THE NEWSLETTER OF THE MATHEMATICAL ASSOCIATION OF AMERICA NSF Mathematicians Receive Awards Two long-time NSF staff members received ematical and Physical Sciences and the Na• Volume 15, Number 5 federal service awards earlier this year. tional Science Foundation, including her inno• vative leadership and Judith Sunley, former her successful strate• director of the Divi• gic planning efforts." In this Issue sion of Mathematical Sciences, former ex• Bernard McDonald, 3 President's ecutive officer of the assistant director of the Column MPS Directorate, and Division of Math• now in the Director's ematical Sciences, re• 4 Letters to office, is the NSF's ceived the Director's recipient ofthe Presi• Meritorious Service the Editor dential Award for a Award "in recognition Judith Sunley Distinguished Execu- Bernard McDonald of his contributions to 6 Myths in Math tive. This award recognizes career Senior Ex• the advancement of the mathematical sciences ecutive Service members who have and the formation of policy for science." This 10 To Cballenge demonstrated sustained, extraordinary accom• is the second-highest honorary award conferred plishment during their executive careers. She by the NSF upon employees who render meri• with Compassion: was cited for her "distinguished contributions torious service within or beyond their required Goals for to the management of the Directorate for Math- duties. Mathematics Education House Subcommittee Considers Graduate Education The House Science Committee's subcommit• Griffiths appeared as the first witness. He noted 14 Highligbts from tee on basic research held a hearing in July to that total unemployment among scientists and MathFest 1995 discuss the status of U.S. graduate education engineers is low but that new Ph.D.s are having in light of unemployment problems among to wait longer to find first jobs in their chosen new Ph.D. scientists and engineers. The fo• fields. Subcommittee members expressed con• 17 1996 Joint cus of the hearing was a recent report from the cern about the situation, but it seemed clear that Meetings National Academies, "Reshaping the Gradu• problems of underemployment, which is diffi• Information ate Education of Scientists and Engineers," cult to define in the first place, are not going to which recommends broadening the academic be resolved by federal action beyond helping 46 Employment options of graduate students to produce more universities improve graduate education. Opportunities versatile Ph.D.s. Committee Chair Phillip [See "Myths in Math" page 6.]

47 Become a Visiting U.S. Team Takes Six Medals at IMO Mathematician Each of the six members of the U.S. team won setts) won silver medals. Khazanov and Lurie AttheMAA medals at the thirty-sixth International Math• were members of last year's U.S. IMO tearn ematics Olympiad in Toronto, Canada on July which received a perfect score for the first time 19 & 20. The U.S. tearn placed eleventh among in IMO history. the record number of seventy-four countries Christopher C. Chang (Palo Alto, California), The Mathematical that participated. The top twelve teams were Jay H. Chyung (Iowa City, Iowa), and Andrei Association of America China, Romania, Russia, Vietnam, Hungary, C. Gnepp (Orange, Ohio) won bronze medals. 1529 Eighteenth Street, NW Bulgaria, South Korea, Iran, Japan, United Washington, DC 20036 Kingdom, USA, and India. The U.S. winners received their medals at the IMO closing awards presentation on July 24. Aleksandr L. Khazanov (Brooklyn, New York) , JacobA. Lurie (Bethesda, Maryland), and Josh P. Nichols-Barrer (Newton Center, Massachu- See IMO on page 3 FOCUS October 1995 FOCUS Editorial FOCUS is published by The Mathematical A World of Melissas Association of America, 1529 Eighteenth Street Northwest, Washington, DC 20036- My editorial in the April issue of FOCUS generated quite a mailbag. That was the 1385, six times a year: February, April, 'Melissa editorial' in which I described the problems my own sixteen-year-old daughter June, August, October, and December. encountered in her high school mathematics class. In vain were my attempts to convince Editor and Chair of the MAA Melissa's teachers that if they would only look beyond her officially diagnosed learning Newsletter Editorial Committee: Keith disability, they would see that Melissa was probably one of the brightest students they J. Devlin, Saint Mary's College of would ever encounter. I likewise made no headway in trying to persuade them to look California at the evidence of the educational psychologist who had tested Melissa and discovered Associate Editor: DonaldJ. Albers, MAA an ability at mathematical reasoning way in advance of her tender years. According to Associate Executi ve Director and Director the school's definition, Melissa's inability to perform well on the narrowly focused, of Publications and Programs highly constrained, repetitive, and heavily algorithmic symbol manipulations that seemed Managing Editor: Harry Waldman, MAA to form the central core of their mathematics education program meant that she was "not Production Specialist: Amy good at math" and would therefore have to repeat the course. In frustration, my wife and Stephenson Fabbri, MAA I finally withdrew her from the high school and enrolled her in courses at the selective private college where I am a dean. Whereupon she promptly romped through the math• Proofreader: Meredith Zimmerman, ematics course with an A and went on to perform well in a whole range of courses spread MAA across the curriculum. Copy Editor: Nancy Wilson, Saint Mary's College of California "Are there other Melissas out there?" I asked in my April editorial. "Yes!" came the thundering reply, as each day's mailbag brought in more tales of similar woe. Four of the Letters to the editor should be addressed many replies I received are printed, with permission, in this issue. (See pages 4 & 5.) Two to: Keith Devlin, Saint Mary's College of California, P.O. Box 3517, Moraga, CA letters are from parents, one from a 'former Melissa' just about to complete a Ph.D. in 94575; e-mail: [email protected]. mathematics, and the fourth is from a high school mathematics teacher. The FOCUS subscription price to Some of the letters I received were very bitter, and when I read what these writers had individual members of the Association is to say, it was hard not to sympathize with their anger at the treatment they or their children $6.00, included in the annual dues. had received in the name of high school mathematics. However, it was not the purpose (Annual dues for regular members, of my April editorial to begin throwing stones or to cast blame, and that is not the purpose exclusive of annual subscription prices for MAA journals, are $68.00. Student and of this follow-up either. Using my editor's privilege, I have decided not to publish any unemployed members recei ve a 66 percent of the more bitter letters. The ones you will read are representative of the overwhelming discount; emeritus members receive a 50 majority, where the writer seemed to share my view that blame was neither appropriate percent discount; new members receive a nor indeed easy to lay at the right feet. As a community of mathematicians, we face a 40 percent discount for the first two problem, and it is only by pulling together and cooperating that we have any chance of membership years.) moving forward. If there are mathematics teachers in the classrooms who do not have Copyright © 1995 by The Mathematical a real sense of what mathematics is, then we need to ask ourselves who taught those Association of America (Incorporated). teachers their mathematics. Educational institutions may reproduce articles for their own use, but not for sale, An easy answer is to say that we, the professional mathematicians and mathematics provided that the following citation is used: educators, provided our high school teachers with a good education, but they ignored it "Reprinted with permission of FOCUS, once they left the college or university and went into the school classroom. An easy the newsletter of The Mathematical answer. And I am sure there are cases where that is exactly what happened. But surely Association of America (Incorporated)." it is not an answer we should be satisfied with. If large numbers of school mathematics Second-class postage paid at Washington, teachers think that mathematics is mainly about learning and performing algorithms and DC and additional mailing offices. has little or nothing to do with concepts and creativity and connections to other parts of Postmaster: Send address changes to the life, then we-the teachers of the teachers-surely must bear our share of the blame. Membership and Subscriptions De• partment, The Mathematical Association That's the easy part. of America, 1529 Eighteenth Street Northwest, Washington, DC 20036-1385. ISSN: 0731-2040 -Keith Devlin Printed in the United States of America. Printed on recycled paper. The above opinions are those ofthe FOCUS editor and do not necessarily represent the official view of the MAA.

2 October 1995 FOCUS

IMO from page 1 United States team members were selected President's Column based on their performances in the twenty• fourth annual USA Mathematical Olym• piad held in April of this year. (See the Affirmative Action in the MAA August issue of FOCUS.) The U.S. team After decades of commitment to civil had four weeks of intensi ve training at the article "Ideas of Calculus in Islam and rights, the nation seems to be reversing its Illinois Academy of Mathematics and Sci• India," which appeared in the June 1995 course. Whether you feel this reflects an ence in Aurora, Illinois before traveling to issue of Mathematics Magazine. He de• appalling change of direction or is a badly Toronto. scribes how the House of Wisdom flour• needed correction, you might wonder ished in Baghdad over a thousand years Titu Andreescu, from the Illinois Math• whether this will have an impact on the ago. The caliphs actively worked to in• ematics and Science Academy, and leader mathematics community at large and the clude everyone (not only Moslems, but of the team said, "Even though our team MAA in particular. also Christians, Jews, Zoroastrians, etc.) ranked eleventh this year, all of our stu• Naturally any major national policy shift in their mathematical and scientific enter• dents and coaches did their best. We par• has an impact on the mathematics com• prise. The result was that the scholars there ticipated with a young and promising team munity, but in this case, the MAA will not absorbed the Greek and Indian corpus of of six Amencans who gave everything they alter its commitment to increase minority mathematical and scientific works and were capable of and were outstanding rep• participation in mathematics at all levels. went on to make significant advances in resentatives of our country. I am proud of As a colleague recently said, "This is not many fields. them all. Three of our six contestants will only the right thing to do, it's in our own also have the chance to participate in next The MAA's biggest effort has been via its long-term best interest." Members ofmi• year's IMO." SUMMA (Strengthening Underrepre• nority groups represent a rich resource of sented Minority Mathematics Achieve• The team was also accompanied by Pro• intellectual talent that has been substan• ment) program, whose main thrust has fessors Paul Zeitz (University of San Fran• tially underrepresented in our discipline. I been intervention activities. These are cisco) and Walter E. Mientka (University use the term "minority" to refer to the activities designed to strengthen the math• of Nebraska-Lincoln). minorities who have been historically ematical background of minority high underrepresented in mathematics, science, Here is a representative question from the school and junior high school students and and engineering, namely African Ameri• 19951MO. to motivate them to continue their studies cans, Hispanics, and American Indians. of mathematics in college and beyond. The Let p be an odd prime number. Find the The MAA has a parallel commitment to Carnegie Corporation of New York has number of subsets A of the set { 1, 2, ... , increasing the participation of women in funded sixty-three planning grants result• 2p} such that: mathematics, but in this column I am go• ing in the establishment of nearly forty ing to focus on minorities. (i) A has exactly p elements, and projects which now serve over 1300 stu• An ever increasing percentage of Ameri• dents each summer. The NSF has funded (ii) the sum of all the elements in A is cans are minorities. It is absolutely essen• the networking of new and existing inter• divisible by p. tial that they, as well as the rest of vention projects which currently serve over USA Mathematical Olympiad activities Americans, become mathematically liter• 36,000 students, 91 % of whom are mi• are sponsored by nine national associa• ate and have equal opportunities in the vast norities. These projects are tied together tions in the mathematical sciences with areas of American life that depend on through the SUMMA Consortium, which arrangements made by the Mathematical mathematics: science, engineering, medi• holds conferences to provide the opportu• Association ofAmerica. Financial support cine, business, etc. Indeed statistical think• nity for project directors to discuss mu• is provided by the U.S. Army Research ing and computers are impinging on just tual concerns, to share information on Office, the Office of Naval Research, about all aspects of our lives. This is a case funding possibilities, and, in general, to Microsoft Corporation, and the Matilda where the interests of minorities (who seek form regional and national networks. R. Wilson Fund. The American Mathemat• equal educational and economic opportu• SUMMA workshops, which are designed ics Competitions are sponsored by the nities) and those of society as a whole to help mathematicians write proposals for American Association of Pension Actuar• (which needs a well-informed and well• funding of new intervention projects, have ies, the American Mathematical Associa• trained citizenry) coincide. been conducted at meetings in twenty-six tion of Two-Year Colleges, the American of our twenty-nine sections. These have Likewise, increasing minority participa• Mathematical Society, the American Sta• been very successful in providing profes• tion in the MAA is in our own self-inter• tisticalAssociation, the Casualty Actuarial sional development opportunities that est. This will provide more viewpoints Society, the Mathematical Association of some faculty had not even dreamt pos• about the nature of mathematics and math• America, Mu Alpha Theta, the National sible. ematics education. Diversity of opinion, Council of Teachers of Mathematics, and outlook, and experience will enhance the Among other SUMMA activities and pro• the Society of Actuaries. vitality of the organization. For a histori• posed activities are (a) a collaborative of cal analog, see Victor Katz's interesting See President's Column on page 4

3 FOCUS October 1995 Letters to the Editor Dear Dr. Devlin, teacher refuses to grant me any extra time, Dear Dr. Devlin, and will not let me use a calculator. The The April FOCUS is the most pertinent I believe that there are thousands of stu• student services office says I must be my and significant of any I have read since I dents with stories similar to Melissa's. Let own advocate, and won't intervene." All began receiving it. I am copying and cir• me share a bit of my own. When I gradu• the talk of "pump" and not "filter" seems culating your editorial to my school's math ated from high school, I had just failed to be so much rhetoric. The fifties attitude faculty, administrators, and some psy• two years of mathematics. I had never been of "Look to your left, look to your right, chologists I know who specialize in learn• diagnosed with a learning disability. I sim• one of you will be out of the program by ing differences. FOCUS is generally not ply found the material to be boring and the end of the year" is still rife .... their usual reading material. unchallenging. This was because my Personally, I commend Melissa in her ef• teachers, like Melissa's, also made the ma• I suspect that at least half your readership forts, and her wise choice of parents as terial in the course nothing more than a will reject out of hand your premise that well as her wise choice of a college. And long list of uninteresting algorithms. I lost Melissa or anyone else can accurately be I welcome [you] to the company of all motivation as a result. described as talented in mathematics if she enablers. requires extra time on tests. I can para• Fortunately, the next year I was enrolled phrase your seventh paragraph ("How can Sincerely yours, in St. John's College of Annapolis, Mary• a teacher of freshman math get it so land. During my freshman year, I was re• Dave Connor wrong? .. ") A. G. came to me at Christ• quired to read Euclid's Elements. This Mathematics Teacher mas vacation, saying, "Uncle Dave (hon• book changed my life. I had never real• Christ Church Episcopal School orary), you gave me bad advice. My math ized that mathematics was an activity that Greenville, South Carolina

President's Column from page 3 mathematics departments at minority serv• the part of the organization, not just a neu• ticipation and representation of minori• ing institutions to focus on their strengths, tral stance of "all are welcome to partici• ties in mathematics-based fields. A major needs, and concerns. This includes pro• pate." The MAA sections are also aware focus of the last CBMS meeting in May viding technical assistance to implement of this. For example, the Southeastern was a workshop devoted to the develop• calculator-based curricular efforts in cal• Section has established its own commit• ment of a community-wide plan of action. culus and also mentoring efforts for mi• tee to minority participation. As part of a A report of the workshop, "An Action nority undergraduate and graduate strategic plan to increase minority partici• Plan for Strengthening Minority Partici• students to be established, in part, elec• pation, officers of the section personally pation and Achievement in Mathematics," tronically; and (b) a planning project, invited African American mathematicians will be out soon. jointly with and partially funded by the to attend, to be speakers, and to be session I hope this conveys some of the actions Bureau of Indian Affairs, to create a new chairs at their recent meetings. In addition that the MAA has taken to increase minor• vision of mathematics for all Bureau insti• they scheduleda panel discussion concern• ity participation. You can learn more about tutions and all tribal colleges. A major ing encouraging minority students in math• SUMMA activities by contacting focus is on the mathematics education of ematics and a SUMMA workshop. This SUMMA Director William A. Hawkins prospective teachers and teacher aides. combination of activities and efforts re• or SUMMA Director of Intervention Pro• sulted in greatly increased program par• The SUMMA program looks toward the grams Florence Fasanelli, at the MAA, ticipation and attendance by African future by helping to strengthen mathemati• 1529 18th St. NW, Washington, DC 20036- American students and faculty. I hope that cal education among minority students at 1358; e-mail: [email protected]; other sections will follow the Southeast• all levels. The MAA has also made [email protected]. You may also contact ern Section's lead. progress in increasing participation by David R. Scott (Department of Math, current minority members. For example The wider mathematical community University of Puget Sound, Tacoma, WA at the 1994 Joint Annual Meetings in Cin• shares our concerns about minority par• 98416; [email protected]) or Robert E. cinnati, there were fifty presentations by ticipation. The Conference Board of the Megginson (Department of Math, Univer• minority mathematicians; three years ear• Mathematical Sciences (CBMS), which sity of Michigan, Ann Arbor, MI 48109- lier there were only twelve. At the 1995 represents fourteen organizations, has es• 1092; [email protected]. winter meetings, there were five minority tablished the Task Force on Minority Par• umich.edu), co-chairs of the Committee governors in attendance as well as the first ticipation in Mathematics. The task force on Minority Participation in Mathemat• minority vice-president. has received a planning grant from the ics, which is the MAA committee provid• Carnegie Corporation of New York to ing guidance for SUMMA activities as The successes described above are due to study how the member organizations can well as other related activities in the MAA. a policy of active recruitment of minority initiate and implement indi vidual and col• leadership talent. To increase minority Ken Ross laborative activities to increase the par- participation requires positive action on 4 October 1995 FOCUS equally taxed the faculties of imagination class was divided into the "smarties" and 1994 Annual AMS-IMS• and logic. I was particularly influenced by the "dummies," and he was put in the Chester Burke, my tutor for freshman "dummies," of course. The reason: he MAA Survey Highlights mathematics at St. John's-professors at could do geometry well (no writing nec• The Second Report. published in the Au• St. John's are called tutors. The semantics essary) and geometry was the subject for gust issue ofthe AMS Notices. deals with reflects the role they play in the student's the "dummies." This shows that your case enrollments andfaculty characteristics. education. He allowed me the freedom to is certainly not unique (no surprise, of and provides an update on new doctoral study the material in my own way. He also course). recipients as of fall 1994. The report encouraged me to do quite a bit of explor• In any case, I'm very pleased that you was compiled by John D. Fulton. ing on my own. I don't think the experi• wrote the editorial and brought the subject The final (spring) count of new doctoral ence would have had as dramatic an effect to the fore. It's important not to waste tal• recipients shows a total of 1076 in the without his influence. ent. mathematical sciences, awarded by U.S. I am now within a month of receiving my institutions in the period July 1, 1993 Cheers, Ph.D. in mathematics from George Wash• through June 30, 1994. This represents a ington University. Michael Doob decrease of 11.4% from the all-time high University of Manitoba of 1214 in 1970-71 and 1992-93. The There were many other students at St. Canada proportion of the 1993-94 doctoral re• John's who were also turned on to math• cipients who were women declined from ematics in this way. Even though few of Dear Dr. Devlin, 24% last year to 22% this year. them went on to pursue graduate degrees in the subject, they all gained an apprecia• I read your editorial in the April issue of The final count shows 473 U.S. citizens tion of its nature. This appreciation is not FOCUS magazine, and I want to let you among the 1076 doctoral recipients. found in most ofthe public. I think this has know I could easily replace your name as While the number is down from the 532 resulted in a considerable amount of popu• author with mine. I agreed with your ar• last year, the percentage of U.S. citizens lar disrespect for our profession. ticle one hundred percent. I have a daugh• among the new doctoral recipients re• ter named Melissa also, who is a tenth mained constant at 44%. Tim McNicholl grader and who is very bright in school. In George Washington University Recruitment of new faculty showed a de• particular, she has a very good understand• Washington. DC crease for the fifth year in a row. The ing of mathematics, but she is experienc• decline of 1.8% in positions under re• P.S. Go, Melissa, go! ing frustration due to the type of cruitment by mathematics departments mathematics instruction she is getting and in 1993-94 is approximately half the de• Dear Keith, the arrogant behavior of her mathematics cline recorded the previous year. The cu• I received the April FOCUS today and was teacher. mulative effect of the five-year decline translates into recruitment for almost quite struck by your article about Melissa. I have had many discussions with her high one-third fewer positions in mathemat• I have a son with a similar situation: it is school teacher, but my discussion has not ics departments in 1993-94 than in 1989- excruciating to watch him write as he la• had any effect. Assessment of my 90. boriously produces one letter at a time. daughter's understanding of mathematics He has just completed his first year here at is an issue that deeply concerns me, but I, Final counts indicate that the unemploy• the University of Manitoba. After some too, am a mathematician and do not wish ment figure for 1993-94 new doctoral testing it was found that he processes in• to appear too pushy in solving this prob• recipients represents a new record high formation at about half the normal rate, lem. Since reading your article, I have rate of 10.7% at the time of the spring and was consequently given double time wondered how many others are experi• update of employment status. In addi• on his exams. What a difference-it is the encing the same thing. tion, 4.4% of the new doctoral recipients took part-time employment. first time that he has been able to look over I think it is time to address this problem at an exam after completing it rather than the national meetings. Perhaps it should The number offull-time faculty in math• plunging headlong to get it finished just be discussed at the national meeting in ematics departments decreased slightly. before it is to be handed in. Previously the Orlando, Florida, in January of 1996. It is The number of untenured. tenure-track, problems attempted were chosen by the an issue whose time has come for a much doctoral faculty decreased by 3.3%. The expected time to get them on the paper, needed discussion. number of non-tenure-track, full-time. not the ability to analyze the problem. This doctoral faculty increased by 9.5%, while must sound very familiar to you. Sincerely, the number of part-time faculty increased by 2.6%. The good news is that he just finished the David Green. Jr.. Ph.D. term and received an A in every subject Professor ofMathematics and Department The total number of full-time. first-year (actually A+ in Linear Algebra). The rea• Head graduate students in Ph.D.-granting son I bring all of this up is that when we GMI Engineering & Management mathematics departments declined 3.5 % were living in England and he was in Institute from fall 1993 to fall 1994 after a 7.2% middle school (grade 4 in the U.S.), the Flint, Michigan decline from fall 1992 to fall 1993.

5 FOCUS October 1995

for decades welcomed and employed many ditionally hires people from other disci• Myths in Math mathematicians, engineers, and scientists. plines to do this mathematics. Until we Displaced, highly qualified, mid-career educate large numbers of mathematics Charles E. Mannix, Jr. and individuals are entering the civilian students appropriately (as scientists, and Kenneth A. Ross economy on both sides of the (former) iron not just thinkers) for R&D positions in curtain. For thousands of them, their op• industry, those hiring patterns won't There are many myths about mathemat• change. ics. Some people believe that only gifted tion will be to compete with new gradu• people can learn mathematics, that math• ates for teaching positions at all State college systems are largely built ac• ematics is only for boys, etc. This article educational levels. Overall, this is a healthy cording to optimistic expansion plans of is concerned with myths in mathematics. development because mathematics has al• the 1960s and 1970s. Thus few or no new ways been a worldwide activity that has sites or major expansions at old campuses The December 5, 1994 issue of Newsweek largely ignored artificial national bound• can be expected. Worse, the equivalent of included an article titled "No Ph.D.s Need aries, but there's no denying the impact on corporate downsizing is occurring in Apply." It discusses The Myth, which took the current and future U.S. job market. academia. Budget cutbacks to state col• hold in the 1980s, that the nation would Our world is increasingly international. lege systems have removed fat; ongoing face a shortage of scientists in the 1990s. annual reductions are having a serious Notices readers have seen several articles Worldwide economic competition is forc• ing downsizing on most high-tech and even impact on vital programs. In many places, in 1994 and a recent February 1995 edito• present faculty and staff positions are more rial on the Myth's practical impact on traditional American employers. Much de• tailed design, which creates new openings likely to be cut, not replaced, when va• today's young mathematicians seeking cated. Another aspect is a growing back• career employment. for U.S. mathematicians and engineers, has followed offshore manufacturing. log of campus-wide deferred projects that A related myth in mathematics, which we More scientific cooperative efforts, an• will need funding when, and if, budgets hear every so often, goes something like other good thing, also lead to fewer tech• ever increase. These are all arguments for this: "Jobs were tight in the early 1970s nologists in anyone country. The fiscal, a long lag before any substantial hiring and then the market improved. It's a cy• political, and scientific pressures to col• occurs in mathematics departments. clic business and the market will get bet• laborate are rising in areas from space Most tenured faculty today are in mid-ca• ter again soon." Many of us no longer have research to high-energy physics. reer or older, but not eager to retire. It is faith in this myth, for reasons we will ex• unlikely that they will transfer elsewhere plain below, and we believe that mathemat• A technological productivity and effi• ciency revolution is affecting routine math• and leave vacancies which ripple down to ics departments should reconsider their create tenure-track slots for new Ph.D.s. It missions. In particular, they should con• ematical and scientific work just as the industrial revolution affected manual la• has been suggested that their anticipated sider downsizing their graduate programs retirements will create a wave of new and reexamining the education provided bor. Many common, time-consuming, analytical tasks which gave employment positions adequate to eliminate unemploy• in graduate school so that it more closely ment if only we wait. We agree that pro• fits the reality of what our graduates will especially at the entry level, now are ac• complished using very powerful and effi• jected retirements will have some be doing in the future. Some Type I uni• influence, but it will fall far short of a one• versities, such as MIT and the University cient utility software developed to a mature state. Consider the numerous symbol for-one replacement of a tenured retiree of Michigan, have already started this pro• with a tenure-track hire. Present and pro• cess. manipulators, numerical analysis algo• rithms, statistical data packages, and jected numbers of undergraduates annu• Many long-term economic, political, aca• graphical products on display at the Joint ally obtaining mathematics diplomas are demic, historical, and technical issues in• Annual Meetings in January 1995. These substantially below the plateaus estab• dicate that the current downturn in greatly speed lengthy calculations yet most lished two or three decades ago. Since large full-time tenured employment of new do not require their ordinary user to pos• numbers of math majors and first-year young mathematicians is not likely to be sess unusual mathematical talent. Note too, graduate students help in justifying math reversed in the next decade. Even though fewer mathematicians are "needed" to department staffing levels, there will be you are aware of them individually, itmay write and develop classical applications fewer actual tenure-track openings created be useful to consider them in totality and programs from scratch. Packaged or eas• than some people expect. ponder their impact on mathematics. Our ily modified codes now exist in fields rang• None of this is helped by the shrinking purpose is to state our reasons for our views ing from orbit mechanics to finite element percentage of the American student body without claiming to own a crystal ball. modeling. This software maturity results who elect to take upper-division majors in First, the abrupt end of the cold war elimi• in completion of complex designs like the the analytical disciplines. Related to this nated many compelling requirements for Boeing 777 with a smaller but more effi• is the trend to reduce analytical course advanced R&D along with the organiza• cient technical workforce. This touches work requirements in non-math degree tions and staff supporting weapons devel• another myth, namely that business and programs. Many academic scientists and opment. Sizable rollbacks now exist at industry can absorb unlimited excess Ph.D. engineers feel that advanced mathematics national labs and high-tech aerospace, production. While there is much math• is best learned in the context of their dis• electronic, and design companies which ematics to be done out there, industry tra- cipline; thus much of what was tradition-

6 October 1995 FOCUS ally provided by mathematics departments Another myth is that the situation could in standard calculus of several variables. has gravitated to those disciplines. Where be dramatically improved if national atti• The net result is that physicists and chem• other degree programs do need math, more tudes and governmental priorities quickly ists are teaching these things more ab• mathematics is being taught within those changed. The feeling that "Science helped stractly and thoroughly than most programs. Many business schools, engi• win World War II" transferred to the pub• mathematics departments. The future of neering schools, and other math-utilizing lic the notion that science would help win mathematics may depend on whether the departments now have their own calculus, the cold war too and help the country in emphasis is on concepts and insight or on statistics, quantitative methods, and ap• other ways. Now the average citizen no Bourbaki-like formalism and proof. This plied mathematics courses. longer ranks pure mathematical research doesn't mean that proof is dead, just that as a top national concern. Not only that, a insight needs to playa more important role. Other situations in academia translate to diploma in a technical field, as we under• Successful careers in practical life often problems for mathematics departments. stand the term, is viewed by fewer Ameri• require conceptualization and abstraction Within static or shrinking outside income can "families" as a compelling dream to of the essential problem without the usual sources, universities and colleges must fos• be pursued and a worthy cause on which list of clearly posed questions at the end of ternew disciplines: biotechnology, genetic to sacrifice substantial amounts of money. the textbook's chapter. The majority of our engineering, and telecommunications, to With truly rare exceptions such asAI Gore, future graduates must be professionally name a few. Increasing overhead costs (Le., leaders of national prominence do not adroit and flexible over a lifelong career, support staff, pensions, and insurance) en• possess an agenda of technical excellence because they will have to cope with many courage the trend to hire postdocs and part• in the analytical sciences. In addition very uncertain conditions of excess, insuffi• timers. Costs for repairs, materials, and small numbers of new Ph.D.s have entered cient, or conflicting theories and data, often labor to maintain the operation and up• government at any level to become future without adequate time for contemplation. keep of the physical plant at publicly sup• role models and voices at the table when ported institutions are accelerating faster Next let's be honest with our students very budgets, priorities, and hires are being than the tax base and state support. A ris• early on. Their roles as TAs and RAs, their established. ing percentage of every dollar allocated to peers, faculty impetus, and the present re• colleges goes to worthwhile compliance Where does this leave us? First let's ac• ward system create a mindset that the only costs for accounting to funding agencies, knowledge the accumulating evidence that quality careers are in academic teaching enforcing equal rights laws, enabling the the present traditional program leading to and research. Graduate students need to Americans with Disabilities Act, safety aB.S., M.S., orPh.D. in mathematics does realize that their prospects for satisfying laws, etc. It is no wonder tuition fees, room not produce highly marketable skills cen• academic careers in research institutions and board, and other student expenses are tral to the "hot" growth disciplines in the are dim. Their love of mathematics will rising much faster than inflation, which peacetime global economy. We have been have to be the main motivation for pursu• traditionally outpaces middle-income fam• training students to understand the detailed ing an enriching intellectual experience in ily earnings. As these attendance costs intricacies in a specific set of problems, graduate school. Graduate work in most spiral upward, an increasingly larger part but failing to educate them on the poten• mathematics departments is no longer an of our population will be denied access to tial broad relevance of the contributions apprenticeship program in which talent a traditional four-year college education, our discipline can offer to the solution of and hard work almost surely will lead to a especially ifthe government cuts back on those problems. The research and devel• satisfying career in mathematics. Future student support. The trend will be towards opment world seeks creative researchers graduates from our programs will need the ever smaller departmental enrollments and and implementors with the flexibility to breadth and flexibility to assimilate new not for substantial numbers of new ten• adapt techniques and ideas to new con• bodies of knowledge and to attack prob• ure-track entry level positions. texts. The sad irony is that sophisticated lems in a wide range of settings. mathematical skills, but not traditional The unemployment situation facing young In short we need to take professional moral mathematicians, are often needed in pre• people in mathematics is far worse than responsibility for the present gap between cisely these disciplines. dismal unemployment statistics for any the eight hundred or so Ph.D.s that enter single year's class suggest. Consider the In both education and the industrial high• academia yearly and the five hundred or invisible "unemployed." There is already tech workforce, people not trained as math• so ultimately lucky enough to obtain per• the equivalent of several years' annual ematicians are doing mathematical work, manent positions, and take the necessary Ph.D. production embedded in the wood• often quite successfully. This phenomenon steps to close the gap. work of U.S. colleges and universities as is the legacy of a long and profound fail• There is likely no one single answer to this postdocs, part-time faculty, adjunct fac• ure of mathematicians to communicate employment problem. A spectrum of ulty, and, of course, the actively unem• with other groups. For example, many changes and reforms will be needed to im• ployed. This accumulation vigorously mathematicians believe that engineers and prove the situation. We doubt that indus• competes with any current year's gradu• scientists are only interested in the formu• try can absorb the excess Ph.D. production, ates for the annual pool of available full• las and not the theory of calculus. How• and a long time must be allotted for some time tenure-track openings. At current ever, anyone who takes physical chemistry rooted attitudes to change. Surely we must hiring levels, it would take some years to or thermodynamics needs to understand encourage all realistic, sensible attempts absorb this backlog even if all Ph.D. pro• the chain rule and implicit function theo• duction suddenly ceased. rem at a much deeper level than is taught See Myths on page 8 7 FOCUS October 1995 Myths from page 7 MAA Math History to increase suitable opportunities in in• Thus we badl y need to reexamine our goals dustry, government, and academia. Re• and purposes, our definitions and require• Institute Begins search scientists and engineers, even ments. Of course any downsizing and other investment counselors, increasingly need changes must be done most wisely and The MAA is sponsoring the Institute in the more and more sophisticated mathemat• humanely. The net result ought to be higher History of Mathematics and Its Use in Teach• ics. They make do now with self instruc• quality students who really want to be ing. Co-directors Victor Katz (U niversity of tion, but only mathematics departments mathematicians and who have an educa• the District of Columbia) and Fred Rickey can provide an integrated concept-based tion that meshes with the challenges of the (Bowling Green State University) are pre• paring participants to teach an undergradu• instruction which produces versatility in next century. ate course in the history of mathematics and use ofthe knowledge. We must understand This article also appeared in the August to incorporate historical issues in their teach• that it is insufficient just to say this. We issue ofthe AMS Notices. A shortenedver• ing. The first three-week summer session must structure many of our offerings so sian appeared in the August J J, J995 is• was held June 5-23 at The American Uni• that non-mathematicians will place suffi• sue ofthe Chronicle of Higher Education. versity. cient premium on such courses that they During the coming academic year, partici• routinely become part of their curriculum. Charles Mannix is an engineering math pants will be encouraged to teach a course in This leads directly to the necessity of re• modeling/simulation consultant. the history of mathematics, continue research examining the size and content of our Ken Ross is a professor ofmathematics at on historical topics, and present to next year's graduate programs. These of course are the University of Oregon and is president summer session. related, and are determined by our con• oftheMAA. Funding for the institute is being provided ception of where our students are going. by the NSF's Division of Undergraduate Education's Undergraduate Faculty En• hancement (UFE) program. Sloan Foundation Gives Two Grants to SUMMA A second group of forty participants will be The Alfred P. Sloan Foundation recently Contact MAA SUMMA Program, 1529 chosen to participate during 1996 and 1997. awarded the MAA two grants for its 18th Street NW, Washington, DC 20036; For more information, contact Fred Rickey SUMMA Program. The first for $27,150 (800) 331-1622 or (202) 387-5200; fax: at (419) 372-7452 or Victor Katz at (202) was awarded in February to fund an ar• (202) 265-2384; e-mail: summa@maa. 274-5374; or preferably bye-mail: chival record of minority Ph.D.s in math• org. [email protected] or [email protected]. ematics or mathematics education and an The second grant for $30,000 was awarded associated directory of minority mathema• in July to conduct a survey of minority Senate Hears JPBM ticians. With permission, each citation will mathematics graduate students. With col• contain educational and career informa• laboration from the National Association tion, brief biographical data, and pictures. Testimony of Mathematicians (NAM), the results of James Crowley, executive director of the Informal inquiries by Florence Fasanelli this survey will inform the mathematics Society for Industrial and Applied Math• and other SUMMA staff had generated community of the location and needs of ematics, testified on behalf of the Joint Policy partial information on more than three the students to facilitate establishment of Board for Mathematics before the Subcom• hundred minority U.S. citizens who had an electronic mentoring network. Profes• mittee on Defense of the Senate Appropria• earned the doctorate since the first was sors Gloria Hewitt of the University of tions Committee on July 18. In his statement awarded to an African American, Elbert Montana and Bettye Anne Case of Florida Crowley urged the subcommittee "to recog• Frank Cox, in 1925 at Cornell University. State University are consultants for this nize DOD's investment in basic research at Through the grant, that number has been project. Questionnaires will be mailed universities as an integral and foundational increased to more than four hundred, a during the fall semester. component of R&D efforts undertaken to relational database has been implemented, meet the nation's defense needs, and to pro• Unfortunately no complete national sur• and many gaps filled. Lois Folsom, former vide full funding for that investment, which vey of minority mathematics graduate stu• co-director of the New Mexico Fellows enables DOD to employ the brightest re• dents has ever been conducted. Building for the Advancement of Mathematics searchers and the latest discoveries in pur• on their combined experience, the MAA Education, is the coordinator for this suit of its R&D objectives." Crowley cited and NAM plan to survey African Ameri• project. a number of examples where research in the can, Hispanic, and American Indian stu• mathematical sciences has solved key de• If you know of any minority professional dents. The major goal of this project is to fense-related problems and is leading to who holds the relevant Ph.D., please con• increase retention and degree completion marked improvements in u.s. defense hard• tact the MAA with this information. This for minority graduate students in math• ware and capabilities, including precision• is especially warranted if the person is ematics by gathering the fundamental in• guidance systems, stealth technology, now deceased. Living minority mathema• formation needed to understand how to surveillance, and logistics. ticians or mathematics educators who combat the isolation in which most find The text of the full statement is available wish to be included should send a resume. themselves. from the JPBM by calling (202) 234-9570.

8 October 1995 FOCUS

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9 FOCUS October 1995 To Challenge with Compassion: Goals for Mathematics Education Lisa A. Mantini let alone sitting at a terminal, practically out in any case. immobilized me. When I did ask ques• It took me the Remarks on receiving the MAA's 1994 tions, the answers were often brusque and longest time to Awardfor Distinguished College or Uni• unintelligible, typically missing some get her to take versity Teaching of Mathematics. San critical detail such as "You must type her socks off and Francisco. California. January 1995. Control-T before the screen will respond." switch feet! But I was once asked on a job interview why Of course, I did occasionally manage to I think I eventu- I like to teach. I answered without hesita• conquer my fears after midnight since that ally managed to convince her that geom• tion that it must be because I am the oldest was when the games, including' Adven• etry is everywhere. ture,' were turned on. But if my husband of five children. As a child. I loved to plan When I'm not thinking of myself as a music hadn't bought a terminal and modem for games and activities for my sister and teacher, I think of myself as an athletic home use just after I graduated, so that I brothers. As an adult, I enjoy working with coach demanding lots of hard work and could play around with the system in pri• students and making them think, leading regular effort from my students and chal• vate and unobserved, I might never have them to new discoveries, and occasion• lenging them to push themselves and to learned anything about computing. ally making them laugh. For me, standing reach for difficult goals. Before each se• in front of a room full of people and telling Attitudes as a Professor mester, I plan an ambitious weekly sylla• them what to do is like heaven on earth! bus. I push my class to accomplish our So what has all of this taught me about In my younger days I had many successes weekly goal even ifthis means going some• good teaching? The first thing is to have as a student, as you might expect from a what faster than what is comfortable for respect for all those who are trying to learn future professor, and I certainly learned a the students, and I always assign plenty of new things, regardless of their current level lot of mathematics. But I probably learned homework to help them learn. I try to in• of knowledge. I think of my role as being the most about teaching during the times sist on real understanding of the material, like that of a music teacher who praises when I was least successful as a student. and never consider rote calculations as an and encourages all of her students, not just Here I hope to share some of these in• end in themselves. I also do not shy away the most talented, because she Itnows that sights with you. from difficult topics or theoretical expla• an appreciation of music benefits every• nations. I tell my students that their minds Experiences as a Student one. In the same way, I believe that all are like a pizza. By pushing to extend the students, even those who will not pursue boundaries of what we can understand and As a student, I certainly had times when I technical careers, benefit from an im• what we can do, we eventually reach our struggled to understand a new mathemati• proved knowledge of mathematics. A more goal, just as the pizza dough eventually, cal concept. My difficulties typically oc• mathematical way of thinking can lead to with enough pushing, stretches out to fit curred at a different level from those of improved problem solving skills, to better the pan. my students, but I can still identify with facility with logical reasoning, orto a better their struggles. I also was not well-disci• geometric intuition. In planning lectures, I try to put myself in plined when I was young, and sometimes the student's place so that I can under• was a bit of a procrastinator. I can sympa• For example, my college roommate was stand the level of detail that they need in thize with a need for an external source of very intelligent and an excellent student, order to comprehend what I'm doing. discipline on one's work habits. Lately I but she was an English major who avoided Once, for example, an accomplished pro• have my two children to thank for helping studying mathematics once she graduated fessional woman who was studying col• to make me much more disciplined than I from high school. I remember that it was lege algebra told me that she could not used to be, or else I would never get any• my job to unpack the groceries when we understand how to factor the expression went shopping, especially as the layer of thing done! 6x2 + x to get 6x(x + .!.), despite her ice in the freezer grew and grew, making 6 But perhaps most importantly, I have a it increasingly more difficult to figure out husband's help on her previous evening's personal perspective on the anxiety some how to arrange all the meat to fit in there. homework. I told her that I had inserted a of our students experience when trying to 6 in front of the x, in order to be able to learn mathematics. When I was in gradu• One day I saw her wearing socks with holes factor it out with the x, and then had to ate school, the only way to access a com• so large that both of her big toes were poking out. I asked, "Isn 'tthat uncomfort• insert a factor of .!. to compensate. She puter was to use one of the terminals in a 6 large room in the basement of the Science able? Wouldn't you be more comfortable was delighted, and told me that she was Center. This terminal room, however, was wearing the holes by your little toes in• planning to scold her husband for holding crowded, noisy, and full of men speaking stead of the big ones?" (We were broke, so out on her! What I perhaps shouldn't say a language I mostly didn't understand. The buying new socks wasn't an option.) She is that her husband is a mathematician. said that it didn't matter how she put on thought of even walking into that room, How do I figure out the class's level to her socks because her big toes would poke 10 October 1995 FOCUS know how to pitch my lectures? By read• bravado of some of the other (male) stu• In devising a research project appropriate ing their work, of course, and by getting dents in the common room. for undergraduates, I first examined my them to talk to me. I always try to ask lots own research for special cases of ques• In fact my experiences in graduate school of questions and to get my students to come tions whose answers interested me. I converted me to feminism. As an under• up with the answers. I like to have a class looked for questions which, after being graduate, I scoffed at this notion of the help me fill in the details in examples. Then pared down to their essential cores, were lack of female role models in mathemat• I get the class to figure out the general reduced to questions in algebra, linear al• ics and I thought women who complained pattern based on the examples. Not only gebra, or calculus. I also looked for topics about it were just whining. But I learned does this method help me to learn how which could be approached by searching from my thesis advisor, Michele Vergne, they see the subject, it helps them to really for a general pattern after first calculating what having a role model can mean. It was master it. I also encourage students to come lots of specific examples. only after beginning to work with her that to office hours, and I usually schedule a I could imagine what I might be doing five one-hour homework session for each class Special Projects or ten years down the road. I had never that I teach. I have been known to sched• been able to envision this before-I had In my role as undergraduate director, I ule individual appointments with each stu• been blindly following a path that others developed several projects during the last dent in a class in order to get them over the set me on, one foot in front of the other, few years which were designed to improve fear of coming to my office. without being sure where it would lead. our undergraduate recruitment and instruc• But my most important goal as a professor What a relief! tion. is to provide a supportive environment in On Research The OSU High School Mathematics Con• which all students can try to reach their test is a competitive scholarship exam full potential. Studies such as Uri I think that research experience is one of modeled after the Putnam Exam and taken Treisman 's at Berkeley show that students our most valuable tools for training our by high school juniors and seniors from need support from others like themselves students to think independently, to master throughout the state of Oklahoma. The in order to accomplish difficult goals. I basic skills, and to develop self-confi• students seem to enjoy working on chal• encourage my students to form study dence. I have guided research projects at lenging problems, and OSU has recruited groups, and I pass out a list of names and both the Master's and Ph.D. levels. But some top math majors as a result. The addresses of members of the class in order after having directed undergraduate senior contest has almost doubled in attendance to help them do this. Participation is op• honors theses and an NSF-funded Re• during each of the four years of its exist• tional, but most students do participate. I search Experience for Undergraduates ence. try to show my own enthusiasm for the (REU) program, I am convinced that un• The Undergraduate Handbook was de• mathematics we are studying, hoping that dergraduates also benefit greatly from signed to give our majors more informa• my excitement can help motivate others appropriate research experience. Through tion on courses of study open to them, on to learn. I also like to include historical research, students begin to ask their own career options for math majors, and to anecdotes and applications that can help questions and to take responsibility for provide profiles of some of our past ma• make the mathematics come alive. Per• their learning. They experience the jors. haps most importantly, I dish out lots of interconnectedness of mathematics as they praise and compliments, when merited. use techniques from many different fields Information on both projects may be ac• As an undergraduate, encouragement from to solve a single problem. They also learn cessed on the WorldWide Web at the OSU two of my professors was instrumental in to express themselves through written re• Math Department's Home Page, http:// my decisions both to major in mathemat• ports and oral presentations of their re• www.math.okstate.edu. ics and to attend graduate school. Even sults. the best students benefit from acknowl• Lisa Mantini is an associate professor at edgment of a job well done. Oklahoma State University. On Being a Woman Luckily women today are not always in the minority in mathematical circles like Happy Birthday Southern California Section they are on most of our mathematics fac• This year marks the seventieth anniversary of the founding of the Southern California ulties. The undergraduate math majors at Section of the MAA. In celebration the Northern California Section will join the South• Oklahoma State and at some other large ern California Section for a special joint meeting at Cal Poly University in San Luis institutions are more than half women now. Obispo, October 20-22. But when I was a student I was much more isolated. Being able to collaborate with The scientific program for the meeting offers a host of attractions. MAA Associate other women in my classes always meant Executive Director Don Albers will give a talk titled "Bringing Up Baby," with other a lot to me. But it also helped to have the invited addresses given by Tom M. Apostol, Judith V. Grabiner, Ronald L. Graham, and support of other women when faced with William P. Thurston. David H. Carlson will moderate a panel discussion on the evalu• sexist comments, off-color remarks, or the ation of instructional innovations, with panelists Jane M. Day, Mario U. Martelli, Patrick W. Thompson, and Joanne R. Becker.

11 FOCUS October 1995

Previous SUMMA awardees have been Fourteen Awarded Carnegie Planning Grants very successful. Of forty-nine through 1994, thirty-four have been funded, and In May, fourteen college and university College (Mississippi) eight of the remainder recently submitted faculty received $50,000 in SUMMA Nagalingam Balakrishnan, United Tribes proposals for funding. Funding sources Small Grants from the MAA to assist them Technical College (North Dakota) have included the very competitive Young Scholars and Summer Science Camps pro• in the design and implementation of math• Jon Cruver, Haskell Indian Nations Uni• grams of the NSF; the Department of ematics-based intervention projects serv• versity (Kansas) ing underrepresented minority middle and Energy; and NASA. The Carnegie funds Telahun Desalegne, Florida Memorial high school students. This was made pos• (which will total $1.05 million over six CoIlege sible through a third two-year grant of years including $250,000 in Small Grants) $376,000 to the MAA from the Carnegie Joe Fang, Lac Courte Orielles Ojibwa so far have leveraged more than $8.2 mil• Corporation of New York (see the April Community CoIlege (Minnesota) lion in support for new projects. SUMMA 1994 issue of FOCUS). The total number Michael Felland, Clarkson University staff continue to assist in securing funding of SUMMA awardees is now sixty-three. (New York) for many mathematicians who did not The new awardees attended the National Jane Friedman, University of San Diego receive SUMMA Small Grants. Invitational Training Conference in (California) During the summer, 1700 minority stu• Burlington, Vermont, August 3-4, to dis• Rahim Karimpour, Southern Illinois Uni• dents participated in SUMMA projects. cuss project design and learn proposal• versity at Edwardsville These students and thousands more in writing techniques. Rodney McNair, Vanderbilt University similar mathematics-based projects will All kinds of institutions and regions of the (Tennessee) have an opportunity for mathematical country are represented. In addition to Eric Muller, Brock University (Canada) enrichment that would have been impos• seven majority institutions, three histori• Zephyrinus Okonkwo, Alabama State sible without the interest and concern of cally Black colleges, one Hispanic serv• University the awardees and many other mathemati• ing institution, and three American Indian Tae Soon Park, National Hispanic Uni• cians. While we have only begun to en• colleges (two of the two-year colleges) versity (California) sure that each student has access to exciting received grants. Congratulations to the mathematics early in his or her academic Arlo Schurle, University of Guam 1995 awardees: career, a number of mathematicians are Agnes Tuska, California State University, addressing this issue of concern to the long• Hendrik W.K. Angad-Gaur, Tougaloo Fresno term economic health of the nation. Proposed Bylaws Revision Postdoctoral At the Burlington meetings in August, the The second sentence of Section 2, which Science Fellowships Board of Governors approved a proposed reads: "Should the annual dues of any revision oftheAssociation's Bylaws. This member remain unpaid beyond a reason• The Mary Ingraham Bunting Institute of proposal originated with the Budget Com• able time, that member shall be dropped Radcliffe College, a multidisciplinary re• mittee and was subsequently approved by from the list after due notice," would re• search center, offers fellowships for the Executive and Finance Committees. main unchanged. Article VIII, Section 3, women scholars, scientists, artists, and The object of the revision is to achieve which reads: "New members entering the writers. Office space, auditing privileges, economies in handling renewals of mem• Association after April I of any year may and access to libraries and most other re• bership. At the present time, all member• have their dues prorated for the balance of sources of Radcliffe CoIlege and Harvard ships run from January to January. the year, except when they desire to re• University are provided. Residence in the Processing of renewals would be more eco• ceive the full current volume of a jour• Boston area and participation in the Insti• nomical if the work load could be spread nal," would be deleted under the proposal. tute community are required during fel• throughout the year, making a renewal due The current Section 4 (concerning dues lowship appointment. Applicants must roughly on the anniversary of the for retired members) would be renumbered have held the Ph.D. or appropriate termi• member's joining the Association. The Section 3. nal degree for at least two years prior to Board therefore proposes that the first sen• appointment. Stipends are $34,200 plus This notice constitutes official notifica• tence of Article VIII, Section 2 of the By• $3000 in research expenses for an eleven• tion to the membership that this Bylaws laws which now reads: month appointment, September 15, 1996 change will be brought to the membership through August 15, 1997. The application "All dues shall be payable on the first of at the Association's Business Meeting in deadline is October 15, 1995 (post• January of each year." Orlando in January 1996. marked). Write or caIl for an application: be changed to read: 34 Concord Ave., Cambridge, MA 02138; (617) 495-8212; e-mail: bunting_ "All dues shall be payable annually." G.L. Alexanderson, Secretary See Postdoctoral on page 13

12 October 1995 FOCUS Search for Editor of MAA Online Candidates Sought The Mathematical Association ofAmerica out the other responsibilities described is searching for an Editor ofMAA Online, here. for New Position at a tentative name for the future state of an 3. The Editor will, in consultation with electronic publication, via World Wide MAA Headquarters the Committee on Electronic Services, Web and other Internet services, to serve set editorial standards for MAA Online The MAA has established a new posi• the needs of the MANs membership. In and be responsible for adherence to tion in its Washington, DC Headquarters addition to characteristics of a print pub• these standards. Office for an experienced mathematician lication, it is expected to have at least the or mathematics educator. The incumbent following features: 4. The Editor will decide what informa• tion should be published and will com• will serve as an Associate Executive • time-critical information, e.g., reviews municate with the Committee on Director and as Director of a new De• of software (including demonstrations) Electronic Services concerning ques• partment of Member Services & Pro• and print media tionable cases and matters of policy. grams. This department provides support for a number ofongoing MAA programs • interactivity, e.g., a frequently updated 5. The Editor will be on the alert for new including SUMMA, Women & Math• response forum technology that can improve electronic ematics, Career Information, Student • dynamic presentations, e.g., live graph• communication within the mathemati• Chapters, and Sections. Expansion of ics, interactive demonstrations of cal community, especially through professional development activities will coursework MAA Online. be a central focus of this position. The director's work is carried out in coop• • articles on subjects of interest to the 6. The Editor will report to the Associate membership, possibly including elec• Executi ve Director and to the Commit• eration with MAA officers and commit• tees and with MANs new Marketing and tronic versions of articles that also ap• tee on Electronic Services quarterly, Development Departments on new pro• pear in other publications and more often when needed, to keep them apprised of activities and to seek grams, member services, and projects. • easy accessibility to a wide variety of their advice. Candidates should have strong commu• information sources by means of point• nication skills, oral and written, and ex• ers Applications and Nominations tensive knowledge of the interests, Nominations forthis position are welcome • an appealing and inviting format concerns, and needs of the groups the from anyone; please send complete name MAA seeks to serve. Administrative or • a rolling schedule for updating, replac• and address of nominee. Applicants should management experience and fund rais• ing, and archiving information already send a vita, names of references, a brief ing experience are desirable. A Ph.D. in published statement of their vision for the evolution mathematics or mathematics education, of MAA Online over a three-year term, The MAA will provide support for the or its equivalent, is required. and any other relevant supporting infor• Editor by paying for partial release time mation. Appointment is expected early in and appropriate secretarial and technical Interested candidates should send or fax 1996 for a term of three years to begin in ( 1) a letter describing their background assistance. June 1996. Applications and nominations and qualifications; (2) a curriculum vi• Duties of the Editor of MAA Online should be submitted by November IS, tae; and (3) the names of at least three I. The Editor will work toward fully de• 1995 to references to: Dr. Marcia P. Sward, Ex• veloping the MAA electronic publica• ecutive Director, Mathematical Asso• David A. Smith, Chair, Search Commit• tion tentatively named MAA Online. ciation of America, 1529 Eighteenth tee for Editor ofMAA Online, Duke Uni• Street, NW, Washington, DC 20036; 2. The Editor will recruit and recommend versity, Box 90320, Durham, NC fax: (202) 387-5948. for appointment a panel of volunteer 27708-0320; e-mail: [email protected] Associate Editors to assist in carrying The deadline for receipt of applications is November 15. Interviews of finalists Postdoctoral from page 12 will be conducted at the Joint Mathemat• ics Meetings in Orlando in January 1996. fellowships@radcliffe. harvard.edu. neering, geology, materials science, math~ ematics, physics, naval architecture and The desired start date for the position is The Science Scholars Fellowship Program ocean engineering, oceanography, and all June I, 1996, but some flexibility is pos• (funded by the Office of Naval Research; fields that relate to the study of oceans. sible. Salary will be based on the expe• applicants must be U.S. citizens) is open The Biomedical Research Fellowship Pro• rience and skills of the candidate. to women in the fields of astronomy, mo• gram (funded by the Burroughs Wellcome lecular and cellular biology, biochemis• The MAA is an Affirmative Action Em• Fund; applicants must be U.S. citizens or try, chemistry, cognitive and neural ployer and does not discriminate on the permanent residents) is open to women in sciences, computer science, electrical en• basis of race, gender, age, or country of all fields of biomedical research. gineering, aerospace/mechanical engi- origin.

13 FOCUS October 1995 Burlington MathFest Big Success

Victor Katz After a rainy beginning to the Burlington MathFest on August 5-8, the skies cleared in time for our wonderful Sunday evening cruise on Lake Champlain, where those on board were treated to a restful trip among the green islands and a beautiful sunset over the Adirondacks in New York. The MathFest itself, the largest in recent years, with over one thousand registrants, Frank Morgan (Williams College), demonstrates the had started the previous evening with the beauty and mathematics of bubbles. Awards Banquet. The MAA presented the Carl Allendoerfer Awards for articles in Mathe11Ultics Magazine to Lee Badger and Tristan Needham; the Lester R. Ford Awards for articles in the American Math• ematical Monthly to Fernando Gouvea, Karen F. Hills (Fairfield University). Robert Gray, Jonathan King, Israel Kleiner, Nitsa Movshovitz-Hadar, and William Waterhouse; and the George P6lya Awards for articles in the College Math• ematics Journal to Anthony Ferzola and Paulo Ribenboim. Israel Kleiner has now set an enviable record as the recipient of each of these awards, including two Allendoerfer awards (1987 & 1992), the ~ P6lya award (1990), and the current Ford Robert Whitte (Exxon award. Readers of the MAA journals ea• Education Foundation), gerly await his next award-winning article. and Project NExT Fellows. The MAA also awarded the Merten M. Hasse Prize for expository writing by a with detailed discussion, of solved and of Macalester College, author of the new younger mathematician to Andrew unsolved problems on tilings. Her lectures MAA text A Radical Approach to Real Granville, and, together with the AMS, were accompanied by many wonderful Analysis. Seventeen students and a few made a special award to the Exxon Educa• slides of tilings of various types from all faculty hangers-on attended the student tion Foundation on its fortieth birthday, in over the world and inspired her listeners workshop on "Mathematics on the recognition of its many contributions to to look for interesting tilings wherever they Internet," presented by Dennis DeTurck mathematics education. travel. Marjorie Senechal of Smith Col• of the University of Pennsylvania. Of One of the most recent contributions of lege gave the PME Lecture, 'Tilings as course the many MAA Contributed Pa• Exxon was the establishment of Project diffraction gratings," providing a fascinat• per Sessions dealing with issues of teach• NExT, which brings new Ph.D.s into the ing complement to the Hedrick Lectures. ing college mathematics and the profession with a year-long program of relationships between mathematics re• The MAA membership can also be ex• form in high school and college were gen• special sessions and electronic network• ceedingly pleased with student participa• erally well attended, as were several panel ing. The first sixty-six NExT fellows com• tion at the meetings. There were discussions and the minicourses. And it pleted their year during the Burlington thirty-nine MAA Student Papers, as well would not be amiss to mention that, bur• MathFest, while a new group of seventy• as another twenty sponsored by PME. ied in the listings of an AMS Special Ses• eight fellows started .the process anew. Prizes were awarded to the best paper in sion on Soap Bubble Geometry, with only The high point of the MAA meeting was, each of the five sessions, and each pre• a cryptic two-sentence abstract, was the of course, the Hedrick Lectures, this time senter also received a T-shirt and certifi• proof by Joel Hass of the University of presented by Doris Schattschneider of cate. The increasing number of excellent California, Davis, and Roger Schlafly of Moravian College. Following in the tradi• student presentations gives us great hopes Real Software, of a long-standing conjec• tion of such wonderful recent lecturers as for the future of our profession. The stu• ture that the standard "double bubble" Bill Thurston and John Conway, Doris dents themselves, as well as many faculty minimizes area among all surfaces enclos• enthralled her large audience on three suc• members, were excited by the MAA Stu• ing a given pair of equal volumes. Get out cessive mornings in the Ira Allen Chapel dent Lecture given by David M. Bressoud your bubble blowers and see for yourself! 14 October 1995 FOCUS Award Winners Decided in Burlington At its meeting in Burlington, Vermont in annually for "distinguished, innovative American Mathematical Society. vol. 28, August, the MAA Board of Governors ap• books published by the MAA," will go in pp. 215-252. The citation describes proved a number of awards. 1996 to Constance Reid for her book The Birman's article as one "that one can give Search for E. T. Bell. Also Known as John to a student who is just about to take a first The 1996 Gung-Hu Award for Distin• Taine. The official citation for the award course in Knot Theory." guished Service to Mathematics will go to describes this book as "a fascinating, in• Andrew Gleason of Harvard University, The three mathematicians who will be formative, and readable account of an in recognition of a long and distinguished recipients of the 1996 Deborah and enigmatic mathematical personality." career in both mathematical research and Franklin Tepper Haimo Awards for Dis• mathematical education. Professor The Chauvenet Prize, presented annually tinguished College or University Teach• Gleason is a member of the National Acad• for an expository paper, is to be awarded ing of Mathematics are Thomas F. emy of Sciences and a past president of next year to Joan Birman of Columbia Banchoff of Brown University, Edward the American Mathematical Society. University for her paper "New Points of M. Landesman of the University of Cali• View in Knot Theory," which appeared in fornia at Santa Cruz, and Herbert S. Wilf The Beckenbach Book Prize, awarded the April 1993 issue of the Bulletin of the of the University of Pennsylvania.

Brian White (Stanford University)

All photographs © Laury Shea 1995 The campus of the University of Vermont• Burlington was a beautiful setting for MathFest '95.

L to R: Anita Solow (Grinnell College). Jim Daniel (University of Texas at Austin). and Edward Ahmert (Exxon Education Foundation ).

~ Doris Schattschneider David Bressoud• (Moravian College) (Macalester College). ' delivered the annual presented the annual Hedrick Lecture Series. Student Lecture.

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While most of the country shivers in the Opportunitiesfor Minorities in Mathemat• presentation on The Uses ofHistory in the winter cold, members of the MAA and the ics; Krystyna M. Kuperberg, Vector Fields, Teaching of Mathematics, organized by AMS will be able to enjoy the warm sun• Flows, and Invariant Sets, and Robert Florence Fasanelli, Victor Katz, and shine of Florida when they attend the 1996 Moses (title to be announced). Frederick Rickey. Annual Joint Meetings in Orlando next Past MAA president Donald Kreider And for those thinking about writing their January 10-13. will give his Retiring Presidential Ad• first book, Susanna Epp and Gerald Porter By extending their stay beyond the meet• dress, Charting Directions for a New have arranged a panel discussion titled ing, members will be able to avoid any Century-A Portrait of the MAA on Its You're the Author, What's Next? conflict between the attractions of the JOOth Birthday. Among the many events arranged specially meetings program and the rival attractions Among the many minicourses offered for students is a Student Workshop on Soap of applied classical mechanics and com• there is the highly topical Earth Math: Bubbles and Salt Crystals, offered by puter science at nearby Disneyworld. And Applications ofPrecalculus Mathematics Frank Morgan. make no mistake about it, the Joint Meet• to Environmental Issues, organized by ings offer a cornucopia of attractions. All these plus the usual range of paper Nancy Zumoff and Christopher Schaufele sessions, prize sessions, receptions, and The MAA InvitedAddresses will be given of Kennesaw State College. parties promise to make Orlando THE by Laszl6 Babai, Having Fun with Linear Humanistic Mathematics is the theme of a place to be next January 10-13. And that's Algebra: Applications to Combinatorics contributed paper session that will doubt• without Disneyworld and warm weather. and Geometry; Robert Bryant, Perspec• less attract a large audience. See you there. tives in the Geometry of Differential Equations; Etta A. Falconer, Creating Another crowd puller will be the special

The Orange County Convention/Civic Center willbe the site o/many sessions and exhibits.

17 FOCUS October 1995 ORLANDO ematics Reform, Henry J. Ricardo, 7:00 PM - 9:00 PM, Minicourse 3B, Hands• Medgar Evers College (CUNY). FLORIDA onActivitiesfor Developmental Mathemat• ics Courses, organized by Rosalie A. 8:00 AM - 9:20 AM, Special Presentation, Dance, University of Maryland, and James SUMMA Presentation, organized by Will• T. Sandefur, Georgetown University. iam A. Hawkins.

6:00 PM - 9:00 PM, Student Activity, 9:35 AM - 10:55 AM, Panel Discussion, Dis• MathChats tance Learning, L. Carl Leinbach, Wednesday, January 10, 1996 Gettysburg College. 9:35 AM - 10:55 AM, Panel Discussion, Fu• 8:00 AM - 10:00 AM, Minicourse 4A, Inter• ture Perspectives on Calculus, Donald disciplinary Lively Applications, organized Small, United States Military Academy. by David C. Arney and Frank Giordano, United States Military Academy. 9:35 AM - 10:55 AM, Panel Discussion, The Women and Mathematics Program: A Case 8:00 AM - 10:00 AM, Minicourse SA, Busi• History of an Intervention Program. ness Calculus: A New Real-Data/Model• Carole B. Lacampagne, U.S. Department +JOINT+ Building Approach, organized by Donald of Education, Virginia E. Knight, MATHEMATICS LaTorre, John W. Kenelly, and Iris B. Meredith College. Feta, Clemson University. MEETINGS 2: 15 PM - 3 :05 PM, Invited Address, Robert JANUARY 10-13, 1996 8:00 AM - 10:00 AM, Minicourse 6A (com• Moses, The Algebra Project. puter), Workshop Mathematics: Using New Thesday, January 9, 1996 Pedagogy and Technology in Introductory 2: 15 PM- 4: 15 PM, Minicourse 7 A, The His• Courses. organized by Nancy Baxter torical Development of the Foundations 8:30 AM - 4:00 PM, MAA Board of Gover• Hastings and Allan J. Rossman, of Mathematics, Robert L. Brabenec, nors Meeting Dickinson College. Wheaton College.

3:00 PM - 5:00 PM, Minicourse lA, How to 8:00 AM - 10:55 AM, Contributed Paper 2:15 PM- 4:15 PM, Minicourse SA, Coop• Use Computer-based Numerical. Graphi• Session, Constructivism Across the Cur• erative Learning in Undergraduate Math• cal. and Computer Symbolic Algebra Meth• riculum (part I), David M. Mathews, ematics Education, Barbara Reynolds, ods to Enhance the Teaching and Learning Central Michigan University, Keith E. Cardinal Stritch College, Janet Ray, Se• of Calculus, organized by Bert K. Waits, Schwingendorf, Purdue University North attle Central Community College, and Ed The Ohio State University, and Wade Ellis, Central. Dubinsky, Purdue University. Jr., West Valley College. 8:00 AM - 10:55 AM, Contributed Paper 2: 15 PM - 4: 15 PM, Minicourse 9A, Calculus 3:00 PM - 5:00 PM, Minicourse 2A, An Activ• Session, Chaotic Dynamics and Fractal for the 21 st Century, David A. Smith and ity-BasedApproach to Teaching Introduc• Geometry (part I), Denny Gulick, Uni• Lawrence C. Moore, Duke University. tory Statistics, organized by Ann E. versity of Maryland, Jon Scott, Montgom• 2:15 PM - 4:15 PM, Minicourse lOA (com• Watkins, California State University ery College. Northridge, Mrudulla Gnanadesikan, puter), MathematicalAlgorithms. Models, Fairleigh Dickinson University, and Ri• 8:00 AM - 10:55 AM, Contributed Paper and Graphic Representations Using chard L. Scheaffer, University of Florida. Session, Active Learning Strategies for Spreadsheets, Deane Arganbright, Uni• Statistics and Probability (part 1), Allan versity of Papua New Guinea, Erich 3:00 PM - 5:00 PM, Minicourse 3A, Hands• J. Rossman, Dickinson College, Mary R. Neuwirth, University ofVienna, and Rob• on Activitiesfor Developmental Mathemat• Parker, Austin (Texas) Community Col• ert S. Smith, Miami University. ics Courses, organized by Rosalie A. lege. Dance, University of Maryland, and James 2: 15 PM - 6:00 PM, Contributed Paper Ses• T. Sandefur, Georgetown University. 8:00 AM - 10:50 AM, Contributed Paper sion, Research in Undergraduate Math• Session, Standards for Introductory Col• ematics Education (part 1), Annie Selden, 7:00 PM - 9:00 PM, Minicourse lB, How to lege Mathematics Courses Before Calcu• Tennessee Technological University, John Use Computer-based Numerical. Graphi• lus (part 1), Gregory D. Foley, Sam Selden, Mathematics Education Resources cal, and Computer Symbolic Algebra Meth• Houston State University, Jon Wilkin, Company. ods to Enhance the Teaching and Learning Northern Virginia Community College. of Calculus, organized by Bert K. Waits, 2: 15 PM - 6:00 PM, Contributed Paper Ses• The Ohio State University, and Wade Ellis, 8:00 AM - 9:20 AM, Panel Discussion, Visit• sion, Teaching Mathematics by Blind In• Jr., West Valley College. ing Lecturer Programs in the Mathemati• structors or to Blind Students, Norberto cal Sciences, Deane Arganbright, Salinas, University of Kansas. 7:00 PM - 9:00 PM, Minicourse 2B, An Activ• University of Papua New Guinea. ity-Based Approach to Teaching Introduc• 2: 15 PM - 6:00 PM, Contributed Paper Ses• tory Statistics, organized by Ann E. 8:00 AM - 9:20 AM, Panel Discussion, A sion, Innovations in Teaching Linear AL• Watkins, Califofilia State University, Modern Course in Calculus, A. Wayne gebra (part 1), Donald LaTorre, Clemson Northridge, Mrudulla Gnanadesikan, Roberts, Macalester College. University, Steven J. Leon (ATLAST), U. Fairleigh Dickinson University, and Ri• Massachusetts at Dartmouth, David C. Lay 8:00 AM - 9:20 AM, Panel Discussion, Math• (LACSG), U. of Maryland. chard L. Scheaffer, University of Florida. ematical Modeling as a PrecursorofMath- 18 October 1995 FOCUS

3:20 PM - 4: 10 PM, Invited Address, Per• 1), Martin E. Flashman, Humboldt State North Carolina-Charlotte, and Eli Passow, spectives in the Geometry of Differential University. Temple University. Equations, Robert Bryant, Duke Univer• 10:05 AM - 10:55 AM, Invited Address, Cre• 3:15 PM - 4:10 PM, Panel Discussion, Case sity. ating Opponunitiesfor Minorities in Math• Studies in Effective Undergraduate Math• 4:30 PM - 6:30 PM, Minicourse 4B, Interdis• ematics, Etta Falconer, Spelman College. ematics Programs, Alan Thcker, SUNY ciplinary Lively Applications, organized by at Stony Brook, moderator, Dave Lutzer, 2: 15 PM - 3:05 PM, Invited Address, Vector David C. Arney and Frank Giordano, College of William and Mary, and Linda Fields, Flows and Invariant Sets, Krystyna United States Military Academy. Boyd, DeKalb Community College. M. Kuperberg, Auburn University. 4:30 PM - 6:30 PM, Minicourse 6B (com• 4:25 PM - 6:00 PM, Joint Prize Session 2: 15 - 4: lOAM, Minicourse 5B, Business puter), Workshop Mathematics: Using New Calculus: A New Real-DatalModel-Build• 4:45 PM - 7:00 PM, 2-year College Recep• Pedagogy and Technology in Introductory ing Approach, organized by Donald tion Mathematics Courses, organized by Nancy LaTorre, John W. Kenelly and Iris B. Baxter Hastings and Allan J. Rossman, 6:00 PM -7:00 PM, Prize Session Reception Feta, Clemson University. Dickinson College. 7:00 PM - 10:00 PM, Contributed Paper 2:15 PM- 4:10 PM, Minicourse 7B, The His• 4:30 PM - 6:30 PM, Minicourse 11A, Earth Session, Innovations in Teaching Linear torical Development of the Foundations Math: Applications of Precalculus Math• Algebra (part 2), Donald LaTorre, of Mathematics, Robert L. Brabenec, ematics to Environmental Issues, Nancy Clemson University, Steven J. Leon Wheaton College. Zumoff and Christopher Schaufele, (ATLAST), U. of Massachusetts at Dart• Kennesaw State College. 2: 15 PM - 4: 10 PM, Minicourse 9B, Calculus mouth, David C. Lay (LACSG), U. of for the 21st Century, DavidA. Smith and Maryland. 4:30 PM - 6:30 PM, MAA Section Officers Lawrence C. Moore, Duke University. Meeting 7:00 PM - 10:00 PM, Special Presentation, 2:15 PM - 4:10 PM, Minicourse lOB (com• The Uses of History in the Teaching of 6:00 PM - 7:00 PM, First-time Attendees puter), MathematicalAlgorithms, Models, Mathematics, organized by Florence Reception and Graphic Representations Using Fasanelli, MAA, Victor J. Katz, Univer• Thursday, January 11, 1996 Spreadsheets, Deane Arganbright, Uni• sity of the District of Columbia, and V. versity of Papua New Guinea, Erich Frederick Rickey, Bowling Green State 8:00 AM - 10:00 AM, Minicourse 12A (com• Neuwirth, University ofVienna, and Rob• University. puter), The Use of Symbolic Computation ert S. Smith, Miami University. in Probability and Statistics, Elliot Tanis, 7:00 PM - 8:30 PM, Reunion for Calculus Hope College, and Zaven Karian, 2: 15 PM - 4: 10 PM, Contributed Paper Ses• Reform Workshop Participants, Don Denison University. sion, Constructivism Across the Curricu• Small, United States Military Academy. lum (part 2), David M. Mathews, Central 8:00 AM - 10:00 AM, Minicourse 11B, Earth 7:00 PM - 9:00 PM, Micro-Inequities Skits, Michigan University, Keith E. Math: Applications of Precalculus Math• Are We There Yet? Encouraging Women in Schwingendorf, Purdue University North ematics to Environmental Issues, Nancy Mathematics, sponsored by the MAA Central. Zumoff and Christopher Schaufele, Committee on Participation of Women. Kennesaw State College. 2: 15 PM - 4: 10 PM, Contributed Paper Ses• 7:00 PM - 10:00 PM, ILl Poster Session, Lee sion, Chaotic Dynamics and Fractal Ge• 8:00 AM - 12:00 PM, Contributed Paper L. Zia, National Science Foundation ometry (part 2), Denny Gulick, University Session, Research in Undergraduate Math• (NSF). of Maryland, Jon Scott, Montgomery ematics Education (part 2), Annie Selden, College. Tennessee Technological University, John Friday, January 12, 1996 Selden, Mathematics Education Resources 2: 15 PM - 4: 10 PM, Contributed Paper Ses• 7:00AM - 8:00 AM, Breakfast for MAA Stu• Company. sion, Active Learning Strategies for Sta• dent Chapter Faculty Advisors, Section tistics and Probability (part 2), Allan J. Coordinators, and PME Advisors. 8:00 AM - 12:00 PM, Contributed Paper Rossman, Dickinson College, Mary R. Session, Creating an Active Learning En• 8:00 AM- 10:00 AM, Minicourse 8B, Coop• Parker, Austin (Texas) Community Col• vironment: Preparing Pre-Service Teach• erative Learning in Undergraduate Math• lege. ers (part 1), HubertJ. Ludwig, Ball State ematics Education, Barbara Reynolds, University, Kay Meeks Roebuck, Ball 2: 15 PM - 4: 10 PM, Contributed Paper Ses• Cardinal Stritch College, Janet Ray, Se• State University. sion, Standards for Introductory College attle Central Community College, and Ed Mathematics Courses Before Calculus Dubinsky, Purdue University. 8:00 AM - 12:00 PM, Contributed Paper (part 2), Gregory D. Foley, Sam Houston Session, The Scholarship of Humanistic 8:00 AM - 10:00 AM, Minicourse 12B (com• State University, Jon Wilkin, Northern Mathematics (part 1), Alvin White, Harvey puter), The Use of Symbolic Computation Virginia Community College. Mudd College, Joan Countryman, The in Probability and Statistics, Elliot Tanis, Lincoln School, and Harold Ness, Uni• 2: 15 PM - 4: 10 PM, Panel Discussion, Mak• Hope College, and Zaven Karian, versity ofWisconsin Centers-Fond du Lac. ing Teaching More Public, James R. C. Denison University. Leitzel, University of Nebraska-Lincoln, 8:00 AM - 12:00 PM, Contributed Paper 8:00 AM - 10:00 AM, Minicourse 13A, Fi• Steven Dunbar, University of Nebraska• Session, Planning Reformed Calculus Ralph Lincoln, Miriam Leiva, University of bonacci and Catalan Numbers, Programs: Experiences and Advice (part 19 FOCUS October 1995

Grimaldi, Rose-Hulman Institute ofTech• Washington. 8:00 AM - 10:00 AM, Minicourse 18A, Train• nology. ing Tools for Mathematics TA Teaching I :00 PM - 6:00 PM, Contributed Paper Ses• Workshops, Marilyn McCollum, North 8:00 AM - 10:55 AM, Contributed Paper sion, Innovations in Teaching Linear AL• Carolina State University. Session, Innovations in Teaching gebra (part 3), Donald LaTorre, Clemson Precollege Algebra Courses, Mohammad University, Steven J. Leon (ATLAST), U. 8:00 AM - 10:55 AM, Contributed Paper H. Ahmadi, University of Wisconsin. of Massachusetts at Dartmouth, and David Session, Creating an Active Learning En• C. Lay (LACSG), U. of Maryland. vironment: Preparing Pre-Service Teach• 8:00 AM - 10:55 AM, Contributed Paper ers (part 2), HubertJ. Ludwig, Ball State Session, Planning Reformed Calculus I :00 PM - 5:00 PM, Contributed Paper Ses• University, Kay Meeks Roebuck, Ball Programs: Experiences and Advice (part sion, Interdisciplinary Programs with State University. 2), Martin E. Flashman, Humboldt State Undergraduate Mathematics, Jerry University. Johnson, University of Nevada, Reno, 8:00 AM - 10:00 AM, Student Activity, Poster Louis Gross, University of Tennessee. Session on Research by Undergraduate 8:00 AM - 10:55 AM, Contributed Paper Students, Judith Palagallo, University of Session, My Favorite ODESolverand Why I :00 PM - 5: 15 PM, Poster Session, Interac• Akron. (part I), Courtney Coleman, Harvey tive Mathematics Texts: Getting Students Mudd College, Robert Borrelli, Harvey Involved, Ladnor Geissinger, University 10:05 AM - 10:55 AM, Invited Address, Hav• Mudd College. of North Carolina, Marvin Brubaker, ing Fun with Linear Algebra: Applications Messiah College, and Lester Senechal, to Combinatorics and Geometry, Laszlo 8:00 AM - 10:55 AM, Contributed Paper Mt. Holyoke College. Babai, University of Chicago and Eotvos Session, Assessment of Student Learning University, Budapest. for Improving the Undergraduate Major 2:15 PM - 3:05 PM, Retiring Presidential in Mathematics (part I), William Marion, Address, Charting Directions for a New 12:05 PM- 12:30PM MAA Business Meet• Valparaiso University, Barbara T. Faires, Century - a Portrait of the MAA on its ing Westminster College. IOOth Birthday, Donald Kreider, I :00 PM - 3:00 PM, Minicourse 13B, Fi• Dartmouth College. 8:00 AM - 9:20 AM, Panel Discussion, Re• bonacci and Catalan Numbers, Ralph search Methods in Mathematics Education, 3:15 PM - 5:15 PM, Minicourse 16A, Con• Grimaldi, Rose-Hulman Institute of Tech• John Selden, Mathematics Education temporary Calculus Through Applications nology. Resources Company, Annie Selden, Ten• Using the TI-82, Kevin Bartkovich and I :00 PM - 3:00 PM, Minicourse 16B, Con• nessee Technological University. Daniel J. Teague, North Carolina School temporary Calculus Through Applications of Science and Mathematics. 8:00 AM - 9:20 AM, Panel Discussion, You're Using the TI-82, Kevin Bartkovich and the Author, What's Next?, Susanna Epp, 3:15 PM - 5:15 PM, Minicourse 17A (com• Daniel J. Teague, North Carolina School DePaul University, Gerald J. Porter, puter), Using a Laboratory Approach to of Science and Mathematics. University of Pennsylvania. Teach Basic Concepts of Group Theory, 1:00 PM - 3:00 PM, Minicourse 17B (com• Ellen Maycock Parker, DePauw Univer• 8:00 AM - 10:55 AM, Student Activity, Stu• puter), Using a Laboratory Approach to sity. dent Chapters Papers Session Teach Basic Concepts of Group Theory, 3:20 PM - 4:50 PM, Teaching Awards Pre• Ellen Maycock Parker, DePauw Univer• 9:35 AM - 10:55 AM, Panel Discussion, Evalu• sentations sity. ation of the Uses of Computers in Math• ematics Instruction, Keith E. 5:00 PM - 6:20 PM, Panel Discussion, Infor• I :00 PM - 3:00 PM, Student Workshop, Soap Schwingendorf, Purdue University North mal Session on Actuarial Education, Bubbles and Salt Crystals, FrankA. Mor• Central. James Daniel, University of Texas. gan, Williams College. 9:35 AM - 10:55 AM, Panel Presentation: 7:00 PM - 10:00 PM, Contributed Paper I :00 PM - 5:30 PM, Contributed Paper Ses• Interactive Texts; Works in Progress, Session, Chaotic Dynamics and Fractal sion, Interactive Mathematics Texts in the Gerald J. Porter, University of Pennsyl• Geometry (part 3), Denny Gulick, Uni• Classroom-A MathKit Perspective, vania. versity of Maryland, Jon Scott, Montgom• James E. White, University of North ery College. Carolina-Chapel Hill. 9:35 AM - 10:55 AM, Panel Discussion, Project NExT-Activities and Lessons 7 :00 PM - 10:00 PM, Poster Session, Innova• 1:00 PM - 3:00 PM, Contributed Paper Ses• Learned, James R. C. Leitzel, University tions in Freshman & Sophomore Math• sion, The Scholarship ofHumanistic Math• of Nebraska-Lincoln, T. Christine ematics Instruction, William Barker, ematics (part 2), Alvin White, Harvey Stevens, Saint Louis University. Bowdoin College. Mudd College, Joan Countryman, The Lincoln School, Harald Ness, University I :00 PM - 3:00 PM, Minicourse 14A, Learn• 7:30 PM - 8:20 PM, Student Lecture, Math• of Wisconsin Centers - Fond du Lac. ing to Write Good Test Items that Allow or ematics Education and National Concerns, Require the Use of Technology, Jan Richard A. Tapia, Rice University. 1:00 PM - 3:00 PM, Contributed Paper Ses• VanDever, South Dakota State University, Saturday, January 13, 1996 sion, Assessment of Student Learning for Rose Hamm, College of Charleston. Improving the Undergraduate Major in 8:00 AM - 10:00 AM, Minicourse 15B (com• Mathematics (part 2), William Marion, I :00 PM - 3:00 PM, Minicourse 15A (com• puter), Dynamic Geometry with Cabri Valparaiso University, Barbara T. Faires, puter), Dynamic Geometry with Cabri Geometer, James R. King, University of Westminster College. Geometer, James R. King, University of Washington. 20 October 1995 FOCUS

1:00 PM - 2:20 PM, Panel Discussion, Track• ing Reform in Undergraduate Mathemat• ics Education. Presenters will be: Kenneth Visit the MAA Book Sale in Orlando J. Travers, Univ. of Illinois at Urbana• Champaign, JohnA. Dossey, Illinois State University, Curtis McKnight, Univ. of She Does Math Oklahoma, Janet Ray, Seattle Central Community College, Carolyn Mahoney, Raal-Li'a Problams .rom Woman on tha Job California State University San Marcos; and discussants will be Ray L. Johnson, Marla Parker, EIIhor University of Maryland at College Park, James R. C. Leitzel, University of Ne• A CI"BP.m RIIIlUl'C' FIJI' fila., III ".l1li11 B tlII'IJUf/I "", 01'" "111' III CIl"'" braska-Lincoln, Alfredo de los Santos, She Does Math presents the career histories of 38 professional women and math prob• Maricopa Community College, Arizona. lems written by them. Each history describes how much math the author took in high school and college; how she chose her field of study; and how she ended up in her current I :00 PM - 2:20 PM, Panel Discussion, The job. Each of the women presents several problems she had to solve in her job. Job Market for New PhDs, Curtis Bennett, Bowling Green State University. There are lots of good reasons to buy this book:

I :00 PM - 2:20 PM, Panel Discussion, Coor• • It contains many real-life problems. When students ask you, "Why do I have to learn dinating Mathematics and Science Edu• algebra (or trigonometry or geometry)?" you will find many answers in its pages. Stu• cation, organized by Lida K. Barrett, dents will welcome seeing the situations from real-world jobs where the math skills you United States Military Academy. are teaching are actually used.

1:00 PM - 5:30 PM, Poster Session, Technol• • It provides your students with strong female role models. Girls need these role models to ogy and Mathematics Curricular Reform, help them imagine themselves in good, technical jobs. Both girls and boys need these role Marcelle Bessman, Jacksonville Univer• models to help imagine themselves working professionally with women as managers, sity. colleagues, and subordinates.

2:35 PM - 3:55 PM, Panel Discussion, Quan• • It supplies practical information about the job market to your students. They will learn titative Literacy Foundation Courses, that they can only compete for these interesting, well-paying jobs by taking mathematics moderated by Robert L. Bernhardt, East throughout their high school and college years. Carolina University. • It demonstrates the surprising variety of fields in which mathematics is used. Some ex• 2:35 PM - 3:55 PM, Panel Discussion, ODEs amples: 2000, Courtney Coleman, Harvey Mudd Archaeology: Learn how archaeologists use mathe matics to study pollen and thus under• College. stand the environmental changes that occurred in a North American Indian village a thou• 3: 15 PM - 5: 15 PM, Minicourse 14B, Learn• sand years ago. ing to Write Good Test Items that Allow or Fish Pathology: Learn how a fish pathologist gives medicine to a large population of fish Require the Use of Technology, Jan or helps prevent them from getting the "bends." VanDever, South Dakota State University, Rose Hamm, College of Charleston. Ophthalmology: Learn how an ophthalmologist helps a patient suffering from double vision by determining the power of prism needed in the patient's eyeglasses to correct the 3:15 PM - 5:15 PM, Minicourse 18B, Train• problem. ing Tools for Mathematics TA Teaching Workshops, Marilyn McCollum, North 272 pp., Paper, 1995; ISBN 0-88385-702-2 Carolina State University. MAA Member: $18.50 List: $24.00 4: 10 PM - 5: 30 PM, Contributed Paper Ses• Catalog Code: SDMlFOC sion, My Favorite ODE Solver and Why ,------1 (Part 2), Courtney Coleman, Harvey I Bring this coupon to the MAA Book Sale at the I Mudd College, Robert Borrelli, Harvey I Joint Mathematics Meetings, and receive I Mudd College.

4: 10 PM - 5:30 PM, Panel Discussion, The : $1 off any purchase of $20 or more : PhD in Mathematics Education: Program Structures and Professional Opportunities I ~~ I for Graduates, Henry Pollak, Teachers I I College (Columbia University), Joan Ferrini-Mundy, University of New I MAA Book Sale I Hampshire. I I I I 4: 10 PM - 5 :30 PM, Panel Discussion, Orien• I Limit one coupon per person. This offer is only good at the Joint tation and Supervision of Part-Time In• L ____M~e:t: ~~s~ ~a~,.:o~~n:ry~~~,~9~ ___ J structors, Suzanne Lenhart, University of Tennessee. 21 FOCUS October 1995

Meetings Orlando, Florida joint Prize Session and Reception: In power students. Mathematical topics will in• order to showcase the achievements of the clude limits, derivatives, optimization, def• Orange County Convention Center recipients of various prizes, the AMS and inite and indefinite integration. improper january 10-13, 1996 MAA are cosponsoring this event at integrals, differential equations, and related 4:25 P.M. on Thursday. A cash bar reception applications. A state-of-the-art TI-92 com• joint Mathematics Meetings inc/uding the will immediately follow. All participants puter with built-in CAS will he loaned to 79th Annual Meeting ofthe MAA. 102nd AIl• are invited to attend. The AMS will an• each participant. nual Meeting of the A MS. annllalmeetings nounce the recipient of the Oswald Vehlen Minicourse #2: All activity-based ap• (Jf the Association for Women in Math• Prize in Geometry. The A WM will present proach to t('l/ching il1frodllctory statistics. ematics (A WM) and the National Associa• the Louise Hay A ward for Contributions organized hy Ann E. Watkins, California tion of Mathematicians (NA M), and the to Mathematics Education. The MAA prizes State University Northridge. Mrudulla winte;' meeting of" the Association of" Sym• include the Dehorah and Franklin Tepper Gnanadesikan, Fairleigh Dickinson Uni• bolic Logic (ASL). Haimo A wards for Distinguished College versity. and Richard L. Scheaffer, Uni• All sessions will take place in the Orange or U ni versity Teaching of Mathematics, the versity of Florida. Part A: Tuesday, 3:00 P.M. COllntl' Convention Center and the Clarion Chauvenet Prize, the Yueh-Gin Gung and to 5:00 P.M.; Part B: Tuesday, 7:00 PM. to Hotel. Dr. Charles Y. H u A ward for Distinguished 9:00 P.M.; enrollment limit: gO; registration AMS-MAA Sessions Service to Mathematics, the Beckenbach fee: $45. This minicourse is for teachers of Book Prize, and Certificates of Meritorious introductory statistics who want to change Research in undergraduate mathematics Service. their course from a traditionallecture-and• education. Wednesday afternoon and Thurs• listen model to activity-based lessons. Par• day morning, organized by Annie Selden, 79th AnnualMeetingofthe MAA ticipants will be engaged in a series of field• Tennessee Technological University, and tested, hands-on activities that illustrate john Selden, Mathematics Education Re• MAA Invited Addresses many of the key concepts taught in an in• sources Company. and sponsored hy the troductory statistics course. They will play AMS-MAA Committee on Research in Un• Laszlii Babai, University of Chicago and the role of students, actually working dergraduate Mathematics Education Eiitviis University, Budapest, Having fUll through a selection of activities. Experi• (CRUME). Research papers arc solicited Ivith lillear algebra: Applications to com• enced instructors will explain how they for twenty-minute presentations which ad• binatorics and geometry, Saturday, have made use of the activities in various dress questions concerning the teaching and 10:05 A.M. settings. The activities are heing developed learning of undergraduate mathematics. Robert Bryant, Duke University, Per• under an NSF-supported project called Ac• Both theoretical and empirical investiga• ,Ipectives in the geometry of differential tivity-Based Statistics (ABS). Each partic• tions utilizing qualitative or quantitative equations, Wednesday, 3:20 P.M. ipant will be supplied with copies of the stu• methodologies are welcome. Whenever Etta Z. Falconer, Spelman College, Cre• dent pages and the instructor notes, which possible, these should be set within estab• (lting opportunitie.I·.f(Jr minorities in math• include suggestions for assessment, for each lished theoretical frameworks and further ematics, Thursday, 10:05 AM. activity used in the minicourse. existing work. Reports on completed stud• Donald L. Kreider, Dartmouth College, Minicourse #3: HandS-Oil activitiesfor ies would he especially interesting. C/utrfillg directions for a new centw:r-a deve/ol'l11elltallllathemlitics coltrs('s, orga• Other AMS-MAA Events ,wrtrait (if the MAA Oil its 100th birthday, nized hy Rosalie A. Dance. University of Friday. 2: 15 PM (Retiring Presidential Ad• Maryland. and james T. Sandefur. Mathchats and Graduate Student Re• dress). Georgetown University. Part A: Tuesday, ception: On Tuesday evening well-known 3:00 P.M. to 5:00 P.M.; Part B: Tuesday, mathematicians representing a wide range Krystyna M. Kuperberg. Auburn Uni• 7:00 P.M. to 9:00 PM; enrollment limit: 40; of disciplines will join interested graduate versity, Vectorfie/ds. flows. and invariant registration fee: $45. Many developmental students for informal chats; all graduate sets. Thursday, 2: 15 P.M. mathematics students have failed in their at• students are invited. At 6:00 P.M. the group Robert Moses. The Algebra Project. tempts to learn mathematics in traditional will walk to Blazing Pianos; complimentary Wednesday, 2:15 P.M. classrooms. This course will present hands• food and beverages will be served and the on activities with inexpensive. easily ac• group will be treated to a rousing perfor• MAA Minicourses cessible equipment which will allow stu• mance at this well-known night spot. Minicourse #1: How to use computer-based dents to develop mathematical models NOTE: This event is only for students who numerical. graphical, and computer sym• together and to learn more about the real sign up on the Advance Registration bolic algebra methods to ellhallce the teach• world as they learn mathematics. Models of Form. There is no charge. ing and learning of calculus, organized hy elimination of drugs from the bloodstream. Reception for First-time Participants: Bert K. Waits, The Ohio State University, heredity. handshakes, and the speed of light The AMS Committee on Membership and and Wade Ellis, jr., West Valley College. in water will lead to the mathematics. in• the MAA Committee on Memhership are Part A: Tuesday, 3:00 P.M. to 5:00 P.M., and cluding: linear, quadratic, and exponential cosponsoring a social hour on Wednesday Part B: Tuesday, 7:00 P.M. to 9:00 P.M.; en• functions; systems of equations and matrix from 6:00 P.M. to 7:00 P.M. If this is your first rollment limit: 40; registration fee: $45. equations; Pythagoras' Theorem. Partici• national meeting, you are especially en• Participants will gain "hands-on" experience pants should hring a graphing calculator. couraged to come and meet some old-timers using a new, powerful hand-held computer Minicourse #4: Ill1erdisciplillary lively and pick up a few tips on how to survive the algebra system (CAS) designed for math• applications, organized by David C. Arney environment of a large meeting. Refresh• ematics students. Organizers will show how and Frank Giordano, United States Mili• ments will be served. appropriate use of CAS can enhance the tary Academy. Part A: Wednesday, g:OO A.M. teaching and learning of calculus and em- to 10:00 A.M.; Part B: Wednesday. 4:30 P.M. 22 October 1995 FOCUS

Meetings to 6:30 P.M.; enrollment limit: 80; registra• College. Part A: Wednesday, 2: 15 P.M. to course will include an overview of the phi• tion fee: $45. Interdisciplinary applications 4: 15 P.M.; Part B: Thursday, 2: 15 P.M. to losophy and structure of the course, hands• can be used to weld mathematics with other 4: 10 P.M.; enrollment limit: 80; registration on experience with student classroom and disciplines to provide student growth in fee: $45. This course presents the develop• lab activities, and discussion of issues in• modeling and problem solving. This mini• ment of mathematics, including an histori• volved in implementing a reformed calcu• course will discuss projects that can be used cal overview of mathematics, the early de• lus course. in a wide range of mathematics courses, velopment of calculus, the impact of Minicourse #10: Mathematical algo• with applications from problems in chem• non-Euclidean geometry, the emergence of rithms. models. and graphic representa• istry, biology, physics, engineering, eco• structure in algebra, the entrance of rigor in tions using spreadsheets, organized by nomics, or social sciences. Projects are de• analysis, the theory of infinite sets, the de• Deane Arganbright, University of Papua, signed to take about four to five hours and velopment of logic, and the philosophies of New Guinea; Erich Neuwirth, University can be done in groups or individually. Par• mathematics. It is intended for anyone who of Vienna; and Robert S. Smith, Miami ticipants will work with materials prepared teaches a history of mathematics course, University. Part A: Wednesday, 2:15 P.M. to for students and instructors in printed and who wants to introduce a unit on historical 4:15 P.M.; Part B: Thursday, 2:15 P.M. to video formats. development in an existing mathematics 4: 10 P.M.; enrollment limit: 30; registration Minicourse #5: Business calculus: A course, or who is interested in this mater• fee: $65. This minicourse will draw on ex• new real-datalmodel-building approach, ial for personal enrichment. Suggestions amples from calculus, precalculus, finite organized by Donald LaTorre, John W. will be given for homework assignments mathematics, numerical analysis, statistics, Kenelly, and Iris B. Feta, Clemson Uni• and student research projects. geometry, number theory, and discrete dy• versity. Part A: Wednesday, 8:00 A.M. to Minicourse #8: Cooperative learning namical systems to illustrate a variety of 10:00 A.M.; Part B: Thursday, 2: 15 P.M. to in undergraduate mathematics education, mathematical concepts. In addition to its 4: 10 P.M.; enrollment limit: 80; registration organized by Barbara Reynolds, Cardinal considerable power to process data, the fee: $45. Participants will actively explore Stritch College, Janet Ray, Seattle Cen• modern spreadsheet possesses exceptional fresh material and methodology for teach• tral Community College, and Ed Dubinsky, graphics capabilities. These capabilities will ing new, up-to-date courses in business cal• Purdue University. Part A: Wednesday, be used creatively to design interactive culus. The focus will be on rates of change 2: 15 p.M.t04: 15 P.M.; Part B: Friday, 8:00 A.M. mathematical displays which illustrate al• and their applications to real-life situations to 10:00 A.M.; enrollment limit: 80; regis• gorithms and dynamic models. Addition• in business and finance, liberal arts, eco• tration fee: $45. The goal ofthis minicourse ally, these graphics will be used to create nomics and the social sciences, and man• is to introduce participants to the use of co• classical curves, tessellations, and elemen• agement. The derivative as a rate of change operative learning in undergraduate math• tary fractal patterns. and the integral as the accumulation of ematics courses at all levels in all types of Minicourse #11: Earth math: Applica• change are the main ideas, and modeling postsecondary schools, from two-year col• tions of precalculus mathematics to envi• real data with linear, quadratic, cubic, ex• leges through research institutions. Partic• ronmental issues, organized by Nancy E. ponential, and logistic models will be a cen• ipants will engage in illustrative coopera• ZumotT and Christopher Schaufele, Ken• tral theme. Graphing calculators will be tive learning experiences, discuss the nuts nesaw State College. Part A: Wednesday, provided. and bolts of using cooperative learning in 4:30 P.M. to 6:30 P.M.; Part B: Thursday, Minicourse #6: Workshop mathemat• the classroom, talk about ways in which 8:00 A.M. to 10:00 A.M.; enrollment limit: ics: Using new pedagogy and technology in things can go wrong when students work in 40; registration fee: $45. Minicourse lead• introductory courses, organized by Nancy groups, consider ways of avoiding or over• ers will present an overview of results of the Baxter Hastings and Allan Rossman, coming these pitfalls, hear about experi• Earth Math Project (funded by USED• Dickinson College. Part A: Wednesday, ences of faculty who have been using co• FIPSE and the National Science Founda• 8:00 A.M. to 10:00 A.M.; Part B: Wednesday, operative learning for years in classes tion). Participants will be guided through se• 4:30 P.M. to 6:30 P.M.; enrollment limit: 30; ranging from developmental mathematics to lected studies, with group discussion of registration fee; $65. Participants in this abstract algebra, discuss learning theory different facets of the materials. Sample minicourse will receive an in-depth look at which attempts to explain why this method topics: La Plata River streamflow prediction the "workshop" pedagogical approach and is so promising, and look at studies of the derived from regional temperature, rain, its underlying research activities. They will effectiveness of cooperative learning. and snowfall data; effect of population work in small groups with sample workshop Minicourse #9: Calculus for the 21st growth on availability of water; effects of materials taken from courses in quantitative century, organized by David A. Smith and mining wastes and acid pollution on water reasoning, statistics with applications, and Lawrence C. Moore, Duke University. quality. Graphing calculators are required. calculus with review I & II. Participants Part A: Wednesday, 2:15 P.M. to 4:15 P.M.; Minicourse #12: The use of symbolic will use a variety of software packages, in• Part B: Thursday, 2: 15 P.M. t04: 10 P.M.; en• computation in probability and statistics, or• cluding a motion detector for the collec• rollment limit: 80; registration fee: $45. ganized by Elliot A. Tanis, Hope College, tion and display of data in real time, the This minicourse is an introduction to the and Zaven A. Karian, Denison Univer• mathematical programming language three-semester calculus course developed at sity. Part A: Thursday, 8:00 A.M. to ISETL, and the statistical package Minitab. Duke University by Project CALC: Calcu• 10:00 A.M.; Part B: Friday, 8:00 A.M. to Issues concerning designing and imple• lus As a Laboratory Course, a funded NSF 10:00 A.M.; enrollment limit: 30; registration menting workshop materials and imple• project from 1988 to 1993. The Project fee: $65. This minicourse will show how a menting the approach will be discussed. No CALC course emphasizes real-world prob• comprehensive package of about one hun• previous computer experience is necessary. lems, hands-on activities, discovery learn• dred Maple procedures, made available by Minicourse #7: The historical develop• ing, writing and revision of writing, team• the authors, can enhance advanced under• ment ofthe foundations ofmathematics, or• work, intelligent use of available tools, and graduate courses in probability and statis• ganized by Robert L. Brabenec, Wheaton high expectations of students. The mini- tics. Specific laboratory problems will il- 23 FOCUS October 1995

Meetings lustrate the effective instructional use of c1idean geometry can be explored using mentation tools. In this minicourse partic• simulations that require the generation of "drag mode", loci, and animation. Next will ipants will experience T A training with spe• random samples from certain distributions come some modeling topics from calculus cific materials that can be easily used or (or from specified sampling distributions). and linear algebra using dynamic vectors, adapted to any T A training program. The course will have a significant hands-on transformations, and conics and their equa• Participants interested in attending component, and participants are expected to tions. Finally, some examples from the pro• should complete the MAA Minicourse Ad• be familiar with the use of microcomputers. jective geometry of conics and models for vance Registration Form found at the back Although useful, prior experience with hyperbolic and other non-Euclidean geome• of this issue and send it with payment di• Maple is not necessary. tries will be explored. rectly to the MAA office so as to arrive Minicourse #13: Fibonacci and Cata• Minicourse #16: Contemporary calcu• prior to the November 16 deadline. To lan numbers, organized by Ralph P. lus through applications using the TI-82, or• check on availability for on-site registration Grimaldi, Rose-Hulman Institute of Tech• ganized by Kevin Bartkovich and Daniel J. after the deadline, potential participants are nology. Part A: Friday, 8:00 A.M. to Teague, North Carolina School of Science encouraged to call the MAA headquarters 10:00 A.M.; Part B: Saturday, 1:00 P.M. to and Mathematics. Part A: Friday, 3: 15 P.M. at 800-331-1622. The MAA reserves the 3:00 PM.; enrollment limit: 80; registration to 5: 15 P.M.; Part B: Saturday, 1:00 P.M. to right to cancel any Minicourse which is un• fee: $45. In introductory courses in discrete 3:00 P.M.; enrollment limit: 80; registration dersubscribed. Should this occur, those reg• or combinatorial mathematics one encoun• fee: $45. This minicourse will highlight the istered in advance will be notified and will ters the Fibonacci numbers- and some• NCSSM calculus course, an applications• receive a full refund. times the Catalan numbers. This minicourse oriented, investigative calculus course cen• Because of the popularity of the Mini• will review and then extend this first en• tered around lab projects using graphing course program and the number of courses counter as it examines some of the proper• calculators. It will involve participants in ac• available for this meeting, the MAA is of• ties these numbers exhibit as well as appli• tivities that investigate graphical and nu• fering three courses on Tuesday, one day cations where these sequences arise. A merical approaches to differential equa• prior to the opening session. Since atten• survey of applications dealing with chem• tions, the significance of local linearity in dance at these courses will require advanced istry, physics, computer science, linear al• I'Hopital's rule, and the product and chain planning, individuals wishing to enroll in gebra, set theory, graph theory, and num• rules for differentiation, curve fitting with Minicourses #1-3 should register in ad• ber theory will show why these sequences unknown parameters, and analysis of in• vance. Potential participants who do not are of interest and importance. come distribution using integral calculus. register in advance for a Minicourse held on Minicourse #14: Learning to write good Additionally, open-ended group projects Tuesday may find it impossible to register test items that allow or require the use of appropriate for calculus students wiII be for the course of their choice on site. technology, organized by Jan J. VanDever, discussed. The MAA Minicourses are open only to South Dakota State University, and Rose C. Minicourse #17: Using a laboratory persons who register for the Joint Meetings Hamm, College of Charleston. Part A: Fri• approach to teach basic concepts ofgroup and pay the Joint Meetings registration fee. day, 1:00 PM. to 3:00 P.M.; Part B: Saturday, theory, organized by Ellen Maycock If the only reason for registering for the 3: 15 P.M. to 5: 15 P.M.; enrollment limit: 80; Parker, DePauw University. Part A: Friday, Joint Meetings is to gain admission to a registration fee: $45. Participants will dis• 3:15 P.M. to 5:15 P.M.; Part B: Saturday, Minicourse, this should be indicated by cuss issues related to writing good math• 1:00 P.M. to 3:00 P.M.; enrollment limit: 30; checking the appropriate box on the ematics test items that allow or require the registration fee: $65. Do your students have MAA Minicourse Advance Registration use of technology. The content considered difficulty mastering the ideas in group the• Form. Then, if the course is fully sub• will be college algebra/trigonometry and ory? Are you interested in an alternative to scribed, a full refund will be made of the calculus. The technology considered will be the "theorem-proof-example" format of a Joint Meetings advance registration fee (oth• scientific calculators, graphing calculators, theoretical course? This minicourse will erwise subject to the 50% rule). and computers with symbolic manipulation show you how to introduce discovery leam• capabilities (CAS). Participants will be pro• ing into your abstract algebra class. You will MAA Contributed Paper Sessions vided with examples and will be given the learn the software package Exploring Small See page 20 in the June 1995 issue for full opportunity to write and critique questions Groups by working through laboratories descriptions of these sessions. The dead• of their own. adapted from the manual Laboratory Ex• line for submitting summaries to the orga• Minicourse #15: Dynamic geometry periences in Group Theory. No previous nizers was August 25. with Cabri Geometer, organized by computer experience is necessary. -Active learning strategies for statistics James R. King, University of Washing• Minicourse #18: Training tools for and probability, organized by Allan J. ton. Part A: Friday, 1:00 P.M. to 3:00 P.M.; mathematics TA teaching workshops, or• Rossman, Dickinson College, and Mary R. Part B: Saturday, 8:00 A.M. to 10:00 A.M.; en• ganized by Marilyn McCollum, North Car• Parker, Austin (Texas) Community Col• rollment limit: 30; registration fee: $65. olina State University. Part A: Saturday, lege; Wednesday morning and Thursday The minicourse will use Cabri Geometer 8:00 A.M. to 10:00 A.M.; Part B: Saturday, afternoon. software to explore various topics in geom• 3: 15 P.M. to 5: 15 P.M.; enrollment limit: 30; -Assessment of student learning for im• etry. This software allows one to construct registration fee: $45. Most T As in math• proving the undergraduate major in math• draggable geometry figures using tradi• ematics have had little or no formal prepa• ematics, organized by William Mar• tional compass and straightedge, as well as ration in teaching. Colleges and universities ion,Valparaiso University, and Barbara T. transformations, loci, and animations. In want successful teaching from their T As. Faires, Westminster College; Friday morn• addition, one can construct draggable con• Broad training concepts have been shared ing and Saturday afternoon. ics and view equations of lines and conics at professional meetings and have stimu• -Chaotic dynamics and fractal geome• dynamically. The course will begin by lated creativity, but have not given partic• try, organized by Denny Gulick, Univer• showing how topics from intermediate Eu- ipants in-depth exposure to specific imple- sity of Maryland, and Jon Scott, Mont- 24 October 1995 FOCUS

Meetings gomery College; Wednesday morning, Other MAA Sessions SUMMA Presentation: Wednesday, Thursday afternoon, and Friday evening. Visiting Lecturer Programs in the Math• 8:00 A.M. to 9:20 A.M. This presentation on -Constructivism across the curriculum, ematical Sciences: Wednesday, 8:00 A.M. to intervention projects for minority precollege organized by David M. Mathews, Central 9:20 A.M., organized by Deane Argan• students is organized by William A. Michigan University, and Keith E. Schwin• bright, University of Papua, New Guinea. Hawkins, director of the MAA' s Strength• gendorf, Purdue University North Central; Panelists Marilyn Durkin, Bentley Col• ening Underrepresented Minority Math• Wednesday morning and Thursday after• lege and MAA visiting lecturer, Hal ematics Achievement (SUMMA) program. noon. Berghel, ACM Visiting Lecturer Program, Presenters will be Carolyn R. Mahoney, -Creating an active learning environ• and Leon H. Seitelman, SIAM Visiting California State University at San Marcos, ment: Preparing pre service teachers, or• Lecturer Program, will discuss how de• Jack Morrell, Atlanta Metropolitan Col• ganized by Hubert J. Ludwig and Kay partments in the mathematical sciences can lege, and Margaret Wiener, Marymount Meeks Roebuck, Ball State University; make effective use of the visiting lecturers Manhattan College. There will be ample Thursday and Saturday mornings. programs that are run by various profes• time for questions and interchange with the -Innovations in teaching linear algebra, sional societies within the mathematical presenters. organized by Donald LaTorre, Clemson sciences in this multidisciplinary session. Future Perspectives on Calculus: University, Steven J. Leon (ATLAST), They will present proven and helpful ideas Wednesday, 9:35 A.M. to 10:55 A.M., orga• University of Massachusetts at Dartmouth, on how to use these resources, obtain good nized by Donald B. Small, United States and David C. Lay (LACSG), University of speakers, deal with expenses, and insure Military Academy. Maryland, College Park; Wednesday after• that the experience is valuable to both the Distance Learning: Wednesday, noon, Thursday evening, and Friday after• lecturer and the host institution. Panelists in• 9:35 A.M. to 10:55 A.M., organized by L. Carl noon. clude representatives of organizations that Leinbach, Gettysburg College. Distance -Innovations in teaching precollege al• run visiting lecturer programs and institu• learning has long intrigued educators. Prior gebra courses, organized by Moham• tions that use visiting lecturers, as well as to mass communications capabilities itin• mad H. Ahmadi, University of Wisconsin• successful lecturers. There will be oppor• erant teachers visited remote outposts. With Whitewater; Friday morning. tunity for audience participation. the advent of mass communications came -Interactive mathematics texts in the A Modern Course in Calculus: other formats. The ability to transmit text, classroom-A MathKit perspective, orga• Wednesday, 8:00 A.M. to 9:20 A.M., orga• video, and sound in an interactive format nized by James E. White, University of nized by A. Wayne Roberts, Macalester over computer networks puts us on the North Carolina, Chapel Hill; Saturday af• College. Ten years after the Tulane Con• threshold of realizing the full potential of a ternoon. ference called for a reform of calculus, this "distributed class room". In this panel (spon• -Interdisciplinary programs with un• panel discusses their work and the impres• sored by the MAA Committee on Com• dergraduate mathematics, organized by sions they formed in putting together an puters in Mathematics Education) Tom Jerry A. Johnson, University of Nevada, MAA Notes volume, Calculus. the dynam• Upson, Rochester Institute of Technology , Reno, and Louis J. Gross, University of ics ofchange (available at these meetings). JetTWatt, Indiana University-Purdue Uni• Tennessee, Knoxville; Friday afternoon. The volume describes a modem calculus versity, Indianapolis, and William J. Davis, -My favorite ODE solver and why, or• course and suggests why and how a de• The Ohio State University, will be three of ganized by Courtney S. Coleman and partment might change its course. Panelists the panelists discussing their experiences Robert Borrelli, Harvey Mudd College; include Martin Flashman, Humboldt State using this technology in the teaching of Friday morning and Saturday afternoon. University, Sheldon Gordon, Suffolk Com• mathematics. -Planning reformed calculus programs: munity College, Margret Hoft, University The Women and Mathematics Pro• Experiences and advice, organized by Mar• of Michigan-Dearborn, Sharon Ross, gram: A Case History of an Intervention tin E. Flashman, Humboldt State Univer• DeKalb College, and the organizer. Program: Wednesday, 9:35 A.M. to sity; Thursday and Friday mornings. Mathematical Modeling as a Precur• 10:55 A.M., organized by Carole B. La• -The scholarship of humanistic math• sor of Mathematics Reform: Wednesday, campagne, U.S. Department of Education, ematics, organized by Alvin White, Harvey 8:00 A.M. to 9:20 A.M., organized by Henry J. and Virginia E. Knight. Meredith College. Mudd College, Joan Countryman, The Ricardo, Medgar Evers College (CUNY). Concerned with the lack of participation of Lincoln School, and Harald Ness, Univer• A close examination of both the spirit and young women in the U.S. Mathematics sity of Wisconsin Centers-Fond du Lac; content of reform materials suggests that Olympiads, the MAA and IBM developed Thursday morning and Saturday afternoon. mathematical modeling is the paradigm, an intervention program to encourage girls -Standards for introductory college explicitly or implicitly, for much of the cur• to continue the study of mathematics beyond mathematics courses before calculus, or• rent reform movement in mathematics. their sophomore year of high school. The ganized by Gregory D. Foley, Sam Hous• Panel members will discuss their experi• panel will present a case history of this pro• ton State University, and Jon Wilkin, ences in modeling and modeling education gram, Women and Mathematics-now in its Northern Virginia Community College; and address the thesis that mathematical twenty-first year of operation- and will Wednesday morning and Thursday after• modeling is both a precursor and a benefi• engage the audience in discussing future noon. ciary of mathematics reform. The panel directions for MAA activities to encourage -Teaching mathematics by blind in• consists of Ben Fusaro, Florida State Uni• women in the mathematical sciences. Spon• structors or to blind students, organized by versity, John Loase, Westchester Com• sored by the MAA Committee on the Par• Norberto Salinas, University of Kansas; munity College, William Lucas, Clare• ticipation of Women. Wednesday afternoon. mont Graduate School, and Joyce Making Teaching More Public: Thurs• McQuade, Westchester Community Col• day, 2:15 P.M. to 4:10 P.M., organized by lege. James R. C. Leitzel. Steven Dunbar, University of Nebraska-Lincoln, Miriam 25 FOCUS October 1995

Meetings Leiva, University of North Carolina-Char• preview at the Burlington Mathfest. Addi• the teaching of mathematics) began, mil• lotte, and Eli Passow, Temple University, tional contributions, which will be held in lions of dollars have been spent by acade• will discuss efforts in their departments at strictest confidence, may be sent to: David mic institutions on the purchase of com• making teaching more public. Two addi• E. Boliver, Department of Mathematics and puting technology, and thousands of pages tional panelists-Bonnie Gold, Wabash Statistics, University of Central Oklahoma, have been written on the use of technology College, a four-year college, and a repre• 100 North University Drive, Edmond, OK (together with other pedagogical methods, sentative from a two-year college- will 73034-5209; or bye-mail: dboliver@ such as cooperative learning) in the teach• give their reactions to these perspectives. aixl. ucok. edu. ing of mathematics. This panel, combining The departmental programs are being de• ILl Poster Session: Thursday, 7:00 P.M. experts in mathematics education and eval• veloped as part of a national project spon• to 10:00 P.M., organized by Earl D. Fife, uation, will address the very important issue sored by the American Association of Calvin College. The Division of Under• of evaluation. The panelists (M. Kathleen Higher Education, From Idea to Prototype: graduate Education (DUE) at the NSF will Heid, The Pennsylvania State University, The Peer Review of Teaching. The overall sponsor a poster session highlighting pro• George M. McCabe, Purdue University, project involves seven mathematics de• jects in the mathematical sciences funded David O. Tall, Warwick University, and the partments. Sponsored by the MAA Com• under the Instrumentation and Laboratory organizer) will discuss current evaluation mittee on the Teaching of Undergraduate Improvement-Leadership in Laboratory De• methods and ways that they might be tai• Mathematics. velopment (lLI-LLD) programs. Projects lored to help researchers and educators un• Case Studies in EtTective Undergrad• will be selected from those funded during derstand the results of evaluations together uate Mathematics Programs: Thursday, the past several years. Principal investiga• with ways that researchers might be able to 3: 15 P.M. to 4: 10 P.M., moderated by Alan C. tors from these grants will be present to communicate their findings to the math• Tucker, SUNY at Stony Brook, with pan• distribute materials and to speak with in• ematics community and university admin• elists David J. Lutzer, College of William terested attendees about their work. istrators at large. Sponsored by the MAA and Mary, and Linda H. Boyd, DeKalb Research Methods in Mathematics Committee on Computers in Mathematics Community College. The MAA has just Education: Friday, 8:00 A.M. to 9:20 A.M., or• Education. completed a NSF-funded case study of ef• ganized by John Selden, Mathematics Ed• Interactive Texts: Works in Progress: fective undergraduate mathematics pro• ucation Resources Company, and Annie Friday, 9:35 A.M. to 10:55 A.M., organized by grams. The primary focus was on the math• Selden, Tennessee Technological Univer• Gerald J. Porter, University of Pennsyl• ematics major. The project's site visits sity. Find out how to investigate educa• vania. Three texts being developed by par• involved programs that excelled in attract• tional conjectures from mathematicians who ticipants in the Interactive Mathematics ing and graduating large numbers of majors, are currently researching the teaching/learn• Text Project will be presented by Dan Bach, preparing students for graduate study in ing of undergraduates. James J. Kaput, Diablo Valley College, Margie Hale and mathematics, training underrepresented University of Massachusetts at Dartmouth, Michael Branton, Stetson University, and groups, and training prospective school will sketch an overview of what is (and is Kyle Siegrist, University of Alabama in mathematics teachers. not) mathematics education research and Huntsville. This project has as its goal the The Uses of History in the Teaching will describe a variety of qualitative and improvement of mathematics learning of Mathematics: Thursday, 7:00 P.M. to quantitative research methods. Ed Dubin• through the use of computer-based interac• 10:00 P.M., organized by Florence Fasanelli, sky, Purdue University, and Stephen tive texts. MAA; Victor J. Katz, University of the Monk, University of Washington, will give Project NExT - Activities and Lessons District of Columbia, and V. Frederick examples of the kinds of questions asked Learned: Friday, 9:35 A.M. to 10:35 A.M., or• Rickey, Bowling Green State University. and the research methods they personally ganized by James R. C. Leitzel, University The presenters are college and university use. Sponsored by the AMS-MAA Com• of Nebraska-Lincoln, and T. Christine faculty participating in the first cycle of a mittee on Research in Undergraduate Math• Stevens, St. Louis University. This session two-year NSF-supported MAA Institute in ematics Education (CRUME). will describe the year-long professional de• the History of Mathematics and Its Use in You're the Author; What's Next?: Fri• velopment program Project NExT. This Teaching. Papers will deal with the history day, 8:00 A.M. to 9:20 A.M., organized by program, designed for faculty just beginning of mathematics, how it can be used in the Susanna Epp, DePaul University, and Ger• their careers in postsecondary teaching, en• teaching of mathematics, and the teaching ald J. Porter, University of Pennsylvania. compasses a variety of activities, including of history of mathematics courses. They This session is intended for those who have workshops, national and regional meetings, will show the relevance of history to cur• developed, or are considering developing, and an electronic network. The program is rent changes in curricula, pedagogy, and manuscripts or other instructional material now in the middle of its second year, and the mathematical preparation of pre-col• (including electronic) for publication. Pub• this panel will report to the community on lege teachers. lished authors, mathematics editors, and the project and will detail some of the Reunion for Calculus Reform Work• representatives from authors' associations lessons learned. In addition to the organiz• shop Participants: Thursday, 7:00 P.M. to will offer advice about the perils, pitfalls, ers, who serve as codirectors of this MAA 8:30 P.M., organized by Donald B. Small, and satisfactions involved in transforming program funded by the Exxon Education United States Military Academy. the glimmer of an idea into a product to be Foundation, panelists will include several Are We There Yet? Encouraging Women proud of. Project NExT fellows. in Mathematics: Thursday, 7:00 P.M. to Evaluation of the Uses of Computers Interactive Mathematics Texts: Get• 9:00 P.M. The MAA Committee on Partic• in Mathematics Instruction: Friday, ting Students Involved: Friday, 1:00 P.M. ipation of Women (Carole B. Lacam• 9:35 A.M. to 10:55 A.M., organized by to 5: 15 P.M., organized by Ladnor D. pagne, chair) is presenting a dramatized Keith E. Schwingendorf, Purdue Univer• Geissinger, University of North Carolina, program on evolving gender issues in the sity North Central. During the ten years Chapel Hill, Marvin L. Brubaker, Messiah mathematics community, refined from a since calculus reform (and other reforms in College, and Lester J. Senechal, Mt. 26 October 1995 FOCUS

Meetings

Holyoke College. Since 1992 the MAA has The Job Market for New Ph.D.s: Sat• ODEs 2000: Saturday, 2:35 P.M. to sponsored the Interactive Mathematics Text urday, 1:00 P.M. to 2:20 P.M., organized by 3:55 P.M., organized by Courtney Cole• Project, funded by IBM and NSF. The goal Curtis D. Bennett, Bowling Green State man, Harvey Mudd College. The curricu• of this poster session is to get students more University. The difficulty new graduates lum for introductory ordinary differential involved in learning mathematics and to have finding jobs in both the academic and equations has been changing rapidly in the encourage experimenting, asking questions, industrial market is well-documented. Mem• last decade: more computer experiments, and actively searching for answers. Stu• bers of this panel will address how to suc• more visualization using computer graph• dents explore interactive texts, electronic cessfully look for a job in industry and in ics, more modeling, more use of CAS for workbooks based on a CAS. Innovative academe. solution fonnulas, less emphasis on finding books can generate focused learning envi• Coordinating Mathematics and Sci• solution fonnulas "by hand". Where is all ronments, microworlds populated by text, ence Education: Saturday, I :00 P.M. to ofthis going? What will introductory ODEs math objects and appropriate analytical 2:20 P.M., organized by Lida K. Barrett, be like in the year 2000? What should it be tools. This poster session invites reports on United States Military Academy. Much like? Robert Borrelli, Harvey Mudd Col• writing such interactive mathematics texts mathematics has been inspired by science, lege, Robert L. Devaney, Boston Univer• and their uses by instructors and students. and science is dependent on mathematics for sity, John H. Hubbard, Cornell University; Teaching Awards Presentations: Fri• its activities. Activities that highlight this re• David Lomen, University of Arizona, and day, 3:20 P.M. to 4:50 P.M. lationship will be described: an integrated David C. Arney and Frank Giordano, Actuarial Education: Friday, 5:00 P.M. first year at Rose Hulman, the use of pro• United States Military Academy, will take to 6:20 P.M., James W. Daniel, University jects from science in lower level courses at part in this discussion sponsored by CODEE of Texas. Organized by the Actuarial Fac• West Point, the mathematics across the cur• (Consortium for Ordinary Differential Equa• ulty Forum for people interested in actuar• riculum projects funded by the NSF, and the tions Experiments), which is supported in ial education, this infonnal session will pro• activities of a science center at Spelman part by grants from NSFIDUE. vide a chance to meet one another, socialize, College. Audience members will be given The Ph.D. in Mathematics Education: ask questions, share ideas, share ignorance, an opportunity to share examples of the in• Program Structures and Professional share problems, etc. terrelationship of mathematics and science Opportunities for Graduates: Saturday, Innovations in Freshman and Sopho• activities on their campuses. Panelists in• 4: 10 P.M. to 5:30 P.M., organized by Henry O. more Mathematics Instruction: Friday, clude Lynn Kiaer, Rose Hulman Institute Pollak, Teachers College (Columbia), and 7 :00 P.M. to 10:00 P.M., organized by of Technology, Richard West, United Joan Ferrini-Mundy, University of New William H. Barker, Bowdoin College. The States Military Academy, James H. Light• Hampshire. This panel will discuss the Tulane Conference, which began the current bourne, National Science Foundation, Ph.D. in mathematics education, including calculus refonn movement, occurred ten Sylvia T. Bozeman, Spelman College, and history, nature of degree programs, content years ago. The CUPM subcommittee on the organizer. in mathematics, mathematics education and Calculus Refonn and the First Two Years Technology and Mathematics Cur• education, institutional logistics, and pro• (CRAFTY) is sponsoring this poster session ricular Reform: Saturday, I :00 P.M. to fessional opportunities for graduates. in recognition of the Tulane anniversary. 5:30 P.M., organized by Marcelle Bessman, Orientation and Supervision of Part• The purpose is to disseminate infonnation Jacksonville University. The purpose of Time Instructors: Saturday, 4: 10 P.M. to about innovative programs in freshman• this poster session is to provide opportuni• 5:30 P.M., organized by Suzanne M. and sophomore-level mathematics, includ• ties for discussion and/or hands-on in• Lenhart, University of Tennessee. This ing (among others) introductory math• volvement in current teaching projects that panel will discuss issues such as: how are ematics, pre-calculus, calculus, and linear integrate technology into the instructional part-time instructors supervised? what types algebra. We invite poster displays that de• environment. It is expected that participants of orientation are given to part-time in• scribe fresh approaches to these subjects. will provide examples, hard copy or elec• structors? how widespread is the practice of Tracking Reform in Undergraduate tronic, of their techniques, strategies, etc., hiring part-time instructors? Stephen B. Mathematics Education: Saturday, for using technology as a teaching tool. Rodi, Austin Community College, and Bet• 1:00 P.M. to 2:20 P.M. Presenters for this panel Sponsored by CCIME. tye Anne Case, Florida State University, include Kenneth J. Travers, University of Quantitative Literacy Foundation will take part. Illinois at Urbana-Champaign, John A. Courses: Saturday, 2:35 P.M. to 3:55 P.M., Dossey, Illinois State University, Curtis moderated by Robert L. Bernhardt, East MAA Student Activities McKnight, University of Oklahoma, Janet Carolina University. The final report ofthe Joint Pi Mu Epsilon and MAA Student Ray, Seattle Central Community College, CUPM Subcommittee on Quantitative lit• Chapter Advisors' Breakfast: Friday, Carolyn R. Mahoney, California State Uni• eracy (QL) calls forQL as a goal for all col• 7:00 A.M. to 8:00 A.M. versity San Marcos; discussants will be lege/university graduates; achieving this Student Chapters Papers Session: Fri• Ray L. Johnson, University of Maryland goal requires a curriculum of lower-level day, 8:00 A.M. to 10:55 A.M. at College Park, James R. C. Leitzel, Uni• foundations courses, followed by designed Student Lecture: Friday, 7:30 P.M. to versity of Nebraska, and Alfredo de los sequences of upper-level courses with sig• 8:20 P.M., Richard A. Tapia, Rice Univer• Santos, Maricopa Community College, Ari• nificant quantitative content. Panelists sity, Mathematics education and national zona. This presentation will describe a NSF• Linda R. Sons, Northern Illinois Univer• concerns. funded project to develop a framework for sity, Harvey Carruth, University of Ten• Poster Session on Research by Un• producing statistical indicators to track re• nessee, Lucy L. Deephouse, Trinity Col• dergraduate Students: Saturday, 8:00 A.M. form in the first two years of undergradu• lege (Conn), and David L. Ferguson, to 10:00 A.M., organized by Judith Pala• ate mathematics. The project began in April SUNY at Stony Brook, have developed gallo, University of Akron. Undergraduate 1994; a final report is expected in Decem• foundations courses which they will dis• students will present posters describing their ber 1995. cuss with the audience. individual research projects. Posters may 27 FOCUS October 1995

Meetings also describe the way in which undergrad• Janos Pach, Hungarian Academy of Sci• Differential geometry and mathematical uate research is organized and encouraged ence, Hungary, Thursday, 3:20 P.M. relativity, Gregory James Galloway, Uni• at a given institution. Linda Preiss Rothschild, University of versity of Miami, Coral Gables; Wednesday Student Workshop on Soap Bubbles California at San Diego, La Jolla, Friday, and Thursday afternoons and Thursday and Salt Crystals: Saturday, 1:00 P.M. to 9:00 A.M. morning. 3:00 P.M., organized by Frank A. Morgan, Peter W. Shor, AT&T Bell Laboratories, Geometry, topology and analysis on non• Williams College. A single soap bubble Murray Hill, NJ, Friday, \0:05 A.M. compact manifolds, Peter E. Haskell, Vir• finds the least-area way to enclose the given ginia Polytechnic Institute and State Uni• volume of air. Similarly, the familiar dou• versity; Friday and Saturday mornings and ble bubble that forms when two single bub• AMS Special Sessions and Sessions Friday afternoon. bles come together provides the least-area for Contributed Papers Multi-dimensional complex dynamics, John way to enclose and separate the two given Mathematics and education reform, Hamal Hubbard, Cornell University, and volumes of air-or does it? This remains an William Henry Barker, Bowdoin College, Ralph W. Oberste-Vorth, University of open mathematical question today, despite Kenneth C. Millett, University of Cali• South Florida; Wednesday and Thursday significant recent progress, much of it by un• fornia, Santa Barbara, Naomi Fisher and mornings and Wednesday afternoon. dergraduates. Salt crystals are square for Philip D. Wagreich, University of Illinois, Non-selfadjoint operator algebras and their the same reason that soap bubbles are round: Chicago, and Hugo Rossi, University of applications, Timothy D. Hudson and to minimize surface energy. But for salt the Utah; Friday and Saturday mornings and Elias G. KatsouIis, East Carolina Univer• energy depends on the direction or orien• Friday afternoon. tation with respect to the underlying crys• sity; Wednesday and Thursday afternoons tal lattice. What is the optimal shape for a History of mathematics, Thomas and Thursday morning. Archibald, Acadia University, and Vic• double salt crystal? Participants will be in• Commutative algebra, Craig L. Huneke, tor J. Katz, University of the District of Co• vited to join the ranks of undergraduates cur• Purdue University, West Lafayette, and lumbia; Friday and Saturday afternoons and rently proving theorems on such questions. University of Michigan, Ann Arbor, and Saturday morning. NOTE: This workshop is for students Gennady Lyubeznik, University of Min• only! Interested students should check the Quantum information and computation, nesota, Minneapolis; Wednesday and appropriate box on the Advance Registra• Peter W. Shor, AT&T Bell Laboratories, Thursday mornings and Wednesday after• tion Form if they wish to attend. Murray Hill, NJ, and Charles Bennett, noon. IBM T. J. Watson Research Center, York• Representation theory and harmonic analy• Other MAA Activities town Heights, NY; Friday and Saturday af• sis oftopological groups, Carolyn Pfeffer ternoons and Saturday morning. Board of Governors Meeting: Tuesday, Johnston, Florida Atlantic University, and 8:30 A.M. to 4:00 P.M. Analytic methods in several complex vari• Gail D. L. Ratcliff, University of Missouri, Section Officers: Wednesday, 4:30 P.M. ables, F. Michael Christ, University of St. Louis; Friday and Saturday afternoons to 6:30 P.M. California, Los Angeles; Wednesday and and Saturday morning. Reception for Two-Year Colleges: Thursday afternoons and Thursday morn• Mathematical physics, Michael P. Loss, Thursday, 5:45 P.M. to 7:00 P.M., generously ing. sponsored by Harper Collins. Georgia Institute of Technology; Friday Recursive and feasible mathematics, Jef• and Saturday mornings and Friday after• Business Meeting: Saturday, 12:05 P.M. frey B. Remmel, University of California noon. to 12:30 P.M. at San Diego, La Jolla, and Douglas Cen• Algebra, algebra cohomology, and poly• zer, University of Florida, Gainesville; nomial identities, Lance W. Small, Uni• Wednesday and Thursday mornings and I02nd AnnualMeeting o/the AMS versity of California at San Diego, La Jolla, Wednesday afternoon. and Andy R. Magid, University of Okla• AMS Invited Addresses Knot theory, Tim D. Cochran, Rice Uni• homa; Friday and Saturday mornings and versity; Wednesday and Thursday after• Sixty-Ninth Josiah Willard Gibbs Lec• Friday afternoon. noons and Thursday morning. ture: Is field theory the answer? Is string Computational harmonic analysis and ap• theory the answer? What was the question?, Stochastic differential equations and ap• proximation theory, Richard A. Zalik and Steven Weinberg, University of Texas, plications, R. W. R. Darling and Kande• Narendra Kumar Govil, Auburn Univer• Austin; Wednesday, 8:30 P.M. thody M. Ramachandran, University of sity, Auburn; Wednesday and Thursday South Florida; Friday and Saturday after• Colloquium Lectures: Andrew J. Wiles, mornings and Wednesday afternoon. noons and Saturday morning. Princeton University; I P.M. daily, Wednes• day through Friday. Diophantine problems from different per• Contributed Papers: There will be ses• spectives, Henri Rene Darmon, McGill Henri Rene Darmon, McGill University, sions for contributed papers often minutes' University, and Andrew J. Granville, Uni• Saturday, 2: 15 P.M. duration. Contributed papers will be versity of Georgia; Friday and Saturday grouped by related Mathematical Reviews Princeton University, Philip John Holmes, mornings and Friday afternoon. subject classifications into sessions, insofar Ordinary differential equations which gen• Algebraic groups and invariant theory, as possible. The title of each paper accepted erate all knots and links, Thursday, II: \0 Amassa C. Fauntleroy and Aloysius G. and the time of presentation will be listed A.M. Helminck, North Carolina State Univer• in the program of the meeting. See the be• Irving Kaplansky, Mathematical Sciences sity; Wednesday and Thursday afternoons ginning of this article for pertinent dead• Research Institute, Berkeley, Rings and and Thursday morning. lines. things, Wednesday, \0:05 A.M. (AMS Re• Any presenter who finds it impossible to tiring Presidential Address) give the talk after the abstract has been sub- 28 October 1995 FOCUS

Meetings mitted should notify the abstracts coordi• McGill University; and Probabilistic foun• a current U.S. address. Each application nator as soon as possible at [email protected] dations for causal reasoning, Glenn Shafer, should include a curriculum vitae and a or 40 1-455-4182. Rutgers University. concise description of research; a graduate student application should include a letter Other AMS Sessions Other AMS Events of recommendation from her thesis advisor. Committee on the Profession Presenta• Council Meeting: Tuesday, 9:00 A.M. All applications must be received by tion: Wednesday, 4:30 P.M. to 6:00 P.M. to 6:00 P.M. October 1, 1995. Please send five copies of e-MATH on the World Wide Web: Business Meeting: Saturday, 12:35 P.M. the application materials to: Workshop Se• Thursday, 9:00 A.M. to 10:00 A.M., organized to 1:00 P.M. lection Committee, Association for Women by Wendy A. Bucci, and Ralph E. Youn• in Mathematics, 4114 Computer and Space gen, AMS. Discover e-MATH on the World Sciences Building, University of Maryland, Wide Web (WWW) featuring MathSciNet, Activities ofOther Organizations College Park, MD 207452-2461. Inquiries electronic versions of primary AMS jour• may be made by telephone: 301-405-7892 nals, the Society's first electronic-only jour• Association for Symbolic Logic (ASL) ore-mail: [email protected]. nal, Electronic Research Announcements Details of these sessions on Friday and Sat• of the AMS, the AMS preprint server, math• urday will be published in a future issue. National Association of ematical meetings, employment informa• Mathematicians (NAM) tion, an online membership directory, and Association for Women in Math• Board of Directors Meeting: Thursday, more! ematics (AWM) noon to 4:00 P.M. The Internet and the World Wide 25th Anniversary Special Lecture: Fri• Presentations by Recent Doctoral Re• Web: Thursday, 3:00 P.M. to 4:00 P.M., or• day, II: 10 A.M. cipients in the Mathematical Sciences: ganized by Wendy A. Bucci, and Ralph E. Seventeenth Annual Emmy Noether Friday, 2: 15 P.M. to 4:00 P.M., moderated by Youngen, AMS. This session will provide Lecture: Thursday, 9:00 A.M. Ol'ga Stella Robertson Ashford, Southern Uni• an opportunity to learn about Internet access Oleinik, Moscow University. (A dinner in versity. tools with an emphasis on the WWW: what her honor is described in the Social Events Cox-Talbot Address: Friday, 7:30 P.M. it is, what it does, and how to get there. e• section of this announcement.) after the Banquet. (See the Social Events MATH is used as the WWW model. Panel Discussion: Wednesday, 3:20 P.M. section for details on the Banquet.) Committee on Science Policy Panel Business Meeting: Wednesday, 4:20 P.M. William W.S. Claytor Lecture: Satur• P.M. P.M. Discussion: Friday, 2:30 to 4:00 Open Reception: Wednesday, 9:30 P.M. day, 9:00 A.M., The mathematics of queue• Committee on Science Policy Gov• (See the Social Events section for details.) ing networks, William A. Massey, AT&T ernment Speaker: Friday, 4:20 P.M. to 25th Anniversary Luncheon: Friday, Bell Laboratories. 5: 10 P.M., cosponsored by the Joint Policy noon. (See the Social Events section for de• Affirmative Action and Underrepre• Board on Mathematics. tails.) sented American Minorities in Math• Calculus Reform Really Work?: Does Workshop: Saturday, 9:00 A.M. to ematics at the Graduate and Professional A.M. A.M., Saturday, 8:30 to 10:00 panel dis• 5:00 P.M. With funding from the Office of Levels: Saturday, 10:00 A.M. to 10:50 A.M., cussion sponsored by the Committee on Naval Research A WM will conduct its panel discussion moderated by Robert E. Education and moderated by John H. workshop for women graduate students and Bozeman, Morehouse College. Ewing, AMS. women who have received the Ph.D. within Business Meeting: Saturday, 1:00 P.M. to the last five years. 1:50 P.M. AMS Short Course on Artificial There will be funding for travel and sub• Intelligence (AI) sistence for up to ten women graduate stu• National Science Foundation (NSF) This two-day course will be held Monday dents and ten women beyond the Ph.D. to Invited Address: Wednesday, 5:05 P.M. and Tuesday, January 8 and 9, under the di• participate in the workshop. Each partic• The NSF will also be represented at a rection of Frederick Hoffman, Florida At• ipating graduate student is invited to present booth in the exhibit area. NSF staff mem• lantic University. a poster on her thesis problem and each bers will be available to provide counsel and The purpose of this course is to expose postdoc to present a talk on her research. information on NSF programs of interest to mathematicians to several areas of AI in Participants will have the opportunity to mathematicians. The booth is open the same which mathematics figures heavily, in• present and discuss their research and to days and hours as the exhibits. Times that cluding areas where there is reciprocal ap• meet with other women mathematicians at staff will be available will be posted at the plication of AI to mathematics. The course all stages of their careers. The workshop will booth. will begin with a brief outline of AI, stress• also include a panel discussion on issues of ing relations with mathematics, given by the career development and a luncheon. All Rocky Mountain Mathematics organizer. Six additional lectures will be mathematicians (female and male) are in• Consortium (RMMC) given over the two-day course: Reasoning vited to attend the entire program even Board of Directors Meeting: Friday, about time, Martin Charles Golumbic, though only twenty women will be funded. 2: 15 P.M. to 4: 10 P.M. Bar Han University; On the use oforderings Departments are urged to help graduate stu• in automated theorem-proving, Helene dents and postdocs obtain some institutional Young Mathematicians' Network Kirchner, CRIN-CNRS and INRIA-Lor• support to attend the workshop and the (YMN) rain; Programming with constraints, meetings. Concerns of Young Mathematicians: A Catherine Lassez, IBM T. J. Watson Re• To be eligible for funding, graduate stu• Town Meeting: Wednesday, 7:15 P.M. to search Center; The basis ofcomputer vision, dents must have begun work on a thesis 8: 15 P.M., organized by Edward F. Abo• Victor Nalwa, AT&T Bell Laboratories; problem. All non-U.S. citizens must have ufadel. Outsearching Kasparov, Monty Newborn, 29 FOCUS October 1995

Meetings The Training of Teaching Assistants: This is an opportunity to make or renew ties Thursday. 2: 15 P.M. to 3: 15 P.M .• moderated with other mathematicians who are involved Joint Mathematics Meetings by Kevin E. Charlwood. St. Leo College; in educational projects. There will be a pre• Registration Fees panelists will include Edward F. Abo• sentation highlighting the current activities by al ufadel. Grand Valley State University. and future plans of the MER Network. There Nov. I' meeting will be a cash bar beginning at 6:30 P.M. Member of MAA, Other Events ofInterest Dinner will be served at 7:30 p.MTickets are AMS, ASL, Canadian Book Sales and Exhibits: All participants $39 each. including tax and gratuity. Mathematical Society $130 $169 are encouraged to visit the book. educa• A WM's 25th Anniversary Luncheon: Temporarily Employed 95 124 tional media. and software exhibits from All participants are invited to this luncheon Emeritus Member of MAA, I :00 P.M. to 5:00 P.M. on Wednesday. on Friday after the special anniversary lec• AMS; Graduate Student; 9:00 A.M. to 5:00 P.M. on Thursday and Fri• ture. Lunch will be served at noon. Tickets Unemployed; Librarian; day. and 9:00 A.M. to noon on Saturday. are $21 each. including tax and gratuity. High School Teacher; Books published by the MAA and AMS NAM Banquet: The National Associa• Third-World Country tion of Mathematicians will host a banquet will be sold at discounted prices somewhat Participant 35 45 below the cost for the same books pur• on Friday evening. A cash bar reception Undergraduate Student 20 26 chased by mail. These discounts will be will be held at 5:30 P.M., and dinner will be Nonmember 202 262 available only to registered participants served at 6:00 P.M. Tickets are $28 each. in• High School Student 2 5 wearing the official meetings badge. VISA cluding tax and gratuity. One Day Member of MAA, and MasterCard will be accepted for book AMS Banquet: As a fitting culmina• 101 sale purchases at the meeting. Also. AMS tion to the meeting. this banquet provides CMS,AMS n/a electronic products and e-MATH will be an excellent opportunity to socialize with Nonmember n/a 144 demonstrated. Participants visiting the ex• fellow participants in a relaxed atmosphere. MAA Minicourses hibits will be asked to display their meet• The participant who has been a member of Minicourses #1-5, 7-9, ing badge or acknowledgment of advance the Society for the greatest number of years II, 13. 14, 18, $45 $45* registration from the Mathematics Meet• will be recognized and will receive a spe• Minicourses #6, 10, 12. 15, ings Service Bureau in order to enter the ex• cial award. The banquet will be held on 16,17 65 65* hibit area. Saturday with a cash bar reception at *if space is available Mathematical Sciences Employment 6:30 P.M. and dinner at 7:30 P.M. Special door Register: Those wishing to participate in the prizes will range in value from $100 to AMS Short Course Orlando Employment Register should read $250. Each attendee will receive a memento Students/U nemployed/ carefully the important article about the of the occasion. Tickets are $28 each. in• Emeritus $35 $45 Register following this announcement. cluding tax and gratuity. All other participants 75 90 WaIt Disney World Tickets: A special Social Events arrangement has been made with Walt Dis• Employment Register It is strongly recommended that tickets ney World ~o provide discounted tickets es• Employer (first table) $160 $220 for these events be purchased through pecially for participants and their families. Employer (each additional advance registration. since only a very See the Disney form at the back of this issue table) 80 110 limited number of tickets, if any. will be for details. Transportation to the park can Applicant 40 75 available for sale on site. To get a 50% re• be arranged through some hotels (see the Employer Posting Fee 50 50 fund. returned tickets must be received by housing page) oron-site at the Sackett Con• the Mathematics Meetings Service Bureau vention Services desk in the Registration • Full-time Students: Those currently by December 29. After that date no re• area on Tuesday. 3:00 P.M. to 7:00 P.M., working toward a degree or diploma. funds can be made. Special meals are avail• Wednesday, 9:00 A.M. to 1:00 P.M., and Students are asked to determine whether able at all banquets upon advance request. Thursday, 9:00 A.M. to 1:00 P.M. their status can be described as graduate but this must be indicated on the Advance (working toward a degree beyond the Registration/Housing Form. Registering in Advance and Hotel bachelor's), undergraduate (working to• All participants are invited to a dinner Accommodations ward a bachelor's degree), or high school to honor A WM's Noether Lecturer on How to Register in Advance: The impor• (working toward a high school diploma) Wednesday. A sign-up sheet for those in• tance of advance registration cannot be and to mark the Advance Registra• terested will be located at the A WM table overemphasized. Advance registration fees tion/Housing Form. in the exhibit area and also at the A WM are considerably lower than the fees that will • Emeritus: Persons who qualify for panel discussion. be charged for registration at the meeting. emeritus membership in either the So• A WM Reception: There is an open re• Participants who register by November ciety or the Association. The emeritus ception on Wednesday evening at 9:30 P.M. 16 may elect to receive their programs, status refers to any person who has been This has been a popular. well-attended event badges, and any tickets for social events a member of the MAA or AMS for in the past. through the mail before the meeting. twenty years or more and who retired be• MER Banquet: The Mathematicians cause of age or long-term disability from and Education Reform (MER) Network his or her latest position. welcomes all mathematicians who are in• • Librarian: Any librarian who is not a terested in issues in precollege and under• professional mathematician. graduate mathematics education to attend the MER Banquet on Thursday at 6:30 P.M. 30 October 1995 FOCUS

Meetings • Unemployed: Any person currently un• ber of your major area of interest on the Ad• follow the instructions. Or you may send a employed. actively seeking employment. vance Registration/Housing Form. (A list of message to [email protected] requesting the and not a student. It is not intended to in• these numbers appears on the back of the form. A reply will be sent with the electronic clude any person who has voluntarily AMS and MAA abstract forms.) form and instructions on how to complete resigned or retired from his or her latest it. Credit card is the ONLY method of position. Advance Registration Deadlines payment which can be accepted for elec• • Third-World Country Participant: There are three separate advance registra• tronic registration. Forms received through Those from the third world where salary tion deadlines. each with its own advan• this method will be treated in the same man• levels are radically noncommensurate tages and benefits: ner as forms received through U.S. mail. and with those in the U.S. EARLY advance registration the same deadlines apply. Receipt of the • Temporarily Employed: Any person (room lottery) October 31 form and payment will be acknowledged by currently employed but who will be• ORDINARY advance registration the MMSB. come unemployed by June I. 1996. and (hotel reservations. materials All advance registrants will receive ac• who is actively seeking employment. mailed. tickets) November 16 knowledgment of payment prior to the meet• Note: Those registering at the non- FINAL advance registration ings. member rate will receive mailings from (no housing. tickets. or Those registering by November 16 will AMS and MAA after the meetings are over inclusion in the Winter receive their badges. programs. and pre• containing information about a special Lists for the Employment purchased tickets by mail two to three weeks membership offer. Register) December 13 before the meetings. unless they check the Advance registration and on-site regis• Early Advance Registration: Those appropriate box to the contrary on the Ad• tration fees only partially cover expenses of who register by the EARLY deadline of vance Registration/Housing Form. Because holding meetings. All mathematicians who October 31 will be included in a drawing to of delays that occur in U.S. mail to Canada. wish to attend sessions are expected to reg• select randomly winners of complimentary it is strongly suggested that advance regis• ister and should be prepared to show their hotel rooms in Orlando. Multiple occupancy trants from Canada choose to pick up their badge if so requested. Badges are required is permissible. The location of rooms to be materials at the meetings. There will be a to enter the exhibit area. to obtain discounts used in this lottery will be based on the special Registration Assistance desk at the at the AMS and MAA Book Sales. and to number of complimentary rooms available Joint Meetings to assist individuals who ei• cash a check with the Joint Meetings cashier. in the various hotels. Therefore. the free ther do not receive this mailing or who have If a registrant should arrive too late in the room may not necessarily be in the winner's a problem with their registration. Please day to pick up his/her badge. he/she may first choice hotel. The winners will be no• note that a $3 replacement fee will be show the acknowledgment of advance reg• tified by mail prior to December 31. So charged for programs and badges that are istration received from the MMSB as proof register early! (See the list of the winners mailed but not taken to Orlando. of registration. in San Francisco on the hotel page.) Participants who did not reserve a room Registration forms received well before Ordinary Advance Registration: during advance registration and would like the deadline of November 16 which are not Those who register after October 31 and by to obtain a room at one of the hotels listed accompanied by correct payment will be the ORDINARY deadline of November 16 on the following pages should call the ho• returned to the participant with a request for may use the housing services offered by tels directly after December 13. However. resubmission with full payment. This will. the MMSB but are not eligible for the room after that date the MMSB can no longer of course. delay the processing of any hous• lottery. guarantee availability of rooms or special ing request. If time will not allow return of Final Advance Registration: Those convention rates. the form. a $5 charge will be imposed for who register after November 16 and by the Participants should be aware that it is all invoices prepared when advance regis• FINAL deadline of December 13 must pick general hotel practice in most cities to hold tration forms are submitted with insuffi• up their badges. programs. and any tickets a nonguaranteed reservation until 6:00 P.M. cient payment. We are sorry. but it is not for social events at the meetings. Unfortu• only. When one guarantees a reservation by possible for the MMSB to refund amounts nately. it is not possible to provide FINAL paying a deposit or submitting a credit card less than $2. advance registrants with housing. nor will number as a guarantee in advance. how• Participants should check with their tax applicant or employer forms be reproduced ever. the hotel usually will honor this reser• preparers for applicable deductions for ed• in the Winter Lists for the Employment vation up until checkout time the following ucation expenses as they pertain to these Register. Please note that the December day. If the individual holding the reserva• meetings. 13 deadline is firm; any forms received tion has not checked in by that time. the There is no extra charge for members of after that date will be returned and full room is then released for sale. and the hotel the families of registered participants. ex• refunds issued. retains the deposit or applies one night's cept that all professional mathematicians Electronic Advance Registration: A room charge to the credit card number sub• who wish to attend sessions must register form and instructions on how to complete mitted. independently. Please indicate names for it are on the e-MATH Gopher. They may If you hold a guaranteed reservation at guest badges on the Advance Registra• be accessed either by Gopher e• a hotel but are informed upon arrival that tion/Housing Form located in the back of math.ams.org if your system has a Gopher there is no room for you, there are certain this issue. client or by telnetting to e-math (login and things you can request the hotel do. First, There will be a list of advance regis• password are both e-MATH) and selecting they should provide for a room at another trants sorted by area of mathematical Gopher from the main menu. Then select hotel in town for that evening at no charge. interest posted at the meetings. If you wish Mathematical Sciences Meetings and Con• (You have already paid for the first night to be included in this list. please provide the ferences from the Gopher menu; select Reg• when you made your deposit.) They should Mathematical Reviews classification num- istration Forms from the meeting menu and pay for taxi fares to the other hotel that 31 FOCUS October 1995

Meetings evening and back to the meetings the fol• A Parent/Child Lounge will be located ings to the director of meetings in the Prov• lowing morning. They should also pay for in the Clarion Plaza. This room will be fur• idence office. Since space is limited, it may one telephone toll call so that you can let nished with casual furniture, a crib, a chang• also be necessary to limit the number of people know you are not at the hotel you ex• ing area, and a VCR and monitor for view• volunteers present at the table at anyone pected. They should make every effort to ing videotapes. Tapes appropriate for time. The Committee on Human Rights find a room for you in their hotel the fol• children can be checked out at the audio-vi• may delegate a person to be present at the lowing day and, if successful, pay your taxi sual section of the Registration Desk. Any table at any or all times, taking precedence fares to and from the second hotel so that child using this lounge must be accompa• over other volunteers. you can pick up your baggage and bring it nied by a parent (not simply an adult) who Any material which is not a petition to the first hotel. Not all hotels in all cities must be responsible for supervision of the (e.g., advertisements, resumes) will be re• follow this practice, so your request for child. This lounge will be unattended, and moved by the staff. At the end of regis• these services may bring mixed results or parents assume all responsibility for their tration on Saturday any material on the none at all. children. This lounge will be open only dur• table will be discarded, so individuals The AMS-MAA Joint Meetings Com• ing the hours of registration, and all persons placing petitions on the table should be mittee always endeavors to obtain the low• must leave the lounge at the close of regis• sure to remove them prior to the close of est possible sleeping room rates for partic• tration each day. registration. ipants at annual meetings. The committee Information Distribution: Tables are Telephone Messages: The most conve• is also responsible for maintaining a sound set up in the exhibit area for dissemination nient method for leaving a messages to do fiscal position for these meetings. As the of general information of possible interest so with the participant's hotel. Another meetings have grown in scope and com• to the members and for the dissemination method would be to leave a message at the plexity over the years, the committee has of information of a mathematical nature Meetings Registration Desk from January arranged for all of the hotels to collect an not promoting a product or program for 9 through 13 during the hours that the Desk extra $3 per room per night from partici• sale. is open. These messages will be posted on pants, which will be used to offset the gen• If a person or group wishes to display in• the Math Meetings Message Board, how• eral meeting's expenses. (The rates quoted formation of a mathematical nature pro• ever, staff at the desk will try to locate a par• on the hotel information page include this moting a product or program for sale, they ticipant in the event of a bona fide emer• extra charge.) may do so in the exhibit area at the Joint gency. The telephone number at the desk Books, Journals, and Promotional Materi• will be published in a future issue. Miscellaneous Information als exhibit for a fee of $35 per item. Please Travel: The Orlando International Air• Audio-Visual Equipment: Standard equip• contact the Exhibits Manager, MMSB, P.O. port is located in the city and served by ment in all session rooms is one overhead Box 6887, Providence, RI 02940, for fur• major airlines. projector and screen. (Invited 50-minute ther details. USAir has been selected as the official speakers are automatically provided with If a person or group would like to dis• airlines for these meetings because of its two overhead projectors.) Blackboards are play material in the exhibit area separate generally convenient schedule to Orlando. not available. Participants who require from the Joint Books table, the proponent Given the volatility in airfares because of audio-visual assistance should come to the must reimburse the AMS and MAA for any "fare wars", we cannot guarantee that these Registration Desk. extra furnishings requested (tables, chairs, will be the lowest fares when you make MAA speakers requiring additional easels, etc.) in addition to payment of the your arrangements. However, we strongly equipment may make written requests for $35 per item fee. (This latter display is also urge participants to make use of this special one additional overhead projector/screen, subject to space availability.) deal if at all possible, since the AMS and 35mm carousel slide projector, or VHS The administration of these tables is in MAA can earn complimentary tickets on video cassette recorder with one color mon• the hands ofthe AMS-MAA Joint Meetings USAir. These tickets are used to send itor. Such requests should be addressed to Committee, as are all arrangements for Joint meetings' staff (not officers or other staff) the MAA associate secretary (Donovan Van Mathematics Meetings. to the Joint Mathematics Meetings, there• Osdol, Department of Mathematics, Uni• Petition Table: At the request of the by keeping the costs of the meeting (and versity of New Hampshire, Durham, NH AMS Committee on Human Rights of registration fees) down. 03824; e-mail: [email protected]. Mathematicians, a table will be made avail• The following specially negotiated rates edu). These requests should be received by able in the exhibit area at which petitions are available only for this meeting and ex• November 6. All other speakers requiring on behalf of named individual mathemati• clusively to mathematicians and their fam• additional equipment should contact the cians suffering from human rights viola• ilies for the period January 7-16, 1996: 5% audio-visual coordinator for the meetings at tions may be displayed and signed by meet• discount off first-class and any published the AMS office in Providence at 40 1-455- ings participants acting in their individual USAir promotional round-trip fares, or 10% 4142, or bye-mail at [email protected] by capacities. For details contact the director discount off unrestricted coach fares with November 9. of meetings in the Providence office at 40 1- seven-day advance reservations and ticket• Speakers are cautioned that requests for 455-4137 or bye-mail at [email protected]. ing required. These discounts are valid pro• equipment made at the meetings may not be Signs of moderate size may be displayed viding all rules and restrictions are met and satisfied because of budgetary restrictions. at the table but must not represent that the are applicable for travel from the continen• Child Care: Many hotels have a list of case ofthe individual in question is backed tal U.S., Bahamas, Canada, and San Juan, bonded child care services. Participants by the Committee on Human Rights unless P.R. Discounts are not combinable with should inquire at their hotel and are re• it has, in fact, so voted. Volunteers may be other discounts or promotions. Additional sponsible for making individual arrange• present at the table to provide information restrictions may apply on international ments. on individual cases, but notice must be sent travel. For reservations call (or have your at least seven days in advance of the meet- travel agent call) 800-334-8644 between 32 October 1995 FOCUS

Meetings

8:00 A.M. and 9:00 P.M. Eastern Standard free) and the transfer fee is $.10. For further fees for other optional items are additional. Time. Refer to Gold File Number information on the LYNX, call 407-841- Rates are higher for renters under age 25. 41380104. 8240. Orlando International Airport imposes a tax Ground Transportation: Taxicabs can Alamo Rent·A·Car is offering special of 8.64% which applies only if you choose be hailed from the sidewalk on Level 2 of low car rental rates for the meeting, effec• to take the Alamo shuttle bus to the rental the Orlando International Airport. Rates for tive one week before and one week after the counter (the distance is not easily walkable). taxi service average $2.50 for the first mile meetings. All Alamo rentals included un• Weekly rates require a five-day minimum and $1.50 for each additional mile trav• limited free mileage. To take advantage of rental. A 24-hour advance reservation is re• elled. Cost of a taxicab from the airport to these special rates and to receive more in• quired. Availability of these rates is limited. International Drive ranges approximately formation, call 1-800-732-3232. The group International reservation requests may be from $28 to $32 (three-person maximum) ID# is 247733, rate code GR, have the reser• faxed to 305-527-4700. one way. Shuttle and limousine fares from vation agent check Rate Code IG for addi• Driving Directions: Driving directions the airport to International Drive range from tional convention discounts that may apply. from airport to the Orange County Con• $10 to $25 for adults and $5 to $15 for chil• Car Rental Rates Daily Weekly vention Center: Take 528W (The Beeline dren. For further information on these shut• Economy $20 $ 80 Expressway) and take the exit marked "Con• tles, call Mears Transportation at 407-839- Compact 23 100 vention Center/Seaworld" to International 1570 or Transtar Transportation at Midsize 25 120 Drive. The Convention Center is at 9800 In• 407-856-7777. Participants up and down Full size 29 135 ternational Drive. The drive from the airport International Drive may use shuttles for Convertibles 39 199 to the Convention Center takes approxi• transportation to the Convention Center. Vans 39 199 mately 10-15 minutes. Shuttles depart every 15 minutes from Kirk• Luxury 55 299 Railway Transportation: For Amtrak man Road on the north and Sea World on Add $2/day and $1 O/week for four-door information call 800-872-7245. the south end of International Drive. Par• models in midsize, full size, and lUxury cat• Weather: During January, average daily ticipants may also use the LYNX public egories. Special rates include $3,000 max• temperatures in Orlando range between transportation which serves Oakridge and imum personal responsibility should CDW 49°F and 6TF. Humidity is between 61 % International Drive. Cash fare is $.75 per be declined. Taxes, waiver savers at and 84%. person (children 6 years and younger ride $14.99/day or less, fuel, drop charges, and ORLANDO FLORIDA

+JOINT+ MATH EMATICS MEETINGS JANUARY 10-1). 1996

Sand Lake Road 1 . Clarion Plaza Hotel

2. Country Hearth Inn

3. Days Inn Civic Center

4. Howard Johnson South International

5. The Peabody

6. Quality Inn Plaza International

7. Red Roof Inn

8. Sheraton World Resort

9. Wynfield Inn Westwood To Airport ---+

\~·'nt.,mat",na' Onve

33 ~ ~ o n ~ How to Obtain Hotel Accommodations 'J:J

Room Lottery Winners: The following panicipants received complimentary hotel rooms in General Instructions: Panicipants must register in advance in order to obtain hotel the San Francisco room lottery: (See the How to R~gislerin Advance section to learn how to qualify for accommodations through the Mathematics Meetings Service Bureau (MMSB). Special meeting rates at the this year's lottery.) botels listed below can be obtained only by making reservations through the MMSB. Participants interested in suites are urged to call the hotels directly for details on configurations. prices. etc.; however. SerJiu Aizicovici. Maria Allegra. Jonathon Alperin. Tuna Altinel. Julia Barnes. all hotel reservations can only be made by completing !be Housing section of !be Advance Robert Bernhardt.Abbay Gaur. Robert Hemminger. James Hoffman. Jim Humphreys. Registration/Housing (ARH) Form by November 16. Reservations. based on availability. will be accepted P. Narayanaswami. Muriel Rose. William Singer. Ed Wolff. Gary Walls. and Yu. Xiaokong. by botels directly after December 13.

Rates: Room Payments/Cancellations: Guarantee Requirements: subject to 11 % sales/occupancy tax (12% at Peabody and all major credit cards one night deposit by check Clarion) personal checks with personal 10 and/or credit card backup credit card: VISA. MC. AMEX (cards may be charged one night include $3 fee to offset general meeting expenses (see How to 72-hour cancellation policy deposit) Register in Advance section for explanation) only certified students or unemployed matbematicians qualify for listed student rates see ARH Fonn for detailed rate structure of each property Hotel Information: Special Services: Deadlines: children free. where appropriate. in existing beds only all hotels are working towards being in compliance with the room lottery qualification: October 31 limited nonsmoking rooms Americans witb Disabilities Act (ADA) reservations througb MMSB: November 16 free parking except for valet special needs should be clearly indicated on the ARH fonn changes/cancellations through MMSB: December 8 check-in: 3 or 4 p.m. / check-out: II a.m. or noon convention rates based on availability only after December 13 see map for distances to Convention Center The Peabody Clarion Plaza Sheraton World Country Hearth Inn Days Inn Civic Center 9801 International Drive (headquarters) 9990 International Drive 10100 International Drive Orlando. FL 32819 9861 International Drive Orlando. FL 32819 (407) 345-4520 Orlando. FL 32821-8095 (407) 352-8700 9700 International Drive (407) 352-1100. (800) 327-0363 Orlando. FL 32819 single/double - $105 Orlando. FL 32819-8114 (407) 352-0008. (800) 447-1890 single/double - $61 single/double - $85 (407) 352-9700. (800) 366-9700 student single/double - $75 single/double - $73 restaurants. lounges. recreation floor single/double - $99 outdoor pool. restaurant. double beds in (incl. pools. athletic club. tennis courts. student single/double - $88 all rooms. free parking. safes in all game room). valet parking - $7 per day restaurant. lounge. deli & quick mart. rooms. laundry. children stay and eat tennis courts. fitness room. outdoor restaurant. lounge. outdoor pool. safes (in/out). windows open. dataports. servi restaurants. lounge. outdoor pool. deli & and refrigerators in all rooms. dataports free-under 13 yrs. (limit I child per adult bars and hair dryers in all rooms. heated pools. playground. miniature eats free) mini-market. valet parking - $5.50 per golf. refrigerators. safes. coffee makers. in all rooms. $10 key deposit required discounted shuttles to Disney parks. day (in/out). discounted shuttles to upon check-in (returned upon check- cbildren free-under 19 yrs. and dataports in all rooms. free shuttles Disney parks. children free-under 16 yrs. to Disney parks. children free-under 18 out). discounted shuttles to attractions. yrs. children free-under 18 yrs. Howard Johnson Wynfield Inn Westwood Red Roof Inn Quality Inn Plaza New! Attention Students! International South 9922 Hawaiian Court As an alternative to !be housint. choices 9956 Hawaiian Court 6263 Westwood Boulevard Orlando. FL 32819 9000 International Drive (407) 352-1507 liated • we offer you !be Youth osteI· Orlando. FL 32819 Orlando. FL 3282 I Orlando. FL 32819 Plantatlon located 227 North single/double - $53 Manor at (407) 351-5100. (800) 826-4847 (407) 345-8000. (800) 346-1551 (407) 345-8585. (800) 999-8585 Eola Drive. Orlando. FL 32801. (407) single/double - $60. suites - $80 single/double - $55 single/double - $34 843-8888. It offers dormitory-style (suites based on availability only) accommodations with separate men's and outdoor pools. laundry. game room. free outdoor pool. jacuzzi. dataports in some restaurant (breakfast/dinner). deli & mini- women's facilities. self-service kitchen. suites sleep six. outdoor pool. jacuzzi. shuttles to Disney parks. complimentary rooms. children free-under 18 yrs. market. safes and two double beds in all laundry. linen rental. lockers/baggage dining room (breakfast only). children coffee and tea 24 hrs. a day. children rooms. outdoor pools. game room. storage. and free parking. Rate is $10 + free-under 18 yrs. free-under 18 yrs. laundry. discounted shuttles to Disney tax per person for members and parks. children stay and eat free-under 12 Intematioual passport carriers. For yrs. (limit 2 children per adult eat free) reservations and/or further information. call directly. go -_.- _. r: ~ "'I .... \C \C til Personal Information

Advance Registration Name Membership v' all that apply and Housing Form Mailing Address ______AMS 0 for the ASL 0 "oint Mathematics Telephone e-mail ______AWM 0 Meetings AMS Customer Code ______CMS 0 aadge Affiliation ______Orlando, Florida MAA 0 Information Please limit affiliation to 35 characters "anuary 10-13,1998 NAM 0 Nametoappearonbadge ______MR field of interest # Guest Badge ______

H you do not wish your progl'llm and badge to be mailed to you on 12113, place a check In the box. D Registration Fees Event Tickets "oint M_tlngs by Dec 13 at meeting Event , Tlx PrIce Per Total o Member AMS, ASL, CMS, MAA $130 $169 AMS Banquet o Nonmember $202 $262 Regular $28 o Graduate Student $ 35 $ 45 Vegetarian $28 o Undergraduate $ 20 $ 26 Kosher $28 o High School Student $ 2 $ 5 AWM 25th Anniversary Luncheon o Unemployed $ 35 $ 45 Regular $21 o Temporarily Employed $ 95 $124 Vegetarian $21 o Third World Fee $ 35 $ 45 Kosher $21 o Emeritus Member of AMS or MAA $ 35 $ 45 MER Banquet , o High School Teacher $ 35 $ 45 Regular $39 • o Librarian $ 35 $ 45 Vegetarian $39 o One-day Member $101 Kosher $39 j o One-day Nonmember $144 Coupon Discount - $ 2 o Exhibitor $ 0 NAM Banquet Regular $28 AMS Short Course on Artificial Intelligence Vegetarian $28 o Member, Nonmember $ 75 $ 90 Kosher $28 o Student, Unemployed, Emeritus $ 35 $ 45 TOTAL for Event Tickets $-- Employment Register Disney Tickets: See separate form in this issue. (Registration for the Joint Meetings is required for participa• tion. Applicant Resume forms and Employer job listing forms are located elsewhere in this issue and on e-Math.) Total Payment o Employer - First Table $160 $220 Category Total o Employer - Second Table $ 80 $110 o Employer - Posting Only $ 50 $ 50 Registration Fee(s) Applicant $ 40 $ 75 o Employment Register

Student Activities Event Tickets o Mathchats (no charge) Hotel Deposit (only if paying by check) o MAA Student Workshop (no charge) TOTAL Amount Due $,--- • MAA Minicourses: See separate form in this issue. Method of Payment Statistical Information: o Check. Make checks payable to the AMS. Canadian o I am a mathematics department chair. checks must be marked "U.S. Funds". o Credit Card. VISA and MasterCard accepted. Deadlines Card Number: Card Type: ______Expiration Date: ____ Room Lottery Deadline October 31, 1995 Regular Advance Registration Signature: (See details in this issue) November 16, 1995 Name on Card: ------Housing Changes/Cancellations through MMSB December 8,1995 o Purchase Order # ------(please enclose copy) Final Advance Registration (See details in this issue) December 13, 1995 PI.... complete this form and retum It to: 50% Refund on Banquets December 29, 1995* Mathematics Meetings Service Bureau (MMSB) 50% Refund on Advance Registration January 5, 1996* p. O. Box 6887 *no refunds after this date Providence, Rhode Island 02940 401-455-4143 or 1-800-321-4267 x4143 35 • o~ n ~ rJ1

To ensure accurate assignments, please rank hotels in order of preference by writing 1, 2, 3, etc., in the spaces at the left of the form and by circling the requested room type and rate. If the rate or the hotel requested is no longer available, you will be assigned a room at a ranked or unranked hotel at a comparable rate. Rates listed below are subject to 12% sales/occupancy tax at the Peabody and the Clarion, and 11 % at all other properties. Participants are urged to call the hotels directly for details on suite configurations, sizes, etc. However, reservations for regular sleeping rooms and suites must be made through the MMSBto receive the convention rates listed. Guarantee requirements: First night deposit by check (add to payment on reverse of this form), or a credit card guarantee. o Deposit enclosed o Hold with my credit card Card Number Exp. Date ______Date and Time of Arrival Date and Time of Departure ______

Name of Other Room Occupant Arrival Date ______Departure Date ______Spouse 0 ChilL- (give age) Name of Other Room Occupant Arrival Date ______Departure Date ______Spou_ 0 Chlld __ (glve age)

Orderof choice Hotel Single Double- 1 Bed Double-2 beds Triple- 2 beds Triple-2beds w/cot Quad-2 beds Quad-2 bedsw/cot Su~es(starting rates)

The Peabody $105 $105 $105 $120 $135 $120 $135 $395+

The Clarion(Headquarters) $99 $99 $99 $105 $120 $111 $126 $200+

Clarion- Student $88 $88 $88 $94 $109 $100 $115 NlA

SheratonWorld $85 $85 $85 $85 $100 $85 $100 $210+

SheratonWorld - Student $75 $75 $75 $75 $90 $75 $90 NlA I

CountryHearth Inn $73 NlA $73 (limited) $83 NlA $93 NlA NlA

Days Inn $61 NlA $61 $61 $67 $61 $67 NlA

HowardJohnson $60 $60 $60 $66 $66 (sleeperroom) $72 $72 (sleeperroom) $80

WynfieldInn Westwood $55 $55 $55 $55 $65 $55 $65 NlA

Red Roof Inn $53 $53 $53 $53 $58 $53 $58 NlA

QualityInn $34 NlA $34 $34 $40 $34 $40 NlA ot':I

- - S' c:r .,~ Special Housing Requests If you do not need reservations, please check off one of the following: ~ o I will be making my own reservations at a hotel not listed. Name of hotel: ______~ o I live in the area or will be staying privately with family or friends. Ul o I plan to share a room with , who is making reservations. CTHE WALT DISNEY CO~ANY

Order Your Passport To A World Of Fun! To make your trip to the WALT DISNEY WORLD Theme Parks even more magical, we've created special-discount Meeting/Convention Passports just for JOINT MATHEMATICS MEETINGS Pricing reflected is tax inclusive, and tickets will be valid JANUARY 6-17, 1996. Choose From: More than $15.00 in savingsl FOUR-DAY-ALL THREE PARKS Meeting/Convention Combination Passport Plus Pleasure Island Includes unlimited admission to MAGIC KINGDOM Park, EPCOT Center, Disney-MGM Studios, PLUS one visit to Pleasure Island. ADULT PRICE: $137.79 CHILD PRICE: $ 110.22 (3-9 years) More than $15.00 in savingsl THREE-DAY-ALL THREE PARKS Meeting/Convention Combination Passport Plus Pleasure Island Includes unlimited admission to MAGIC KINGDOM Park, EPCOT Center, Disney-MGM Studios, PLUS one visit to Pleasure Island. ADULT PRICE: $ 111.01 CHILD PRICE: $ 88.81 (3-9 years) EXCLUSIVE OFFERI TWO-DAY Meeting/Convention Combination Passport Includes unlimited visits to MAGIC KINGDOM Park, EPCOT Center, and Disney-MGM Studios. ADULT PRICE: $ 73.99 CHILD PRICE: $ 59.18 (3-9 years)

Magic Kingdom EPCOT Center Disney-MGM Studios Pleasure Island Detach bottom portion and return order form with your payment. Advance Purchase Tickets For JOINT MATHEMATICS MEETINGS WALT DISNEY WORLD RESORT TICKET ORDER FORM I would like to order the following tickets for my upcoming event: TWO DAY MEETING/CONVENTION COMBINATION PASSPORT NAME: ------# ___ Adult tickets @ $ 73.99 $ ADDRESS: ------# Child tickets @ $ 59.18 $ ____ THREE DAY-ALL THREE PARKS MEETING/CONVENTION TELEPHONE: ______COMBINATION PASSPORT (INCLUDES PLEASURE ISLAND) # Adult tickets @ $111.01 $ ____ METHOD OF PAYMENT: # Child tickets @ $ 88.81 $ ______Check (Made payable to: WALT DISNEY WORLD CO.) FOUR DAY-ALL THREE PARKS MEETING/CONVENTION AMEX Master Card Visa COMBINATION PASSPORT (INCLUDES PLEASURE ISLAND) CHECK NUMBER # _____ CHECK TOTAL $ ______# Adult tickets @$137.79 $ ____ Credit Card#: ______# Child tickets @ $110.22 $ ____ Postage & Handling $ 2.00 Expiration Date: ______Price listed includes tax. TOTAL $ Signature: ______Please return completed form and payment by DECEMBER 6, 1995 to WALT DISNEY WORLD Ticket Mail Order / P.O. Box 10030/ Lake Buena Vista, FL 32830. Allow 2 weeks for delivery. Note: Specially priced combination tickets are available only by returning this order form with full payment by DECEMBER 6, 1995 and are not available at the front gates. JMM ©THE WALT DISNEY WORLD COMPANY FOCUS October 1995 MAA Minicourse Advance Registration Form, Orlando, Florida January 10-13, 1996

Note: This is NOT the AMS Short Course Form, Please use the Joint Meetings Advance Registration/Housing Form to register in advance for the AMS Short Course.

To register for MAA Minicourse(s), please complete THIS FORM or a PHOTOCOPY OF THIS FORM and return with your payment to: Minicourse Coordinator Mathematical Association of America 1529 Eighteenth Street, NW Washington DC 20036 (202) 387-5200; 1-800-331-1622

Telephone: ______(Please print) Surname First Middle

Street Address City State Zip

• Deadline for MAA Minicourse Advance Registration: November 17, 1995 (After this date, potential participants are en• • Deadline for cancel1ation in order to receive a 50% refund: December 29,1995 couraged to call the MAA headquarters at 1- • Each participant must fil1 out a separate Minicourse Advance Registration Form. 800-331-1622, for availability of minicourses.) • Enrol1ment is limited to two minicourses, subject to availability.

Please complete the following: I would like to attend 0 I minicourse o 2 minicourses Please enrol1 me in MAA Minicourse(s): # and # In order of preference, my alternatives are: # and #

• PAYMENT Check enclosed: $ Credit Card Type: o Mastercard o Visa

Credit card # ______Expiration date: ______

Signature: ______

Minicourse Organizer Fee I. How to use computer-based numerical, graphical, and computer, etc. B. Waits & w. Ellis, Jr. $45 2. An Activity-based approach to teaching introductory statistics A. Watkins, M. Gnanadesikan, & R. Scheaffer $45 3. Hands-on activities for developmental mathematics courses R. Dance & J. Sandefur $45 4. Interdisciplinary lively applications D. Arney & F. Giordano $45 5. Business Calculus: A new real-data/model-building approach D. LaTorre, J. Kenelly & I. Feta $45 6. Workshop mathematics: using new pedagogy and technology. etc. N. Hastings & A. Rossman $65 7. The historical development of the foundations of mathematics R. Brabenec $45 8. Cooperative Learning in undergraduate mathematics education B. Reynolds, J. Ray & E. Dubinsky $45 9. Calculus for the 21 st century D. Smith & L. Moore $45 10. Mathematical algorithms, models, and graphic representations using spreadsheets S. Arganbright, E. Neuwirth, and R. Smith $65 II. Earth math: Applications of precalculus mathematics to environmental issues N. Zumoff & C. Schaufele $45 12. The use of symbolic computation in probability and statistics E. Tanis & Z. Karian $65 13. Fibonacci Catalan numbers R. Grimaldi $45 14. Learning to write good test items that allow or require the use of technology J. VanDever & R. Hamm $45 15. Dynamic geometry with Cabri Geometer J. King $65 16. Contemporary calculus through applications using the TI-82 K. Bartkovich & D. Teague $65 17. Using a laboratory approach to teach basic concepts of group theory E. Parker $65 18. Training tools for mathematics TA workshops M. McCollum $45 38 October 1995 FOCUS

Mathematical Sciences is operated by members of the AMS staff advance by mail. Advance registration for under the general supervision of the AMS• the Employment Register will continue until Employment Register MAA-SIAM Committee on Employment the final registration deadline of December Orange County Convention Center Opportunities. 13, 1995; however. the Resume Form will Orlando, Florida All interviewing employers and appli• NOT be included in the Winter List but will January 10,11, & 12, 1996 cants MUST appear at the Employment be posted on site at the Employment Reg• Overview of the Employment Register Desk to submit their request/avail• ister. Those who do not register by De• Register ability sheets by 4:00 p.m. Wednesday. Jan• cember 13 must register on site at the Joint uary 10. 1996. regardless of whether they Meetings Registration Desk and pay the The Mathematical Sciences Employment have registered in advance. Those who will higher fees. Register. held annually at the Joint Math• not be able to appear on Wednesday should ematics Meetings in January, provides op• not plan to participate. Should unexpected Advice to Applicants portunities for mathematical scientists seek• delays occur while travelling. contact the Applicants should be aware of some ob• ing professional employment to meet Employment Register Desk by telephone at jective information concerning recent Em• employers who have positions to be filled. 401-455-4107 before 4:00 p.m. EST on ployment Registers: Job announcements and brief resumes, pre• Wednesday. January 10. • At the 1995 Employment Register in pared by employers and applicants respec• San Francisco. the ratio of applicants to in• tively. are assigned code numbers and cir• Advance Registration Procedures terviewers was more than six applicants to culated to participants in advance and at for Applicants one interviewer. the meetings so that members of each group Advance registration is an important step in • The employers who responded to the may determine which members ofthe other Employment Register participation that of• 1994 follow-up survey (76%) reported giv• group they would like to have an opportu• fers several advantages: ing 134 invitations for on-campus inter• nity to interview. Requests for interviews are Advance registration fees for applicants views to Employment Register applicants. submitted on forms that are turned in at the are $40 plus Joint Meetings registration fee and they reported making 88 job offers to Employment Register Desk by all partici• vs. $75 on-site registration fee plus Joint applicants. pants the day before interviewing begins. Meetings registration fee. • In San Francisco the average total num• The algorithm used in the interview • Applicant Forms are now available ber of interviews for each applicant was scheduling program selects interviews electronically on e-MATH. and they can just under five. Typically just under half of solely from among the requests submit• also be submitted electronically. To access all applicants are not requested for inter• ted by employers and applicants. Since it e-MATH: If you have a browser (such as viewing by any employer; therefore. their does NOT compare an applicant's brief Mosaic). the URL is http://www.ams.org/. schedule is based on their own requests. resume with an employer's job an• If not. use Telnet: tel net e-math.ams.org. Applicants with a schedule of over five or nouncement, participants should be Login and password are both e-math (low• six interviews are those who were requested aware that interviews between poorly ercase). If you have e-MATH questions. by a number of employers. matched participants may occur, if re• send them to [email protected]. • Most jobs listed required a doctorate. quested. All participants are strongly ad• • Each Applicant's Resume Form will be • Most jobs listed have been academic vised to choose interview requests carefully reproduced in a booklet. the Winter List of positions at bachelor's-granting institutions. to maximize the effectiveness of the Em• Applicants. and distributed to all registered • Over 60 percent of the employers in• ployment Register system. employers. Applicant Resume Forms re• terviewing at the Employment Register in Priority is given to certain classes of em• ceived after November 16. 1995. cannot be San Francisco indicated that they were re• ployer and applicant requests. Specifically. included in the booklet. The booklet allows stricted by their institution or company to mutual requests (requests where an appli• employers more time to examine each can• hiring only U.S. citizens or permanent res• cant and employer have each asked to in• didate's qualifications in advance. idents. terview the other) are virtually assured of • Applicants registered in advance will Applicants should obtain their materials being scheduled. Employer requests are receive their badges. programs, and Em• in time to examine all job listings carefully also given priority. as are the requests by ap• ployment Register materials two to three and to make interview requests appropri• plicants that applicants designate as "high weeks in advance of the meeting. unless ately. They are likewise encouraged to com• priority". Under this scheduling system in• they request otherwise. The package will in• plete the Applicant Resume Form carefully troduced in 1993. employers have inter• clude the complete job announcements re• to ensure that employers are aware of any viewed 100 percent of the applicants they ceived from employers registered by No• geographical or other restrictions they may requested (who were actually present at the vember 16. have. along with any special experience or Employment Register). The system is based Applicants may register in advance by qualifications they want prospective em• on computer code developed by J. P. Jarvis. submitting the Joint Meetings Advance Reg• ployers to know about. Those with sched• M. Myers. and D. R. Shier of the Depart• istration/Housing Form and Applicant Re• ule conflicts during the Joint Meetings ment of Mathematical Sciences. Clemson sume Form (both found in the back of this should indicate that they are unavailable University. under a contract with the AMS issue and on e-MATH) to the Mathematics for one or more half-day sessions. sponsored jointly by the AMS and the Math• Meetings Service Bureau by November Applicants should keep in mind that in• ematical Association of America. 16. These forms must be accompanied by terviews arranged by the Employment Reg• The Mathematical Sciences Employ• payment of the appropriate fees. Applicant ister represent only an initial contact with ment Register is sponsored by the Ameri• Resume Forms received by the November the employers and that hiring decisions are can Mathematical Society. the Mathemat• 16 deadline will be included in the Winter not ordinarily made during or immediately ical Association of America. and the Society List. Only those who register by November following such interviews. Applicants are for Industrial and Applied Mathematics; it 16 will be able to receive any materials in advised to bring a number of copies oftheir 39 FOCUS October 1995

vita or resume so that they may leave them must also register for the Joint Meetings Register Desk between 7:30 a.m. and 4:00 with prospective employers, or applicants and pay the appropriate fees; however, Em• p.m. on Wednesday, January 10, to re• may wish to mail materials several weeks ployment Register fees will be charged only ceive their materials. Every effort should be in advance directly to participating em• for each table required. Please indicate on made to type the Applicant Resume or Em• ployers in which they are particularly in• the Employer Form how many tables are re• ployer Form (both found in the back of this terested. quired, and pay a "first table" fee and an issue or on e-MA TH) and bring it to the "additional table" fee for each additional Register. Participants should keep in mind Advance Registration Procedures table to be used during one or more half-day that on-site registration should be done as for Employers sessions. If an institution will be conduct• early on Wednesday as possible to allow a Representatives of mathematical sciences ing interviews for two or more distinct po• longer time for their Resume Form or job departments and private or governmental or• sitions and does not want to conduct these listing to be viewed by other participants and ganizations who plan to contact job seek• interviews at one table, then two or more also to allow time to examine materials be• ers at the Joint Mathematics Meetings in Or• Employer Forms should be submitted, and fore making their own interview requests. lando are encouraged to register one or more separate tables will be provided. "First There will be no on-site registration for interviewers in advance for the Employ• table" fees should be paid for each Em• the Employment Register after 4:00 p.m. ment Register. ployer Form submitted. Applicants will then Wednesday, January 10. • The fee for employers to register in ad• be able to request interviews for the appro• vance is $160 for the first table and $80 for priate job. 1996 Employment Register Schedule each additional table. On-site registration It is the policy of some institutions to pay Wednesday, January 10 fees are $220 for the first table and $110 for directly for employer fees. If a payment of 7:30 a.m. Distribution of Employment each additional table. Employers must also this type is made separately from the sub• Register material for on-site registrants and register for the Joint Meetings and pay the mission of the advance registration materi• participants registered in advance who did appropriate Joint Meetings fee. als, it is important that the institution's fis• not receive materials by mail. • Employer Forms are now available cal department include the name of the 9:00 a.m. Short (optional) orientation electronically on e-MATH, and they can department and interviewer with their pay• session. also be submitted electronically. To access ment so that proper credit can be made in 9:30 a.m.-4:oo p.m. Submission of all e-MATH: If you have a browser (such as the Providence office. Interview Request Forms for both Thursday Mosaic), the URL is http://www.ams.org/. and Friday interviews. This applies to both If not, use Telnet: tel net e-math.ams.org. Advice to Employers advance and on-site registrants. Those who Login and password are both e-math (low• Employers should know about several flex• do not submit Interview Request Forms by ercase). If you have e-MATH questions, ible options for participation in the Em• 4:00 p.m. will be unable to participate in the send them to [email protected]. ployment Register: Employment Register on Thursday and Fri• • Employer Forms submitted by No• • Participants may register for any sub• day. vember 16 will be reproduced in a booklet set of the four half-day sessions. 1:00 p.m.-4:oo p.m. Help Room open for which will be distributed to all applicants. • The schedule allows fifteen-minute in• resume andjob hunting advice. N.B. No in• Employers may elect to receive their badges, terviews, with five minutes between for terviews are held on Wednesday. programs, and Employment Register ma• note taking. . Thursday, January 11 terial in adyance, including the Winter List • One or more interviewers for the same 7:00 a.m.-8: 15 a.m. Distribution of in• of Applicants, containing all the Resume position(s) may interview separately, to• terview schedules for both Thursday and Forms of applicants registered by Novem• gether, or in shifts. Friday. ber 16. Employers should be aware that • Employers may elect to receive a book• 8: 15 a.m.-4:40 p.m. Interviews. there will be hundreds of brief resumes to let containing hundreds of Applicant Re• Friday, January 12 look through and should be sure to obtain sumes Forms two to three weeks in ad• 8: 15 a.m.-4:40 p.m. Interviews. the Winter List of Applicants as early as vance. All participants in the 1996 Employ• possible. ALL Interview Request Forms must be ment Register must submit their Inter• To register in advance, employers should submitted on Wednesday; then on Thursday view Request! AvaiJability Forms between submit the Employer Form and the Joint and Friday employers will interview almost 9:30 a.m. and 4:00 p.m. on Wednesday, Meetings Advance Registration/Housing all of the applicants they requested. Please or they will not be included when the in• Form (both found in the back of this issue contact Employment Register staff in ad• terview scheduling program runs and on e-MATH), along with payment of vance with any schedule problems. Wednesday night. This applies to all em• the appropriate fees, to the Mathematics Employers should bring school catalogs, ployers and applicants, whether advance or Meetings Service Bureau by November 16. corporate reports, or more length} job de• on-site registrants. Forms submitted with ad• Only those who register by November 16 scriptions to the Employment Register Desk vance registration do not automatically in• will be able to receive materials in advance early on Wednesday for perusal byappli• clude the participants in the interviewing by mail. cants prior to interviews. process. Please indicate on the Employer Form Interviews occur at twenty-minute in• the position or set of positions for which in• Registration on Site tervals with five minutes between succes• terviews will be conducted and the number Applicants and employers who do not reg• sive interviews. The interviews are sched• of tables needed during anyone session. ister for the Joint Mathematics Meetings uled in half-day sessions: Thursday morning Any number of interviewers can sit at a and the Employment Register by Decem• and afternoon and Friday morning and af• table together or in shifts, and their names ber 13 may register on site in Orlando at the ternoon, amounting to four half-day ses• should be listed on the form as a reference Joint Meetings Registration Desk. They sions for interviews. The allowed number point for the applicants. All interviewers must bring their receipt to the Employment of interview requests will be determined 40 October 1995 FOCUS

based on half-day sessions to be attended. job description. This description must be 16 Associative rings and algebras Participants may choose to indicate un• submitted on the Employer Fonn which ap- 17 Nonassociative rings and algebras availability for one or more sessions when pears in the back of this issue and on e- 18 Category theory, homological algebra they submit Interview Request Fonns. How• MATH, with the appropriate box checked 19 K-theory ever, once scheduled, participants need to indicating that no interviews will take place. 20 Group theory and generalizations make a good-faith effort to meet each ap• A fee of $50 is charged for this service. If 22 Topological groups, Lie groups pointment. Employers or applicants who the fonn is received in the Providence of- 26 Real functions must cancel an interview should fill out a fice (with payment) by the November 16 28 Measure and integration cancellation fonn at the Employment Reg• deadline, it will appear in the Winter List of 30 Functions of a complex variable ister Desk well in advance. Employers. Fonns received with payment 31 Potential theory in the Providence office after that deadline 32 Several complex variables and ana- Winter List ofApplicants will be displayed at the meetings. For on- lytic spaces The Winter List of Applicants contains re• site postings the fee of $50 must first be paid 33 Special functions sumes of persons seeking professional po• at the Joint Mathematics Meetings Regis- 34 Ordinary differential equations sitions in the mathematical sciences and is tration Desk. Participants should infonn the 35 Partial differential equations distributed to all employers interviewing at cashier that they would like to post a job de- 39 Finite differences and functional equa- the Employment Register. Resume Fonns scription but are not planning to interview tions of applicants taking part in the Employ• and should obtain the proper receipt. Ad- 40 Sequences, series, summability ment Register and those not attending will ditional fonns are available at the Employ- 41 Approximations and expansions be included provided they are received be• ment Register Desk. 42 Fourier analysis fore the November 16 deadline. No changes 43 Abstract harmonic analysis may be made after the fonn is submitted. For Further Information 44 Integral transforms, operational cal- Copies of the booklet will be available Questions about the Employment Register culus for sale at the AMS Exhibit and Book Sale should be addressed to the Employment 45 Integral equations at the meetings for $10. Any copies re• Register Coordinator at the AMS, 40 1-455- 46 Functional analysis maining after the meetings will be available 4105, or bye-mail: cinm@math. ams. org • 47 Operator theory from the Providence office of the Society 49 Calculus of variations, optimal con- for $17 each. Please note that the booklet Instructions for Applicant and trol will no longer be distributed as part of the Employer Forms 51 Geometry ElMS subscription. Applicant an~ employer fonns submitted for 52 Convex and discrete geometry the Employment Register by the November 53 Differential geometry Applicants Not Planning to Attend 16 deadline will be photographically re- 54 General topology Applicants seeking professional positions in produced for the appropriate Winter List. It 55 Algebraic topology the mathematical sciences who do not plan is preferred that participants use the e1ec- 57 Manifolds and cell complexes to attend the Employment Register in Or• tronic fonns; paper fonns should be sub- 58 Global analysis, analysis on manifolds lando also may submit the Applicant Re• mitted only by those who do not have ac- 60 Probability theory and stochastic sume Fonn at the back of this issue for pub• cess to e-MATH. processes lication in the Winter List of Applicants. All forms must be received by the So- 62 Statistics Please indicate that you are not attending the ciety by November 16, 1995, in order to 65 Numerical analysis meeting and observe the deadline of No• appear in the Winter List. If you are at- 68 Computer science vember 16. There is no charge for this ser• tending the meeting, the Advance Regis- 70 Mechanics of particles and systems vice. tration/Housing Form printed in this 73 Mechanics of solids issue must accompany the form. 76 Fluid mechanics Winter List ofEmployers 78 Optics, electromagnetic theory The Winter List ofEmployers consists of the 1991 Mathematics Subject Classifications 80 Classical thennodynamics, heat trans- position listings of employers who submit• 00 General fer ted job descriptions by November 16. It 01 History and biography 81 Quantum theory will be distributed to the applicants partic• 03 Logic and foundations 82 Statistical mechanics, structure of mat- ipating in the Register. Others may pur• 04 Set theory ter chase the Winter List of Employers at the 05 Combinatorics 83 Relativity and gravitational theory AMS Exhibit and Book Sale at the meetings 06 Order, lattices, ordered algebraic struc- 85 Astronomy and astrophysics for $10 each. Any copies remaining after the tures 86 Geophysics meetings will be available from the Provi• 08 General mathematical systems 90 Economics, operations research, pro- dence office of the Society for $17 each. II Number theory gramming, games 12 Field theory and polynomials 92 Biology and other natural sciences, be- Employers Not Planning to 13 Commutative rings and algebras havioral sciences Interview 14 Algebraic geometry 93 Systems theory, control Employers who do not plan to participate 15 Linear and multilinear algebra, matrix 94 Infonnation and communication, cir- in the Employment Register may display a theory cuits

41 FOCUS October 1995

EMPLOYER FORM

MATHEMATICAL SCIENCES EMPLOYMENT REGISTER JANUARY 10-12, 1996 ORLANDO, FLORIDA

1. Forms should be accessed and submitted electronically if possible. See Employment Register instructions for details on accessing e·MA TH. This paper form should be submitted only by applicants who do not have access to e·MA TH. 2. Please check if Advance Registration/Housing Form previously sent. 0 3. 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. 4. Please list all potential interviewers, for reference by applicants, but pay fees only for each separate table. EMPLOYER CODE: Institution ______Department ______

City, State, Zip ______E-mail address ______

Number of tables needed Name(s)ofInterviewer(s) 1. ______2. ______3. ______4. ______(use MR classificalion codes if possible) Specialties sought ______

Title(s)ofposition(s) ______

Number of positions -:-______Month Year Years Starting date ______1______Term of appointment ______Renewal Tenure-track position o Possible 0 Impossible o Yes 0 No Teaching hours per week ____ Degree preferred ______Degree accepted ______Duties ______

Experiencepreferred, ______

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 Session 1 (Thurs. AM, 8: 15-11 :40) tables

Session 2 (Thurs. PM, I :00--4:40) tables

Session 3 (Fri. AM, 8:15-11:40) tables

Session 4 (Fri. PM, I :00--4:40) tables o Not Interviewing

42 October 1995 FOCUS

APPLICANT RESUME FORM MATHEMATICAL SCIENCES EMPLOYMENT REGISTER JANUARY 10-12, 1996 ORLANDO, FLORIDA

1. Forms should be accessed and submitted electronically if possible. See Employment Register instructions for details on accessing e-MATH. This paper form should be submitted only by applicants who do not have access to e-MA TH. 2. Please check if Advance Registration/Housing Form previously sent. 0 3. 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.

APPLIC~ Name------CODE: Mailing Address (include zip code)------______

E-mail address ______Specialties (use MR classificalion codes if possible; applicants will be indexed by firsl number only)

Career objectives and accomplishments: Academic: 0 Research 0 University Teaching 0 College Teaching: 0 4-year 0 2-year Would you be interested in nonacademic employment? 0 Yes 0 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 HISTORY: Employer Position 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) o U. S. Citizen o Non-U.S. Citizen, Permanent Resident o Non-U.S. Citizen, Temporary Resident

AVAILABLE FOR INTERVIEWS: Session 1 0 Session 2 0 Session3 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 Orlando. 0

43 FOCUS October 1995 New FI'om the MAA New Mathematical Diversions Martin Gardner Math.matical jok.s, math.matical magic, and ados. 01 lun

Offered here are twenty reprints from Martin Gardner's • Group Theory and Braids monthly column in Scientific American. Gardner tells us that • The Games and Puzzles of Lewis Carroll his book is a book of "mathematical jokes," if "joke" is taken • The Transcendental Number Pi in a sense broad enough to include any kind of mathematics • Victor Eigen: Mathemagician that is mixed with a strong element of fun. Readers of this • Polyominoes and Fault-Free Rectangles book will be treated to a heavy dose of fun, and it is very • Euler's Spoilers: The Discovery of an Order-I 0 possible that they will learn some mathematics along the way. Graeco-Latin Square Martin Gardner instructs us about mathematics as he enter• • The 24 Color Squares and the 30 Color Cubes tains us with his wit and sense of the absurd. Always the • Bridg-it and Other Games master expositor, the ideas presented in his books have stimu• lated, challenged and delighted generations of readers. Mar• Answers are provided for these problems, as well as tin Hollis (in New Scientist) says it best when he says of references for further reading and a bibliography. Martin Gardner's work, "Should you ever need to explain subatomic Gardner's Postscript section provides updates to the particles to a Stone-age man, send for Martin Gardner... He problems. leaves open questions open, conveys the thrill of the chase and deals flawlessly with hard and simple ideas alike." 272 pp., Paperbound, 1995; ISBN 0-88385-517-8 MAA Member: $16.50 List: $19.95 Some of the problems you will find here are: Catalog Code: DIVER/FOC

Circles, A Mathematical View Dan Pedoe

Revised edition

Treats the fundamental aspects of college geometry, non-Eu• known mathematician with a tragically short life, who pub• clidean geometry, and other branches of mathematics where lished his theorem in a slender geometric treatise in 1822.) the circle plays an important role. Readers of Circles need only be armed with paper, pencil, This revised edition of a mathematical classic originally pub• compass, and straightedge to find great pleasure in following lished in 1957 will bring to a new generation of students the the constructions and theorems. Those who think that geom• enjoyment of investigating that simplest of mathematical fig• etry using Euclidean tools died out with the ancient Greeks ures, the circle. The author has supplemented this new edition will be pleasantly surprised to learn many interesting results with a chapter 0 designed to introduce readers to the special which were only discovered in modem times. And those who vocabulary of circle concepts with which the author could think that they learned all they needed to know about circles assume his readers of two generations ago were familiar. For in high school will find much to enlighten them in chapters example, Pedoe carefully explains what is meant by the cir• dealing with the representation of a circle by a point in three• cumcircle, incircle, and encircles of a triangle as well as the space, a model for non-Euclidean geometry, and isoperimetric circumcentre, incentre, and orthocentre. The reader can then property of the circle. understand his discussion in Chapter 1 of the nine-point circle 144 pp.. Paper, 1995 and of Feuerbach's theorem. As an appendix, Pedoe includes ISBN-0-88385-518-6 a biographical sketch on Karl Wilhelm Feuerbach, a little List: $18.95 MAA Member: $14.50 Catalog Code/CIRCLES/FOC 44 October 1995 FOCUS Episodes in Nineteenth and Twentieth Century Euclidean Geometry Ross Honsberger

The MAA is proud to announce the publication of our eighth In addition to appealing to lovers of synthetic geometry, this book by Ross Honsberger... a most welcome addition to our book will stimulate also those who, in this era of revitalizing New Mathematical Library series. geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to In this remarkable volume, the author fulfills the promise he mind the duality principle; other results tempt the reader to makes in the preface: "-that each topic has been extricated prove them by vector methods, or by projective transformations, from the mass of material in which it is usually found and or complex numbers. given as elementary and full a treatment as reasonably pos• sible." Contents Professor Honsberger has succeeded in "finding" and "extri• 1. Cleavers and Splitters; 2. The Orthocenter; 3. On Tri• cating" unexpected and little known properties of such funda• angles; 4. On Quadrilaterals; 5. A Property of Triangles; 6. mental figures as triangles, results that deserve to be better The Fuhrmann Circle; 7. The Symmedian Point; 8. The known. He has laid the foundations for his proofs with almost Miguel Theorem; 9. The Tucker Circles; 10. The Brocard entirely synthetic methods easily accessible to students ofEu• Points; 11. The Orthopole; 12. The Cevians; 13. The Theo• clidean geometry early on. While in most of his other books rem of Menelaus; Suggesting Reading; Solutions to the Ex• Honsberger presents each of his "gems", "morsels" and "plums" ercises; Index as self contained tidbits, in this volume he connects chapters 163 pp., Paperbound, 1995 with some deductive threads. He includes exercises and gives their solutions at the end of the book. ISBN 0-88385-639-5 List: $28.50 MAA Member: $22.00 Catalog Code: NML-37/FOC

Ia------~------I Send this order to. Membership Code ------The MAA, 1529 Eighteenth Street, NW (Please copy the first six digits that appear on the top line ofyour mailing label) Washington, DC 20036 1-800-331-1622 FAX (202) 265-2384

Quantity Catalog Number Price Name

Address

City State Zip Code

TOTAL Payment 0 Check 0 VISA 0 MASTERCARD

Postage &: Handling Please add $2.95 for the first book and $.50 Card Number for each additional book you are ordering to cover the postage ------• and handling fees. The order will be sent via UPS. Foreign Orders Please add $3.00 per item ordered to cover postage and _S....!:ig~n_a_tu_r_e______handling fees. The order will be sent via surface mail.Ifyou wan t E . . D your order sent by air, we will be happy to send you a proforma _x.!.,.p_lr_a_tl_o_n_a_t_e______~voice f~~r~der.______-.J

45 FOCUS October 1995

non-tenure track positions at the rank of adjunct complexity & efficiency of algorithms. Min. req. lecturer. We are looking for individuals with inc.: M.S. in Mathematics w/2 yrs. expo in above Rates for FOCUS Employment Advertise• records of effective and innovative undergradu• pos. or 2 yrs. expo as Teaching/Research Asst. or ate teaching with a minimum of two years ments are $65.00 per column inch (one inch related, wI ability to use mathematical concepts (full-time equivalent) of successful college level minimum), billed to the nearest 112 inch. such as Wavelet, Approximation, & Graph teaching experience. Documentation of such ac• All advertisements are set with a one-line Theory. I Grad. college course in: I) Numerical complishments will be the primary consideration headline, centered, boldface, consisting of Analysis & Approximation Theory 2) Graph used in offering these lectureships. A graduate the institution name, unless additional head• Theory 3) Data Structure 4) Algorithm Analysis. degree in Mathematics or Mathematics Educa• line information is provided. Ads will appear Structure prog. in C. Must have documented tion is required and the individual must have taken in the same language in which they are sub• ability to write research papers on algorithms courses outside mathematics that require ideas mitted. analysis or graph theory. 40.0 hr/wk. $35,000/yr. from mathematics at the level of calculus or above. 8:00 - 5:00. FOCUS offers a 15% discount for the same Teaching duties include the following courses: Please send resume to: advertisement in three or more consecutive college algebra, precalculus, finite mathematics, Columbia Job Service issues. All invoices include a tear sheet. and calculus. These positions offer excellent P.O. Box 567 Advertising Copy Deadlines: The first ofthe opportunities for individuals to work with other Columbia, SC 29202 month, two months prior to publication. faculty members in an innovative learning envi• Attn: Ms. Lisa Hill FOCUS is published in February, April, June, ronment. Lecturers enjoy all the benefits and Re: Job Order Number SC-20OO362 August, October, and December. privileges that are available to other University Advertisers should contact: Amy Fabbri, employees. FOCUS Advertising Coordinator, The MAA, The deadline for applications is November 17, Research Mathematician 1995. Early submission of application materials 1529 18th St., NW, Washington, DC 20036; Develop newest fractal compression!decompres• is strongly encouraged. Women and minority ap• (202) 387-5200; fax: (202) 265-2384; e-mail: sion technology. Find & prototype algorithms that plicants are especially welcome. Correspondence [email protected] improve performance of company technology, regarding job descriptions, qualifications, and e.g., decompression speed, image quality, reso• application procedures should be sent to: Fredonia State University of New lution independence, & file size superior to other Entry Level Teaching Positions York College at Fredonia same products. Min. req. inc: M.S. in Mathemat• Alan C. Newell, Head The department of Mathematics and Computer ics & B.S. or M.S. in C.S. wI I yr. expo in above Department of Mathematics Science invites applications for a tenure-track pos. or I yr. expo as Programmer or related wI University of Arizona position in mathematics education starting in ability to do the following: image processing (im• Tucson, Arizona 85721, USA August, 1996 (possibly January, 1996) atthe rank age compression methods, image enhancements, The University of Arizona is an Affirmative of assistant professor. A doctorate is required, & pattern matching). Interface design & com• Action! Equal Opportunity/ADA Employer. preferably in mathematics education with spe• puter graphics design. Other req. inc 6 mos. expo cialization in secondary school curriculum, or grad. level course in fractal geometry, dynami• methods or the application of technology. Sub• Trinity College cal systems, C/C++, Assembler, PC Windows stantial teaching experience at the secondary Mathematics programming, Borland & Visual C++I 40.0 hi school level is also desirable. Since responsibili• wk. $30,628/yr. 9:00 - 5:00. Applications are invited for a tenure-track assis• ties of this position include working closely with Applicants send resume or apply in person to: tant professorship which commences late August, pre-service and in-service secondary mathemat• Georgia Department of Labor, Job Order # GA 19?6. Requirements: PhD in mathematics, strong ics teachers, our search will be limited to 5871863, 1525 Atkinson Rd., Lawrenceville, GA eVidence of research potential, demonstrated candidates who have at least one of these two 30243-560 I, or the nearest Department of Labor success in classroom instruction, commitment to qualifications ( a doctorate in mathematics edu• Field Service Office. cation or substantial secondary school teaching undergraduate instruction in a liberal arts set• experience). Candidates must have a record of ting. Specialists in logic or geometry preferred, and .a commitment to excellence in teaching, although all applicants considered. Computer Western New England College contmued scholarly activity and an interest in expertise and experience in laboratory calculus Department of Mathematics and desirable. Send cover letter, c. v. (listing a winter curriculum development. Review of applications Computer Science will commence November 15, 1995 and will break phone number and an e-mail address if possible), statements on teaching and research Assistant Professor of Mathematics anticipated continue until the position is filled. Fredonia ac• for appointment beginning September 1996. Term tively encourages applications from women and interests, and three letters of reference (at least one of which addresses teaching) to Search Com• and conditions of appointment depend on minority candidates and is an Affirmative Ac• candidate's qualifications and experience. The tion/Equal Opportunity Employer. Send a letter mittee, Mathematics Department, Trinity College, Hartford, CT 06\06. Only those applications successful candidate will instruct 12 semester of application and a complete curriculum vita to: credit hours per term. Applicants must have a Dr. Nancy Boynton, Chair, Search Committee which are received by December I can be as• sured full consideration. Also anticipated a Ph.D. in Mathematics or the Mathematical Sci• Mathematics and Computer Science Department ences with a record of excellence in and a strong SUNY College at Fredonia one-year position, specialization open. Interested commitment to teaching. Scholarly activity is Fredonia, NY 14063-1198 parties should so indicate in the cover letter or encouraged and supported through release time, [email protected] the AMS cover sheet. Trinity College is an Equal Opportunity, Affirmative Action employer. summer research grants, and professional travel Women and minority candidates are especially funds. encouraged to apply. Th.e Department of Mathematics & Computer Three Year Lecture Positions SCience has \0 full-time faculty members and Department of Mathematics 50+ majors in degree programs leading to a B.A. University of Arizona Mathematician in Mathematics and a B.S. in Computer Science Thcson, Arizona Conduct research in application of wavelet theory and provides courses for the general educatio~ The Department of Mathematics at the Univer• to image & video compression. Design & test program of the college. sity of Arizona has openings for three year data compression algorithms using C. Analyze Salary is competitive and commensurate with 46 October 1995 FOCUS Notice to Employment Advertisers The Board of Governors of the MAA is asking departments that are considering hiring temporary faculty to one-year positions to convert these to multi-year positions if at all possible. In addition, those departments that plan to hire temporary faculty for the next 5-10 years are urged to work with their administrations to convert these temporary positions to tenure-track positions. It is our belief that the repeated hiring of temporary faculty not only impedes the career development of the young mathematicians holding these positions, but also increases the work load of permanent faculty. An individual in a one-year position must begin searching for a new job every October. He or she does not have the time and energy, and, indeed, can hardly be expected, to contribute to the life of the department and of the institution. It is our hope that those departments that have been forced to hire temporary faculty on a regular basis will be able to work with their administrators in order to reduce or eliminate this practice. credentials and experience. Western New England tistics and statistical education. Review of appli• College is an independent, non-denominational, cations will begin Dec. 1 and will continue until private, co-educational institution with Schools the position is filled, but those received after Feb. Visiting of Arts and Sciences, Business, Engineering, and 1, 1996 might not receive consideration. Carleton Law, with total day/evening enrollments exceed• faculty teach 2 courses per term, 3 terms per 9- Mathematician ing 5,000. month year. Carleton is an Affirmative Action! Send letter of application, curriculum vitae, a Equal Opportunity Employer; applications are statement on teaching, and three letters of rec• specifically invited from women and members Sought for MAA ommendation (including comments on the of traditionally underrepresented groups. Send applicant's experience and promise as a teacher letter of application, a statement of teaching phi• Headquarters and scholar) to: Dennis M. Luciano, c/o Ann losophy, resume, graduate transcript(s), and three & recent letters of reference, at least one of which Guyotte, School of Arts Sciences, Western Looking for a new challenge? Consider New England College, Springfield, Massachu• should address teaching, to Rich Mau, Chair, setts 01119. Application deadline is January 2, Department of Mathematics and Computer Sci• becoming an MAA Visiting Mathema• 1996. Western New England College is an Equal ence, One North College Street, Northfield, MN tician. 55057-4025 (e-mail: search96@mathcs. Opportunity Employer encouraging applications Do you have a sabbatical coming up? from women and minority candidates. carleton.edu). For general information about Carleton, the department, and the position see, Are you recently retired and looking http://www.mathcs.carleton.edu. Carleton is a for a new challenge? Consider spend• Williams College highly selective liberal arts college 35 miles south ing a year as a Visiting Mathematician Department of Mathematics of Minneapolis/St. Paul. The department has 12 (VM) at MAA Headquarters in Wash• Williamstown, Massachusetts 01267 full-time members. A commitment to teaching in ington, DC. VM's work on a variety of Two anticipated tenure-eligible positions in math• a liberal arts setting is essential. Research is sup• projects and programs, depending on ported and encouraged. Computing resources ematics or applied mathematics, beginning Fall their areas of expertise and the needs of available to the department include four teaching 1996, probably at the ranks of assistant profes• the office. Recent VMs have made sig• sor, in exceptional cases, however, more advanced laboratories equipped with Mac Quadras, NeXts, nificant contributions to publications, appointments may be considered. Excellence in 486 PC's, Silicon Graphics workstations, both teaching and research is essential. For both transputer-equipped parallel processing stations, electronic services, student programs, positions, a Ph.D. in hand or completed disserta• and access to a central VAX cluster and the and public policy issues. Appointments tion by September 1996 is required. For one of Internet. are generally for the academic year, but the positions, experience and strong interest in shorter or longer time periods are pos• teaching pre-calculus/quantitative skills is a plus. sible. Please have a vita and three letters of recommen• Franklin College dation on teaching and research sent to Hiring Franklin College, a private four-year liberal arts Candidates should send or fax (I) a Committee. Evaluation of applicants will begin college, invites applications for a tenure-track statement of their background and in• November 15 and continue until the position is assistant professor of mathematical sciences to terests, (2) a curriculum vitae, and (3) begin August 1996. Position requires teaching filled. As an EEO/AA employer, Williams espe• the names of at least three references cially welcomes applications from women and courses at all levels in computer science and to: minority candidates. mathematics. Ph.D. preferred; M.A. or M.S. re• quired. Applicants who can demonstrate their Visiting Mathematician Search, The interest in and aptitude for teaching undergradu• Mathematical Association ofAmerica, Carleton College ates in a liberal arts setting should send letter, 1529 Eighteenth Street, NW, Washing• The Carleton College Department of Mathemat• vita, transcripts, and 3 current letters of reference ics and Computer Science has one tenure-track to Dean of the Faculty, [ATTN: Dr. Daniel Calion, ton, DC 20036, fax (202) 265-2384. position to begin September, 1996. A Ph.D. in Chair, Dept. of Mathematical Sciences], Franklin College, 501 E. Monroe, Franklin, IN 46131- Interviews will be conducted at the Joint Statistics or Mathematics is required and evidence Mathematics Meetings in Orlando in of teaching excellence is essential. We seek can• 2598. Materials will be reviewed as received didates with experience and interest in the current until position is filled. Franklin College is com• January. The deadline for receipt of ap• reform efforts in undergraduate statistics educa• mitted to a policy of nondiscrimination on the plications is November 15, 1995. It is tion and in recent computer-intensive statistical basis of color, handicap, race, religion, sex, and expected that the selection process will methods. Professional goals should include sta- national origin. be completed by mid-February.

47 Calendar National MAA Meetings IOWA April 26-27, 1996, Cornell Col• June 7-8, 1996, Hampshire College, January 10-13, 1996 Seventy-ninth An• Amherst, MA nual Meeting, Orlando, FL. Board of lege, Mt. Vernon, IA Governors Meeting January 9, 1996 KANSAS Spring 1996, McPherson Col• November 22-23, 1996, University of lege, McPherson, KS Massachusetts-Boston, Boston, MA August 10-12, 1996 Annual Joint Sum• mer Meetings, University of Washing• KENTUCKY March 29-30, 1996, NORTHERN CALIFORNIA October ton-Seattle, Seattle, WA. Board of Murray State University, Murray, KY 21-22, 1995, Cal Poly tech State Univer• Governors Meeting August 9, 1996 LOUISIANA-MISSISSIPPI March 1- sity, San Luis Obispo, CA (joint meeting with S. California Section) January 8-11, 1997 Eightieth Annual 2, 1996, Southern University, Baton Meeting, San Diego, CA. Board of Rouge, LA March 2, 1996, Sonoma State University, Governors Meeting January 8, 1997 February 28-March I, 1997, Millsaps Rohnert Park, CA January 7-10,1998 Eighty-firstAnnual College, Jackson, MS OKLAHOMA-ARKANSAS March 22- Meeting, Baltimore, MD. Board of MD-DC-VA November 3-4, 1995, 23,1996, Westark Community College, Governors Meeting January 6, 1998 Georgetown University, Washington, DC Fort Smith, AR April 12-13, 1996, Randolph-Macon ROCKY MOUNTAIN April 19-20, Sectional MAA Meetings College, Ashland, VA 1996, Mesa State College, Grand Junc• tion, CO (joint meeting with Intermoun• ALLEGHENY MOUNTAIN April 12- METRO NEW YORK May 5, 1996, tain Section) 13, 1996, Indiana University of Pennsyl• C. W. Post College, Greenvale, NY vania, Indiana, PA SEAWAY November 3-4, 1995, May 3, 1997, Mercy College, Dobbs Ferry, Skidmore College, Saratoga Springs, NY EASTERN PA & DELAWARE Novem• NY ber 4, 1995, Penn State University• April 12-13, 1996, Elmira College, MICHIGAN May 10-11, 1996, Siena Ogontz, Abington, PA Elmira, NY Heights College, Adrian, MI April 13, 1996, Millersville University, November 8-9, 1996, SUNY College at MISSOURI April 12-13, 1996, South• Millersville, PA Geneseo, Geneseo, NY east Missouri State Univ., Cape Girardeau, Fall 1996, Delaware State University, MO SOUTHEASTERN April 13-14, 1996, Dover, DE University ofAlabama-Huntsville, Hunts• Spring 1997, Missouri Western State Col• ville, AL FLORIDA March 1-2 1996, Florida lege, St. Joseph, MO Power Corporation, St. Petersburg, FL SOUTHWESTERN April 1996, North• Spring 1998, Southwest Missouri State ern Arizona University, Flagstaff, AZ ILLINOIS March 1-2 1996, Illinois University, Springfield, MO Wesleyan University, Bloomington, IL SOUTHERN CALIFORNIA October NEBRASKA-SOUTHEAST SOUTH 21-22, 1995, Cal Poly tech State Univer• INDIANA November 4, 1995, Taylor DAKOTA April 19-20, 1996, Univ. of sity, San Luis Obispo, CA (joint meeting University, Upland, IN Nebraska-Kearney, Kearney, NE with N. California Section) March 29-30, 1996, Butler University, NEW JERSEY November 18, 1995, TEXAS March 28-30, 1996, Texas Tech Indianapolis, IN Rutgers University-Busch Campus, New University, Lubbock, TX October26, 1996, Rose-Hulman Institute Brunswick, NJ of Technology, Terre Haute, IN Spring 1997, Texas Lutheran College, NORTH CENTRAL October 20-21, Seguin, TX Spring 1997, Franklin College, Franklin, 1995, North Dakota State University, Spring 1998, Southern Methodist Univer• IN Fargo, ND sity, Dallas, TX INTERMOUNTAIN April 19-20, 1996, Apri11996, Hamline University, St. Paul, WISCONSIN April 12-13, 1996, Univer• Mesa State College, Grand Junction, CO MN (joint meeting with Rocky Mountain Sec• sity of Wisconsin-Platteville, Platteville, NORTHEASTERN November 17-18, tion) WI 1995, Salem State College, Salem, MA

FOCUS OCTOBER 1995 The Mathematical Association of America Second class postage paid at Washington. DC and 1529 Eighteenth Street, NW additional mailing offices Washington, DC 20036-1385