Volume 11, Number 4 THE NEWSLETTER OF THE MATHEMATICAL ASSOCIATION OF AMERICA September 1991

New Sculpture Unveiled MAA Establishes Awards at MAA Headquarters for Outstanding Teaching The collection of mathematical sculptures at the MAA's Washington The MAA has established a system of annual awards for college DC headquarters grew to three on Friday, 17 May 1991, with the or university mathematics teaching. There will be awards at both unveiling of Time Shell by Craig Schaffer. the Sectional and national level, with recipients of Section Awards The new sculpture now sits prominently in a niche in the wall bor• being considered for the national award. National award winners dering the elegant, spiral staircase of the Vaughn Building, nestled will be honored at the MAA annual meeting in January each year, where they will receive a certificate and a check for $1,000. The between the photographs of all the past MAA presidents. The un• veiling ceremony followed a luncheon reception hosted by the MAA national awards will be known as the Awards for Distinguished and attended by about forty-five people, including the MAA's Exec• College or University Teaching of Mathematics (ADCUTM), and utive and Finance Committees, who were in Washington DC for will be administered by a standing committee of the Association their annual meeting that weekend. chaired by Henry L. Alder of the University of California at Davis. Coincidentally, the Executive Committee and Board of Trustees of The suggestion for the new awards carne from the ad hoc Commit• the American Mathematical Society (AMS) were also meeting in tee on Awards, chaired by the then-incoming MAA President Deb• Washington DC at the time, so they too were invited to attend, and orah Tepper Haimo, which noted the absence of any official MAA following MAA President Deborah Tepper Haimo's welcome speech, recognition of meritorious teaching. At its 1991 Annual Meeting in AMS president Michael Artin stepped forward to say a few words. San Francisco, California, the MAA Board of Governors formally recommended that the new awards be implemented immediately. It turned out to be the first time that the AMS had made an "official" visit to the Dolciani Mathematical Center, which made the occasion In the first stage of the award process, each of the twenty-nine Sec• the more special, since it was the AMS who had given the MAA tions will select a recipient of the Section Award, to be honored by the second of its three mathematical sculptures, Robert Szczarba's the Section. In early September 1991, the Section secretaries will Three Pentagons, presented to the Association on 8 August 1990 be sent the necessary information and materials for each Section to commemorate its Seventy-Fifth Anniversary. to name one of its members as the first (1992) recipient of this Sec• (Sculpture Unveiling continues on page four.) (Teaching Awards continues on page fIVe.)

Inside This Issue

FOCUS Editorial ...•..••.••••••••••••••.••••..... 2 and 3 Ivars Peterson Receives Communication Award •••••.•.••••••. 5 Contributed Papers in Baltimore ••••••••••••••••...... 6 Radcliffe College Seeks Science Scholars ••.••••••.•...... 6 A Preview of the 1992 Annual Meeting Mathematics Sails into Baltimore •••..••••••••.•.•...... 7 Mathematical Poetry in Baltimore •••••••••••••••••.••••.. 7 Summer Meetings in 1992 ••••••••.•.•••••••••.•...... 7 e-MATH: An Electronic Service for Mathematicians ••••••••••••• 8 Mathematics Awareness Week 1992 ••••••••••••••••••••••• 8 Association for Women in Mathematics Awards Alice T. Schater Mathematics Prize •••••••••••••••••9 ICME-7 Travels to North America in 1992 ••••••••••••• 10 and 11 1991 Mathematical Sciences Chairs Colloquium ••••••••••.••• 11 Ohio Slate Technology Conference Relocates to Portland ••••••• 11 From lett to right: Emily Begle, daughter of Edward G. Begle; Center Section Thomas W. Tucker, MAA First Vlce-Presldentj Deborah Tepper FOCUS on MM Sections ••••••••••••••••.••••..... 12-16 Halmo, MAA President; snd Craig Schaffer, SCUlptor of TimeShell. 2 FOCUS September 1991

FOCUS

How important is mathematics? Readers of FOCUS Then, after taking a blast at the National will have no hesitation in answering. And recent Council of Teachers of Mathematics (NCTM), pronouncements from the White House indicate he continues: ' 'I happen to think algebra is that we have friends in high places. But by a useless torture. I have never seen a help no means does everyone share our sense of the wanted ad for an algebraist, and in 25 years crucial and fundamental place mathematics of interviewing I have not met anyone who occupies in modern society. This was indicated even mentioned algebra, let alone said it was in dramatic fashion by an article by the beneficial." syndicated Washington Post columnist Colman McCarthy on the weekend of 19--20 April 1991, Granted the secret to success as a columnist coincidentally (?) the start of this year's is to be highly provocative, it is also the Mathematics Awareness Week (MAW). case that columnists succeed in the same way as political cartoonists, by grossly exaggerating Prompted by the efforts of the Dayton, Ohio what is already there. And the plain fact is public school superintendent, Franklin L. Smith, that outside the mathematical community, there to make basic algebra a requirement of all ninth are a great many who would nod in agreement to graders in the Dayton public school system, McCarthy's words. What is more, as I saw in McCarthy's piece makes for mind-popping reading, my native Britain during the Thatcher years, and FOCUS readers with a blood-pressure problem given the right circumstances, such people can should think twice before reading any more of find themselves in positions of considerable this article, let alone looking up the original influence, often with devastating consequences. Washington Post column. As a community, we mathematicians need to be aware of the widespread prevalence of "Algebra isn't essential to much of anything," ludicrously inaccurate and negative views of the claims McCarthy. "Once adding, subtracting, kind espoused by McCarthy. And we should ask multiplying, and dividing are mastered---by ourselves what we can do in response. eighth grade usually---why insist on more? Algebra has little to do with mathematics. It's a Sitting secure in our own knowledge of the language, a way of symbolic communication that a pivotal role mathematics plays in modern society few people find fascinating and practical, while is certainly not enough. We either go on the most don't." offensive or suffer the consequences, both for ourselves and for society at large. And there is plenty of evidence that we are already suffering some of those consequences in the form of college entrants with poor mathematics preparation and a dramatic decrease in the number of college mathematics majors. Indeed, we have already lost so much ground that we have to accept that, for the time being at least, we have to use mathematical terminology the way others do, not the way we, as the' 'experts," think it should be reeus used. For instance, McCarthy clearly uses both' 'mathematics" and' 'algebra" in a way ISSN: 0731-2040 quite alien to mathematicians. By the former he FOCUS Is published by The Mathematical Association 01 America. 1529 Eigh• obviously means arithmetic, and by "algebra" teenth Street Nonhw86I,Washington, DC 20036-1385, six times a year: Febru• he means symbolic (arithmetic) manipulation. ary, AprIl,June, september,OCtober, and December. This usage is now widespread, and may even be one Editor: KehhJ. Devlin,Colby College held by some (but certainly not all) of those in AssoclaleEditors: DonaldJ. Albers, Menlo College the Whi te House who are currently pushing for Barbara Trader Faires,WestminsterCollege more mathematics education. AdvertisingMBIl8lJer: SIOOMn B. Chamberlin Chair of the MAA News/e/terEditorial Committee: Susan L Forman, At my own college, Colby, which recently passed Bronx CommunltyCollege01the City University01NewYork a requirement that all students take at least The annualFOCUSSUbscription priceto Individual members01the Association Is one "mathematical" course, we had difficulty $6, Induded In the annualdues. (Annualdues lor regularmembers, exduslve 01 coming up with a suitable name: any mention of annual subscription prices lor MAA Journals, are $64. Studem and unemployed the word' 'mathematics" itself conjuring up members receive a 66% dlscoum; emeritus members receive a 50% discount; quite the wrong picture to everyone outside the new membersreceivea 40% discountlor the first two membership years.) Mathematics Department. In the end, we settled @ by The Mathematical Association 01 America (Incorporated), 1991. Educa• for Quantitative Reasoning, which is a quite tlonal Insthutlons may reproduca articles lor their own use, but not lor sale, pro• videdthai the IoIlowingchallon Is used: 'Reprintedwhh perml66lon from FOCUS, incorrect description of many of the courses to the Newslelter01the Mathematical Association 01America(Incorporated), 1991.· be covered by this term, but was the only name that did not conjure up thoughts (and fears) 5econd-dass postage paid at Washington, DC and additional mailing offices. Poatm_tar: Addr866 changes to FOCUS, Membership-Subscriptions Depart• of yet another tedious course on algebra (high ment, The Mathematical Association of America. 1529 EighteenthStreet North• school variety) or calculus. And this was at an w861, Washington, DC 20036-1385. Printed In the United States 01America. institution committed to the concept. (Editorial continues on opposite page, bottom.) September 1991 FOCUS 3

• Is Not Just Math Algebra • It's the Language of Science

Whether by coincidence or by design, The student who closes the door on high In all of this, we have focused on jobs Colman McCarthy kicked off Mathemat• school algebra (and so on all of mathe• and said nothing about the need for in• ics Awareness Week with an April 20 matics) closes the door on much more: formed citizens to understand statistics column suggesting that it is algebra that all of engineering and science, the world as they face a medical choice, to have a should be kicked off-{)ff the list of of computer programming, anything that feel for rate of growth when listening to courses required in our nation's schools. requires an understanding of statistics, economic forecasts, or to understand the concept of future value when they choose He reasoned that teaching algebra to ev• electronics, medicine and medical tech• among retirement options. eryone will not address such problems as nology, most management and MBA pro• grams, and more. Make no mistake. The crime and drugs or pollution; that alge• Neither have we spoken of our need for young person who drops out of algebra bra has little to do with mathematics, and teachers at all levels to know at least has dropped out of a lot more than he or that he has never seen a help-wanted ad enough about the use of algebra so as she realizes. for an algebraist. to help their students do what McCarthy The temptation to the mathematician, af• Must algebra be difficult? Not really. Is says he cannot: distinguish between the ter getting over the initial sputtering and it sometimes poorly taught? Certainly. importance in our society of algebra and grinding of chalk dust in one's teeth, is to Do some students get by with memoriza• Sanskrit. In the best of all worlds, respond with the kind of overstatement in tion instead of understanding? Of course. we could even hope for columnists who defense ofalgebra that McCarthy has em• These are not arguments for abandoning would not write such nonsense as "Alge• ployed in his attack. The damage he has algebra, however, but for teaching it bet• bra has little to do with mathematics." ter, a goal toward which renewed efforts done is too serious, however, and calls Think of your own child, or a neighbor for a more reasoned response. of the National Council of Teachers of Mathematics are directed. child, or the disadvantaged child in whom Do the majority ofadults use algebra? Of you have taken an interest. Do what you course not. McCarthy is certainly right to worry can to help that child experience a lit• about drugs and crime. We are not ex• tle more of what it means to have equal I think we can go further, and say that perts on the subject, but social scientists opportunity. Tell that young person to there are working engineers and other have led us to believe that a root cause keep options open; to take algebra, and people with technical jobs who do not is the inability of people to get jobs and to follow it with geometry, and all the use algebra on a day-to-day basis. the resultant poverty and sense of being mathematics he or she can master; and McCarthy's physician may well have for• left out. He is also right to identify pol• to ignore Colman McCarthy. • gotten algebra; but that physician with• lution as part of the national mess; we out doubt needs the background provided do need cleaner sources of energy, and Wayne Roberts is Chair of the Depart• by his or her chemistry course, and one better handling of the waste we generate. ment ofMathematics and Computer Sci• can't learn chemistry without first taking ence at Macalester College. This article algebra. To whom will we turn for help? We don't first appeared in the Star Tribune, Min• know. We can'tgo into our grade schools neapolis on 27 April 1991. That is the point to remember. Mathe• and identify the problem solvers of to• matics is not just another science; it is morrow. We can say with reasonable as• @ Star Tribune, Minneapolis. the language through which all of sci• surance, however, that they won't come Reprinted with permission. ence and much of management science from the ranks of those who decided not is taught. to study algebra.

(Editorial continued from opposite page.) in the Star Tribune, Minneapolis (though not, So how do we start to change the hopelessly regrettably, in the Washington Post) a week after misguided common perception of our subject? the original McCarthy piece. I think Roberts' Certainly not by overstating our case. Nor by letter deserves greater distribution than just trying to make sure that everyone knows how to one local newspaper. Of course, reproducing it solve a quadratic or differentiate a polynomial. in full, as I do in this month's FOCUS (see shaded The first, urgent priority is to raise the public box above), will not in itself further our cause; awareness of what mathematics is, its nature, FOCUS simply preaches to the converted. But if and the scope of its applications. An excellent FOCUS readers across the country took it upon example of how to go about this is provided by themselves to use their local media to put across the response to the McCarthy column written by Roberts' message, then maybe we can start to make Wayne Roberts, the Chair of the Department of some progress. Mathematics and Computer Science at Macalester College in St. Paul, Minnesota, which appeared Keith Devlin • The IIiews expressed In this column ~t those of the FOCUS editor. They do not necsssarfly reprBSBflt the official position of the MAA. A' quotes from Colman McCtuthy's column fflPrlnted with permission of the Washington Post Writ8tS GfOI.9'. @ 1991, Washington Post Writ8tS Gtoc.p. 4 FOCUS September 1991

Helaman Ferguson'. Umb/I/c Torus He

(Sculpture Unveiling continued from front page.) The actual unveiling of Time Shell was performed by Emily Begle, daughter of Edward G. Begle,the Stanford professor and long-time directorof the School Mathematics Study Group,who is the person perhaps most closelyidentified with the New Mathrevolution of the 196Os. Edward Begledied in 1978. Craig SchaUer'. Time Shell The sculpture was purchased for the MAAin Begle's honorby Alice C. Beckenbach, widowof Edwin F. Beckenbach, whoformanyyears was chairof the MAA Committee on Publications and for whomthe MAAawardsthe Beckenbach book prize. All three mathematical sculptures now housed in the Vaughn Build• ing seek to present an artistic representation of a mathematics theme,but each does so in a quite unique way that reflects the ap• proach of the sculptor. The first piece, Helaman Ferguson's Umbilic Torus NC,acquired in 1990,was described in the January-February 1991 issueof FOCUS (Volume 11, Number 1). Szczarba's Three Pentagons is basedon a theoremof Jesse Dou• glas on skewpentagons (SCripta Mathematica 25 (1960): 5-9). Ca• sualobservers of the sculpture will seean elegantand pieasing geo• metricconstruction in three dimensions; those who delve a little into the mathematics behind the artistrywill gaina lot more. Therelevant mathematics is described in full in Chapter Nine of Isaac Schoen• berg's Mathematical Time Exposures, published by the MAA in 1982,the coverof whichin fact illustrates the sameresult. Schoen• berg himself constructed a wooden model of just such a sculp• ture, a precursor of the beautiful Szczarba structure that nowstands in the MAA's Begle Room on the Vaughn Building's second floor.

Considered from a mathematical standpoint, Schaffer's Time Shell is somewhat more abstract than either of the other two, in that it does not set out to depict any particular mathematical structure or result. As the Pataskala, Ohio based sculptorhimselfexplains, "My sculptures are not meantto be solutions to an equation. I preferto dance with nature on the edge of symmetry, in the midst of [this] ordered chaos." And yet Time Shell, like many of the artist's other pieces, strikes the vieweras very definitely "mathematical." For like mathematicians, Schaffer findshimself"inspired by shapes that owe their structure to the typeand sequence of forces that created them." Observing naturewith an artist's eye has led him to createa num• ber of other "mathematical" sculptures, among them Double Helix Candlestick, Spiral Ascent, and Infinite Hourglass, the latter com• Robert Szczarba'. Three Pentagons missioned by the Institute for Advanced Studies at Princeton. • September 1991 FOCUS 5

(Teaching Award. continued from front page.) Ivars Peterson Receives tion Award. Section secretaries will be asked to solicit nominations Communications Award from within the Section, and to publicize the nomination process in any additional ways they think appropriate, such as in the Section This year's Joint Policy Board For Mathematics (JPBM) Communi• newsletter or the local news media. cations Award has gone to the science journalist and best-selling mathematics writer Ivars Peterson, author of The Mathematical Anyone is entitled to make a nomination, but nominations from Tourist: Snapshots of Modern Mathematics, and the more recent chairs in departments of mathematical sciences are to be espe• Islands of Truth: A Mathematical Mystery Cruise. Peterson, who is cially solicited. Self-nomination is not permitted. Each Section will the Mathematics and Physics Editor at Science News, received the appoint its own Selection Committee to choose one of the nominees award on 10 July 1991 at the Sheraton Washington Hotel in Wash• for the Section Award. At the spring 1992 meeting of the Section, ington, DC, at a ceremony held in conjunction with ICIAM '91, the the awardee will receive special recognition, which will be Widely Second Intemational Conference on Industrial and Applied Mathe• publicized and acknowledged within the Section. The awardee will matics. The award consists of a citation, a $1,000 prize, and, of then be the official Section candidate for the national award. course, recognition by the mathematics community.

The ADCUTM Committee will choose the national award winners Peterson has been writing articles on mathematics for Science from the pool of Section awardees except that one winner may be News since 1981. His book, The Mathematical Tourist, published selected from another source. There will be at most seven national in 1988 by W. H. Freeman and Company, has sold over 70,000 awardees in the first year, and at most three in subsequent years. copies and will soon be available in several foreign languages. It has been a Library of Science and Book of the Month Club selec• The eligibility rules and guidelines for the new award are as follows. tion. Islands of Truth, published in 1990, seems destined to follow in the same footsteps. ELlGlBlLrrv (1) College or university teachers assigned at least halftime during "Few science writers command the respect of the scientific commu• the academic year to teaching a mathematical science in a public or nity in this country as lvars Peterson does," says Jeremiah Lyons, private.college or university (from two-year college teaching through mathematics publisher from W. H. Freeman. "Ivars has identified teaching at the PhD level) in the United States or Canada. Those stories and topics of potential interest to lay readers which other u~e on approved leave (sabbatical or other) during the academic year publications have then picked is there first." in which they are nominated qualify if they fulfilled the requirements Peterson earned bachelor's degrees in physics and chemistry as in the previous year; (2) at least five years teaching experience in well as In education from the University of Toronto. He taught high a mathematics science; (3) membership in the Mathematical Asso• school mathematics and science for eight years before turning to ciation of America. science journalism.

GUIDELINES FOR NOMINATION Popularizing mathematics is not without its dangers, as Peterson Nominees should (1) be widely recognized as extraordinarily suc• pointed out in his remarks at the award ceremony, recalling an cessful in their teaching;* (2) have t!'lSChlng effectiveness that can occasion when he persuaded the editor of Science News to run be documented; (3) have had influence in their teaching beyond a front cover illustration featuring the number 561, along with the their own institutions;** (4) foster curiosity and generate excitement caption "Prime or Not Prime?" That was on 6 March 1982 and was about mathematics in their students. intended to accompany a feature on primality testing. To Peterson, 561 was a good example, since it is a pseudoprime, that is, a Nominations must be submitted on the "Nominations Form," pre• composite number that passes the Fermat primality test. But to pared by the national Committee and to be distributed by the Sec• many Science News readers, it was not at all appropriate. Since tion Secretary. It is important to follow the instructions on that form the sum of the digits of 561 is divisible by 3, the number is definitely precisely to assure uniformity In the selection process both at the not prime, as many a high school student will observe at a glance. Section and national levels. Fortunately, Peterson was not deterred by this early mishap, and Nominations must be submitted to the Section secretaries by the went on to write a number of articles that have even helped spread the news of new mathematical discoveries to other scientists who deadline specified by them, generally expected to be about 1 Jan• went on to make use of what they have read in Science News. uary 1992. The Section Selection Committee will select the Section awardee during January and communicate its selection to the na• The award to Peterson marks the third time the JPBM has granted tional committee no later than 1 February 1992, so that the national its Communications Award. The JPBM, D. C. Heath, and Pergamon committee can then make its selections. Press sponsor the award. Previous awardees were James Glelck, author of Chaos, and Hugh Whitemore, for Breaking the Code. • We look forward to widespread participation in this exciting MAA venture of taking substantive action to honor extraordinarily suc• Photograph courtesyof the Joint PolicyBoard for Mathematics cessful teaching. The MAA wants to see such teaching recognized at all postsecondary school levels. •

* teaching is to be interpreted in its broadest sense, not neces• sarily limited to classroom teaching (it may include activities such as preparing students for mathematical competitions at the college level, for example, the Putnam Prize Competition or the Mathemat• ical Contest in Modeling, or attracting students to become majors in a mathematical science or PhD candidates).

** "influence beyond their own institution" can take many forms, including demonstrated lasting impact on alumni, influence on From Ie" 10 rtght: Michael Arlin, AMS President; Ivars Peter• the profession through curricular revisions in college mathematics son, JPBM Communications Award recipient and writer at ScI• teaching with national impact, influential, innovative books on the ence NewtI; Deborah Tepper Halmo, MM President; and Robert teaching of college mathematics, etc. E. O'Malley, Jr., SIAM President 6 FOCUS September 1991

Contributed Papers in Baltimore Wade Ellis, Jr. Department of Mathematics From Wednesday, 8 January through Saturday, 11 January 1992, West Valley College the Mathematical Association of America will hold its Joint Annual 14000 Fruitvale Avenue Meetings, with the American Mathematical Society (AMS), in Bal• Saratoga, California 95070 timore, Maryland. The complete meetings program announcement will appear in the October 1991 issues of both FOCUS and the Barbara A. Jur Notices of the American Mathematical Society. The Association Department of Mathematics publishes this preliminary announcement to encourage participa• Macomb Community College tion and to provide lead-time for organizing the MAA contributed WSlTen, Michigan 48093 paper sessions. Please note that the days scheduled for these sessions are tentative. The organizers mentioned below solicit con• • MATHEMATICS FORTHE HEALTH SCIENCES tributed papers pertinent to their sessions' interests and concerns; Friday, 10 January 1992 you may submit your proposal to the appropriate organizer(s) at Henry Clay Foehl the address(es) provided. For additional information on these con• Philad8lphia College of Pharmacy and Science tributed paper sessions, please consult pages two and three of the Woodand Avenue at Forty-Third Street Jun'h.luly 1991 issue of FOCUS. Philad8lphia, Pennsylvania 19104 • AcTuARIAL MATHEMATICS EDUCATION AND RESEARCH • MATHEMATICS PLACEMENT TESnNG PROGRAMS: Saturday, January 11 1992 THEIR ORGANIZATION, ADMINISTRATION, AND PROBLEMS James W Daniel Wednesday, 8 January 1992 Department of Mathematics RoseC. Hamm RLM8-100 Honors Program University of Texas at Austin College of Charleston Austin, Texas 78712 Charleston, South Carolina 29424 • ENVIRONMENTAL MATHEMATICS John G. Harvey Thursday morning, 9 January 1992 Department of Mathematics and Saturday, 11 January 1992 480 Lincoln Drive Ben A. Fusaro University of Wisconsin at Madison Department of Mathematical Sciences Madison, Wisconsin 53706 Salisbury State University Salisbury, Maryland 21801 • RESEARCH IN UNDERGRADUATE EDUCATION Thursday morning, 9 January 1992 • INNOVATIONSIN MATHEMATICS COURSES FOR BUSINESS and Friday moming, 10 January 1992 Wednesday morning, 8 January 1992 and Thursday afternoon, 9 January 1992 Ed Dubinsky Department of Mathematics Purdue University West Lafayette, Indiana 47907

• THE "SEVEN INTO FOUR" PROBLEM Wednesday afternoon, 8 January 1992 Science Scholars Sought and Friday afternoon, 10 January 1992 David H. Carlson The Mary Ingraham Bunting Institute of Radcliffe College Department of Mathematical Sciences will award eight Science Scholars Fellowships for 1992• San Diego State University 1993. These felloWships, funded by the Office of Naval Re• San Diego, California 92182 search, include a minimum of $29,000 stipend plus research Ann E. Watkins allowance for a one-year appointment, 1 September 1992• Department of Mathematics 31 August 1993. Women scientists who are US Citizens or California State University at Northridge permanent residents of the US and have held the PhD for Northridge, California 91330 two years prior to appointment are eligible for this program. The Institute will accept applications in several scientific fields •A TOOLBOX FOR LJBERAL ARTS MATHEMATICS CoURSES inclUding computer science and mathematics. It will jUdge Thursday afternoon, 9 January 1992 applications on three criteria: qUality and significance of pro• and Friday morning, 10 January 1992 posed project; the difference the fellowship might make in ad• vancing the applicant's career; and balance among scientific John Wesley Emert and Kay Meeks disciplines. Science Scholars must reside in the Cambridge· Department of Mathematical Sciences Boston area during the entire term of appointment. The In• Ball State University stitute does not provide housing. If your proposed research Muncie, Indiana 47305 project requires a laboratory affiliation, you must establish • USING SPREADSHEETS TO TEACH MATHEMATICS such an affiliation with a laboratory in the greater Boston Wednesday moming, 8 January 1992 area. For application materials, contact: Fellowships Office, and Thursday afternoon, 9 January 1992 The Mary Ingraham Bunting Institute of Radcliffe College, 34 Concord Avenue, Cambridge, Massachusetts 02138; (617) Robert S. Snith 495-8212. FAX: (617) 495-8136. Application deadline: 15 Department of Mathematics and Statistics OCtober 1991 (postmarked). Miani University Oxford, Ohio 45056 • September 1991 FOCUS 7

Mathematics Sails into Baltimore! Mathematical Poetry in Baltimore An exciting program, with an environmental thread, awaits partici• pants at the 1992 Joint AMS-MAA Annual Meetings In Baltimore, Maryland, scheduled from Wednesday through Saturday, 8-11 Jan• A lyrical interlude promises to entertain and delight partici• uary 1992. Details of the program, including preregistration, hous• pants during the 1992 Annual Meetings in Baltimore, Mary• ing, and minicourse Information, will appear in the October 1991 land when, on Friday, 10 January 1992, 7:0G-10:00 pm, the Humanistic Mathematics Network hosts a poetry reading ses• issue of FOCUS. sion. Session organizers JoAnne S. Growney of Blooms• The MAA program features five invited speakers: David H. Carl• burg University, Daniel Kalman of Aerospace Corporation, son of San Diego State University; Ingrid Daubechies of Rutgers and Elena A. Marchisotto of California State University at University and AT&T Bell laboratories; James W. Demmel of the Northridge especially seek original poetry on mathematics University of California at Berkeley; Jeffrey Shallit of the University and invite mathematicians to read or recite their work. If time of Waterloo; and Harold Stevenson of the Department of Psychol• permits, the session will also inciude work of other poets. ogy at the University of Michigan. In addition, Lida K. Barrett of the The organizers will reproduce the selected poetry in a book• National Science Foundation (NSF) and forty-third President of the let for distribution during the session. Potential participants MAA, will deliver her Retiring Presidential Address. should forward three copies of each poem by 31 October 1991 to: JoAnne S. Growney, Department of Mathematics, Four Joint AMS-MAA Invited Speakers will also deliver addresses Bloomsburg University, Bloomsburg, Pennsylvania 17815. during the meetings: Joan Birman of Rutgers University; Simon You should include each poem's reading or recital time and, A. Levin, Charles A. Alexander Professor of Biological Sciences at if you submit more than one poem, you should rank them in Cornell University; Isadore M. Singer of the Massachusetts Institute order of preference. of Technology; and J. Ernest Wilkins of Clark Atlanta University. In addition, on Saturday, 11 January 1992, 1:0G-2:00 pm, The environmental thread will feature a major invited address, an the Humanistic Mathematics Network invites participants to environmental breakfast, a contributed paper session on Environ• another special reading, entitled The Calculus Virgin. Math• mental Mathematics, a panel discussion on Getting Started, and an ematician Louis Leithold and artist-poet d'Arcy Hayman will AMS special session. In addition, Robert McKelvey of the Environ• read poetry and display drawings which communicate Hay• mental Research Lab-EPA in Corvallis, Oregon will lead a mini• man's passionate and thrilling response to Leithold's seminar course on Environmental Modeling, and the ad hoc Committee on calculus for teachers of advanced placement calculus. on the Environment and the Committee on Student Chapters will cosponsor a student workshop. On the meeting's first day, John Von Neumann's brother, Nicholas A. Vonneumann, will deliver a special presentation on The Philo• sophical Legacy of John Von Neumann. Nicholas Vonneumann, perhaps the only living witness to Von Neumann's early years, will Summer Meetings in 1992 report on the evolution of his brother's formative years and will Kenneth A. Ross, MAA Secretary discuss John's attitude concerning manifestations of nature, prag• Robert M. Fossum, AMS Secretary matism, positivism, pure versus applied science, responsibility of scientists, geopolitics, etc. The book display and sales area will The year 1992 is a very special one for summer meetings. ICME-7, include a fascinating exhibit of memorabilia and photographs from the International Congress for Mathematics Education, is meeting the Von Neumann family. in QuM>ec City, 17-23 August 1992, at the Universit6 Laval. As in 1986, when the joint AMS-MAA summer meeting was cancelled in Naomi D. Fisher of the University of Illinois at Chicago and the deference to the ICM '86 In Berkeley, there will be no joint AMS• Mathematics and Education Reform Network (MER), Harvey B. MAA summer meeting In 1992. Again as In 1986, we hope that Keynes of the University of Minnesota, and Philip Wagreich of the many mathematicians will attend the International congress Instead. University of illinois at Chicago have organized a Joint AMS-MAA Special Session on Mathematics and Education Reform. If you Since many MAA leaders will be attending ICME-7In QuM>ec, the wish to participate in this Joint AMS-MAA Special Session, you MAA Board of Governors wID meet just prior to that meeting on Sat• should submit an abstract by 11 September 1991 to: Josephine urday, 15 August, at the HOtel des Gouverneurs in QuM>ec City. In Faria, The American Mathematical Society, PO Box 6248, Provi• addition, several MAA committees will be meeting there during the dence, Rhode Island 02940. period 13-16 August. For additional Information on this interna• tional event, see pages ten and eleven of this issue of FOCUS. The meeting will also include familiar MAA program elements: six• More information about ICME-7 will appear in subsequent Issues teen minicourses, nine sessions of contributed papers, and various of FOCUS and the Notices of the American MathematicaJ SocIety. panel discussions. The program has also incorporated several el• There will be a joint meeting of the American MathematicaJ Soci• ements designed to appeal particularly to students, Including the ety and the London Mathematical Society in Cambridge, England, first Career Fair ever mounted for a national meeting. Approxi• 29 June-1 July 1992. This meeting will be similar to usual AMS mately thirty companies and agencies that employ mathematically sectional meetings in that there will be five Invited addresses and trained people will discuss the work mathematicians do for these several special sessions. Professors John M. Ball, Lawrence Craig companies and the kind of mathematical expertise they seek. Evans, Benedict H. Gross, Nigel J. Hitchin, and Edward Witten In addition, the AMS has also assembled an enticing program. have accepted Invitations to deliver invited addresses. Several in• Michael E. Fisher of the Institute for Physical Sciences and Technol• teresting special sessions are being organized and others are in ogy at the University of Maryland will deliver the Gibbs Lecture and the planning stage. An additional treat that meeting participants Robert P. Langlands of the Institute for Advanced Study at Prince• will enjoy will be the offlclaJ opening ceremony of the Isaac New• ton University will deliver the Colloquium Lectures. AMS Invited ton Institute for Mathematical Sciences. Further details about this Speakers include Yakov M. Eliashberg of Stanford University; Ma• meeting will appear in Notices. rina Ratner of the University of California at Berkeley; Walter Rudin The Council of the AMS usually meets during the joint AMS-MAA of the University of Wisconsin at Madison; and Michael Shearer of summer meeting. A meeting of the Council will probably be neces• North Carolina State University. - sary,but a time and place have not yet been determined. - 8 FOCUS September 1991

e-MATH: An Electronic Service for Mathematicians Kevin Curnow

e-MATH-a node on the Intemet-has been in operation since Octo• These tools include: ber 1990. Partially funded with a three-year National Science Foun• dation (NSF) grant, e-MATH consists of a dedicated computer facil• • electronic conferencing with moderated and unmoderated con• ity and associated software maintained and supported by American ferences on selected topics of research interest Mathematical Society Staff members. e-MATH's primary mission is • a database of abstracts that point to on-line preprint and soft• to become an electronically-based clearinghouse for timely profes• ware repositories sional and research information in the mathematical sciences. • a prototype electronic journal This is an ambitious goal and one that will only be attained by progressive stages of development and implementation. e-MATH's commitment to act as a clearinghouse for information relevant to CURRENT FEATURES e-MATH currently supports these features: mathematicians means not only inhouse deVelopment of key appli• cations, but also the inclusion of applications developed by other • an on-line database consisting of entries in the Combined Mem• individuals and organizations. Since it is possible to open and close bership List featuring membership information from the Ameri• a telnet connection from inside the e-MATH shell, e-MATH can sup• can Mathematical Society (AMS), the MM, and the Society for port applications developed by any site that offers Intemet connec• Industrial and Applied Mathematics (SIAM); tivity. In addition, e-MATH actively seeks cooperative participation • a professional opportunities register that includes employment with other professional organizations in the development of new position listings from the AMS publications, Employment in the applications that serve the entire mathematics community. Mathematical Sciences, and the ability to post brief resumes e-MATH has been developed to be accessible to as many mathe• which can be mailed electronically to employers listed in the maticians as possible. Thus, usage is dependent only on having register; an Intemet connection and VT100 terminal emulation. Under • a distribution archive for AMS-supported TE'{software; e-MATH's design, it will be possible to implement new components that take advantage of evolving hardware and software technology • document delivery services for reference material collected by (such as X-Windows) with minimum discontinuity to the user view the AMS; of the system. • the Mathematical Reviews subject classification scheme, se• Currently, the e-MATH system consists of a core group of applica• lected classifications of which can be mailed electronically. The tions (described beloW) that have attempted to address the objec• entire classification scheme can be viewed on-screen or down• tive of providing professional information. Attention is now being loaded via anonymous FTP; and turned to the larger and more complex task of providing tools that will facilitate timely sharing of research information and results. • a command-driven name look-up for Combined Membership List searches.

ACCESSING e-MATH The requirements for a successful connec• tion to e-MATH are: 1) a connection to an Internet host; 2) VT100 connectivity in communications software and host operating sys• tem; 3) terminal tabs set at every eight columns. Mathematics Awareness Week To Jogon to e-MATH, type: 26 April-2 May 1992 tel net e-math.ams.com or Every April, Mathematics Awareness Week (MAW) salutes the richness and relevance of mathematics. During a week• telnet 130.44.1.100. long celebration from SUnday, 26 April-5aturday, 2 May 1992, the festivities will focus on mathematics and the environment. login and password are e-MATH. Mark your calendars now and plan to organize a Mathematics To access the e-MATH CML name look-up service, type: Awareness Week event. tel net 130.44.1.100 2050 (UNIX hosts) The 1992 celebration also offers an opportunity to contribute telnet 130.44.1.100/port=2050 (VMS hosts) to Mathematics Awareness Week. The Office of Governmen• tal and Public Affairs (OGPA) of the Joint Policy Board for At the "Enter Name" prompt, enter the last name of the person you Mathematics (JPBM) seeks slogans, slides, and graphics that would like to look up in the CML database. First names may be reflect next year's mathematics and the environment theme. given in the following manner: "lastFirst", with no spaces around The originator(s) of the selected material will receive credit on the ":". The search wildcard "." may be used in the name string. all printed material and complimentary posters and postcards. ADDITIONAL INFORMATION Help screens are available for each Please submit your ideas and materials by 30 September e-MATH application. For additional information, or for assis• 1991 to: Joint Policy Board for Mathematics, Office of Gov• tance accessing and using e-MATH services, send e-mail to: ernmental and Public Affairs, 1529 Eighteenth Street North• [email protected]. • west, Washington, DC 20036-1385. Kevin Curnow is a member of the e-MATH support group. September 1991 FOCUS 9

Zvezdelina Stankova Is on a full scholarship at Bryn Mawr College. She won a competition In Bulgaria to identify gifted students to study in the United States. As a high school student, she participated in the International Mathematical Olympiad on the Bulgarian team which won sliver medals in 1987 and 1988. Stankova finished 101st In the 1991 Putnam Competition. Next year, her senior year at Bryn Mawr, she will be taking graduate courses at the University of Pennsylvania and hopes to graduate with both a bachelor's and a master's degree in mathematics. "One of the brightest young people I have evern known, Zvezde Is truly a star, as her name sug• gests: said Professor Rhonda J. Hughes in her nomination letter.

The following women undergraduates received honorable mentions.

Sarah Marie Belcastro Is a senior at Haverford College. She has written a senior thesis In algebraic combinatorlcs and a paper with Gary Sherman based on her participation in a Research Experi• Photograph COU(fesy of the Association for Women in Mathematics ence for Undergraduates program (REU) at Rose-Hulman Institute of Technology. Jeanne Nielsen, a senior at Duke University, was awarded the sec• ond annual Alice T. Schafer Mathematics Prize, sponsored by the Debra Boutin is a senior at Smith College. In joint work with Association for Women In Mathematics (AWM). The Prize carries Michael Albertson of the Smith faculty, she wrote a research paper a stipend of $1,000 and is given to an undergraduate woman in in graph theory. She Is also thirty-something and a single parent. recognition of excellence in mathematics. The criteria for selection Cheryl Grood is a junior at the University of Michigan who has include, but are not limited to, the quality of the nominee's perfor• successfully completed some very demanding courses in the de• mance in mathematics courses and special programs, an exhibition partment. She participated in an REU program at Rose-Hulman of real interest in mathematics, the ability to do independent work, Institute of Technology in 1990 and this resuhed in a paper in com• and performance in mathematical competitions, if any. The Prize is putational group theory. named for AWM formerpresident and one of its founding members, Alice T. Schafer, who has done so much for women in mathematics Karen King is a senior at Spelman College and will begin graduate throughout her career. This year's selection committee consisted work at the University of Maryland in the fall. She has been en• of Bhama Srinivasan (chair) of the University of Illinois at Chicago, gaged in research projects on coding theory at NASA and Spelman. Alice T. Schafer of Marymount University, and Jill P. Mesirov of She gave a talk at the Conference on Undergraduate Research at Thinking Machines Corporation. the California Institute of Technology (Caltech) and at a spring 1991 meeting of the Mathematical Association of America. Zvezdelina Stankov&, a junior at Bryn Mawr College, was de• clared runner-up, and eight other exceptionally talented undergrad• Speranta Mareu is a senior at Santa Clara University. Her results uate women received Honorable Mentions. A sophomore and a in a summer research project were presented at the Conference first-year student were singled out for outstanding performances on Undergraduate Research at Caltech in March 1991. so early in their mathematical careers. The Association received Edith Mooers is a senior at the University of Washington who, to ninety nominations, more than twice the number received for the quote her nominating faculty member, "performed at a stellar level" first Prize awarded in 1990. The selection committee was grati• in an advanced Ue theory course. She has participated in an REU fied by the response and the high level of achievement of young program at the University of Washington, as a resuh of which she women studying mathematics around the country. The committee has written a research paper with the conference organizers. also made note of the significant number of older women with fam• ilies who had been nominated this year. Jessica Polito is a junior at Harvard University who has taken Harvard's accelerated program with great success and is at the The prize is funded by an endowment with the initial contribu• level of some of the first year graduate students. She was one of tions coming from the AWM, the American Mathematical Society the top 200 in the 1991 Putnam Competition. (AMS), and the Mathematical Association of America (MAA), as well as from individual contributors. Additional contributions will Diana Thomas is a senior at the University of Montana. She is help to ensure the long-term viability of the Prize. Checks made writing a senior thesis on fluid flows and turbulences. Her work payable to "ATS Math Prize" may be sent to the Association for resulting from an REU program at the University of Colorado at Women in Mathematics, Box 178, Wellesley College, Wellesley, Boulder was presented at the Conference on Undergraduate Re• Massachusetts 02181. search at Caltech in March 1991.

Jeanne Nielsen, the winner of the award, was described as a "highly In addition, two nominees were given special recognition by the original, enthusiastic, and talented young mathematician" and one Prize Committee for their outstanding achievements in mathematics of the best undergraduate mathematics majors her nominators had so early in their careers. Vick Chan is a sophomore at Barnard Col• seen anywhere. Neilsen began to show promise as a research lege who won the annual mathematics prize competition at Barnard• mathematician the summer after her sophomore year when she Columbia. Her answer to one of the problems was described as obtained results In finite group theory which have been submitted "more enlightening than the answer designed by the creators of the for publication. More recently, her Interest in algebraic and dif• exam." She is described by a Barnard faculty member as "the most ferential geometry has yielded some Impressive research results talented undergraduate we have seen at Barnard In my seventeen there. Professor Robert Bryant, in his letter nominating her for the years here." Millie Niss is a first year student at Columbia Univer• prize, said, "Her mathematical maturity and insight are astonishing." sity. She wrote a research paper in combinatorics in her very first Neilsen received an Honorable Mention In this year's Putnam ex• semester. She is described by a faculty member as the "strongest amination, a national mathematical competition for undergraduates, undergraduate student I have ever worked with, irrespective of year, finishing 30th out of 2,347 contestants. sex, or any other arbitrary category." • 10 FOCUS September 1991

Photograph courtesy of BernardR. Hodgson

Jeremy Kilpatrick

The Seventh Intemational Congress on Mathematical Education cians and mathematicseducationin ancient Mayan society; Ronald (ICME-7) will be held at the Universitll Laval, Qullbec, Canada, L. Graham (USA) on applied discrete mathematics; Miguel de from 17-23 August 1992. This will be the first ICME in North Guzman (Spain) on the evolution of the theory of differentiation America since the ICME-4 at Berkeley, Calfornia in 1980. Uni• of integrals; Bernard A. Hodgson (Canada)on nonstandardanaly• versitll Laval is close to the historic walled city of Qullbec, the first sis and the teaching of calculus; Glenda Lappan (USA) on teacher site in North America to be declared part of the world's heritage education in mathematics;and Jack H. van Unt, Jr. (Netherlands) by UNESCO.The congress is being organiZed on behalf of the In• on the present state of discrete mathematics. ternational Commission on Mathematics Instruction (ICMI) by the A specialhalf-dayminiconferenceon calculatorsand computerswill Canadian National Committee for ICME-7. ICMI is a commission be held the first aftemoon of the congress. The miniconference will of the International Mathematical Union; its congresses are every consist of plenary talks and demonstrations, simulatedclassrooms, four years, alternating in even-numbered years with International and short presentations. Participantswill work in one of five groups Congresses of Mathematicians (ICM). according to their interest in different levels of education. ICME-7is expected to attract around 3,000 mathematicsteachers, Each participantwill also selectone of twenty-threeworkinggroups teacher educators, mathematicians, curriculumdevelopers, and re• in which to work for four ninety-minutesessions,one each moming searchers in mathematics education. Because mathematics edu• for four of the congress days. Working groups will study subjects cationtouches many disciplinesbut is not a discipline itself, its inter• ranging from the formation of elementary mathematicsconcepts at national congresses are organized differently from those of mathe• the primary level to students' difficultiesin calculus, and from math• matics. The seven-day congress will contain a mixture of lectures ematics education with reduced resources to theories of leaming and discussionsessions, together with posters, videotapednational mathematics. In the aftemoons, there will be opportunitiesfor par• presentations, projects, exhibitions, and workshops. An excursion ticipants to present short communicationsthrough posters, video• is scheduledfor one of the days. The program will allow ample op• tapes, or computer software. There will be exhibitionsof mathemat• portunities for choice and for interaction with colleagues. English ics in arts and crafts and of children's work, workshops on games and Frenchare the official languages, with most sessionsexpected and other activities, and a "math trail." to be in English and some services in Spanish. Also in the aftemoon will be meetings of various topic groups and study groups. Each participant can choose one of sixteen topic Topics that are likely to receive considerable attention at the groups (with topics such as mathematics competitions, the theory congress include the use of new technology in mathematicsteach• and practice of proof, teaching mathematics through project work, ing, the social and cultural contexts of mathematics education, as• and the philosophy of mathematics education) and meet with the sessmentand its effects, and national efforts to promote curriculum group for a ninety-minture sessionon each of two afternoons. Each change. Congressparticipantswill have many opportunitiesto hear of the three ICMI study groups (the Intemational Group for the Psy• about developmentsin mathematicsand in mathematics education chology of Mathematics Education, the International Group on the aroundthe world. Plenaryaddressesare to be given by A. Geoffrey Relations between History and Pedagogyof Mathematics, and the Howson(UnitedKingdom), Colette Laborde (France),and Benoit B. International Organization of Women and Mathematics Education) Mandelbrot(France and the USA). The forty or so lecturers include will organizefour ninety-minute sessions. Three of the recent stud• A. D. Alexandrov (USSR) on geometry as an element of general ies produced by ICMI(onthe influenceof computersandinformatics, culture; Desmond Broomes (West Indies) on mathematics educa• the popularization of mathematics, and assessmentand its effects) tion in the Caribbean; Yves Chevallard (France) on a social ethic will each be presented in two or four ninety-minute sessions. for mathematics teaching; Michael Closs (Canada) on mathemati- (ICME-7 continues on opposite page, bottom.) September 1991 FOCUS 11

Annual Ohio State Technology 1991 Mathematical Sciences Conference Relocates to Portland Department Chairs Colloquium The Fourth Annual Conferenceon Technologyin Collegiate Mathe• The Board on Mathematical ScIences (BOMS) of the National Re• matics, previouslyhosted by The Ohio State University, has moved search COuncil (NRC) will hold Its 1991 Mathematical SCiences to Portland, Oregon. The conference will be held Friday-SUnday, Department Chairs COlloquium on 18 and 19 October 1991 In Ar• 15-17 November 1991 at the Portland Hilton. The host institution lington, \'Irginla. The theme of the 1991 colloquium is Encouraging is PortlandState Universityand Jeanette R. Palmiterof the Depart• Talent In the Mathematical Sciences Pipeline. The program Is de• ment of Mathematics is in charge of IocaJ arrangements. Bert K. signed to provide information and materials chairs may use in the Waits and Franklin D. Dernana, both of The Ohio State University, design of recruiting and nurturing programs for their departments. remain the conference cochairs. Conferees will be provided with handouts containing information The conference will feature more than fifty invited presentations on concerningthe various aspects and levels of the mathematical sci• topics such as the use of technology in collegiate and high school ences pipeline. On Friday, 18 October, 1991, a panel presentation mathematics from high school algebra through linear algebra, dif• and floor discussion on these issues will be held. The foliowing ferential equations, and abstract algebra; testing with technology; moming, workshops on what department chairs may do to encour• currentresearchand future trends in the role of technologyin math• age talented students to enter and remain in the mathematical sci• ematicslearning;and the role of technologyin calculus. In addition, ences will be held. There will be separate workshopsfor research there will be forty-four free two-hour "hands-on" graphing calculator universities and liberal arts and/or teaching institutions. The Infor• mation presented the preceding day will serve as the basis for the workshops on the latest products from Texas Instruments, Hewlett• workshops. New department chairs are encouraged to attend the Packard, and Casio,and twentytwo-hour"hands-on" computermini• session planned for their benefit. Topics to be discussed include courses. A large exhibitarea will be availablefor textbookpublishers resource allocation and faculty evaluation. and hardware vendors. The keynote speaker for the colloquium is Mary Good, Chair of the CALL FOR PAPERS AND POSTERS Interested persons may sub• National ScIence Board. The program also includes sessions pro• mit a one-page abstract for the paper sessions or a proposal for viding information on encouraging members of underrepresented the poster sessions along with two self-addressed, stamped en• groups in the mathematical sciences, the PhD job market, and velopesto: Lewis Lum, Departmentof Mathematicsand Computer the pipeline In statistics. In addition, there will be two panels Science, University of Portland, 5000 North Willamette Boulevard, of representatives of federal agencies that fund mathematical sci• Portland, Oregon 97203. Abstracts and proposals must be re• ences projects: one panel will discuss programs concerned with ceived by 1 October 1991. In the poster sessions, one easel will research-orlented programs and the other will discuss education• be provided; no hardware or any other equipment will be provided. pipeline-infrastructure programs. Selected candidates will be notified by 15 October 1991. The registration fee Is $160.00 and includes all colloquium ses• The conference Is sponsored by Addison-Wesley PublishingCom• sions, materials,and related meals and sociaJ activities. For further pany. For registration information, contact: Addison-Wesley Pub• information, contact: Board on Mathematical Sciences, National lishingCompany, ConventionsDepartment,One Jacob Way, Read• Research Council, 2101 Constitution Avenue Northwest, Room ing, Massachusetts 01867-9984. • NAS 312, Washington, DC 20418; (202) 334-2421. •

(ICME·7 continued from previous page.) TOURIST INFORMATION Quebec, cradle of French civilization in The congress will provide an unparalleled occasion for anyone in• North America, lies 250 kilometers northeast of Montr8al and is tersted in the teaching and learning of mathematicsto find out what easily accessibleby air or by land. Quebec City is a natural citadel is happening elsewhere in the world, to meet old and new friends, perched astride a cliff, Cap Diamant, dominating the majestic Saint and to exchange views on theory, research, and practice. The Laurent river which flows at its feel Samuel de Champlainfounded secondAnnouncement is available now. It contains not only more the city in 1608 and today, with 600,000 residents, it remains the information about the program, but also forms for registration, ac• only walled city north of Mexico. Quebec offers some of the best, commodation, and short presentations. It can be obtained by con• yet affordable restaurants in Canada and ICME-7 participants will tacting: Congr~s ICME-7Congress,Universitll Laval, Quebec,OC, enjoy diverserecreationsfrom the CapTourmenteWildlife Reserve, canada G1K 7P4; (418) 656-7592; [email protected]. FAX: Quebec Zoo, and the splendid Montmorency Falls to the sidewalk (418) 656-8000. Telex: (021) 051-31621 UNILAVAL QBC. Reg• cafes along the Place d'Armes and the city's numerous museums. istration fees are less If paid before 15 June 1992 and are even In August, the average high temperature is 74 degrees. iower if paid by 15 December 1991. Applications for accommo• dation must be made by 1 July 1992, and applications to make Laval Universitil, host to the ICME-7festivities, is the oldestfranco• a short presentation or to present a project must be made by 31 phone university in America. 33,000 regular students and 14,000 January 1992. Full program details will be contained in the Third extension and summer students contribute to Its dynamic, cos• Announcement, which will be available in April 1992 and will be mopolitan atmosphere. The Laval campus offers impressive facil• sent to those who register by 15 June 1992. The MAA will not hold ities and servlces-its student residences can accommodate more a summer meeting In 1992, so MAA members are cordially invited than 2,000 people. In addition, many hotels and quaint auberges to join us In Quebec next August. • can be found near the university.

Jeremy Kilpatrick, Professor of Mathematics Education at the Uni• For additionalinformationon Quebecand its many attractions,con• versity of Georgia, is Vice President of the Intemational Commis• tact: Quebec City Region Tourism and Convention Bureau, a sion on Mathematical Instruction (ICMI) and a member of the In• Department of La Communaute Urbaine de Quebec, 60 d'Auteuil temational Program COmmittee for ICME-7. Street, Quebec, QC canada G1R 4C4; (418) 692-2471. • ALLEGHENY MOUNTAIN The Section's annual FLORIDA The Section honored Professor meeting was part of the Centennial Celebra• Robert Kalin of Florida State University with en tion at West Virginia State College in Institute, the Distinguished Service Award for 1991. West Virginia. The local arrangements, hos• The Section's spring 1991 newsletter devoted pitality, and program were outstanding. Early a full page to the citation for Bob Kalin who Friday afternoon before the meeting, there served as newsletter editor and then as secre• £: was a minicourse on writing in mathematics tary-treasurer for six years. This Section by David A. Smith of Duke University. The gave An Introduction to Inequalities, Volume opening invited address, Random Strategy Three of the New Mathematical Ubrary, to the Experimentation, was given by Charles Hen• thirty-five top scorers on the American High o drix of the Applied Statistics Group at Union School Mathematics Examination (AHSME). Carbide. Other invited speakers were David Expenses were paid for the fifteen under• --- A. Cusick of Marshall University, Robert L. graduates who presented papers at the an• Devaney of Boston University, and Thomas nual meeting. This annual meeting included ... W. Tucker of Colgate University. George the following speakers: Philip Lee Bowers of (.) B. Thomas, Jr., Professor Emeritus at MIT, Florida State University, Robert D. Campbell who now lives in State College, Pennsylva• and Michael J. Mears, both of Manatee Com• nia, gave a contributed talk on formulas for munity College, David W. Kammler of South• sums of series. In another contributed talk, ern Illinois University, Amold J. Mandell of (1) Charles W. Zimmerman of Robert Morris Col• Florida Atlantic University, Thomas W. Tucker lege showed how to determine the optimal al• of Colgate University, and Peter M. Winkler locations for flexible benefit plans. The an• of Emory University. The Florida section is nual pizza party on Friday evening was held divided into seven regions, six of which had at the lovely Shawnee Park clubhouse. The meetings this past year; the total attendance en Section and Allegheny College cosponsored at these meetings exceeded the attendance a summer short course on Discrete Dynam• at the Florida Section annual meeting ical Systems with principal lecturer James T. Sandefur, Jr. of Georgetown University. The Program Committee is representative of the Section's various constituencies one each EASTERN PENNSYLVANIA AND DELAWARE The from a PhD institution, liberal arts college, Section sponsored two regular meetings, each and community college. The success of their with four invited addresses. The fall meeting meetings is due to their program's quality was organized around general interest topics, and diversity and to the fact that many re• while the spring meeting focused on decision lated mathematics organizations use the an• sciences. Both meetings included student• nual meeting as a time to meet. This list of contributed paper sessions. The spring meet• organizations includes: the Florida Two-Year ing, held at LaSalle University, included hour College Mathematics Association, the Special addresses by Janos Galambos of Temple Uni• Interest Group in Computer-Assisted Learn• versity, Fred S. Roberts of Rutgers Univer• ing In Mathematics, the Florida Association of sity, and William E. Rosenthal of Ursinus Mathematics Educators, the State University College. James M. Landwehr of AT&T Bell System Chairs of Mathematics Departments, Laboratories gave an invited address entitled and the Two-Year College Chairs of Mathe• What Should Be In An Introductory Statistics matics Departments. Course? There were two one-hour sessions £: for contributed student papers. ILLINOIS A short course in Applied Combi• natorics by Alan C. Tucker of the State Uni• In October the Section sponsored a sympo• versity of New York at Stony Brook preceded sium, Underrepresented Groups in Mathe• the annual meeting at Eastern Illinois Univer• matics: Overcoming the Obstacles, which sity. This meeting included an hour talk by o was coordinated by Joanne S. Darken of the Robert V. Hogg of Iowa University. A new as• Community College of Philadelphia. A follow• pect of this year's meeting was the reports of up workshop on Freshmen Programs to In• recent developments in research in topology, aease Access was cosponsored by the Uni• algebra, and analysis. This seventieth meet• en versity of California at Berkeley's Charles A. ing also featured sessions on knot theory and Dana Center for Mathematics and Science Ed• its applications and on computer modeling of ucation in April. Marvin L. Brubaker of Mes• cognitive processes of the brain, and a panel ~ siah College continues to coordinate the Sec• report on the Illinois Cooperative Mathemat• tion's annual workshop which this year was ics Placement Test, as well as student paper entitled, Writing in Mathematics Classes, with and classroom notes sessions. (.) Barbara J. Rose of Roberts Wesleyan Uni• versity as chief presenter. The Section also has a visiting lecturer and consultant program which is coordinated by JoAnne S. Growney of Bloomsburg University. This Section is plan• o ning a student day for September 1991. LL September 1991 FOCUS 13

The Section sponsors an excellent lecture University. Saturday afternoon talks at the KANSAS The Kansas Section joined the program to providehigh schools in Illinois with spring meeting weregivenby Stephen C. Carl• Kansas Association of Teachers of Mathemat• an opportunity to host mathematicians from son of Rose-Hulman, Amos Carpenter of But• Ics and the Kansas Mathematical Associa• local colleges, universities, or businesses. ler University, Michael Greenwich of Purdue tion of Two-year Colleges (KAMATYC) in a Transportation costsfor the speakers arecov• University at Calumet, Ruben Schweiger of In• spring conference at Southwestern College. ered by the Section; sometimes high schools dianaWesleyan University, John Synowiec of This meeting includeda mathematics educa• pay a modesthonorarium; R. Devadoss Pan• Indiana-Northwest University, and PeterYff of tion roundtable, contributed paper sessions, dian of North Central University chairs this Ball State University. and a talk by RayC. Shiflett, Executive Direc• Committee on SecondarySchool Lectures. tor of the Mathematical Sciences Education Cathy Murphy of Purdue University at Ham• Board (MSEB). At the Saturdayluncheon, Bill The illinois Section's Committee on Teacher mond and Steve Carlson of Rose-Hulman are Richardson spoke on Kansas Mathematical Preparation and School Mathematics, cur• assembling a history of the Indiana Section Sciences Education Coalition. rently chaired by Larry J. Morley of West• andwouldlike any Information concerning the ern Illinois, keeps the Sectioninformed about Section sent to them. The Indiana Section KENTUCKY A successful annual meeting the requirements and national recommenda• is also soliciting Ideas which can be used at Northern Kentucky University included so• tions. Illinois is another Section which has in mathematical exhibits In children's muse• cial time after the invited address on Friday Institutional memberships through which the ums in the state. The Section would appre• evening (Aftermath), breakfast on Saturday institutions in the· Section help to sponsor ciateassistance from any MAA members and morning, and a campus tour. Bart Braden the programs. The Section supports the Illi• asksthat you sendyour suggestions to Roger of Northern Kentucky University presented a nois Mathematics Coalition, which is an al• Lautzenheiser. shortcourse (with no fee) on Enhancing Cal• lianceof leadersworkingto providestatewide culus with Mathematica. Joseph B. Fugate supportfor excellence in mathematics educa• INTERMOUNTAIN The annual spring meeting, of the University of Kentucky gave the open• tion. Other projects of this active Sectionare held at Ricks College in Rexburg, Idaho, In• ing address, The Fixed Point Property, and the outreachto minoritiesand their integrated cludeda session for MAArepresentatives and Christine A. Shannon of the University of Ken• two-yearlfour-year involvement. a minicourse, An Introduction to Chaos, by tucky gave the closing address, Mathematics Russell B. Walker of Montana State Univer• v.t/ich Arises in the Study ofAlgorithms. Stu• INDIANA Rick Gillman of Valparaiso Uni• sity. Invited speakers included MAA Secre• dentsare included In all aspects of the Section versity and Roger G. Lautzenheiser of Rose• tary Gerald L. Alexanderson of Santa Clara meeting, and sevenstudents wereInvolved in HulmanInstituteof Technology reportthat the University, PatrickM. Langof IdahoStateUni• contributed papers. Jacqueline C. Mossof the Indiana Section was treated to a stimulat• versity, and T. Benny Rushing of the Univer• Kentucky Section is Involved in an examina• Ing and thought-provoking fall meetingat Val• sity of Utah. Faculty who gave contributed tion and reviewof the mathematics sequence paraiso University. The meeting began with paperswere Lee Badgerof WeberState Col• for elementary education majors, the topic of a Fridayevening banquetwhich was followed lege, Lawrence O. Cannon and Stanley C. a conference which was held In November at by a lively discussionwith regardto curricular Williams, both of Utah State University, Darls Elizabethtown Community College. revisions in mathematics departments around Howard of Ricks College, and Vencil Skarda the State. Participants were G. Daniel Cal• and Donald R. Snow, both of Brigham Young LOUISIANA AND MISSISSIPPI Theannual meet• Ion of Franklin College, Mary V. Connolly of University. A panel discussion on using tech• ing in Biloxi, Mississippi was one of the best St. Mary's College, Notre Dame, G. Elton nology in teaching included, in addition to ever, with 264 attending. A student career Graves of Rose-Hulman, Richard Smock of Don Snow, Boyd L. Cardon and Dan Chid• panel with representatives from the space DePauwUniversity, and PatrickJ. Sullivan of dlx, bothof RicksCollege, Kendall H. Hydeof program, the actuarial field, information sys• Valparaiso University. While faculty members Utah State University, and Lawrence J. Kratz tems, and software development was profes• attended the Friday evening program, stu• of Idaho State University. Thirteen student sionallyrecorded by a local television station. dents enjoyeda pizza party hosted by mem• speakers completed this gatheringof enthusi• SteveUgh of Southwestern louisiana Univer• bers of the Valparaiso Student Chapter and astic speakers; expenses of studentspeakers sity coordinates the studentteam competition plannedby the presidentof the chapter, Kath• are covered by their institution. in which, this year, seventeen teams of four leen E. Tanner. Speakerson Saturdaymorn• students eachparticipated. Firstplacewentto ing Included Louis H. Kauffman of the Univer• IOWA This year marksthe seventy-fifth an• Northwestern State University, second to the sity of Illinoisat Chicago, John O'Bryan, a stu• niversary of the Iowa SectionI They hope University of Mississippi, and third to Missis• dent at Rose-Hulman, Richard R. Patterson to mark the ocx:asion with a short history of sippi University for Women. of Indiana University-Purdue University at In• the Section, which will Includeanecdotes and dianopolis, Arlo W. Schurle of Rose-Hulman, personal recollections, and requestthat these Awards were given for student paper pre• Dennis M. Snow of Notre Dame University, be sent to Elgin H. Johnston at Iowa State sentations at the annual meeting, with three and Mary T. Treanorof Valparaiso University. University. The Iowa Section held Its an• awards given for undergraduate papers, of nual meeting jointly with the American Sta• which there were a total of seven, and three Thetwenty-sixth annualIndianaCollege Math• tistical Association (ASA) and the American awards given for graduate student presenta• ematics Competition was held duringthe Sec• Mathematical Association of Two-Year Col• tions, of which there were four. Sixty-six stu• tion's spring meeting at Anderson University. leges (AMATYC) at Drake University. Ses• dents attended the meeting. Franklin D. De• Eachof the twenty-three teams (fromfourteen sions Included a talk on Life after the Bach• manaof Ohio State University and WadeEllis differentcolleges) consisted of three students elor's Degree by Jennifer Rowleyof the Uni• of West Valley College gave workshops. This working together to solve seven problems in versityof Nebraskaand WayneL. Woodworth annual meeting, which was held at the Royal two hours. The winningteam was from Rose• of The Principal Company. One-hourpresen• d'IbervilleHotel in New Orieans. provided the Hulman with Purdue and Goshen Universities tations were given by Robert Stephenson of opportunrfy for students to meet with industry finishing second andthird. Talks weregivenby Iowa State University and Wayne Robertsof representatives in a night session. William W. Dunham of Hanover College and Macalester College. In addition to studentpa• MAA President Deborah Tepper Haimo. Stu• pers,therewerethree sessionsof contributed dent speakers were Joel E. Atkins of Rose• facultytalks. Hulman and Kathleen E. Tanner of Valparaiso 14 FOCUS September 1991

MARYLAND-DISTRICT OF CoLUMBIA-VIRGINIA At the Section's annual meeting at Calvin Col• NEW JERSEY The Section recognizes the This year marks the seventy-fifth anniversary lege, its Women's Study Group convened a great variety of mathematical Interests in the of the founding of the Maryland-District of meeting of mathematicians interested in its current membership and tries to see that the Columbia-Virginia SectionI The Section is goals and those of the Association of Women Section programs are diversified to meet the interested in preparing a history and would in Mathematics (AWM). The annual meeting needs of this membership. Their fall meeting appreciate any materials relating to its early also induded a workshop on graphing calcu• was held at Seton Hall University and included days. These materials can be sent to John lators, student papers, and invited addresses. talks by Aigli Helen papantonopoulou of Tren• G. Milcetich at the University of the District of This Section has a new Committee on Student ton State College, Ann K. Stehney of the Cen• Columbia. Both the fall and spring meetings Activities. Another committee of the Section is ter for Communications Research, and Donald of the Section Included contributed papers, in• preparing a brochure which seeks to convince Forbes of Chase Manhattan Bank, and a dis• vited addresses, and workshops. An Interest• high school and middle school students that cussion on the future of New Jersey MATH• ing part of their spring meeting is that teams they should study mathematics. This Is one of NET. MATHNET, supported by the New Jer• from the Section who earn a meritorious rat• those section projects which will be of interest sey Section, is a group which aids in further• ing in the MathlilfTlatical Competition in Mod• to all MAA members. ing communication among the college mathe• eling are Invited to the meeting. This Section matics community, state, and local organiza• fielded 20 of the 235 teams in 1991. The fall MISSOURI The annual meeting was pre• tions. Members of the Section are involved meeting included a student chapter swap ses• ceded by two five-hour workshops on Derive with state-wide groups concerning mathemat• sion for chapter advisors and students; invited and Mathematica, Thursday evening and Fri• ics education at all levels. speakers were Bill E. Bompart of Augusta Col• day moming. The Derive workshop was pre• lege, and Joseph A. Gallian of the University of sented by Bill Huston of Missouri Westem Uni• The spring meeting at Georgian Court Col• Minnesota at Duluth. The workshop presented versity. Mathematica was presented by fac• lege was held jointly with the Mathematics As• by Gregory D. Foley of Ohio State University ulty at the University of Missouri at Rolla• sociation of Two-Year Colleges of New Jer• was on Graphing Calculators in the Class• Harry R. Gee, Leon M. Hall, Robert R. Roe, sey. Speakers were Dean Chung of Mountain room. This meeting also induded a panel dis• and Jack Scrivner-who have taught sections Lakes High School, John Conway of Prince• cussion on local mathematics coalitions. The of calculus in which Mathematica has been ton University, Cynthia Coyle of Trenton State workshop in the spring was on GyroGraphics used since 1989. One of the invited hour• College, Frank Morgan of Williams College, by the invited speaker, Jerry A. Johnson of lectures was cosponsored by a private foun• Linda Lesniak of Drew University, and Ronald Oklahoma State University. dation. The Invited speakers induded Kather• E. Ruemmler of Middlesex County College. ine L. Pedersen of Southern Illinois University, This Section is one of many which encourages METROPOLrrAN NEW YORK The 1991 An• MAA Executive Director Marcia P. Sward, and students to attend meetings and give talks. nual Meeting was a two-day event to cele• Stan Wagon of Macalester College. The Sec• brate the Section's Fiftieth Annual Meeting. tion sponsors an annual 5K run/walk bright NORTH CENTRAL The biannual Section Sum• Peter J. Hilton of the State University of New and early on Saturday moming of the meet• mer Seminar, this year on Chaotic Dynami• York at Binghamton discussed breaking Ger• ing, and also special breakfast sessions for de• cal Systems, was held in August at the Uni• man codes with the Enigma Machine during partment chairs and for MAA representatives. versity of Minnesota at Duluth, with principal World War II. Gilbert Strang of MIT addressed The Missouri Mathematics Association for the lecturer Robert L. Devaney of Boston Univer• The Teaching of Calculus: Careful Changes. AdvarlCement of Teacher Training conducted sity. Harlen W. Stech of the University of Min• The Annual Metropolitan New York Math Fair a business meeting and presented a speaker nesota at Duluth was in charge of arrange• was also a success, with many outstanding at one of the regular sessions of the Section ments. North Central's fall meeting at South student papers. meeting. Karen Pederson was the speaker Dakota State induded an informal gathering for Missouri Mathematics Association for Ad• of the Association for Women in Mathematics MICHIGAN The Michigan Mathematics Prize vancement of Teacher Training. During Math• (AWM) so students could meet and talk with Competition, now in its 34th year, was fea• ematics Awareness Week, the Section chair established women mathematicians. tured in 475 of the 750 high schools in the was on a local radio talk show. state; 18,529 students participated. This two• The spring meeting featured several presen• part competition has been hosted by East• NEBRASKA This Section is renewing efforts tations on regional and national mathemat• ern Michigan University for the past three to include high school teachers by inviting the ics education reform efforts. Joseph D. E. years, with Christopher J. Gardiner, Christo• Nebraska Teachers of Mathematics Organi• Konhauser's retirement from Macalester Col• pher E. Hee, and Don R. Lick playing signifi• zation to become affiliated with the Section. lege was recognized in a presentation by Sy cant roles in its success. The competition will The annual meeting, held at Nebraska Wes• Schuster of Carleton College. One of the be hosted by Lawrence Technological Univer• leyan University, induded a panel discussion invited talks was by John H. Ewing of In• sity, with guidance from William C. Arlinghaus on teaching mathematics with computer tech• diana University, Can We See the Mandel• and Ruth G. Favro. The Michigan Section has nology, moderated by Steve R. Dunbar of the brot Set? Wayne Roberts of MacaJester Col• its own Distinguished Service Award which is University of Nebraska at Lincoln. David B. lege and Anita Solon of Grinnell College both presented to one or more members at the Cooke of Hastings College, Thomas S. Shores talked about calculus reform. Wayne gave an annual Michigan Section meeting each May. of the University of Nebraska at Lincoln, and overview of efforts and Anita talked about spe• Harold T. Slaby, Professor Emeritus of Mathe• Richard L. Vogt of Nebraska Wesleyan Uni• cial activities. Students and advisers partici• matics at Wayne State University, received the versity were panel members. Faculty from the pated in an informal coffee and rolls session Section's fifth Distinguished Service Award in University of Nebraska at Lincoln who con• to share concerns and plan future sessions. ceremonies at the annual meeting banquet in tributed talks induded: Linda Sue Fosnaugh, Grand Rapids. The very complete Michigan Steven P.Haataja, David A. Klamer, Dale Mes• Section newsletters include full-page citations ner, Donald W. Miller, Melvin C. Thorton, and to those individuals who receive the Section's Qiu-rang Wu. University of South Dakota fac• Service Awards. Newsletters also provide a ulty .who delivered talks included: Jose D. forum for discussion of issues of importance Flores, Yuhlong Lio, Myron Mortazavi, and to the mathematical community by soliciting Richard Raposa. Other contributed papers opinion features for public education. were by David B. Cooke of Hastings College and Charles M. Warden of Omaha University. September 1991 FOCUS 15

NORTHEASTERN The Section Inaugurated a special paper session on ordered algebraic PACIAC NORTHWEST The annualmeetingIn• programthis year to bring successful national structures, which fit beautifUlly with the retiring cluded a workshop by Victor Klee of the Uni• MAA minicourses to the Section. The first president's address, On Circles and Dough• versity of Washington on unsolved problems, course, Using History in Teaching Calcuius, nuts (Or Locally Partially Ordered Groups,) Thursday afternoonand Friday morning. Cart was given by V. Frederick Rickey of Bowl• by Janet B. Roll of the University of Findlay. E. Swenson of Seattle University offered a ing Green State Universityat BentleyCollege. Robert S. Smithof Miami Universitypresented short course on the TI 81. A presentation on Morethan one hundredSectionmembersfrom a minicourse on Computer Assisted Learning the actuarial profession was given by two lo• six New England states and two Canadian in AbstractAlgebra. cal actuaries. Invited speakers included Ivan provincesrepresenting two- and four-yearcol• Nivenof the Universityof Oregonand John E. leges, high schools, and industries attended. The fall meetings spotlighted applied and In• Hopcroftof Cornell University. dustriaJ mathematics with Invitedaddressesby The Section established the Howard Eves Peter E. Castro of Eastman Kodak and Peter This SectIon meets In June which enables Award for Meritorious Service to recognize Tuchlnskyof Ford Motor Company. Castro's them to begin the meeting on Thursday af• outstanding contributions and service to the title was Industrial Mathematics: More Than ternoon with a short course with Thursday Northeastern Section. Most appropriately, the Applied Mathematics. A swap session cover• eveningfreeto enjoythe areaIn whichtheyare .first recipient of this award was Howard Eves, ing the broad spectrum of applied mathemat• meetingand then continuethe shortcourseon the founder of the Section. This award was ics, mathematical modeling,computerapplica• Friday morning. The annual meeting at Seat• presentedat the November1990meetingheld tions and courses related to these topics was tle Pacific University was In conjunction with at Framingham State College. This fall meet• also part of the fall meeting. centennial celebrations at both Seattle Pacific ing Included a presentation by Clayton W. and Seattle Universities. Dodge of the University of Maine especially The Committeeon Student Members Is com• for students, The Twin Circles ofArohimedes: piling a list of speakers in the Section who ROCKY MOUHTAIN The annual Sectionmeet• Are They ReaDyTwins? and a talk by Ma~orie are interested in giving talks to MAA student Ing, held at the Universityof NorthernCalifor• Senechal of Smith College on Disorderly Pat• chaptersand other undergraduate mathemat• nia, Included two workshops: KarenTonson of terns. The regular student swap session for ics groups at Ohio colleges. This Committee Metropolitan State University presented Nine students and advisers was held dUring lunch coordinates the activities of the student chaP• Women Who Count, and William D. Emer• on Saturday. ters and is in charge of planning activities for son, also of Metropolitan State University, pre• the spring meeting. sented Teaching Calculus with Mathematics. The Northeastern Section meeting programs There were three panel discussions, Quanti• include presentations by faculty in both col• OKLAHOMA AND ARKANSAS Theannualmeet• tative Literacy, Mathematical Modeling, and leges and high schools, students, and math• Ing, held at Cameron University, Included Impact of NCTM Standards on the College ematicians from industry. The spring meet• four sessions of student papers. Students at• Classroom. MAA President Deborah Tepper ing Included a panel discussion on writing to tended a workshop on the History of Math• Halrno's major address completed this meet• teach mathematics and computer workshops ematics which was funded by a grant from ing of twelve studentpapersand fourteencon• on Epic Mathematica, and ISETL At the Stu• the Cameron University Foundation and di• tributed faculty talks. The meeting felicitously dent Chapter Session of the spring meeting, rected by Joel K. Haack of Oklahoma State coincided with Mathematics Awareness Week, James Ward of Bowdoin College shared his University. Faculty attendeesparticipated In a which was designated a special week via a experiences as a Fulbright Scholarat the Na• workshop on Combinatorial Games, directed declaration signed by the Colorado governor. tional Universityof Lesotho. Plans are under• by RichardK. Guy of the Universityof Calgary. Donald B. Small of Colby College taught a way by the Sectionto begin a programof din• The Sectionhas a very successful modelof in• Summer Short Course at Fort Lewis Univer• ner meetings on a regional basis. volvingstudentsin meetingactivities,Including sity on the use of computer algebra systems a breakfaston both Fridayand Saturdaymorn• in teaching caJculus. NORTHERN CALIFORNIA The format of having Ings, a luncheon for faculty advisers of stu• only invited addresses at the annual meeting dent mathematical organizations, and awards SEAWAY In 1989-1990, the SectIon focused was again successful. The speakersIn Febru• for student speakers. its fiftieth anniversary meeting at Colgate Uni• ary 1991 were Wade Ellis, Jr. of West Val• versity. In 1990-1991, it emphasized its pro• ley College, John H. Ewing of Indiana Univer• A special recognition and appreciation were grams,Increasing participation, variety, and vi• sity,JosephA. GaJlian of the Universityof Min• extended to John M. Jobe of Oklahoma State tality. Each meeting will In the future have a nesota at Duluth, Judith V. Grabiner of Pitzer University as his thirteen-yearterm of office as featured lecturer-the Gehman Lecture each College, and David E. Logothetti of Santa seaetary-treasurer came to a close. During spring and a newiy Instituted Invitedlecture In Clara University. Departmentchairs and MAA those years, John has instituted many suc• mathematics education In the fall. For 1990• representatives informally discussed a pro• cessful activities and programs. The Section 1991 John Hubbardof Comell Universitypre• gram used in Northem California to Inaease believes through his leadership and energy sentedthe GehmanLecture, and PeterD. Tay• the number of mathematics majors who are theynow havea Committee of Chairpersons of lor of Queen's Universitygave the speciallec• graduatedfrom their institutions. the Mathematics Departments In their Section ture in mathematics educationat the fall meet• which meets every year during the SectIon's ing. At both meetings, H. Joseph Straight of OHIO The Section continues its suocess spring meeting; a SectIon newsletter; a pro• the State University of New York, College of with student activities at the spring meet• gramwhicheach yearrecognizes an outstand• Fredonia, and the Program Committee pro• ing. This year there were thirty-three stu• ing Secondary School Mathematics Teacher; vided greater variety In the program through dent talks with over sixty students in atten• and a workshop series for Section members special sessions on calculus reform, mathe• dance. ActIvitiesfor students included a mini• on current topics and Issuesin mathematics. matics courses for elementary education ma• course by William W. Dunham of Hanover jors, Ideas on the teaching of mathematics, College on The Bemoullis and the Harmonic computers In the classroom, as well as a ses• Series and an information session on grad• sion on research mathematics. The Section uate school. The spring meeting featured a experimented with student talks at both fall and spring meetings but student participation seemsto favorthis emphasisin the springonly. 16 FOCUS September 1991

CharlesH. Websterof UticaCollege, the Sec• SoUTHERN CALIFORNIA The annual fall meat• two-year and four-year oolleges and by Ray tion's public information officer, submitted in• ing, held jointly with the American Mathemat• C. Shiflett, Executive Director of the Mathe• formation on the spring meeting at Oneonta to ical Society (AMS), featured a talk by Harvey matical Sciences Education Board (MSEB) on local papers highlighting the meeting and any B. Keynes of the University of Minnesota and Retaining Minorities In Mathematics. participation by a speaker fromthe paper'scir• a panel discussionlworkshop session: Lead• culation. (Somewere published.) ing Mathematics Into the 21st Century. In ad• TEXAS The annual meeting attracted 249 ditionthere were invitedaddresses by Brooks participants and featured a short course on SoUTHEASTERN The Section was fortunate Redi and John de Pillis. There were ten con· Dynamical Systems-Chaos and Fractals by to havethreeexcellent invitedspeakers forthe tributed papers in two sessions: Mathemati• Marilyn B. Durkin of Bentley College, 7 invited annual meeting: Stephen E. Puckette of the cal Notes and The Teaching of Mathematics. addresses, 42 oontributed papers, and 4 stu• University of the South, who spoke on The Thefall 1991 meeting, alsoa joint meeting with dent papers. A student workshop on Chaos Future of Non-Standard Analysis, Daphne the AMS, will be at the University of CalifQl'nia and Fractals was an abbreviated version of Smith of the University of Georgia, whose ti• at Santa Barbara. A special effort has been the short oourse. In addition, department tle was Classes of Sets with VC Dimen• made to Include program materials bothacces• heads, institutional representatives, two-year sion, and Shirley M. Frye, Past-President of sibleand interesting to undergraduate mathe• oollege members, and MAA student chapter the National Council of Teachers of Mathemat• matics students (Including a panel discussing sponsors met in special sessions. Graduate ics, who chose for her topic, Challenges for There IS Life After the SA In Mathematics. In• school representatives were available to inter• This Decade of Decisions or Decisions in This vited Speakers include Michael H. Freedman view prospective students during a two-hour Decade of Challenges. The short oourse, of the University of California at San Diego, session. JamesC. Bradford of Abilene Chris• Computers in the Mathematics Classroom, Paul R. Halmos of SantaClaraUniversity, and tian University, and Don E. Edmondson of the oonducted by Lester J. Senechal of Mount Michael Townsend. University of Texas at Austin were awarded Holyoke College, and LadnorD. Geissinger of Section distinguished service awards. the University of North Carolina at Chapel Hill The Spring meeting of the Section, heldjointly was oversubscribed. A proportionately large withthe Southern CalifomiaSection of the so• A Section Committee on Lower Division Col• number of students registered for the meeting, ciety for Industrial and Applied Mathematics lege Mathematics was established last spring and a popular event with them was TA Rush. (SIAM) at EICamino Collegewastheoccasion to raplaca the Calcul.us Study Committee. The student from this Section with the highest of the Section's first session for papers con• With its charge now changed to reflect an in• score on the Putnam examination, Jeffrey M. tributed by students. The session of eighteen terest in the mathematics curriculum for all Vanderkam of DukeUniversity, was presented papers, presented by twenty students, was so lower division courses, a major new project a check for $100.00in recognition of this high successful that such a session will be a part is the trial publication of the Texas Mathemat• achievement. The Section is making an effort of the program at the joint MAA-SIAM meeting ics Curriculum Newsletter. .work oontinues on under the leadership of SylviaT. Bozeman of in 1992. The occasionwas also enhanced by establishing an MSEBTexas Coalition and on Spelman College, to enlist greater participa• donations of valuable gifts by industry for two oompiling a section-wide mathematics course tion by minorities in its activities. of the students (chosen by lot). There were related software inventory. invited addresses by Andrew M. Bruckner of WISCONSIN The Fifty-Ninth Annual Meeting The Southeastern Section has grownapproxi• the University of Californiaat Santa Barbara, of the Wisconsin Section, held at the Univer• mately100%duringthe last sevenyearsfrom Stanley J. Osherof the University of California sityof Wisconsin at Oshkosh, included a work• 1400 members to more than 2700 members. at LosAngeles, and HerbertS. Wilf of the Uni• shopon the use of the TI·81 graphics calcula• Along with this growth in membership has versity of Pennsylvania. In addition, Charles tor in oollege mathematics classesby Franklin oome a growthin Section activities. Theseac• S. Stanton and Peter D. Williams, both of D. Demana of Ohio State University. This tivitiesare both coordinated and reported by a Califomia State University at San Bernardino, meeting, with a theme of modeling, featured teamof statedirectors who haveall completed oonducted a oomputer algebra workshop and five invited talks. One by William J. Lehr, a their terms during this past year. The original James R. Bunch of the University of Califor• physicist with the National Oceanic and At· state directors are Carlton Woods of Auburn nia at San Diego, David H. Carlson of San mospheric Administration, was on models of University for Alabama, David R. Stone of Diego State University, Jane M. Day of San atmospheric plumes and models for oil spills. Georgia Southern University for Georgia, Ellen Jose State University, and Roberto A. Mena (These models are currently in use in the Per· E. Kirkman of Wake-Forest University for North of California State University at Long Beach sian Gulf.) The forty-four contributed papers Carolina, Robert D. Frayof Furman Unviersity held a panel discussion on curriculum reform were of high quality. The fact that Walterand for South Carolina, and Horace E. Williams of for linear algebra. The spring 1991 meeting MaryEllenRudin areretiringadded human in• Vanderbilt University for Tennessee. Activities was truly a joint meeting in that the program terest to their excellent addresses. supported by the membership of the South• was planned by a single program committee eastern Section include the State Mathemat• and each invited speakergave a MAA-SIAM ics Coalitions whose goals are to encourage, In an attempt to increase oooperation be• invited Address. This was the first meeting of tween seoondary school and oollege teachers coordinate and facilitate state level activities the Southern California Section to be held at of mathematics, the Wisoonsin Section and which will help implement national goalsat the a community oollege. the Wisconsin Mathematics Council (WMC) statelevel. Activities of these StateMathemat• will sponsor a joint fall meeting at University of ics Coalitions are reported in the Southeastern SoUTHWESTERN The annualmeeting, heldat Wisoonsin-Centers at Fonddu Lac. Robert W. Section Newsletter. New Mexloo State University, included a short Langerof the University of Wisconsin at Eau course (no fee) on Projects In Calculus, pre• sented by David J. Pengelley of New Mexioo Claire has summarized data from an informa• tion sharing questionnaire concerning teach• StateUniversity. The meeting was heldjointly with the New Mexioo Mathematical Associa• ing load and budget issues. Bonnie A. Berken Katherine Muhs, both of St. Norbert tion of Two-Year Colleges which seemed to and L. swell the attendance as well as the numberof College, are in charge of the Section Mathe• maticsContest which involved almost 13,000 papers presented. Good presentations were students this year. givenby Stephen B. Rodiof Austin Community College who discussed the relations between September 1991 FOCUS 17

In Memoriam

David H. Anderson, Professor, Southern Methodist Univer• Robert B. Ludwig, Associate Professor, State University of sity, died 12 April 1991 at the age of 51. He was an MAA New York, College at Buffalo, died 23 October 1990 at the member for 28 years. age of 59. He was an MAA member for 28 years.

Thom.. A. Bronikowski, Associate Professor, Marquette Kenneth A. Lueder, Instructor, Metropolitan Technical Com• University, died in June 1989 at the age of 56. He was an munity College, died in 1991 at the age of 48. He was an MAA member for 20 years. MAA member for 23 years.

Andrea Brown, Assistant Professor, Suffolk County Com• Mary E. Maxwell, Assistant Professor, University of Akron, munity College, died 1 August 1990 at the age of 61. She died 20 December 1990 at the age of 43. She was an MAA was an MAA member for 4 years. member for 15 years.

Emil W. Brown, retired, American Telephone and Telegraph, Randy H. Murphy, Instructor, Centralia Community College, died in May 1990 at the age of 65. He was an MAA member died in August 1990 at the age of 49. He was an MAA for 33 years. member for one year.

Otto M. Carothers, Jr., Professor, University of Wisconsin Vern A. Nelson, Professor, Metropolitan State College, died at Platteville, died 26 December 1990 at the age of 60. He 12 February 1990 at the age of 56. He was an MAA member was an MAA member for 30 years. for 27 years.

Allen Byron Cunningham, Professor, West Virginia Univer• John J. O'Brien, Jr., retired, San Jose Unified School Dis• sity, died 3 May 1991 at the age of 79. He was an MAA trict, died in 1991 at the age of 77. He was an MAA member member for 50 years. for 28 years.

Americus J. D'Atri, Civil Engineer, died 17 November 1990 John C. Oxtoby, Professor Emeritus, Bryn Mawr College, at the age of 90. He was an MAA member for 50 years. died 2 January 1991 at the age of 80. He was an MAA member for 47 years. Margaret Earl, retired, died 2 February 1991 at the age of 94. She was an MAA member for 18 years. Wallace A. Raab, Professor, University of South Dakota, died in May 1991 at the age of 69. He was an MAA member Edwin Earl Floyd, former Vice President and Provost, Uni• for 33 years. versity of Virginia, died 9 December 1990 at the age of 66. He was an MAA member for 8 years. Carroll E. Rusch, Professor Emeritus, University of Wiscon• sin at Eau Claire, died in 1991 at the age of 76. He was an Mary Cleophas Garvin, retired, Notre Dame College, died MAA member for 45 years. 16 January 1991. She was an MAA member for 55 years. Kanhaya L. Singh, Professor, Fayetteville State University, Harry Gonshor, Professor, Rutgers University, died 15 May died in November 1990 at the age of 46. He was an MAA 1991 at the age of 62. He was an MAA member for 26 years. member for 15 years.

Albert A. Grau, retired, Northwestern University, died 5 Robert R. Stoll, Professor Emeritus, Cleveland State Univer• February 1991 at the age of 72. He was an MAA member sity, died in 1990 at the age of 75. He was an MAA member for 45 years. for 42 years.

Yvette S. Huisenfeldt, student, University of Nevada at Las Paul Weiss, Professor Emeritus, Wayne State University, Vegas, died in 1991 at the age of 19. She was an MAA died 19 January 1991 at the age of 79. He was an MAA member for one year. member for 30 years.

Leon Kotln, Associate Professor, Georgian Court College, Lauren G. Woodby, Professor Emeritus,Ohio State Univer• died 3 January 1991 at the age of 66. He was an MAA sity, died 14 March 1991 at the age of 66. She was an MAA member for 32 years. member for 37 years. .

Robert J. Lambert, Professor and Associate Director Emer• Samuel Yates, retired, died 22 April 1991 at the age of 71. itus, Iowa State University, died 22 April 1991 at the age of He was an MAA member for 9 years. 69. He was an MAA member for 44 years. We have also received word of the following deaths:

Sung J. Lee, Professor, University of South Florida, died in Younes Borki, student, Massachusetts Institute of Technol• November 1990 at the age of 47. He was an MAA member ogy; Raj C. Bose, Professor Emeritus, Colorado State Uni• for 2 years. versity; Paul Cramer, Associate Professor Emeritus, Mon• George P. Loweke, Associate Professor Emeritus, Wayne mouth College; Morton L Curtis, Professor Emeritus, Rice State University, died 22 March 1989 at the age of 87. He University; Rudolf K. Feste; Siegfried R. Goldner, Profes• was an MAA member for 43 years. sor Emeritus, University of Stellenbosch; Mark M. Lotkin, retired; Vincent P. Mango, retired, Central New England Clarence I. Lubin, Professor Emeritus, University of Cincin• College of Technology; Stephen S. Wagner, Professor, New nati, died 25 November 1989 at the age of 89. He was an York Institute of Technology; and Max Wyman, Professor MAA member for 69 years. Emeritus, University of Alberta 18 FOCUS September 1991

DEPARTMENT OF MATHEMATICS FOCUS Employment Advertisements Southern illinois University at Carbondale Carbondale, illinois 62901

Applications are Invited from qualified candidates The Mathematical Association of America's more ADVERTISING COpy DEADUNES for a tenure-track position at the assistant profes• than 31,500 members all receive FOCUS and sor level beginning on August 16, 1992. PhD in its "Employment Advertisements" as a standard The Association publishes FOCUS six times per statistics or In mathematics with a concentration in membership benefit. FOCUS readers describe year. Advertisement copy deadlines include: statistics is required. Preference is for mathemati• themselves as mathematicians teaching in sec• • December 1991 issue cal statistics and statistical inference with Interest In ondary schools, colleges and universities, or Monday, October applications. Candidates must have demonstrated working in business, industry, and government. 21 1991 excellence In research or potential for such. Evi• • February issue Rates for both classified and display FOCUS 1992 dence of teaching effectiveness Is required (foreign Monday, D8Cember Employment Advertisements: 16 1991 applicants must provide evidence of ability to teach in English effectively). Send letter of application, After these deadlines, we advise potential adver• • Fifty (50) words or less: $50.00 resume, and three letters of recommendation to: tisers to telephone MAA headquarters to inquire Statistics • More than fifty (50) words: about advertising space aVailability in these is• c/o Ronald B. Kirk, Chair $55.00 per column inch sues. The Association will accept postdeadline advertiS9fT19nts on a discretionary basis only. Department of Mathematics Each advertising column measures 14.33 pi• Southem Illinois University at Carbondale cas or 27/16 inches wide. Advertisements span• Anyone wishing to place an employment adver• Carbondale, Illinois 62901 15 tisement in FOCUS should contact: ning two columns measure 29.66 picas or 4 /16 The closing date for applications Is December inches wide. Advertisements spanning three Siobhan B. Chamberlin 10, 1891 or until the position is fUled. SIUC columns measure 45 picas or 7 1/2 inches wide. FOCUS Employment Advertisements IS AN EaUAL OPPORTUNITY/AFFIRMATIVE AC• TION EMPLOYER. Women and minorities are par• FOCUS offers a 15% discount for the same ad• The Mathematical Association of America ticularly encouraged to apply. vertisement in three or more consecutive issues. 1529 Eighteenth Street Northwest Washington, DC 20036-1385 The MAA will invoice advertisers after the flr.t Telephone: (202) 387-5200 DEPARTMENT OF MATHEMATICS occurrence specified in insertion orders. All in• FAX: (202) 265-2384 Southern illinois University at Carbondale voices include a tear sheet. e-mail: [email protected] Carbondale, illinois 62901 Applications are invited from qualified candidates for a tenure-track position at the assistant profes• sor level beginning on August 16, 1992. PhD in MATHEMATICIAN ALCORN STATE UNIVERSITY mathematics with speciaHzation In numerical analy• sis required. Candidates must have demonstrated Mount Salnt Mary's College, an independent, catho• Alcorn State University invites applications for the excellence In research or potential for such. Evi• lic college, has an opening in academic year 1991• position of assistant professor of mathematical sci• dence of teaching effectiveness is required (foreign 1992 for an entry level assistant professor of math• ences. Qualifications include a doctorate In an area applicants must provide evidence of ability to teach ematics, tenure-track. A PhD in mathematics Is re• of computer science and the ability to teach a wide in English effectively). Send letter of application, quired by September of 1991 (preferably In hand). range of computer science courses. Applications resume, and three letters of recommendation to: Candidates should possess a dedication to quality are also sought for an instructorship In mathemat• Numerical Analysis teaching at a small liberal arts college. Computer ics. Applicants for this position must have a mas• c/o Ronald B. Kirk, Chair experience is desirable as Is an Interest in mathe• ter's degree which includes a minimum of 18 grad• Department of Mathematics matical modeling and applications. Duties Include uate hours In mathematics or computer science. All Southem Illinois University at Carbondale teaching mathematics courses at all levels and In• applications must Include an official transcript and Carbondale, Illinois 62901 volvement In departmental and college-wlde activi• three letters of recommendation. The search will ties and committees. salary Is competitive. Letter continue until positions are filled. Send ail Inquiries The closing date for applications Is December of application, vita, and three letters of recommen• to: Search Committee, Mathematical Sciences, 10, 1991 or until the position Is filed. SIUC dation should be sent to: Dr. John August, Search ASU. Box 30, Lorman, MS 39096. IS AN EaUAL OPPORTUNITY/AFFIRMATIVE AC• Committee, Department of Mathematics & Com• TION EMPLOYER. Women and minorities are par• ticularly encouraged to apply. puter Science, Mount saint Mary's College, Em• ELON COLLEGE mitsburg, MD 21727. Application review begins OCtober 16, 1991 and continues until the position Applications are Invited for a tenure-track position DAVIDSON COLLEGE is filled. at the assistant or associate professor level begin• Department of Mathematics ning fail 1992. Requirements are a PhD in math• Mount saint Mary's College does not discrinlnate PO Box 1719, Devldson, NC 28036 ematics and a strong commitment to teaching at on the basis of sex, age, race, or national origin. Applications are Invited for a tenure-track position the undergraduate level. Preference wi' be given Women and minorities are actively encouraged to in the Mathematics Department beginning August to candidates with experience in teaching and a apply. 1992. Completion or near completion of PhD is re• demonstrated interest in curriculum development. quired. A candidate must be committed outstand• Evidence of experience In areas of applied math• to ing teaching and continuing scholarly activity. Some ematics or statistics is desired. Eion is a private, computer science background is desirable. Teach• liberal arts college with 3.300 students located be• tween Greensboro and Burlington, within an hour's Ing load will average 5.5 courses per year. Davidson drive of several colleges and universities. The math is a liberal arts college with a Presbyterian heritage. department has 10 full-time faculty members and Applications consisting of a statement of profes• 50 undergraduate majors. Duties include teaching sional aspirations and goals, resume, graduate and 12 hours per semester, continuing scholarship, and undergraduate transcripts, and 3 letters of refer• service. Representatives wll be attending the Bal• ence at least one about teaching) should be sent timore AMSJMAA meetings In January 1992. Send to the attention of Prof. L. R. King at the address letter of application, resume, copies of undergrad• above. (E-mail: [email protected].) Ap• uate and graduate tran~ts, and three letters of plications received by November 21, 1991 wiil re• reference to: Dr. Rosalind Reichard, Department ceive first consideration. Davidson College is an of Mathematics, Eion College, 2163 Campus Box, Equal Opportunity Employer: women and minorities TINJ AIAAnow prints FOCUSon recycltHl paper. Eion College, NC 27244. are encouraged to apply. September 1991 FOCUS 19

CARLETON UNIVERSITY SOUTHERN CONNECTICUT SOUTHERN CONNECTICUT Ottawa, Canada STATE UNIVERSITY STATE UNIVERSITY The Department of Mathematics and Statistics in• New Haven, CT 06515 New Haven,CT 06515 Department of Mathemadcs Department of Mathematics vitesapplications for a six-monthtermappointment, at the level of Assistant Professor, to commence Tenure-track position (subject to funding) at asst• Tenure-track position (subject to fUnding) at asst• January1, 1992. Applications are invited from out• assocrankbeginning 8-21-92 to teachundergradu• assoc rank beginning 8-21-92 to teach undergrad• standing candidates, both female and male, with a ate-graduate mathematics courses, especially those uate/graduate statistics and mathematics courses. PhD degree in the area of modern applied math• involving applications. Teaching load: 12 hours Teaching load: 12 hours per sem. Qualifications: ematics, with an emphasis in linear programming, per sem. Qualifications: doctorate in mathematics doctorate in statistics, evidenceof quality teaching, optimization, andcombinatorlcs. Thereis a possibil• with appropriate specializations, e.g., discretemath• potentialfor scholarlygrowth. Salaryis competitive. ity of this positionbecoming a tenure-track appoint• ematics, numerical analysis, differential equallons. SendIeller of application, vita, transcrl>ls, and three ment. The successful candidate will be expected Evidence of quality teaching, potentialfor scholarly lettersof recommendation to Dr. HelenBass,Chair. to be active in research, supervise graduate stu• growth; experience in business and'or industryde• Full consideration given to applications recelved by dents,and supportthe depar1menfs traditionof ex• sirable. Salary is competitive. Send letter of appli• 12·13-111 or until positionfilled. (AAlAOE). cellence in teaching. In accordance with Canadian cation, vita, transcripts, and three Iellers of recom• immigration requirements, this advertisement is di• mendation to Dr. Helen Bass, Chair. Ful consider• rectedfirst to Canaciancitizensand permanentres• ation given to applications received by 12-13-92 or Idents. Applications Including curriculavitae should until position fUIed. (AAlAOE). be addressed to: Dr. John D. Dixon, Chairman Department of Mathematics and Statistics Carleton University Ollawa, Ontario, canada K1 S 5B6 Candidates should also arrange for three Iellers of reference to be sent to the same address. Informa• lion concemlng the depar1ment, Including research interests of the faculty, may be obtained upon re• quest. The closing date for receipt of applications IsOctober 1, 1991.

CARLETON UNIVERSITY Ottawa, Canada The Department of Mathematics and Statistics in• vites applicallons for a tenure-track position (sub• ject to budgetary approval), at a rank commensu• ratewiththe applicant's qualifications, to commence July 1, 1992. Applications are invitedfromoulstand• ing candidates, both female and male, whose re• search interests are In the area of modem applied mathematics, namely: comblnatorlcs, optimization, and operations research. The successful candidate will be expected to be active in research, supervise graduate students, and support the department's tradition of excellence in teaching. In accordance with Canadian immigration requirements, this ad• vertisement is directedfirst to canadian citizensand permanent residents. Applications includingcurric• ula vitae sh.ould be addressedto: Dr. John D. Dixon,Chairman Department of Mathematics and Statistics Carleton University Ollawa, Ontario, Canada K1 S 5B6 Candidates should also arrange for three Iellers of reference to be sent to the same address. Informa• tion concemlng the department, inciuding research interests of the faculty, may be obtained upon re• quest. The closing date for receipt of applications IsJanuary 7, 1992.

EAST TEXAS BAPTIST UNIVERSITY Tenure-track position in mathematics starting in summeror fall of 1992. PhD (or near PhD)in math• Then consider joining a highly talented group of Statistics, Combinatorics andmore. And they function asa ematics or mathematics education desired. Strong mathematidans whose job itis todeduce structure where truecommunity, exchanging ideas andworking withsome of commitment to undergraduate teaching is manda• structure is notapparent, tofind patterns in seemingly thefinest minds-and most powerful axJlIXIlfrS-in thecountry. tory. ETBU is a small, four-year, liberal arts college random sets, tocreate order outofchaos. If you love problem-solving andlike theidea thatthose locatedIn the rolHng hills and piney woods of east These arethemathematicians oftheNational Security solutions will beapplied toreal world problems, look into a Texas, 35 miles west of Shreveportand 150 miles Agency. They contribute to thesolution ofcryptologic career withNSA. Send your resume to National east of Dallas. Send resumeby February 1, 1992 problems using Number Theory, Group Theory, Finite Field theaddress below orcontact your Serurity to: Rudedge McClaran, Chair, Search Commillee, Theory, Linear Algebra, Probability Theory, Mathematical campus placement office. Agency ETBU, Marshall, TX 75670-1498; (903) 935-7963, Attn, M322 (ADS). Ft._ Marybnd 2OJSS~ TheOpportunities ofa Lifetime ext. 349. EOElAA. Ane

FOCUS SEPTEMBER 1991 The Mathematical Association of America Second dass postage paid 1529 Eighteenth Street Northwest at Washington, DC and Washington, DC 20036-1385 additional mailing offices.