MESSAGE FROM THE CHAIR

Melvyn W. Jeter, Illinois Wesleyan University

I find it to be a humbling experience to become the Chair of the ISMAA, following so many outstanding individuals who have served in this role in the past. Most recently, Robert Hathway has just finished an outstanding year of leadership as our Chair. He will, of course, continue to serve our organization as the Past-Chair for two more years. Starting this year, ISMAA Chairs will hold two year terms, and the previous Chair will serve for two years as the Past-Chair. The good news is that Robert will continue his important leadership role in the vital contribution that ISMAA plays regarding the development of state criteria for course work in general education and in the major for mathematics. Hopefully, we will be able to inform our community of these important issues through future issues of this newsletter.

I would like to express my thanks to all those who made our spring meeting at Augustana College a pleasant and successful experience. Special thanks go to Claire Krukenberg and the Program Committee for their excellent work. Robert Johnson and the fine people at Augustana did an outstanding job with the local arrangements. Now everyone will want a mathematics and computer science facility like the one at Augustana! Our Student Chapter Coordinator, John Haverhals, and his associates did a lot of behind the scenes work to make the meeting memorable for our student participants. Under the able leadership of Jim Marshall, Project NExT again enjoyed another successful ISMAA Project NExT program at the Augustana meeting. As usual Jon Johnson was invaluable as he handled some of the more tedious aspects of the meeting.

Next spring, our annual meeting will take place on the campus of North Central College in Naperville, Illinois. Rich Wilders will be Program Chair as well as in charge of local arrangements. The meeting will take place on March 30 and April 1. Other ISMAA members involved in the planning of that meeting include Jim Trefzger, Jim Olsen, Tom Bengston, and John Haverhals. I know that they would welcome suggestions that you might care to make regarding next year's program. Congratulations to Herb Kasube of Bradley University for winning the 1999 Distinguished Service Award. It was an award well deserved. Next year, Neale Fadden, Belleville Area College, will be the Chair of the 1999-2000 Awards Committee. Joining him on the committee will be Iraj Kalantari and Howard Saar. Please help them by nominating individuals for both the Distinguished Service and the Distinguished Teaching awards.

GOVERNOR'S REPORT

Larry J. Morley

Greeting from west central Illinois. We are just beginning what will be a yearlong Centennial Celebration of the founding of what is now Western Illinois University. We hope some of you may be able to join us on September 30 1999 for our Centennial Lecture in Mathematics by Zalman Usiskin, "From math for a few, to math for all."

I am pleased to report that I have been appointed to the MAA Committee on Student Sections and look forward to this assignment. It appears that interest in student chapters is growing in Illinois and it was most gratifying to see an increase in the number of students in attendance at our last annual meeting. And, by the way, a special note of thanks to the Program Committee and hosts at Augustana College for a most hospitable and beautiful setting for a very successful Seventy-Eighth Annual Meeting of the ISMAA.

Moving on to some happenings at the national level. The most debated issue at the winter Board meeting was a suggestion to allow non-student members to choose Math HORIZONS as a journal option. My personal opinion at this time is that a bulk subscription of some size as a part on institutional membership would be a better idea. We had some discussion of this question at the ISMAA Board meeting in February, but I would like hearing more from individual members regarding whether this might be a popular choice for retaining or attracting new members. Would having Math HORIZONS as a choice for individual memberships be a more attractive option for our undergraduate student members not going on to graduate school? What about those that are high school teachers? I would very much like to receive more input from members of the Illinois Section on the important question of priorities of the MAA for the start of the next millennium. MAA President Tom Banchoff is heading a group to study these priorities and a report to the Board of Governors is expected at the July meeting. To be more specific, if you had to pick one thing for the MAA to achieve on behalf of its individual members over the next three years, what would it be? Along this same line, what would be the one particular thing you believe the MAA should achieve on behalf of the profession? I would love to have your ideas to take with me to the meeting at MathFest 1999 in Providence.

Plans are underway to merge of the Executive and Finance Committees. The Board of Governors expressed support for pursuing such a change and a proposal to revise the Bylaws will be presented to the Board in July. Any thought on this issue?

Professor Titu Andreescu has replaced Walter Mientka as Director of the American Mathematical Competitions (AMC). Walter acknowledged, with appreciation, the ILLINOIS SECTION'S $500 contribution to the AMC. The Governors unanimously voted to add a test specifically for 9th and 10th graders to the competitions for a trial period of three years.

By now you should have seen program information for the 1999 MathFest in Providence, RI (July 31 - August 2). From reports in San Antonio it should be a very enjoyable and useful meeting and we hope to see an increase in the attendance. The future of the summer meetings continues to be a matter of critical attention and concern by the Governors and various innovative ideas for scheduling are being considered. MathFest 2000 will be in Los Angeles at UCLA - August 3-5, 2000 just ahead of the AMS meeting addressing the research agenda for the 21st Century.

I look forward to receiving ideas and suggestions. Best wishes for a most enjoyable and safe summer. Hope to see you in Providence!

Larry J. Morley , Department of Mathematics Western Illinois University Macomb, IL 61455

2000 ANNUAL MEETING AT NORTH CENTRAL COLLEGE

The 2000 Annual Meeting of the Section will be held at North Central College on March 31 and April 1. Members are invited to submit proposals for presentations to Rich Wilders, program chair, at rjw@noctrl..edu or via the mail at North Central College P.O. Box 3063 Naperville, IL 60566.

We have a commitment from Fred Rickey for a mini course on the history of mathematics. There will be a follow-up session or two on history Friday afternoon and, possibly, Saturday morning. Ideas for topics or proposals for presentations are invited. Underwood Dudley of DePauw university and trisection fame will give the after-dinner speech.

To: ISMAA Membership

From: James Olsen, Two-year College Committee Chair

Date: April 23, 1999

RE: New Course

Please review and give thought to the following description of a new course for possible inclusion in the Illinois ISMAA/IMACC Articulation Guide. The current title is "Mathematical Modeling and Experimentation," but better titles may exist ("Mathematical Thinking" has been considered). The Joint Task Force on Curriculum (made up of IMACC and ISMAA) will be considering this course proposal over the next year. It is our intention to bring it to a vote at the annual meeting of IMACC and ISMAA in the spring of 2000. The course description and a Q & A will be on the ISMAA website. We would like to generate discussion about this new course over the next year. We ask for your input and suggestions. Please e-mail these to me at james_olsen@ccmail.wiu.edu.

PROPOSED COURSE TO BE ADDED TO THE ILLINOIS MATHEMATICS AND COMPUTER SCIENCE ARTICULATION GUIDE

Mathematical Modeling and Experimentation

3-4 Semester hours

Prerequisites: __Geometry__ and __Intermediate Algebra__ both with a grade of C or better

Focuses on mathematical reasoning through the active participation of students in solving interesting and challenging problems. Integrates the use of graphing calculators and personal computers as problem solving tools. Emphasizes learning mathematics by doing mathematics so that students can build their own knowledge base of algebraic and geometric models; and, at the same time, acquire the mathematical "habits of mind" necessary to use mathematics in their subsequent course work, their jobs, and their personal lives.

The successful student should be able to:

Formulate a conjecture using inductive reasoning, support a conjecture using deductive reasoning, and refute a conjecture with a counter-example.

Use mathematically correct vocabulary and symbolism to communicate orally–and in writing–problem statements, problem-solving methods, and interpretations of the solutions to problems.

Represent and solve problems using appropriate algebraic and geometric models and state implied assumptions in modeling a problem solving situation.

Estimate solutions and perform order-of-magnitude comparisons to test the reasonableness of solutions or determine the best answer possible with the information available.

Represent mathematical relationships using formulas, tables, and graphs.

Solve problems by using graphing calculators and computers to create mathematical models.

COURSE CONTENT

** **Mathematical modeling, inductive and deductive reasoning in problem solving, mathematical proof, limitations of inductive and deductive reasoning, mathematical induction and recursive relationships, sequences and series in modeling, variables and functions, graphical and algebraic representation of both linear and non-linear functions, interpolation and extrapolation, scientific notation and logarithms, logarithmic scales, logarithmic functions and exponential functions in modeling.

Question and Answers about the Mathematical Modeling and Experimentation Course

**Q: **What is the student population to be served?

**A: **At least two populations: (a) Students in a non-calculus track. Students who need to build baccalaureate-level mathematics skills. and (b) Students who have had Intermediate Algebra but are not in a position to be successful in College Algebra. Rather than retake Intermediate Algebra, this course gives these students a course that can prepare them for success in College Algebra.

**Q: **How does this compare with College Algebra?

**A: **The emphasis is on applications and not on calculus preparation. There is some overlap with College Algebra topics, especially problems found in a Modeling-Approach-to-College-Algebra-type textbook. However, there are precalculus topics from College Algebra (and Modeling-Approach-to-College-Algebra-type textbooks) which are *not *included in the Mathematical Modeling and Experimentation (MM&E) Course. For example, theory of polynomial equations.

**Q: **How does this compare with a Quantitative Literacy course?

**A: **The basic goal of MM&E is similar to that of a Quantitative Literacy course. The course is "designed to provide the basic numeracy needed by a college graduate to reason quantitatively" (see Curriculum Guide, p.12). MM&E does not however include the statistics at the level covered in the Quantitative Literacy course. For example, normal and chi square distributions and decision-making based on hypothesis testing most likely would not be included in MM&E. The desire in the MM&E course is to provide sufficient time to explore, in depth, numerous mathematical modeling approaches. Statistics is only covered to the level needed for mathematical modeling. Also, in MM&E, conceptual understanding *and *algorithmic methods are emphasized. The Quantitative Literacy course is to be "non-algorithmic in nature" (Curriculum Guide, p.12).

**Q: **Does the MM&E course satisfy the General Education Requirements on page 6 of the Curriculum Guide?

**A: **In the view of many, yes. The course is designed to match all of the goals on page 6. Each individual should compare the goals with those of the course for him/herself.

Websites of interest:

Illinois Mathematics and Computer Science Articulation Guide (referred to asthe IMACC- ISMAA "Curriculum Guide")

Illinois Section of the Mathematical Association of America (ISMAA) http://ismaa.knox.edu/

Illinois Mathematics Association of Community Colleges (IMACC) < /FONT> http://www.richland.cc.il.us/imacc/

Results of Student Math Contest at the ISMAA Annual Meeting

There were 20 possible points on the four problems which each team submitted from the six given problems. The first place team consisting of Brad Friedman and Matt Rodriguez from the University of Illinois-Champaign earned 14 points. The second place team from Knox College with members Karin Ralston, Nikhil Krishnaswamy and Serhan Altunata scored 11 points. There was a two-way tie for third place with both of the teams from the University of Illinois-Chicago, consisting of a team with Lucas Bergman, Eugene Sadhu, and Junaid Mansuri and a

one-member team with Kevin C. Jones. These teams and team members are recognized for their excellent results. Brad Friedman and Matt Rodriguez will be receiving the first team awards. Each of these teams and team members mentioned must receive recognition for their excellent results.

Teams which had the numbers 5, 11, 14 and 16 earned between 3 and 6 points. Teams with numbers 1, 2 and 13 scored less than 3 points.

Each team which participated must be congratulated for their efforts. I trust that each found the Contest challenging and stimulating. Thank you for making the Contest a success.

John Haverhals

Student Chapter Coordinator

ISMAA BOARD MEMBERSHIP FOR 1999-2000

Chair:

Melvyn Jeter

Illinois Wesleyan University

mjeter@sun.iwu.edu

Past Chair:

Robert Hathway

Illinois State University

hath@math.ilstu.edu

Director of Private Colleges:

Tom Bengston

Augustana College

mabengston@augustana.edu

Director of Public Universities:

Jim Olsen

Western Illinois University

jr-olsen@wiu.edu

Director of Community Colleges

Jim Trefzger

Parkland College

jtrefzger@parkland.cc.il.us

Secretary/Treasurer

Jon Johnson

Elmhurst College

jonj@elmhurst.edu

Directors-at-Large

2000:

Philip Marcus

Eureka College (retired)

pmarcus@eureka.edu

James Marshall

Illinois College

jmarshal@hilltop.ic.edu

Cheryl Hawker

Eastern Illinois University

cfcmh@eiu.edu

2001:

Vicki Beitler

Parkland College

vbeitler@parkland.cc.il.us

Dennis Ryan

McKendree College

dryan@atlas.mckendree.edu

Herb Kasube

Bradley University

hkasube@bradley.bradley.edu

2002:

Mary Armon

Knox College

marmon@knox.edu

Donald Porzio

Illinois Mathematics and Science Academy

dporzio@imsa.edu

Jerry Uhl

University of Illinois at Urbana-Champaign

juhl@ncsa.uiuc.edu

Governor

Larry Morley

Western Illinois University

larry_Morley@ccmail.wiu.edu

Special Responsibilities

Newsletter Editor

Richard Wilders

North Central College

rjw@noctrl.edu

Student Activities Coordinator

John Haverhals

Bradley University

Webmaster:

Scott Harrod

Consultant

Harrod@eisner.decus.org

Liaison Coordinator & American Junior High & Hish School Math Exam

Coordinator

Herbert Kasube

Bradley University

INDIANA SECTION INVITES OUR PARTICIPATION

The Fall Meeting of the Indiana Section of the MAA will take place at Valparaiso University on October 16, 1999. Rcik Gillman invites members of the ISMAA to consider attending and/or submitting a paper for presentation at this meeting. To obtain further information about submitting a paper send e-mail to callond@franklincoll.edu

1999 DISTINGUISHED SERVICE AWARD

Herb Kasube, Bradley University

Herb Kasube was presented with the Distinguished Service Award of the Illinois Section at the Annual Meeting in Augustana. Dr. Kasube is Associate Professor of Mathematics at Bradley University. He has served the Section as a member of its Board, as Coordinator and speaker at numerous ISMAA meetings, and (1994) as Chair of the Section.

In addition to his active role in ISMAA, Herb is a member of ICTM, NCTM, MAA, AMS, and the Canadian and British Societies for the history of mathematics. He has serves as a member of the CUPM, CRAFTY and, for many years as a regional director of both the American Junior and Senior High School Mathematics Examinations.

It is with pleasure that the Section acknowledges the continuing and significant work of Herb Kasube to the mathematics community and to the section in particular.

2000 ILLINOIS SECTION AWARD

DISTINGUISHED COLLEGE OR UNIVERSITY TEACHING OF

MATHEMATICS: CALL FOR NOMINATIONS

ABOUT THE AWARD

In 1991, the Board of Governors of the Mathematical Association of America established the Section Awards for Distinguished College or University Teaching of Mathematics to recognize teachers of mathematics who have been extraordinarily successful at the post-secondary level. Award recipients are outstanding teachers who foster excitement about mathematics in their own students, and whose influence in teaching has gone well beyond their own institution. Simply being nominated for the award is a distinct honor.

Each year, a Selection Committee chooses a recipient for the Illinois Section Distinguished Teaching Award from nominations made by the section membership. The awardee is honored with a certificate at that year's Spring meeting of the section, and is invited to deliver a lecture at the following year's Spring meeting of the section. This individual becomes the official Section nominee for the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics. These national awardees (at most three) are honored at the January meeting of the MAA and receive a $1000 check and a certificate.

ELIGIBILITY

The nominee must: be a member of the MAA; be a college or university teacher assigned at least half-time during the academic year to the teaching of a mathematical science in a public or private college or university (from two-year college teaching through teaching at the Ph.D. level) in the United States or Canada; and have at least five years teaching experience in a mathematical science. Those on approved leave (sabbatical or other) during the academic year in which they are nominated qualify if they fulfilled the requirements in the previous year

CRITERIA

The nominee should: be widely recognized as extraordinarily successful at the post-secondary level and have teaching effectiveness that can be documented. "Teaching" is to be interpreted in its broadest sense, not necessarily limited to classroom teaching. It may include activities such as preparing students for mathematical competitions at the college level (e.g., Putnam Prize Exam or Mathematical Contest in Modeling), or attracting students to become majors in a mathematical science or to become Ph. D. candidates. Nominees should have had influence in their teaching beyond their own institution. "Influence beyond their own institution" can take many forms, including demonstrated lasting impact on alumni, influence on the profession through curricular revisions in college mathematics teaching with impact beyond your institution, and influential innovative books on the teaching of mathematics, foster curiosity and generate excitement about mathematics in their students

NOMINATION PROCESS

Any member of the Illinois Section of the MAA may nominate any other member of the Section for this award. Self-nomination is not permitted. Please send a completed nomination form (in the center fold of this newsletter) or a letter of nomination (regular or electronic mail) by September, 1999 to:

Larry Morley

Department of Mathematics

1 University Circle

Western Illinois University

Macomb, IL 61455-1390

E-mail: L-Morley@wiu.edu

The Committee will review all nominations and select at least two semifinalists. The Committee will contact the nominators of semifinalists and work with them to complete the enhanced nomination packets by January 15, 2000. A complete nomination packet should contain the following items:

NOMINATION FORM: The completed Nomination Form should form the first page of the application.

NARRATIVE: Please describe the nominee's success in teaching by providing a narrative of the nominee's background, experience, teaching style, special contributions, other teaching awards, and any additional related information.

ADDITIONAL DOCUMENTATION: Please submit no more than three additional pages of evidence to document the nominee's extraordinary teaching success. This documentation will vary greatly from institution to institution but may include summaries of peer or student evaluations, comments on teaching, possible increases in numbers of undergraduate or graduate degrees given in mathematics

ISMAA DISTINGUISHED SERVICE AWARD

CALL FOR NOMINATIONS

Nominees for the ISMAA award for distinguished service are also in order and may be forwarded to Larry Morley at the above address. The deadline for nominations is January 15, 2000. Persons selected for this award shall be characterized as those who have made the Illinois Section better able to fulfill its purpose to improve education in the mathematical sciences at the collegiate level.