THE NEWSLETIER OF THE MATHEMATICAL ASSOCIATION OF AMERICA

April 1998 Volume 18, Number 4 , In This Issue contributed papers S Minicourses

6 Social Events SpecialSes."'l ~/Of/S 7 Call for Student Papers Invited Addresses 8 Housing Form

9 Program at a Glance "If/vesting for Retlrem 10 Registration Information

The Mathematical Association of America 1529 Eighteenth St., NW Washington, DC 20036 FOCUS FOCUS is published by the Mathematical Association of America in January, February, March, April, May/June, August/September, October, November, and December. MATHEMATICS Editor: Harry Waldman, MAA; 1 [email protected] ORIGINAL Managing Editor: Carol Baxter, MAA Advertising Coordinator: Joseph AWARENESS~ Watson, MAA; [email protected] President: Gerald L.Alexanderson, Santa Clara University First Vice-President: Anita Solow, DePauw University WEEK8 Second Vice-President: Ed Dubinsky, Georgia State University WAVELET 100:1 compression April 26-May 2 Secretary: Martha Siegel, Towson Preserves all bUI fine structure University Treasurer: Gerald J. Porter, University of Pennsylvania Executive Director: Marcia P. Sward Associate Executive Director and Ma t!lematics Directorof Publicationsand Electronic Services: Donald J. Albers Letters to the editor should be addressed &'Imaging to Harry Waldman, MAA, 1529 WAVELETPACKET BASIS ]0:1 compression Eighteenth Street, NW, Washington, DC Preserves [me structure of hri~lles 20036. Subscription and membership questions should be directed to the MAA Customer Service Center, 800-331-1622; e-mail: [email protected]; (301) 617-7800 (outside U.S. and Canada); fax: (301) 206• 9789. FOCUS is a benefit of MAA membership. The subscription price to individual members is $6.00, which is included in the annual dues. RESIDUAL Copyright © 1998 by the Mathematical Association of America (Incorporated). Sponsored by the Educational institutions may reproduce articles for their own use, but not for sale, • Joint Policy Board for Mathematics: provided that the following citation is American Mathematical Society used: "Reprinted with permission of Mathematical Association ofAmerica FOCUS, the newsletter of the Society for Industrial and Applied Mathematics Mathematical Association of America he o~iginal image is the sum ~f the three. Each pulls Tout differml fpal~ of me oo81nal. We (an thinkof the (Incorporated)... image as being synthesized by three different instruments, • Informs in it way similar 10 it musical orchestration where the Periodicals postage paid at Washington, final sound is the sum of the notes from each instrument. This mathematical transcription is useful for it more DC and additional mailing offices. efficient and accurate storage and processing of imaging http://forum.swarthmore.edu/maw/ data, but also provides tools for denoising and idennfvmg Postmaster: Send address changes to the structure in images. For example. it (an sharpen detail in medic a1 images, such as MRI. and be used to idenlify Images provided by Ronald Coifman. Yale University MAA, P.O. Box 90973, Washington, DC particular objects for diagnostic purposes. • 20090-0973. - ISSN: 0731-2040; Printed in the United States of America. Mathfest Goes International! What's new in collegiate mathematics? Find out when you join colleagues in Toronto at Mathfest 98, July 15-18! You won't want to miss the Hedrick Lecture Series: GeometricVariational Problems, three lectures by Jean Taylor or Donald Saari speak on The Mathematics of Voting: What Causes Lousy Election Outcomes?; everyone will enjoy Joseph Gallian talk on Breaking Drivers' License Codesand Ross Honsberger on Some Mathematical Morsels.

Looking for other activities? How about the contributed paper session on Multi• media and Mathematics Education, or the minicourse on Cooperative Learning in Undergraduate Mathematics Education, or the special session on GreatTheorems of Mathematics, or a workshop on Integrating Active Learning Techniques into Lectures or...dozens of other mathematical sessions, social events, and the charms of Canada in the summer.

Come to the meeting early and attend the Short Course on Mathematics and Magic by Brent Morrisand Arthur Benjamin. This is a meeting you want to attend in a place you want to visit. DON'T MISS IT! Review the descriptions of lectures, sessions, re&!.·~tei,\...... andotherevents oilline a WWWmaa. , on the inside pages. How to Register instructions andforms included. Mathfest 98 information mayalso be accessed via MAA Online at www.maa.org.

MATHFEST 98 DEADLINES

Early Bird Registration May 29 On-Campus Hotel Reservations June 1 Dormitory Housing Reservations June 1 Delta Chelsea Inn Reservations June 11 Regular Registration June 29 Short Course Registration June 29

Minicourse Registration June 29 Invited Special Sessions feature presentations or panel discussions. The speakers Addresses are invited bythe organizers and selected because of HEDRICK LECTURE SERIES their knowledge and accomplishments in the focal Jean Taylor Rutgers University area ofthe session. Geometric Variational Problems Lecture 1: Soap Films Models of Mathematical Sciences Concurrent Models: Thursday, 9:30 am-I 0:20 am and their Applications throughout Teaching Mathematics while Lecture 2: Crystals the Curriculum Developing Teaching Skills Friday, 9:30 am-l0:20 am Lee Zia University of New Hampshire Morris Orzech Queens University Lecture 3: Ice Cubes versus Snow Flakes Frank Giordano COMAP Eric Muller BrockUniversity Saturday, 9:30 am-l0:20 am This is Part 2 of a session (Part' will be David Poole TrentUniversity presented at the SIAM meeting); the In this CMS-Fields-MAA panel, the pre• . ------. -- -- senters will discuss some models for AWM-MAA INVITED ADDRESS two parts are related but not codepen• Margaret H. Wright Bell Laboratories, LucentTechnologies dent. In this session, presenters will re• addressing the initial and ongoing The Interior-Point Revolution in port on innovative models that illustrate development of teaching skills at vari• Constrained Optimization the infusion of the mathematical sci• ous levels, in the context of activity Thursday, 3:05 pm-3:55 pm ences and their applications throughout whose primary focus is mathematics. Thursday, 3:55 pm-5:45 pm a course and/or curriculum. Special --CMS-FIELDS-MAA- - - -INVITED- --ADDRESS- - - attention will be paid to working with Leon GlassMcGill University Assessment Alternatives colleagues from non-mathematical sci• Mathematics Education for the Life Sciences Janet C. Woodland University of Arkansas ence disciplines during the conceptual• Thursday, 8:30 am-9:20 am Heather Hulett MiamiUniversity (Ohio) ization, development, and implementa• How can we create and evaluate a vari• tion stages of a project. Sustainability --MAA STUDENT- - -LECTURE-- - -- . - ety of assignments to encourage and Ross A. Honsberger University of Waterloo issues will be discussed. Speakers measure student learning, beyond the Some Mathematical Morsels include Michael Moody, Harvey Mudd traditional homework problem sets Saturday, 3:05 pm-3:55 pm College; Dan Schwalbe, Macalester and quizzes? Examples of some such College; Daniel P. Maki, Indiana Univer• assignments include: presentations, re• --NAM-MAA- -INVITED----ADDRESS- - - - sity; and Kurt Bryan, Rose-Hulman writing textbook selections, peer review Nathaniel Dean RiceUniversity Institute of Technology. of writing assignments, projects, and Network Visualization Thursday, , :00 pm-2:50 pm course portfolios. Invited panelists will Friday, 8:30 am-9:20 am provide detailed examples of such assignments and how to grade them; -PI MU- EPSILON------Teaching Collaborations between this will be followed by a breakout and J. SUTHERLAND FRAME LECTURE 2-year and 4-year Colleges discussion session where participants Joseph A. Gallian University of Minnesota, Duluth Bonnie Gold Wabash College can exchange ideas. Breaking Drivers' License Codes Sheldon P. Gordon SUNY Farmingdale Thursday, 3:55 pm-5:45 pm Friday, 8:00 pm-9:00 pm Teaching collaborations between two• and four-year colleges can have benefits The Mathematics Education of -Dorothy- --Buer!< IthacaCollege- -. --- -- for both schools. These benefits include Teachers Project What We Say, What Students Hear: facilitating student transitions between Marjorie Enneking Portland StateUniversity A Case for Active Listening two-year colleges and the four-year Thursday, , 0:30 arn-l :20 am The Mathematics Education of Teachers schools at which they finish their under• Project, funded by the US Department graduate degrees, and contributing to of Education, is a joint effort of the math• --Henry O.. Pollak- ---ColumbiaUniversity- -- -- faculty development at both schools. ematical sciences professional societies. Stability and Sensitivity in High School and The panelists, including Jacqueline College Mathematics The project will set guidelines for the Friday, , 0:30 am-l :20 am Giles, Houston Community College; initial mathematics preparation and con• Central College; Doris Schattschneider, tinuing mathematical development of - - Moravian College; and Karen Sharp, teachers P-12 and encourage support• Liliane------Beaulieu Universite de Montreal - Bourbaki Choices Mott Community College, will discuss ing activities to foster the implementa• tion of these recommendations. After a Friday, 3:05 pm-3:50 pm collaborations of this sort in which they have been involved: how they came description of progress to date, there - - . - --- . -- will be an open forum to gather sugges• Andrew Odlyzko AT&TLabs - - about, what the collaboration involved, tions and reactions to be used by the Primes and Zeros of the Zeta Function: what the resultswere, and what pointers project steering committee and writing Conjectures and Computations they have for making such collabora• team. Sponsored by Committee on the Saturday, 8:30 am-9:20 am tions work. This panel is sponsored by Mathematical Education of Teachers the Committee on the Teaching of (COMEn, the panelists will include W. -Donald------G. Saari NorthwesternUniversity. - - - Undergraduate Mathematics (CTUM) James Lewis, University of Nebraska, The Mathematics of Voting: and Committee on Two Year Colleges Mary M. Lindquist, Columbia State What Causes Lousy Election Outcomes? (CTYC). University, and Gail F. Burrill, NCTM. Saturday, , 0:30 arn-t :20 am Thursday, 1:00 pm-2:50 pm Friday, 1:00 pm-2:50 pm Integrating Active Learning Mathematical Software in Education Mathematical Modeling Using Techniques into Lectures Robert M. Corless Universityof Western Ontario Pre-calculus Mathematics Sandra L. Rhoades KeeneStateCollege William F. Langford Fields Institute Cathy Murphy PurdueUniversity(Calumet) This participatory workshop is for facul• The purpose of this CMS-Fields-MAA Philip Quartararo, Jr. Southern University ty who are interested in learning about session is to give a timely update, both Panelists, including Daniel Maki, and discussing ways to incorporate "from the trenches" and from the view• Indiana University, and Diana Fisher, active learning techniques into lectures. point of software developers, of the Franklin High School (Portland, OR), will For some people, this may be a begin• impact of mathematical software on discuss: what they mean by modeling, ning step toward moving away from mathematics education. Of particular their experiences with modeling and lectures; for others, it is simply a way to interest are the effects of mathematical with teaching modeling, why they increase the effectiveness of their lec• software on the content of the curricu• believe modeling is important for tures. A wide variety of techniques that lum, and on the potential for improve• school teachers to know, how and in require minimal in-class time will be ment in learning. The speakers will what courses they believe modeling presented and discussed. Workshop include Robert M. Corless, University of should be introduced for preservice participants will be actively involved • Western Ontario ("What We Can Do teachers, and how and in what courses little to no lecturing will occur during Affects What We Should Teach"), Pal they believe modeling should be intro• the workshop. Fischer, University of Guelph ("Maple duced for school level students. Friday, 1:00 pm -2:50 pm in the Classroom"), Robert J. Lopez, Saturday, 4:10 pm-6:00 pm Rose-Hulman Institute of Technology Strengthening Under-represented ("Maple, Laptop Computers, and the She Does Math: Exemplary Women Minority Mathematics Achievement Twenty-first Century"), and Lawrence F. in Mathematics-Related Careers (SUMMA) Programs Shampine, Southern Methodist Univer• Carolyn Connell Westminster College of Salt Lake City William A. HawkinsDirector of SUMMA sity ("ODE Architect"). Kathleen Sullivan Seattle University • Presentations on summer mathematics Saturday, 1:00 pm-2:50 pm Virginia Knight Meredith College programs for pre-college minority stu• Women from a variety of professions dents will be given by project directors Great Theorems of Mathematics requiring mathematics and outside Kenneth Bernard, Niagara University, Douglas Ensley ShippensburgUniversity academia will speak about their work, and Eric Muller, Brock University. Jack Cheryl Olsen ShippensburgUniversity their educational backgrounds, and Narayan, SUNY Oswego, and Florence This session will consist of four talks their career paths. Marla Parker, Sun Fasanelli, director of SUMMA Interven• which address the proof of an important Microsystems, and editor of "She Does tion Programs, will describe the new theorem in mathematics. The theorems Math," will be a member of the panel. SUMMA Leadership Program which will be taken from a variety of mathe• She will be joined by other women assists mathematics departments in ini• maticaldisciplines. Each talk will present represented in her book who have tiating programs for college and pre• a proof at a level that is accessible to a mathematics-related careers in busi• college minority students. general mathematical audience. This ness and industry. Sponsored by the Friday, 4:10 pm-6:00 pm session is intended to expose the audi• Committee on the Participation of ence to proofs of theorems that every Women (CPW). Strategies to Solve Potential mathematician should know. Saturday, 4:10 pm-6:00 pm Classroom or Professional Challenges Saturday, 4:10 pm-6:00 pm K. Renee Fister Murray State University Jennifer Beineke Trinity College Lisa Lister Bloomsburg University What would you do if a student or col• league accused you of harassment? Suppose you are in charge of a group and the group is discriminating against one of the members. How would you handle the situation? In this workshop, several such scenarios that could arise in the classroom or workplace will be Investing tlrement investigated. Participants will be divid• Semin 1 . ed into groups and given sample prob• lem situations. The groups discuss the Conducted by a lanner, seminar presents financial invest- situations and develop ideas for solu• fi ment strategies .... • ment.~s ofdisCUssion include sciings strategies, fight- tions, and provide a synopsis of a solu• ,.... "', .. ..'. .4.; tion to all participants. Then members ing inflation's e~now and in the~t(Jre, ways to approa estate planning and of the panel will give suggestionsbased protecting assetsJrQm inheritanee.r'I4'~~l<.tr.t. on their experience and expertise. Friday, 4:10 pm-6:00 pm Thursday, 3:55 PliJl-5:45 pm ~''th' 3 ?: ~ MAA Contributed Paper Sessions ~ are organized around a pre-determined topic. ~ Presentersare selected bythe paper organizers ~ after reviewing responses to a call for papers. ~ ------.. ., ------The Use of Technology in the Innovative Ideas for Multimedia and • Teaching of Applications in Student-Collected Data Mathematics Education Undergraduate Mathematics Cathy A. Godbois Professor Ronald Sklar 51 Johns Umversrty Harnsburq Area Community College Howard Lewis Penn us Naval Academy Richard 0'Lander 51 Johns University Sheldon P. Gordon SUNY at Farmingdale Elizabeth Teles National SCience Foundation Tingxiu Wang Oakton Community College The use of computer programs and cal• The use of real world data collected Advances in multimedia have created a culators have made it much easier to from experiments or from student new means of applying technology to study real world applications in courses research to motivate the teaching and mathematics education. This includes ranging from precalculus through se• learning of mathematics, is one of the such things as interactive video, CD• nior level mathematics courses. In this strong threads that runs through much ROM technology, hypermedia, hyper• • session, papers will highlight how the of the mathematics reform movement. text, expert systems, teleconferencing innovative use of technology can be In this session, papers will describe and virtual reality. Technology is chang• used to aid in the teaching of applica• experiences using real world data that ing the way in which mathematics is tions. Papers may cover applications to motivate both the mathematical devel• being taught. Programs have been any subject as well as any level mathe• opment of, and students' appreciation developed which integrate this technol• matics course. for, the utility of mathematics at any ogy into the mathematics curriculum. Part 1: Thursday, 1:00 pm-2:50 pm level of the curriculum. Papers in this session will discuss appli• Part 2: Friday, 4:10 pm-6:00 pm Part 1: Thursday, 3:55 pm-5:45 pm cations of multimedia to mathematics Part 2: Saturday, 1:00 pm-2:50 pm instruction, as well as the success and Mentoring Mathematics Students failure of such projects. Mathematics Across the Disciplines Jean Bee Chan Sonoma State University Part 1: Friday, 1:00 pm-2:50 pm Why should students choose to major Duff Campbell us Military Academy Part 2: Saturday, 1:00 pm-2:50 pm in mathematics? Why should mathe• Jim Rolf us Military Academy matics majors persist and ultimately There is interest in efforts to move math• Interactive and Dynamic Visualization succeed as mathematicians? Will they ematics acrossthe curriculum. Papersin for Precalculus and Calculus this session will describe interdiscipli• stumble on the first "proof" course? Martin Flashman Humboldt State University How can faculty guide mathematics nary activities that integrate mathemat• Many new applications of technology majors to reach their maximum poten• ics with one or more partner disciplines. allow interactive and dynamic visualiza• tial? Those having had positive experi• Examples may include one activity, one tion that enhance student understand• ences attracting students to study class, one project, one section, one ing of concepts in both calculus and mathematics will present their ideas on course, or an entire curriculum, with precalculus courses. Presentations at how to motivate students to persevere emphasis on illustrations of specific this session will discuss and illustrate and succeed in mathematics. activities which are transportable. This some of the most recent of these appli• Part 1: Thursday, 1:00 pm-2:50 pm session is part of the activities of cations such as those using real data Part 2: Friday, 1:00 pm-2:50 pm the CUPM subcommittee to promote collection techniques with calculators, and disseminate efforts on moving animations, and dynamic software such "Mathematics Acrossthe Disciplines." as Geometer's Sketchpad and Cabri. Part 1: Thursday, 3:55 pm-5:45 pm Friday, 4:10 pm-6:00 pm Part 2: Saturday, 4:10 pm-6:00 pm

/

reg\~ter'\,~;;on\mea . ~maa.l) ..

4 Minicourses offerfour hours offocused instruction.Enrollment is limited and a separate registration fee isrequired. Refer to the Registration Information and the Registration Form for details.

Developingo Materials for Liberal Fuzzy Neighborhoods and Arts Mathematics That the Fuzzy Unit Interval Use Elementary Graph Theory Joseph M. Barone BFRInc and Emphasize Applications This course will introduce the subject of EXHIBIT HALL HOURS to Everyday Experience fuzzy topology by exploring two sub• Helen Christensen LoyolaCollege m Maryland jects which emphasize its role as a gen• Content, techniques, and illustrative eralization of ordinary (point-set) topol• Thursday, Friday problems will be presented, suitable ogy: fuzzy neighborhoods and the for enabling participants to develop fuzzy unit interval. For each topic, the &Saturday materials for a liberal arts mathematics course will focus on the relationship course appropriate to their student between the fuzzyconcept and its ordi• 9:00 am to 5:00 pm population, using a limited amount of nary counterpart. No special back• theory, and emphasizing day-to-day ground in topology will be assumed, applications to which students can but some familiarity with set theory and Located in the readily relate. Included, for each type real analysis will be useful. No text will of problem considered, will be a syn• be used; materials and in-class exercis• North Hub of Ryerson opsis of relevant theory, demonstration es will be distributed at the course. problems with solutions, and partici• Part A: Friday, 1:00 pm-2:50 pm Polytechnic University pant team solutions of similar prob• Part B: Saturday, 1:00 pm-2:50 pm lems. Part A: Thursday, 1:00 pm-2:50 pm Shop for new publications and products Part B: Friday, 1:00 pm-2:50 pm and revisit old favorites at the Mathfest 98

Exhibit Hall. This is your opportunity to

review the latest books, play with innova• Cooperative Learning in Ao Hands-On Approach to Geometry trive calculators and preview software. Undergraduate Mathematics Colm Mulcahy SpelmanCollege Education Too often, geometry is presented Meet company representatives and re• Barbara Reynolds CardrnalStrrtch Unrversrty in an axiomatic way, divorced from ceive feedback that will assist you in mak• William E. Fenton Bella-mine College reality and real world experiences. Participants will be introduced to coop• Natural curiosity about practical con• ing purchase decisions. erative learning in undergraduate math• siderations (e.g., symmetry, locations, ematics courses at all levels. distances, areas and navigation) can Participants will engage in various be turned into a genuine desire to In the Exhibit Hall, you'll find the popular cooperative learning experiences, work learn mathematics when a hands-on, in several different small groups and discovery-based approach is taken. In MAA Bookstore. There you can select reflect on ways of forming groups in this minicourse, participants will be led their own classrooms, discuss issues on a guided tour of discovery that from MAA's extensive collection of books related to assessment and grading, and goes beyond traditional planar geom• on mathematics, mathematics education, talk about potential problems and ways etry: spherical, hyperbolic and projec• of avoiding or overcoming such prob• tive geometry will all be explored and related topics. Schedule time to lems. No prior experience with cooper• interactively, in a cooperative group• ative learning is expected. Some read• learning environment. browse through the new titles premiering ings will be distributed during the Part A: Friday, 4:10 pm-6:00 pm at Mathfest 98. Purchase books at the course. Part B: Saturday, 1:00 pm-2:50 pm Part A: Thursday, 1:00 pm-2:50 pm meeting and you'll save money with a spe• Part B: Friday, 4:10 pm-6:00 pm cial discount! 5 ?: e. The2-Day Short Course ~ precedes Mathfest 98 and requires a separate registrationfee. For details, referto ~ the Registration Form or the ShortCourse section at MAA Online, www.maa.org.

~ Calculated Deceptions: Mathematics and Magic

00 Arthur Benjamin HarveyMudd College S. Brent Morris National SecurityAgency • This course will teach participants mathematically based magic tricks that may be used to motivate mathematical discussions. Taught by professional "mathemagicians," the course will cover a wide range of subjects including: Secrets of Lightning Calculators, Calendar Calculating, Magic Squarest Card Tricks, Card Shuffling, and Fibonacci Numbers. Each trick will be explained, along with its underlying mathematics, ranging from high school math to group theory, probability, and topology. Interested participants will also be given the chance to present their favorite tricks to the group, with the expectation that every• one will leave the course with an actual "bag of tricks" to use in the classroom. Special guest appearances by other magician mathematicians are anticipated.

Tuesday, July 14 and Wednesday, July 15/ 8:30 am-5:00 pm • ------~ ------~ ~ Social Events MATHFEST 98 ~ Meet and share.ideas with your peers at SIAM BBQ Party DEADLINES U1 a vanety of social events being held at On Thursday, July 16th, SIAM invites , Mathfest 98. You can reserve your tick- Mathfest 98 attendees to a Canadian ~ ets ?y ordering through advanced regis- Style BBQ at the SIAM Annual Meeting. Early Bird Registration 00 tration (see Registration Form). Banquet The BBQ will be held at the Universityof events will offer vegetanan meals If Toronto. Reservations are required and May 29 requeste~ on the reglstr~tlon. form. admission is by ticket only. Contact ~ancellatlons must be re~elved In wnt- SIAM for ticket price and registration • Ing by June 2~ for a 50)6 refund. No information at www.siam.org/meet- On-Campus Hotel Reservations refunds are available after this date. ingslan98/reginfo.htm. June 1 "Mystic Festival" Kickoff Mathfest 98 with food and MAA 25·Year Member Banquet • magic! Enjoy a full-course meal with old with Peter Rosenthal speaking on Dormitory Housing Reservations friends and new colleagues. Brent "Why I'd Rather be a Mathematician Morris and Arthur Benjamin will enter• June 1 than a Lawyer" tain you with a mathematical bag of Rosenthal IS a University of TorontoProfessor of Mathematics tricks. The Mystic Festivaltakes place in and a Barrister With Roach, Schwartz & Associates • the Courtyard of Pitman Hall at Ryerson Moderated by Delta Chelsea Inn Reservations Polytechnic University. Participants and Doris SchattschneiderMoravian College guests are welcome to attend on Saturday, 6:30 pm-9:00 pm June 11 Wednesday from 7:00 pm to 10:00 pm. The 21st annual banquet honors those Tickets are $27. • individuals who have been members of Regular Registration PME Banquet the MAA for 25 yearsor more. There will be a reception prior to the banquet in Thisannual event will be held on July 17. June 29 the Mountbatten Ballroom at the Delta Tickets are $12 and $20. After the ban• Chelsea Inn. Tickets are $35. quet/ attend the popular PME J. • Sutherland Frame lecture, given this Short Course Registration year by Joseph A. Gallian of the AWM Reception Plan to attend this cooperative party University of Minnesota, Duluth on June 29 with the Association for Women in "Breaking Drivers' License Codes." Mathematics on Thursdayat 9:00 pm, in • the Oakham House at Ryerson! All sup• Minicourse Registration porters of women in mathematics are encouraged to attend and to meet June 29 6 AWM members. StudentActivities

Students and faculty will be interested in presentations of student work in ses• sions sponsored by the MAA and PME, and in the Invited Lectures developed with students in mind. Starting with a student reception on Wednesday night, Mathfest 98 includes a rich array of activities for students. At the Student Hospitality Center - open Thursday through Saturday - students and other Mathfest attendees can meet for informal conversation, refreshments, and math• ematical diversions. The Hospitality Center also provides programs for the stu• dent paper sessions, packets for students presenters, and information on Mathfest activities of interest to students. Special information for students can be found on MAA Online at www.maa.org.

MAAlPi Mu Epsilon Student Reception Wednesday, 5:30 pm-6:30 pm

MAA and Pi Mu Epsilon Student Paper Sessions Thursday, 1:00 pm-5:00 pm Friday, 1:00 pm-5:00 pm

Pi Mu Epsilon Banquet Friday, 6:15 pm-7:45 pm See the Mathfest Registration Form for ticket information.

PI MU EPSILON J. SUTHERLAND FRAME LECTURE Joseph A. Gallian University of Minnesota, Duluth To propose a paper for presentation, students Breaking Driver's License Codes Friday, 8:00 pm-9:00 pm must complete a form and obtain the signa• ture of a faculty sponsor. Nomination forms MAA STUDENTWORKSHOP Mathematics in Stone and Bronze: are located on MAA Online at www.maa.org Mathematical Problems Associated with Doing Mathematical Sculpture Helaman Ferguson under STUDENTS, or can be obtained This workshop will consist of two parts. The first part will be an interactive lecture with from Dr. Charles Diminnie via email at slides and video, giving general background and descriptions of various sculptures. Mathematical problems originating in the sculptural process - which can be quali• charles.diminnieOangelo.edu or by phone tative or quantitative - will be set up. The second part will be even more interac• at (915) 942-2317, ext. 238. Deadline for tive: some of the problems raised will be solved, old solutions will be discussed,new solutions entertained, and perhaps some problems will be solved for the first time! receipt of papers is June 12, 1998. Saturday, 1:00 pm-2:50 pm

MAA STUDENT LECTURE Ross A. Honsberger University of Waterloo Some Mathematical Morsels Saturday, 3:05 pm-3:55 pm

STUDENT PROBLEM SOLVING COMPETITION Richard Neal University of Oklahoma Saturday, 4:10 pm-5:00 pm This is the finals for The Problem Solving Competition. Universities and colleges that participate monthly on their own campuses by holding problem solving con• tests are invited to send two contestants. Each contes• tant will be required to solve a series of mathematics problems. Based upon the outcome, national champion and national runner-up will be named.

7 ALL PRICES QUOTED IN CANADIAN DOLLARS

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• Visa, MasterCard, Discover, Novus and travellers cheques accepted. • Personal checks are notaccepted. • Advanced payment must be received to guarantee room reservations. • Cash isaccepted atthecheck-in desk. Donot send cash via mail. • Confirmations will besent by mail, if reservation ismade in atimely manner. • Fax confirmations available upon request. D Check here if a fax confirmation isdesired. • Cancellation must be received at least 24hours priorto check-in to avoid room charges for the period of your reservations.

FAX (CREDIT CARD ORDERS ONLY) OR MAIL HOUSING FORM TO: Conference Services Ryerson Polytechnic University 160Mutual Street Toronto, Ontario M5B 2M2 Canada FAX: (416) 979-5212 8 Program-at-a-Glance INVITED SPECIAL STUDENT CONTRIBUTED GENERAL ADDRESSES SESSIONS MINICOURSES ACTIVITIES PAPER SESSIONS ACTIVITIES

MAA·Pi Mu Epsilon Board ofGovernors 7/15 Student Reception Meeting 5:30 pm-6:30 pm 8:00 am-5:oo pm W [ Registration D 12:00 am-7:oo pm N [ Mystic Festival S 7:00 pm-l0:oo pm D A y

CM5-Fields-MAA Lecture Models of Mathematical Developing Materials for Student Hospitality Center The Use of Technol~ in Registration Mathematics Education Sciences andTheir Liberal ArtsMathematics 9:00 am-5:oo pm theTeaching ofApp IcatiOns 8:00 am-4:oo pm forthe Life Sciences ~plication Throughout That Use Elementary inUndergraCluate Leon Glass the Curriculum Mathematics, Part1 Graph Theory and MAA & PME Student Howard Lewis Penn, PME Council Meeting 8:30 am-9:20 am Lee Zia, Frank Giordano 9:00 am-12:oo pm 1:00 pm-2:50 pm Emphasize Applications Paper Sessions Elizabeth Teles 7/16 Hedrick Lecture 1: to Everyday Experience, 1:00 pm-5:oo pm 1:00 pm-2:50 pm Teaching Collaborations Exhibit Hall Soap Films PartA Mentorin,\»Mathematics T Jean Taylor Between 2·year and4-Year Helen Christensen 9:00 am-5:oo pm Colleges Students, art 1 H 9:30 am-l0:20 am 1:00 pm-2:50 pm Jean Bee Chan U Bonnie Gold, Sheldon P. Gordon Investing for What We Say, What 1:00 pm-2:S0 pm 1:00 pm-2:50 pm R Cooperative Learning Retirement Students Hear: ACase Concurrent Models: Innovative Ideas for S forActive Listening inUndergraduate Student-Collected Data, Seminar Teaching Mathematics While Part1 3:55 pm-5:45 pm D Dorothy Buerk Devel08ing Teachin~ Skills Mathematics Education, A 10:30 am-l l:20 am Morris rzech, Eric uller, PartA Catha A. Godbois, y Barbara Reynolds Shel on P. Gordon AWM Reception David Poole 3:SS pm-5:45 pm AWM·MAA Lecture 3:55 pm-S:4S pm William E. Fenton 9:00pm The Interior·Point 1:00 pm-2:50 pm Mathematics Across the Revolution inConstrained Assessment Alternatives Disci~lines~art 1 Optimization Janet C. Woodland, Duff amp II, Ma~aret H. Wright Heather Hulett Jim Rolf 3:0 pm-3:55 pm 3:55 pm-5:45 pm 3:55 pm-5:45 pm NAM·MAA Lecture The Mathematics Education Developing Materials for Student Hospitality Center Mentorin~ Mathematics Registration Network Visualization ofTeacher Project Liberal Arts Mathematics 9:00 am-5:oo pm Student, art 2 8:00 am-4:oo pm Nathaniel Dean Marjorie Enneking That Use Elementary Jean Bee Chan Graph Theo!y and 1:00 pm-2:50 pm 8:30 am-9:20 am 1:00 pm-2:50 pm Em~haslze ~cations MAA & PME Student Exhibit Hall to veryday rience, Paper Sessions Multimedia & Mathematics 9:00 am-5:oo pm Hendrick Lecture 2:Crystals Integrating Active Learning Part B 1:00 pm-5:oo pm Education Part 1 Jean Taylor Techniques into Lectures Helen Christensen Ronald Sk(ar, 7/17 9:30 am-l 0:20 am L. MAA Award Session Sandra Rhoades 1:00 pm-2:50 pm PME Banquet Richard Olander, 11 :30 am-12:oo noon F 1:00 pm-2:50 pm FU~ Nei'll'borhoods and Ti30xiu Wan8 Stability andSensitivity in 6:00 pm-7:45 pm 1: pm-2:5 pm R High School andCollege SUMMA Programs the uzzy nitInterval, I Part A Technol~ Mathematics William A. Hawkins Joseph M. Barone The Use of in D 4:10 pm-6:oo pm Pi Mu Epsilon J. Sutherland theTeaching ofApp lcations Henry O. Pollak 1:00 pm-2:50 pm inUndergraCluate A 10:30 arn-l l:20 am Strategies to Solve Potential Cooperative Learning in Frame Lecture: Mathematics, Part 2 Y Breaking Drivers' Bourbaki Choices Classroom or Professional Und:llraduate MatHematics Howard Lewis Penn Educa ion,Part A License Codes Elizabeth Teles Liliane Beaulieu Challenges Barbara Rerolds K. Renee Fister, Jennifer Joseph A.Gallian 4:10 pm-6:oo pm 3:05 pm-3:50 pm William E. enton 8:00 pm-9:oo pm Beineke, Lisa Lister 4:10 pm-6:oo pm Interactive and ~amic 4:10 pm-6:oo pm AHands-on Approach to Visualization for recalculus Geomet:rc- Part A andCalculus Colm Mucahy Martin Flashman 4:10 pm-6:oo pm 4:10 pm-6:oo pm Primes andZeros Mathematical Software Fuzzy Neighborhoods and Student Hospitality Center Innovative Ideas for Registration ofthe ZetaFunction: inEducation the Fuzzy Unit Interval, 9:00 am-5:oo pm Student-Collected Data, 8:00 am-4:oo pm Conjectures and Robert M. Corless, Part2 Computation William F. Langford PartB Workshop: CathJ A.Godbois, Andrew Odlyzko 1:00 pm-2:50 pm Joseph M. Barone Shel on P. Gordon Exhibit Hall 1:00 pm-2:50 pm Mathematics inStone 9:00 am-5:oo pm 8:30 am-9:20 am Great Theorems of 1:00 pm-2:50 pm Mathematics and Bronze: Mathematical 7/18 Hedrick Lecture 3: Douglas Ensley, AHands-on Approach to Problems Associated with Multimedia & Mathematics MAA Business Meeting Ice Cubes vs. Snow Flakes Cheryl Olsen Geometry, PartB Doing Mathematical Education Part 2 11 :30 am-12:oo noon S Jean Taylor 4:10 pm-6:oo pm Colm Mulcahy Sculpture Ronald Sk(ar, A 9:30 am-l 0:20 am Mathematical Modeling 1:00 pm-2:50 pm Helaman Ferguson Richard O'Lander, MAA25·Year T Usin~ 1:00 pm-2:50 pm Ti30xiu Wan8 Member Banquet U Pre-calculus 1: pm-2:5 pm The Mathematics ofVoting; Mat ematics 6:30 pm-9:oo pm R Cathy Murphy, MAA Student Lecture: What Causes Lousy Election Phillip Quartararo, Jr. Mathematics Across the D Outcomes? 4:10 pm-6:oo pm Some Mathematical Disci~nes~art 2 A Donald G. Saari Morsels Duff mp II, Y 10:30 am-l l:20 am SheDoes Math: Ross A. Honsberger Jim Rolf Exem~ary Women 4:10 pm-6:oo pm inMa ematics- 3:05 pm-3:55 pm Related Careers Virginia Knight Student Problem Solving Carolyn Conne1I, Competition Kathleen Sullivan Richard Neal 4:10 pm-6:oo pm 4:10 pm-5:oo pm 9 ~ Registration Information .. . Ryerson Polytechnic University, Mathfest headquarters, IS located In downtown Toronto, a City with approximately 3.5million residents... The average July temperature is 720 F/22. 10 C. The weather can vary from pleasantly warm to summery hotand humid with the possibility ~ ofsudden thunderstorms. ~ How to Register for Refund Policy: Cancellations must be re• regular transit buses to the subway, and ,...,. Mathfest 98 ceivedin writing by June 29 for a 50% feeder (shuttle) buses go to downtown refund on registration and event tickets. hotels. One-way taxi fares are $35-$45CAN. The Windsor Company, lnc., the official man- Send requests to The Windsor Company. Feeder buses to downtown leave every ~ agement firm for Mathfest 98, will coordi- 20 minutes. One-way fare: $12.50CAN. nate arrangements and registration. (Note: 00 Also, you may take a regular transit bus, "The Windsor Company" will appear on Mathfest Housing ($6.7S-$8.ooCAN) to the subway. The sub• your credit card statement.) Rooms are reserved at the Delta Chelsea • way ($2CAN one-way) goes to both Ryerson Inn, and two facilities at Ryerson: Inter• Early Bird Registration: Register by May 29 and the Delta Chelsea. For more information, b3 national Conference Center (l.CC) and to take advantage of the early bird savings call TourismToronto at (800)363-1990 or visit ~ and receive your registration packet before Pitman Hall. You must contact these facilities directly for reservations. Prices their web site at www.tourism-toronto.com. Q the meeting. Registration packets will be ~ mailed on June 19 and there will be no need are quoted in Canadian dollars and are subject to taxes. (SeeCurrency Ex• Meal Information: You may dine at Ryer• ~ to register once you arrive. change/Goods and ServicesTax(GSn son's two dining facilities in Pitman Hall or in r=! Regular Registration: Registration forms section for more information.) the I.e.e. The l.CC. cafeteria resembles a O received between May 30 and June 29 must restaurant; prices are average and vary based Delta Chelsea Inn: Located near Ryerson include the regular registration fee. Regis• on menu. Operation hours and meal prices: • tration packets must be picked up at the reg- Polytechnic University. For reservations, call istration desk. You may also register on-site 1-8oo-CHELSEA (1-800-243-5732). Mention Pitman Hall: 7:30 am to 2:30 pm, M-F at the registration desk. code GBMAA and The Mathematical Breakfast$4.50CAN Association of America to receive the special Lunch $9.ooCAN Online Registration: Register on the inter• rates for Mathfest: single: $1S9.00CAN; net to receive instant confirmation by email! double: $179.ooCAN. l.CC; 7:30 am to 9:30 pm daily Go to www.maa.org and click on "Register Continental Breakfast$4.75CAN Ryerson University Housing: Pitman Hall for Mathfest 98." Complete the form and Buffet Breakfast$6.95CAN provides dorm housing with single rooms payment information. Payment accepted by Lunch $6.ooCAN only. The I.e.C. offers low-budget housing in the following credit cards only: MasterCard, Dinner $12.ooCAN Visa, American Express, Discover, and Novus. the on-campus hotel facility. A small portion of room rates subsidize charges for meeting Parking: Passes may be purchased upon Minicourse/Short Course Registration: space. Pitman Hall: $47.ooCAN; The icc. arrival from the Pitman Hall Front Desk: Advance registration forms must be received single/double: $61.00CAN, triple/quad (lim• $10.5OCAN per day, $28.7SCAN for three by June 29. Enroll early, space is limited! If a ited availability): $69.ooCAN. course is full, you will be notified. On-site days, and $S7.5OCAN per week. A 24-hour registration allowed if enrollment permits. To make reservations at Pitman Hall or the access card, which must be returned, will be The MAA reserves the right to cancel cours• l.C,e., complete the Ryerson Conference issued. (A refundable $20.ooCAN deposit is es due to low enrollment. Full refunds will be Housing Form enclosed. The form may be required.) Parking is also available at the 160 issued for cancelled courses. mailed or faxed to: Mutual Street and Victoria/Dundas garages.

Registration Desk: Located in the Center Conference Services Currency Exchange/Goods and Services Hub at Ryerson Polytechnic University, regis• Ryerson Polytechnic University Tax (GSn: The exchange rate is approxi• tration opens Wednesday from noon to 7:00 Pitman Hall mately $1.00USto $1.3SCAN. Ratesvary,so pm. Thursdaythrough Saturdayhours will be 160 Mutual Street you should check the exchange rate before Toronto, Ontario M5B2M2 8:00 am to 4:00 pm. You may pick up and you leave for Mathfest. purchase event tickets at this location. Canada FAX: (416) 979-5212 We recommend exchanging some money Mail-in Registration: Make checks payable before leaving for the meeting. For best to The Windsor Company. Checks must be rates, you should do so at a financial institu• made in U.S. funds and drawn on a U.S. Travel Information tions, such as a bank, trust company or cur• bank. Completed forms with credit card in• Airline: Air Canada, the official airline for formation may be faxed. Maillfax forms to: rency exchange. Currency exchanges are Mathfest 98, offers non-stop service from located at most major airports. The Windsor Company, Inc. over 40 U.S. cities. To take advantage of 5600 General Washington Dr., Ste8-201 special Mathfest fares, you must travel The GST= 7% of the total purchase in most Alexandria, VA 22312 round-trip on an Air Canada or United Canadian provinces. As a visitor, you can Phone: (703) 642-9385 Airlines flight that shares service with Air request a refund for GST on housing accom• Fax: (703) 642-9382 Canada. For reservations, call Travel Unlim• modations and most goods you take home. Email: mhollisOwindsor-lnc.com ited at 1-800-444-7176 or Air Canada at The GST on meals and beverages, wine, 1-800-361-7585. Mention Mathfest Event Registration forms with insufficient payment beer, liquor, tobacco products, transporta• Number CV987017 for special rates. will be returned or assessed a $5US charge tion, and some services is non-refundable. for production of an invoice to collect the Travel from Airport: Toronto (Pearson) Further information about the GST and delinquent amount. A $25USpenalty will be Airport, located about 40 minutes from refund applications will be available at 10 charged for returned checks. downtown, hasthree terminals. Taxis service, Mathfest Registration Desk. DEADUNES Earfy BIrd Registration: May 29 Regu'- Registration: JlIIf 29 50% Refund on Registration Il'ld Event T1cket CanctIIatIon: JlIIf 29

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PLEASE NOTE CHARGE PER GUEST REGISTRATION BELOW

REGISTRATION FEES HOUSING For The DtIta Chelsea 1M call1-800-CHELSEA. (All pricesquoted in US dollars) Mention code GBMM and The Mathematical Association ofAmerica for special rates. For the MATHFEST Early Regular Amount Subtotal I.C.C. or PItman Hall, complete the Ryerson by5/29 by6/29 &onsite Housing form enclosed. Forms may be mailed or o Member 0 MAA 0 CMS 0 Both $155 $202 faxed to: Conference Services, Ryerson Polytechnic o Nonmember $240 $312 University, Pitman Hall, 160 Mutual St. Toronto, o Graduate Student & Others Ontario M5B 2M2, Canada. Fax (416) 979-5212. including unemployed individuals, individuals from developing nations, Kthrough 12teachers andlibrarians $ 39 $ 49 o Please indicate ifyou need additional o Undergraduate Student $ 22 $ 27 assistance tofully participate in o Guest $ 10 $ 10 Mathfest 97. You will be contacted o One Day Registration $121 $121 byThe Windsor Company. Do you want your registration packet mailed inadvance? 0 Yes 0 No SHORT COURSE: CALCULATED DECEPTIONS - MATHEMATICS AND MAGIC If yes, please provide your mailing address You NEED NOT be registered lorMathlest to attend theShort Course, if different from above: D~~ $~ ~ o MM Member and Mathfest Participant $125 $140 o Nonmember or Mathfest Nonparticipant $175 $190

Packets will bemailed June 19. You DO NOT need to MINICOURSES check-in atthe Registraion Desk ifyour packet ismailed. To register lora Minicourse, you MUST be registered lorMathlest. o Developing Materials for Liberal Arts Mathematics $ 49 FAX (CREDIT CARD ORDERS ONLY) o Cooperative Learning in Undergraduate OR MAIL REGISTRATION FORMS TO: Mathematics Education $ 49 o Fuzzy Neighborhoods and theFuzzy Unit Interval $ 49 The Windsor Company 5600 General Washington Drive, Suite 8-201 A Hands-On Approach to Geometry $ 49 o Alexandria, VA 22312 Phone: (703)642·9385 • Fax: (703)642·9382 Email: mhollishindsor~nc.com SOCIAL EVENTS IVtgotIriIoTICUts ...,.,TICUts o Opening Event: "Mystic Festival" &lor X $ 27 METHOD OF PAYMENT o 25-Year Member Banquet &lor X $ 35 o CHECK o PME Banquet: PME members &family, MAA Student Chapter '11embers & Make checks payable toThe Windsor Company. MAA student paper presel¥ers &lor X $ 12 Payment must be in U.S. Funds and drawn on o PME Banquet: All o)lfers &lor X $ 20 aU.S. Bank. A$25 fee will be charged lor retumed ched

New for 1998 Register for Mathfest 98 Online!

Receive instant confirmation when you register online. Here's how to do it: o register Go to MAA Online at www.maa.org online a @ www.maa.o Click on Register for Mathfest 98

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MATH FEST 98 DEADLINES Early Bird Registration May 29 On-Campus Hotel Reservations June 1 Dormitory Housing Reservations June 1 Delta Chelsea Inn Reservations June 11 1 Regular Registration June 29 Short Course Registration June 29 Minicourse Registration June 29

JULY 15-18 • TORONTO EMPLOYMENT OPPORTUNITIES ROCKY MOUNTAIN MATHEMATICA LOUISIANA NEW YORK Join us this summer for a Mathematica workshop in the beautiful and cool mountain LOUISIANA TECH UNIVERSITY BRONX COMMUNITY COLLEGE environment of Silverthorne, Colorado, lo• Mathematics and Statistics OF CUNY cated 9000 feet above sea level. From July The College of Engineering and Science invites The Department of Mathematics and Computer 6-11, 1998, Ed Packel (Lake Forest College) applications for possible non-tenure-track posi• Science invites applications for anticipated ten• and Stan Wagon (Macalester College), both tions at the rank of instructor and tenure-track ure track positions starting in September, 1998. A accreditedWolfram Research instructors with positions at the rank of assistant professor com• Ph.D. in mathematics or computer science is pre• much experience, teach an introductory mencing Fall 1998. Rank and salary will be com• ferred although enrollment in a doctoral program course (for those with modest or no mensurate with qualifications. Excellent creden• is desirable in its absence. Candidates must have Mathematica background) and an interme• tials are required. Teaching duties will be prima• a record of and commitment to excellence in teach• diate course. Both courses have a strong em• rily at the freshman and sophomore levels. The ing and continue scholarly activity. The depart• phasis on the use of Mathematica in math• Mathematics and Statistics Program offers a B.S., ment has 26 full-time and 55 part-time faculty ematics education, covering applications to an M.S., and is a major participant in the interdis• members. Courses offered range from develop• calculus and a wide variety of other under• ciplinary Applied Computational Analysis and mental to upper level mathematics and computer graduate courses. For a registration form or Modeling Ph.D. program. Please send a letter of science. Bronx Community College encourages more detailed information, contact us application, curriculum vitae, and a list of three applications from women and minority candidates ([email protected], (847) 735-5155; professional references to: Dr. James Nelson, As• and is an AAlEOE. Send a letter of application, a [email protected], (612) 696-6057) or sociate Dean for Undergraduate Studies, College statement of teaching philosophy, resume, gradu• visit our web site (http://math.lfc.edu/ of Engineering and Science, Louisiana Tech Uni• ate transcript(s), and three recent letters of refer• Rocky_Mtn_Mathematica). versity,Ruston, LA 71272-0046. Applications will ence (at least one should address teaching) to: be accepted until the positions are filled. Louisi• Participants may obtain graduate credit from ana Tech University is an equal opportunity, affir• Prof. Gerrnana Glier the University of Colorado for completing mative action employer. Women and minorities Chair, Mathematics and Computer Science the course. are encouraged to apply. Bronx Community of CUNY University Ave. and West 181 St. Bronx, NY 10453

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