathematics of lion hunting" under a pseudonym (1938). This sparked a sequence an additional 10% discount when they of articles on the topic, several of which are drawn together in this book. buy two copies. Lion Hunting includes an assortment of articles that show the many facets of this Between 1983 and 1989 Keith Devlin, remarkable mathematician, editor, writer, and teacher. Along with a variety of his lighter research mathematician, author and edu• mathematical papers, the collection includes Boas' verse and short stories, many of cator, wrote a semi-monthly column on which are appearing for the first time. Anecdotes and recollections of his numerous mathematics and computing in the English experiences and of his work and meetings with many distinguished mathematicians and national daily newspaper, The Manches• scientists of his day are also included as well as photographs taken by Boas of Hardy, ter Guardian. This book is a compilation Littlewood, Besicovitch, Weil, and others. of many of those articles. It is witty, en• The mathematical articles in this collection cover a range of topics. They include tertaining, and easy-to-read. articles on infinite series, the mean value theorem, indeterminate forms, complex vari• The mathematical topics range from ables, inverse functions, extremal problems for polynomials and more. A special simple puzzles to deep results including section of this book is devoted to articles about the teaching of mathematics, with titles open problems such as Faltings Theorem such as "Calculus as an experimental science" and "Can we make mathematics intelli• and the Riemann Conjecture. You will gible?". find articles on prime numbers, how to Boas's wit and playful humor are reflected in the verses included in this collection. work out claims for traveling expenses, The verses reflect the phases of his career as author, editor, teacher, department chair, calculating pi, computer simulation, pat• and lover of literature. A section of the book describes the feud that Boas supposedly terns and palindromes, cryptology, and had with Bourbaki. Also included are many amusing anecdotes about famous mathema• much more. ticians. This book ismeant for browsing by any• In Philip J. Davis' remarks, reproduced in this book, he notes that Boas' sense of one who regularly reads a serious obligation to the mathematical community was strong. We profit from his labor, and as newspaper and has some interest in mat• we treasure it as an inheritance, we should allow ourselves in some measure to walk ters scientific or mathematical. Keith along his path. This collection will allow the reader a glimpse of that path. Devlin tells us "from the mail I received I know that the readers of the column were 240 pp., Paperbound, 1994 a varied bunch. They ranged from stu• ISBN 0-88385-321-3 dents at schools in their early teens (occasionally even younger!), to retired List: $29.00 MAA Member: $22.50 people in theirnineties (often the ones who Catalog Code: DOL-15/FC best succeed in cracking the brain teasers I occasionally included in my articles); from prison inmates to executives in the computer industry; from truckers to schoolteachers; both men and women." It you think that nothing of interest has Both Volumes Available November 1994 happened in mathematics since the time of Pythagoras, this book will change your mind. Keith Devlin presents mathematics as a living human enterprise, both a sci• ence and an art. 345 pp., Paperbound, 1994 ISBN 0-88385-515-1 List: $29.50 MAA Member: $24.00 Catalog Code: ATMA/FC

------,,!47\/!/{";'{:\ t>x::/ FOCUS October1994 ARadical CBMS Issues in The Mathematical Approach to Mathematics Universe An Alphabetical Journey Through the Real Analysis Educatiolt-Volume 4 Great Proofs, Problems, Research in Collegiate Mathematics M. and Personalities David Bressoud Education, I William Dunham This book is an undergraduate introduc• EdDubinsky,A Ian H. Schoenfeld, tion to real analysis. It can be used as a I have never come across a book like textbook, as a resource for the instructor andJim Kaput, Editors Dunham's ...a fascinating lingering over who prefers to teach a traditional course, individual examples of ingenuity and or as a recourse for the student who has The field of research in collegiate math• insight. -Isaac Asimov been through a traditional course yet still ematics education has grown rapidly over does not understand what real analysis is the past twenty-five years. Many people Recommended to all lively-minded about and why it was created. are convinced that improvement in math• people ...a vital cultural experience. ematics education can only come with a -Ian Stewart This course of analysis is radical; it re• greater understanding of what is involved turns to the roots of the subject, butit is not This engaging excursion through when a student tries to learn mathematics mathematical concepts and issues delves a history of analysis. It is designed to be a and how pedagogy can be more directly first encounter with real analysis, laying into everything from Russell's Paradox to related to the learning process. Todaythere the wonders of Fibonacci series. Twenty• out its context and motivation in terms of is a substantial body of work and a grow• the transition from power series to those six lively chapters, alphabetically arranged ing group of researchers addressing both from Arithmetic to Zero, offer a rare that are less predictable, especially Fou• basic and applied issues of mathematics rier series. profile of the great proofs, conundrums, education at the collegiate level. This vol• disputes, and solutions that have shaped The book begins with Fourier's introduc• ume is testimony to the growth of the field. the world of mathematics today. Writing tion of trigonometric series and the The intention is to publish volumes on this with extraordinary clarity, wit, and problems they created for the mathemati• topic annually, doing more or less as the enthusiasm, William Dunham evokes a cians of the early nineteenth century. It level of growth dictates. The introductory keen sense of the majesty and power, the follows Cauchy's attempts to establish a articles, survey papers, and current re• creativity and genius of mathematics and firm foundation for calculus, and consid• search that appear in the first issue convey its masters. ers his failures as well as his successes. It some aspects of the state of the art. The culminates with Dirichlet's proof of the book is aimed at researchers in collegiate A few steps on this fascinating tour: validity of the Fourier series expansion mathematics education and teachers of • Bernoulli Trials and the antics of the and explores some of the counterintuitive college-level mathematics courses who battling Bernoulli brothers results Riemann and Weierstrass were led may find ideas and results that are useful to as a result of Dirichlet's proof. to them in their practice of teaching, as • Hypotenuse and the great theory of well as the wider community of scholars Pythagoras, along with a clever proof To facilitate graphical and numerical in• interested in the intellectual issues raised from President James A. Garfield vestigations, Mathematica commands and by the problem of learning mathematics. programs have been included in the exer• • Zero is more than just "nothing." The cises. Mathematica is powerful and 229 pp., paperbound, 1994 power and importance of "0." convenient, but any mathematical tool with ISBN 0-8218-3504-1 William Dunham, PhD (Allentown, graphing capabilities-including the List: $42.00 MAA Members: $25.00 Pennsylvania) teaches math at graphing calculator--can be substituted. Catalog Code: CBMS 4/FC Muhlenberg College. A nationally• 336 pp., Paperbound, 1994 recognized writer on mathematics, in 1993 he was awarded the George P61yaAward ISBN 0-88385-701-4 of the Mathematical Association of List: $29.00 MAA Member: $22.00 America for excellence in math writing. Catalog Code RAN/FC 240 pp., Hardbound, 1994 ISBN 0-471-53656-3 Price: $22.95 Catalog Code: TMU/FC FREE BOOKS!! Seepage 50

':4lJr'-:-···,/'O} _ 'l':i October1994 FOCUS Complex Numbers Research Issues in A Mustfor all Libraries and Geometry Undergraduate and Lovers of the Monthly Liang-shin Hahn Mathematics Hahn presents a collection ofwonderful ACentury proofs offamous theorems. The presenta• Learning tion is ofhigh quality throughout.. .I have Preliminary Analyses of Mathematics already baseda talkforhigh school math• and Reports ematics teachers on the proofs from this Through the Eyes excellent book. James J. Kaput of the Monthly --J?ossHonsberge0 and Ed Dubinsky, Editors University ofWaterloo John Ewing, Editor Hahn takes beautifulproblems on triangles Research in undergraduate mathematics This is the story of American and circles, and shows how to solve them, education is important for all college and mathematics during the past century. one after another, with one beautiful university mathematicians. Ifour students It contains articles and excerpts from trick---complex numbers! Amazing, that are to be more successful in understanding a century of the Monthly, giving the in the last two centuries nobody else sys• mathematics, then college faculty need to reader an opportunity to skim all one• tematically did plane geometry in this understand how mathematics is learned. hundred volumes without actually elegant, powerful way. This volume of research in undergradu• opening them. It samples mathe• ate mathematics education informs us matics year by year and decade by --J?euben Hersh, about the nature of student learning in decade. Along the way,you glimpse the University ofNew Mexico some of the most important topics in the mathematical community at the turn undergraduate curriculum: sets, functions, of the century, and the divisions This book demonstrates that complex calculus, statistics, abstract algebra, and between the mathematical com• numbers and geometry can be blended problem solving. Paying careful attention munities of teachers and researchers. together beautifully, resulting in easy to the trouble students have in learning Read about the struggle to prevent proofs and natural generalizations of many mathematics will help us to work with colleges from eliminating math• theorems in plane geometry-such as the students so they can deal with those diffi• ematics requirements in the 1920s, the Napoleon theorem, the Ptolemy-Euler culties. controversy about Einstein and theorem, the Simson theorem, and the All college faculty should read this book relativity, the debates about formalism Morley theorem. to find how they can help their students in logic, the immigration of Beginning with a construction of com• learn mathematics. mathematicians from Europe, and the plex numbers, readers are taken on aguided frantic effort to organize as the war tour that includes something for everyone, 150 pp., Paperbound, 1994 began. At the end of the war, hear even those with advanced degrees in math• about new divisions between pure and ematics. Yet, the entire book is accessible ISBN 0-88385-090-7 applied mathematics, heroic efforts to to a talented high-school student. List: $25.50 MAA Member: $19.50 deal with large numbers of new The book is self-contained-no back• students in the universities, and the ground in complex numbers is Catalog Code: NTE-33/FC rise of federal funding for assumed-and can be covered at a lei• mathematics. In more recent times, surely pace in aone-semestercourse. Over see the advent of computers and 100 exercises are included. The book computer science, the problems faced would be suitable as a text for a geometry by women and minorities, and some course, or for a problem solving seminar, of the triumphs of modern research. or as enrichmentfor the student who wants to know more. 335 pp., Hardbound, 1994 202 pp., Paperbound, 1994 ISBN 0-88385-457-0 ISBN 0-88385-510-0 List:$39.50 MAA Member:$32.00 List: $25.50 MAA Member: $19.50 Catalog Code: CENTMA/FA Catalog Code: CNGE/FC FOCUS October 1994 Spirals: From Theodorus to Chaos Philip]. Davis

In his introduction to Spirals: From Theodorus to Chaos, Philip A: The Spiral of Theodorus, Special Functions, and Numerical Analy• Davis writes, "To me, mathematics has always been more than its sis, Walter Gautschi; Supplement B: The Dynamics of the Theodorus form or its content, its logic, its strategies, or its applications. Spiral, Arieh Iserles Part III: Historical Supplements Plato: From Mathematics is one of the greatest of human intellectual Timaeus; Plato: From Theaetetus; Archimedes: From Peri Elikon; experiences, and as such merits and requires a rather liberal Evangelista Torricelli: From De Infinitis Spiralibus; Jean Bernoulli: approach." He takes just such an approach in this book inspired From Opera Omnia; James Joseph Sylvester: From Note on the Suc• by the Hedrick Lectures of the Seventy-Fifth Anniversary of the cessive Involutes of a Circle; Henri Poincare: From Memoire sur les Mathematical Association of America. Although loosely organized Courbes; Edmund Hlawka: From Gleichverteilung und Quadratwurzelschnecke around the study of a difference equation that Davis dubs Theodorus ofCyrene, the book takes us on a whirl wind ofhistory, Epilogue philosophy, anecdote and, of course, mathematics. Incorporating Bibliography the old and the new, the proved and the conjectural, Davis examines Notes Theodorus in light ofmathematical concerns that have grown and Index changed over the past twenty-five hundred years. 248 pp., Hardcover, 1993 CONTENTS ISBN 1-56881-010-5 Part I. The Hedrick Lectures Lecture I: What is a Spiral? Spirals Old List: $29.95 and New; Lecture II: Lessons from Euler's Ghost; Lecture III: Theodorus Goes Wild Part II: Technical Developments Supplement Catalog Code: Spirals/FC

~------I FREE MAA book with every order of S50 or more. If your order comes to $50 or more, choose a FREE hardcover book from this list: o Selected Papers on Precalculus Mathematics 0 Studies in Algebraic Logic Tom Apostol, Editor Aubert Daigneault, Editor o Selected Papers on Algebra o Studies in Partial Differential Equations Susan Montgomery and Elizabeth Ralston, Editors Walter Littman, Editor o Selected Papers on Geometry o The Chauvenet Papers, A Collection ofPrize Winning Anne Stehney and Tilla Milnor, Editors Expository Papers in Mathematics, Volume 1 James Abbott, Editor o Mathematical Time Exposures Isaac Schoenberg o The Chauvenet Papers, A Collection ofPrize Winning o Studies in Applied Mathematics Expository Papers in Mathematics, Volume 2 A.H. Taub, Editor James Abbott, Editor Membership Code _ (Please copy the first six digits that appear on the top line of your mailing labPi) Name Send this order form to: The MAA, 1529 EighteenthStreet, NW Address Washington, DC 20036 1-800-331-1622 FAX (202) 265-2384 City State Zip Code Quantity Catalog Number Price Payment 0 Check 0 VISA o MASTERCARD Card Number

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Theresa Podmele, retired mathematics su• Gail Schweiter, associate, D.H. Wagner In Memoriam pervisor, Buffalo Public Schools, has died. Associates, Media, PA, has died. She was an She was an MAA member for 59 years. MAA member for 7 years. Churchill Eisenhart, retired senior research Ruth E. Porter, retired, Kalispell, MT, has Harry Ruderman, associate professor, fellow, National Bureau of Standards, died died. She was an MAA memberfor 53 years. Lehman College, died inApril 1994. He was on June 25, 1994. He was an MAA member an MAA member for 63 years. for 39 years. William J. Purcell, retired professor, Chi• cagoStateUniversity, died on March 3,1993. James Rychel, physicist,AppleTech. Assoc., James e. MacCaline, instructor at Catskill He was an MAA member for 37 years. has died. He was an MAA member for 6 High School, died at 28. He was an MAA years. member for 4 years. Major James P. Reilly, retired, Oxford, NC, has died. He was an MAA member for 28 Margaret Seelbinder, Winstom-Salen, NC, John Maecher, Miami, Florida, died at 64. years. died in February 1994. She was an MAA He was an MAA member for 39 years. member for 41 years. George W. Reitwiesner, retired, Silver Jerome Martin, retired from IMC Chemical Spring, MD, died on December 27, 1993. John Melvin Smith, professor, George Ma• Group, died at 92. He was an MAA member He was an MAA member for 43 years. son University, died on February 25,1994. for 52 years. He was an MAA member for 32 years. Peter Rinehart, student, has died. He was an W.e. McDaniel, emeritus professorat South• MAA member for 2 years. Myron M. Smith, retired research chemist, em Illinois University, died at 84. He was an the Foodand Drug Administration, has died. MAA member for 50 years. George Royce, retired, Crystal Lake, IL, died He was an MAA member for 33 years. on November 8, 1991. He was an MAA James McIntyre, retired, Charleston, SC, member for 62 years. Stephen Smith, graduate student, Univer• died at 69. He was an MAA member for 37 sity of Utah, died on June 13, 1993. He was years. Halsey L. Royden, professor, Stanford Uni• an MAA member for 15 years. versity, has died. He was an MAA member Ethel Ward McLemore, consultant, Dallas, for 44 years. Stephen Snover, associate professor, Uni• TX, died on January 12, 1994 at 86. She was versity of Hartford, died in February 1994. an MAA member for 30 years. Lynn H. Loomis, retired professor, Harvard He was an MAA member for 6 years. University, died on June 9, 1994. He was an Wilbur P. McNulty, retired from the Medi• MAA member for 40 years. Thomas Southhard, retired professor, Cali• cal Research Foundation-Oregon, died at 69. fornia State University, has died. He was an He was an MAA member for 4 years. Frank J. Servedio, associate professor, MAA member for 48 years. Felician College, died on April 21, 1994. He Joseph Milkman, retired professoratthe U.S. was an MAA member for 20 years. Everett Stevenson, professor, MemphisState NavalAcademy, died at 82. He was an MAA University, has died. He was an MAAmem• member for 60 years. Michael Kasper, MichiganCity, IN, has died. ber for 37 years. He was an MAA member for one year. David Moskovitz, retired, N. Miami Beach, Bonnie Madison Stewart, professor emeri• FL, died on June 22, 1990. He was an MAA Karl R. Stromberg, professor, University of tus, Michigan State University, died onApril member for 68 years .. Washington - Seattle, died on July 3, 1994. 15, 1994, at 79. He was an MAA member He was an MAA member for 36 years. John E. Cook, student at Grand Canyon Uni• for 53 years. versity, Phoenix, AZ, died at 40. He was an Ernest Stennes, associate professor, St. Aimo Suutarinen, mathematics lecturer, MAA member for 3 years. Cloud State University,diedonJuly 5,1993. Seinajoki, Finland, died on August 6, 1993, He was an MAA member for 37 years. W.R. Murray, Columbia, MD, died at 88. He at 58. He was an MAA memberfor 23 years. was an MAA member for 58 years. Harold Slater, professor emeritus, Alma Ann Wagner, assistant professor, Towson College, died on March 25, 1994. He was an John Nassar, senior professor of mathemat• State University, has died. She was an MAA MAA member for 27 years. ics' Muhlenberg College, died on January member for 24 years. 18, 1994, at 66. He was an MAA member Renzo Cairoli, professor, Ecole Earl W. Swokowski, professor, Marquette for 30 years. Poly technique, Lausanne, Switzerland, died University has died. He was an MAA mem• on July 14, 1994. He was an MAA member Andrea S. Negangard, instructor, Ohio Uni• ber for 44 years. for 5 years. versity, died at 46. She was an MAA member John A. Wilson, retired, Sun City Center, for 3 years. Don Cude, professor emeritus, Southwest FL, died on December I, 1993. He was an Texas State Unviersity, died on January 9, Albert Nerken, corp. officer, Veeco Instru• MAA member for 43 years. 1994. He was an MAA memberfor 47 years. ments, Inc., died at 82. He was an MAA Thomas B. Wright, instructor, Georgetown member for 7 years. Alan Little, assistant professor, Sam Hous• Prep School, has died. He was an MAA ton State University, has died. He was an Charles Pflam, retired, Warsaw, NY, died at member for 19 years. MAA member for 26 years. 72. He was an MAA member for 51 years. Robert Wall, associate professor, Bryant Natalie G. Sanders, associate professor, E.W. Ploneses, retired, Decatur, ILhas died. College, has died. He was an MAA member Edison State Community College, has died. He was an MAA member for 64 years. for 28 years. She was an MAA member for 14 years. @------October 1994 FOCUS

Colby College, Department of E\IPUn \IE' I OPPOIfI l 'IllES FonnerAllegheny Moun• Mathematics and Computer Science Rates for FOCUS Employment Advertise• ments are $65.00per column inch. Advertising Waterville, Maine 04901 tain Section President Dies Copy Deadlines: The first of the month, two Carter Professor of Mathematics and Harry Levern Krall, 86, professor emeri• months prior to publication. FOCUS is pub• Computer Science lished in February, April, June, August, tus of mathematics, Pennsylvania State Colby invites nominations and applications for October, and December. Advertisers should University, died on June 9,1994. Carter Professor of Mathematics and Computer contact: FOCUS Advertising Coordinator, Science, effective September I, 1995.Necessary Krall graduated from York High School in MAA, 1529 Eighteenth Street, NW, Washing• qualifications include: a Ph.D. inmathematics or 1923 andfrom GettysburgCollegein 1927 ton, DC 20036-1385; (202) 387-5200; fax: computer science; a distinguished career as with a BachelorofSciencedegree. In 1928, (202) 265-2384; e-mail: [email protected] scholar and teacher; commitment to liberal arts sci~ he earned his MasterofScience, also from Mathematical Olympiad Summer undergraduate mathematics and computer Gettysburg. He receivedhisPh.D. in math• ence education. Program of the Mathematical ematics from Brown University in 1932, Association of America The Carter Professorship is an endowed position where he studied under noted Russian for a nationally recognized scholar and teacher. Applications are being solicited for an instructor mathematician J.D. Tamarkin. The Carter Professor is expected to maintain a for the Mathematical Olympiad Summer Pro• distinguished research program and provide re• During the 1960s, Krall served as secre• gram (MOSP), conducted annually by the search leadership for the department and the tary, president, and governor of the Mathematical Association of America. This science division of the college, as well as teach Allegheny MountainSection,and wasalso four-week summer program will be held June undergraduate mathematics, statistics, and/or l3-July 12, 1995. an active member of the American Math• computer science classes and participate in the ematical Society. He had been a member Twenty-fouroutstanding high school mathemat• departmental programs. The Professorship in• of the MAA since 1944. ics students are chosen for the program on the cludes funds for research and travel. basis of their performance on the American Krall's mathematical research was in the Colby is a highly selective college of 1700 stu• Mathematics Competitions and their potential area of orthogonal polynomials. His dis• dents and 165 faculty. Its Department of as members of the U.S. team for the Interna• covery of the Bessel, Legendre-type, Mathematics and Computer Science had 9 full• tional Mathematical Olympiad (lMO). The top time and 2 part-time faculty members who are Laguerre-type, and Jacobi-type orthogo• six 1995U.S.A.MathematicalOlympiadstudents activeresearchersandteachcourses inmathemat• nal polynomials led to the current study of will constitute the U.S.A. IMO team and they are ics, computer science, and statistics. Normal semi-classical polynomialsthroughoutthe given specialized coaching. All participants re• annual teaching load isfive courses, one of which world. ceive in-depth enrichment in important may be during the January Program. Colby is an mathematical topics to stimulate their continu• AA/EO employer and encourages applications inginterestinmathematics,andhelppreparethem from women and minorities. Other Meetings for future study of mathematics. The campus of 700 acres is on the outskirts of Instructors in the program provide accelerated Waterville,a city of 20,000. Waterville is located October 22 and 29, 1994 New York State instruction in Geometry, Number Theory, Com• on the Kennebee River in an area of lakes, for• MathematicsAssociationofTwo-Year Col• binatorics, and Advanced Analysis. Experience ests,andfarms. Mountains(includingSaddleback leges Regional Conference, Monroe working with high-ability students and familiar• and Sugarloaf ski areas) and seacoast (including Community College. Contact: Frank ity with olympiad-type competitions is desired. Acadia National Park) are within a two-hour Mandery, Finger Lakes Community Col• Some of the MOSP instructors also serve as drive.Bostonisapproximatelyathree-hourdrive. lege, 4355 LakeShoreDrive, Canandaigua, coaches for the IMO team, and accompany the NY 14424; (716) 394-3500 x418. team to the IMO, to be held in 1995 in Canada. Send nominations or applications inhard copy to Dale Skrien, Chair, Department of Mathematics November 6, 1994 New York State Math• Applicants should send a copy of their Curricu• and Computer Science ([email protected]). ematicsAssociationofTwo- Year Colleges lum Vitae and a statement of related experience Review of applications will begin on October 15, Regional Conference, MonroeCommunity to: Professor Walter Mientka, Executive Direc• 1994,and willcontinue untiltheposition isfilled. College. Contact: Frank Mandery, Finger tor, AMC, Department of Mathematics and Lakes Community College, 4355 Lake Statistics, University of Nebraska, Lincoln, NE Williams College Shore Drive, Canandaigua, NY 14424, 68588-0658, Fax: 402-472-6087 e-mail: Department of Mathematics (716) 394-3500 x418. Walter@ amc.unl.edu. Applications are due November 1, 1994. They will be reviewed by Williamstown, Massachusetts November 11-12, 1994 Eighth Annual December 5, and the position filled soon there• 01267 Southeastern Small College Computing after. The MAA is an equal opportunity/ Anticipatedvisitingpositionforthe 1995-96year, Conference, Furman University, affirmative action employer. probable full-time, probably at the rank of assis• Greenville, SC. Contact: Dr. Ken tant professor; in exceptional cases, however, Saturday,December 10, 1994, 11 AM- 2:30 Abernathy, ComputerScienceDepartment, more advanced appointmentsmay beconsidered. PM. Fifth Annual Dolciani Lectures Furman University, 3300 Pointsett High• Excellence in teaching and research, and doctor• Hunter College (CUNY): Professor An~ way, Greenville, SC 29613-0424; e-mail: ate expected. Please have a vita and three letters drew Wiles will delivertwo one-hourtalks [email protected] . ofrecommendation onteachingandresearch sent on "Elliptic Curves". R.S.V.P. by October December 2-4, 1994 Mathematica in the to Hiring Committee. Evaluation of applications 31,1994 to Joseph Roitberg, Department "Gunks", a three day course to develop will begin November 15 and continue until the of Mathematics & Statistics, Hunter Col• Mathematica skills. State University of position is filled. As an EEO/AAemployer, Wil• lege(CUNY),695 ParkAvenue.NewYork, New York, College at New Paltz. Contact: liams especially welcomes applications from NY 10021; (212) 772-5300 or 772-5303' Karl Heiner; (914) 257-2938; e-mail: women and minority candidates. e-mail: jorhc@ cunyvm.cuny.edu. ' [email protected] . FOCUS October 1994

Senior Position in Applied Three Year Lecture Positions responsible for teaching undergraduate math and Mathematics Harvey Mudd Department of Mathematics is expected to participate in undergraduate re• search by either collaborating on current faculty College Department of University of Arizona Tucson, Arizona projects or starting their own project. Applicants Mathematics should submit a resume, at least three letters of The Department of Mathematics at the Univer• The department invites qualified candidates who reference and a statement regarding teaching and sity of Arizona has openings for three year can provide leadership in applied mathematics to research interests to Dr. Robert P.Marande, Chair, non-tenure track positions at the rank of adjunct apply for a senior position, which will begin July Mathematics/Physics Department, Philadelphia lecturer. We are looking for individuals with I, 1995, College ofPharrnacy and Science, 600 South 43rd records of effective and innovative undergradu• Street, Philadelphia, PA 19104. Applications will The successful candidate will be eligible for ap• ate teaching. Documentation of such be accepted until the position is filled. pointment to the rank of associate or full professor, accomplishment will be the primary consider• and is expected to assume a term as department ation used in offering these lectureships. A The Philadelphia College of Pharmacy and Science is an chair in the near future, The anticipated hiring of graduate degree in Mathematics or Mathematics Equal Opportunity/Affirmative Action employer with a several new faculty members over the next five Education is required. Teaching duties include strong commitment to racial, cultural and ethnic diversity. years will give the successful candidate a unique the following courses: college algebra, precalcu• Nominations of and applications of individuals from a broad opportunity to have a strong hand in shaping the lus, finite mathematics, and calculus. These spectrum of backgrounds are encouraged. department. positions offer excellent opportunities for indi• Applicants should have an earned doctorate or viduals to work with other faculty members in an University of Oklahoma equivalent, strong administrative skills, an es• innovative learning environment. Lecturers en• Chair joy all the benefits and privileges that are available tablished record in research, and a commitment Department of Mathematics to excellence in teaching, research, and other to other University employees. scholarly activities, Candidates in all areas of The deadline for applications is November 18, applied mathematics will be considered, Salary 1994. Early submission of application material Nominations and applications are invited for the will be commensurate with experience and quali• is strongly encouraged. Women and minority position of Chair of the Department of Math• fications, applicants are especially welcome. Correspon• ematics. The appointment is to be effective by the start of the Fall 1995 semesteror earlier. Can• Harvey Mudd College is a small, highly selec• dence regarding job descriptions, qualifications didates must possess an earned doctorate, a tive, privately supported institution with major and application procedures should be sent to: substantial record of research achievement, a programs in physics, chemistry, engineering, Entry Level Teaching Positions commitment to excellence in teaching, and lead• mathematics, biology, and computer science, Alan C. Newell, Head ership and administrative abilities appropriate to About one-third of incoming students are Na• Department of Mathematics a department that is dedicated to a balanced pro• tional Merit Scholars, The curriculum emphasizes University of Arizona gram of quality research and teaching. The breadth in science and engineering with a com• Tucson, Arizona 85721, USA Mathematics Department has over 30 faculty and mitment to studies in the humanities and social The University of Arizona is an Affirmative approximately 70 graduate students. There are sciences. The program is rigorous and designed Action/Equal Opportunity/ADA Employer. active research programs in a wide range of top• to prepare students for industry as well as gradu• ics. The scientific activity of the Department is ate study. Change magazine reports that HMC further enhanced by a substantial endowment for was the first in the country in the percentage of its Williams College discretionary funds. The Department offers pro• alumni who earn Ph.D.s. The college has an en• Department of Mathematics grams for the bachelor's, master's, and Ph.D. rollment of 630 and is associated with four other degrees. Candidates should send a cover letter, undergraduate colleges and a graduate school in Williamstown, Massachusetts vita, selected reprints, and names and addresses Claremont, forming an academic community of 01267 of four referees (at least one of whom could ad• about 5,000 students. Faculty at HMC may also Anticipated tenure-eligible position in mathemat• dress the candidate's administrative abilities) to: have an appointment to the graduate school fac• ics or applied mathematics, beginning Fall 1995, ulty and can advise doctoral students in research. probably at the rank of assistant professor; in Dr. Paul Goodey, Chair Search Committee HMC has II mathematics and five computer exceptional cases, however, more advanced ap• Department of Mathematics science faculty and the Claremont Colleges com• pointments may be considered. Excellence in both University of Oklahoma bined have a total of 48 mathematics and computer teaching and research is essential; a doctorate is Norman, Oklahoma 73019-0315 science faculty. The department has an excellent required. Screening will begin on November I, 1994, and network of both office and laboratory computer Please have a vita and three letters ofrecommen• continue until the position is filled. workstations. dation on teaching and research sent to Hiring The University of Oklahoma is an Equal Oppor• Harvey Mudd College is an affirmative action, Committee. Evaluation of applications will be• tunity/Affirmative Action Employer. equal opportunity employer. Minority and women gin November 15 and continue until the position Women and minorities are encouraged to apply. candidates are especially encouraged to apply. is filled. As an EEO/AA employer, Williams es• Preference will be given to applications received pecially welcomes applications from women and OU has a policy of being responsive to the needs by December I, 1994. Applicants should be pre• minority candidates. of dual-career couples. pared to have three letters of reference sent upon request and send a curriculum vitae, a descrip• Assistant Professor Mathematics Education tion of their research, teaching, and administrative The Mathematics/Physics Department of the The Department of Mathematics and Computer experience, to: Philadelphia College of Pharmacy and Science Science at West Chester University invites appli• Professor Robert Borrelli, Search Committee is accepting applications for a tenure-track fac• cations for a tenure-track Assistant or Associate Chair, Departmentof Mathematics, Harvey Mudd ulty position at the assistant professor level Professor position in Mathematics Education College, Claremont, CA 91711 starting in the fall of 1995. Candidates should beginning September, 1995. Adoctorate in math• have a Ph.D. in math with an interest in the area ematics or mathematics education with the of topology. The successful candidate will be equivalentof a master's in mathematics required. @------October 1994 FOCUS The appointment commences onAugust 15, 1995. Applicants must have teaching experience at the COLBY COLLEGE pre-college level or in teaching undergraduate Candidates should send a curriculum vitae and courses in mathematics education and have dem• arrange for three letters of recommendation to be Department of Mathematics and onstrated teaching excellence. Preference will be sent prior to December I, 1994 to: Computer Science given to applicants with elementary/middle Dr. M. Belinski We have two tenure-track openings at the assis• school experience and to those with demonstrated Department of Mathematics & Statistics tant professor level, commencing September ability ineducational research and grant-proposal Concordia University 1995. Ph.D. required. The salary is competitive, writing in K-8 mathematics education. Applicants 7141 Sherbrooke St. W. and based on experience. will be expected to teach pre- and in-service con• Montreal, Quebec Colby is a small, private, highly selective liberal tent and methods courses as well as other Canada H4B IR6 arts college located in central Maine. The student mathematics service courses. Concordia University is committed to Employ• body numbers 1700, the faculty is 165. The De• Send vita, transcripts, and three letters of refer• ment Equity and encourages applications from partment of Mathematics and Computer Science ence to: William H. Seybold, Mathematics women, aboriginal peoples, visible minorities and currently numbers nine full-time and two part• Education Search Committee, Department of disabled persons. In accordance with Canadian time, all of whom have the Ph.D. We have major Mathematics/Computer Science, WEST immigration requirements, priority will be given and minor programs in mathematics and com• CHESTER UNIVERSITY, West Chester PA, to Canadian citizens and permanent residents of puter science. 19383, e-mail: [email protected]• Canada. We are a young, active department, which places tion review begins January 31, 1995. AA/EOE. a high value on both teaching and research. The Women and minorities are encouraged to apply. Millersville University annual teaching load is 5 courses. The largest Mathematics Department class size is 30. Valdosta State University Assistant Professorship to begin Fall 1995. Re• For one of the openings, we prefer someone with Head, Department of Mathematics and Computer sponsibilities include teaching mathematics a pure mathematics background. For the other Science courses in elementary and secondary teacher position we prefer someone with a strong com• Valdosta State University is accepting applica• education, teaching a wide variety ofundergradu• puter science and mathematics background. tionsfor a Head ofthe Department of Mathematics ate mathematics service courses, teaching and Candidates who are able to demonstrate excel• and Computer Science at the rank of associate or curriculum development in mathematics educa• lence in teaching are likely to be ranked higher in full professor beginning I July 1995. Ph.D. in tion both at the undergraduate and M.Ed. levels, our selection process. mathematics or computer science and strong and supervision of student teaching experiences. Colby actively encourages applications from teaching and research skills required; some ad• Must have doctorate (or completion within one women and minority candidates. We are an EO/ ministrative experience preferred. Department year) in mathematics education or mathematics AA employer. includes 19 full-time faculty and over 200 ma• with a specialization in mathematics education. Review of applications will begin on December jors and offers six degree programs, including Must be broadly trained in mathematics with at 10, 1994, and will continue until the positions are applied mathematics and computer information least 24 semester hours of graduate level courses filled. Send a letter of application and a current systems. in pure or applied mathematics. Must exhibit evidence of a strong commitment to excellence curriculum vita in hard copy to: Dale Skrien. Applicants should submit a letter of application, in teaching and continued scholarly activity, and Chair. Departmentof Mathematicsand Com· complete dossier, and at least three letters of rec• have familiarity with current directions in math• puter Science, Colby Colleee. WateryjJ!e, ME ommendation by Nov. 15 to Thomas E. Dasher, ematics education, including the use of 04901 (djskrien @colby,edu},Also, arrange for Acting Dean, College ofArts and Sciences, VSU, technology in the classroom. Evidence ofteach• three letters of reference to be sent to the same Valdosta, GA 31698. Valdosta State University ing effectiveness is the primary consideration. address. These letters should deal with both your is an AA/EO employer. Preference given to candidates with experience research and your teaching abilities. teaching mathematics in secondary or middle Concordia University schools. Candidates must be able to work effec• Department of Mathematics & Statistics tively with professional and community groups. The department invites applications for a tenure• Full consideration will be given to applications track appointment inMathematics Education. The received by 1/20/95. Send letter of application, appointment is to support its Masters in the Teach• curriculum vitae, copies of transcripts and three current letters of recommendation (at least two ing of Mathematics, a program aimed at Society for Information Technology increasing the professionalism of teachers. Ap• letters must attend to recent teaching effective• plicants must have a doctorate in Mathematics or ness) to: Dr. Bernie Schroeder, Staff Search Chair, and Teacher Education in Mathematics Education with a strong math• Dept. of Mathematics/FO 1094, MILLERS• 6th International Conference ematics background. Aproven record of research VILLE UNIVERSITY, P.O. Box 1002, (formerly STATE)- SITE 95 Millersville, PA 17551-0302. AA/EOE. in Mathematics Education with preference given March 22-25, 1995, San Antonio to research dealing with epistemological issues and conceptual difficulties at the university or Convention Center, San Antonio upper-secondary level is also essential. Special Strands: Diversity and International Perspectives, Social Studies, Language Arts, The position requires: Special Education, Science and Mathematics I. Teaching graduate courses in mathematics Education, Elementary Education; sponsored education and undergraduate courses in math• by SITE, a division of the Association for the ematics. Advancement of Computing in Education 2. Direction of graduate students in mathematics (AACE). For registration or exhibitor infor• education. mation, contact AACE, PO Box 2966, Charlottesville VA22902; (804)973·3987; fax: 3. Continued scholarly research activity in math• (804) 978-7449; e-mail: [email protected]. ematics education. ------@ Calendar

National MAA Meetings LO UlSIANA-MISSISSIPPI March 3• meeting with S. California Section) January4-7,1995 Seventy-eighthAnnual 4, 1995, Mississippi State University, OHIOOctober28-29, 1994, University Meeting,SanFrancisco (BoardofGov• Biloxi, MS of Findlay, Findlay, OH ernors, January 3, 1995) MD-DC-VA November 11-12, 1994, OKLAHOMA-ARKANSAS March August 6-8,1995 SeventiethAnnualJoint Western Maryland College, 31-Aprill,1995,SouthwesternOkla• Summer Meeting. University of Ver• Westminster, MD homa State Univ., Weatherford, OK mont-Burlington, Burlington, VT April 7-8, 1995, Thomas Nelson Com• PACIFIC NORTHWESTJune 15-17, munity Col1ege, Hampton, VA 1995, Whitman Col1ege,Wal1aWal1a, Sectional MAA Meetings METROPOLITAN NEWYORK May WA 6, 1995, Manhattan Col1ege, Bronx, ROCKY MOUNTAIN April 1995, ALLEGHENY MOUNTAIN April 7• NY University of Southern Colorado, 8, 1995, Duquesne University, MICHIGAN May 5-6, 1995, Grand Pueblo, CO Pittsburgh, PA Val1ey State University, Al1endale,MI SEAWAY November 4-5,1994, Roch• EASTERN PA & DELAWARE No• MISSOURI April 7-8, 1995, Central ester Institute of Technology, vember 5, 1994, Montgomery Co. Missouri State University, Rochester, NY Community Col1ege, Blue Bel1, PA Warrensburg, MO April 21-22, 1995, Hobart & William FLORIDA March 3-4, 1995, Valencia NEBRASKA April 1995, Creighton Smith Col1eges, Geneva, NY Community Col1ege-East Campus, University, Omaha, NE November 3-4, 1995, Skidmore Col• Orlando, FL NEW JERSEY November 19, 1994, lege, Saratoga Springs, NY ILLINOIS March 31-April 1, 1995, Georgian Court Col1ege, Lakewood, SOUTHEASTERN March 31-Aprill, Monmouth Col1ege, Monmouth, IL NJ 1995, University of North Carolina• INDIANA October 8, 1994, Indiana NORTH CENTRAL October 28-29, Asheville University/purdue University, India• 1994, Minot State University, Minot, SOUTHWESTERN April 7-8, 1995, napolis, IN ND University of Texas at EI Paso March 3 l-April 1, 1995, Tri-State Uni• April 21-22, 1995, Carleton Col1ege, SOUTHERN CALIFORNIA October versity, Angola, IN Northfield, MN 22, 1994, California State Univ., San INTERMOUNTAIN April 7-8, 1995, NORTHEASTERN November 18-19, Bernardino, CA Idaho State University, Pocatel1o, ID 1994, University of Hartford, Hart• October21-22, 1995, Cal Polytech State IOWA April 22, 1995, University of ford, CT University, San Luis Obispo, CA(joint Northern Iowa, Cedar Fal1s, IA June 2-3, 1995, Bates College, meeting with N. California Section) KANSAS April 14-15, 1995, Wichita Lewiston, ME TEXAS March 30, 31, April 1, 1995, State University, Wichita, KS November 17-18, 1995, Salem State Baylor University, Waco, TX KENTUCKY March 31-April1, 1995, Col1ege, Salem, MA WISCONSIN April 7-8, 1995, Univer• Transylvania University, Lexington, NORTHERN CALIFORNIA October sity of Wisconsin-Green Bay, Green KY 21-22, 1995, Cal Polytech State Uni• Bay, WI versity, San Luis Obispo, CA (joint For Other Meetings, See page 53

FOCUS OCTOBER 1994 The Mathematical Association of America Second class postage paid at Washington, DC and 1529 Eighteenth Street, NW additional mailing offices Washington, DC 20036-1385