Program for the 2005 Annual Meeting

Morehead State University, Morehead

April 1 - 2, 2005


Note: All times are EST and F= Faculty, G = Graduate Student, U = Undergraduate Student.

There is an MSWord version of the program available at: 2005 Meeting Progam.
There is an MSWord version of the Abstracts for these talks at: 2005 Meeting Abstracts.

Friday, April 1

2:00 � 5:30 Registration Lappin Hall Main Entrance Lobby
2:00 � 5:30 Book Exhibit Lappin Hall Room 102
2:00 � 5:00 Refreshments Lappin Hall
4:00 � 5:45 Short Course Lappin Hall Room 227
Using Computerized Puzzles for Fun and Pedagogy
John Kiltinen, Northern Michigan University

This workshop will introduce participants to a system of computerized permutation puzzles developed by the presenter. In addition to learning the basics of how the system works, participants will also get an overview of how puzzles can be used for several pedagogical purposes. The presenter will describe how he uses the puzzles in an introductory abstract algebra course to give practical insight into concepts such as conjugates and commutators, and to provide models for permutation groups. Participants will learn how the customizability of the system makes it useful for motivating students and presenting interesting challenges in several other courses.

3:00 � 3:20 Contributed Papers
  • An Introduction to Population Ecology Using Maplets by Brandon Hale, Murray State University (u) in Lappin Hall 101
  • Jan DeWitt (1625-72) and the Beginnings of Coordinate Geometry by Daniel J. Curtin, Northern Kentucky University (f) in Lappin Hall 113
  • Linear Models in Paleoecology by John P. Boardman, Franklin College (f) in Lappin Hall 107
  • Binomial to Normal Approximations by Dave Billiter & Dustin Lueker, Morehead State University (u) in Lappin Hall 112
3:30 � 3:50 Contributed Papers
  • Bounding the Zeros of a Polynomial by Scott Holbrook, Murray State University (u) in Lappin Hall 101
  • Coupon Collecting with Quotas by Rus May, Morehead State University (f) in Lappin Hall 113
  • The Function Box: A device to model 3-D surfaces for the classroom by Michael W. Glier, Northern Kentucky University (u) in Lappin Hall 107
  • Map of the Spatial Distribution of Atomic Hydrogen Associated With the Nucleus of the Milky Way Galaxy by Quentin Ennis, Morehead State University (u) in Lappin Hall 112
4:00 � 4:20 Contributed Papers
  • The Morehead Space Tracking Antenna and Radio Telescope: Operator Program and Data imaging Using Data Reduction Automation Program (DRAP) by Mike McCarty, Morehead State University (u) in Lappin Hall 101
  • Mathematics and the Elections by Amy Morgan, Morehead State University (u) in Lappin Hall 107
  • Long-term Monitoring of Active Galactic Nuclei at 1420 MHz by Bill Atwood, Morehead State University (u) in Lappin Hall 112
4:30 � 4:50 Contributed Papers
  • (Historical) Basis for a Topology by Dustin Lueker, Morehead State University (u) in Lappin Hall 101
  • Counting Infinities and the Continuum Hypothesis by Ted Porter, Murray State University (f) in Lappin Hall 113
  • Probabilities, Uncertain Reasoning, and M�bius Transforms by Kevin Kirby, Northern Kentucky University (f) in Lappin Hall 107
  • Cheap computing for the Mathers by Raymond Stone, Morehead State University (u) in Lappin Hall 112
5:00 � 5:20 Contributed Papers
  • Believing the Axiom of Choice by David Billiter, Morehead State University (u) in Lappin Hall 101
  • Proving an Invariant of 3-manifolds through Skein Theory by Tim O'Brien, Morehead State University (f) in Lappin Hall 113
  • The Morehead State University 21 M Space Tracking Antenna: An Instrument for Interdisciplinary Undergraduate Research by Benjamin K. Malphrus, Morehead State University (f) in Lappin Hall 107
  • Addition Chains by Nathan Gilbert, Morehead State University (u) in Lappin Hall 112
5:30 � 5:50 Contributed Papers
  • Math and Computer Science Clubs by Dora Ahmadi, Morehead State University (f) in Lappin Hall 101
  • Shape Classification via Persistent Homology by Anne Collins, Centre College (f) in Lappin Hall 113
  • Li Zhou�s challenge by Phil McCartney, Northern Kentucky University (f) in Lappin Hall 107
6:00 � 7:30 Banquet in Crager Room, Adron Doran University Center
All meal reservations must be made and paid by March 16th.
7:30 � 8:30 Invited Address: in Reed Hall, Room 419
Problems with Math Problems
Richard Neal, American Society for Mathematics

Dr. Richard Neal began editing problems for The Problem Solving Competition and mailing them to colleges and universities around 1987. Students and teachers submit problems each month that are edited and sent out to colleges and universities. During the interim issues arose regarding the appropriateness of problem statements and solutions. In this talk the speaker will select a few of the problems that have been posed over the years and talk about �Problems with Math Problems.� This will give the audience a chance to view some of the problems and related difficulties in posing, and answering math problems.

8:30 - ??? Aftermath in Reed Hall, Room 419

Saturday, April 2

7:45 � 10:00 Registration Lappin Hall Main Entrance Lobby
7:45 � 11:00 Refreshments Lappin Hall
8:00 � 11:20 Book Exhibits Lappin Hall Room 102
8:00 � 8:20 Contributed Papers
  • SET Game Mathematics by Scott J. Lewis, Murray State University (f) in Lappin Hall 101
  • On the integrity of small graphs by Claus Ernst, Western Kentucky University (f) in Lappin Hall 113
  • The Cotesian Theorem by Tom Richmond, Western Kentucky University (f) in Lappin Hall 107
  • Areas and Volumes of non-Euclidean Solids of Revolution by Robert L. Lamphere, Elizabethtown Community & Technical College (f) in Lappin Hall 112
8:30 � 8:50 Contributed Papers
  • Wavelet-Based Cryptography in Images by Bruce Kessler, Western Kentucky University (f) in Lappin Hall 101
  • Benford�s Law, The Quran, Pi, Fibonacci Sequence and more! by Lloyd Jaisingh, Morehead State University (f) in Lappin Hall 113
  • Creating an On-line Class Portfolio in an Upper-division Course by Daylene Zielinski, Bellarmine University (f) in Lappin Hall 107
  • Problem Solving to the nth degree by Richard M. Davitt, University of Louisville (f) in Lappin Hall 112
  • CUPM Curriculum Guide 2004: The Next Step by Dora Ahmadi, Morehead State University (f) in Lappin Hall 108
8:50 � 9:10 Break
9:10 � 9:55 2004 Distinguished Teaching Award Address Reed Hall, Room 419
Mathematics Curriculum Alignment Efforts in Kentucky
Steve Newman, Northern Kentucky University

Recent and ongoing efforts to align Kentucky high school mathematics curricula and assessments with postsecondary expectations and national standards will be discussed. The roles of the Kentucky college mathematics community, the Kentucky Early Mathematics Testing Program, the American Diploma Project, and the Mathematics Postsecondary Placement Policy Group in this process will be highlighted.

9:55 � 10:15 Break
10:15 � 10:35 Contributed Papers
  • Rejewski�s Theorems by Chris Christensen, Northern Kentucky University (f) in Lappin Hall 101
  • The N+k Queens Problem by R. Douglas Chatham, Morehead State University (f) in Lappin Hall 113
  • Torsional Waves in Elastic Rods by Despina Stavri, Murray State University (g) in Lappin Hall 107
  • Calculus: Balancing basic literacy and technological proficiency by Barry Brunson, Western Kentucky University (f) in Lappin Hall 112
  • Irrational Numbers by Milton H. Nash, University of Louisville (f) in Lappin Hall 108
10:45 � 11:05 Contributed Papers
  • Factoring and the Number Field Sieve by Patrick Costello, Eastern Kentucky University (f) in Lappin Hall 101
  • Semigroups and Topologies by Bettina Richmond, Western Kentucky University (f) in Lappin Hall 113
  • Grid posets by Rob Donnelly, Murray State University (f) in Lappin Hall 107
  • New Courses in Mathematics by Bill Johnston, Centre College (f) in Lappin Hall 112
11:30-12:30 Invited Address Reed Hall, Room 419
Mathematical Communication: Spoken and Unspoken
Susanna Epp, DePaul University

Much of what we say and write in our mathematics classes assumes that our students understand linguistic and logical conventions that have never been made explicit to them. What problems result from this assumption, and how can we address them?

12:30 � 1:30 Lunch in Crager Room, Adron Doran University Center
1:30 � 2:15 Business Meeting in Crager Room, Adron Doran University Center
NOTE: we will vote on: Proposed Revision to KYMAA Bylaws

2:30 � 3:30 KYMAA Executive Committee Meeting

Abstracts and Bios for the Invited Talks

John Kiltinen will give a workshop Using Computerized Puzzles for Fun and Pedagogy.
Abstract: This workshop will introduce participants to a system of computerized permutation puzzles developed by the presenter. In addition to learning the basics of how the system works, participants will also get an overview of how puzzles can be used for several pedagogical purposes. The presenter will describe how he uses the puzzles in an introductory abstract algebra course to give practical insight into concepts such as conjugates and commutators, and to provide models for permutation groups. Participants will learn how the customizability of the system makes it useful for motivating students and presenting interesting challenges in several other courses.
Biographical Information: John O. Kiltinen is a Professor of Mathematics at Northern Michigan University in Marquette, Michigan. He earned his doctorate at Duke University. His research interests include topological algebra, group theory, and number theory. He has been active in the Michigan Section of the MAA, and served as that Section's Governor from 1998 to 2001. His book, Oval Track and Other Permutation Puzzles (And Just Enough Group Theory to Solve Them) and its accompanying puzzle software were published by the MAA in 2003.

Richard Neal will speak on Problems with Math Problems.
Abstract: Dr. Richard Neal began editing problems for The Problem Solving Competition and mailing them to colleges and universities around 1987. Students and teachers submit problems each month that are edited and sent out to colleges and universities. During the interim issues arose regarding the appropriateness of problem statements and solutions. In this talk the speaker will select a few of the problems that have been posed over the years and talk about �Problems with Math Problems.� This will give the audience a chance to view some of the problems and related difficulties in posing, and answering math problems.
Biographical Information: [On June 5, 2008, this biographical information was removed at the request of Richard Neal.]

Steve Newman will speak on Mathematics Curriculum Alignment Efforts in Kentucky.
Abstract: Recent and ongoing efforts to align Kentucky high school mathematics curricula and assessments with postsecondary expectations and national standards will be discussed. The roles of the Kentucky college mathematics community, the Kentucky Early Mathematics Testing Program, the American Diploma Project, and the Mathematics Postsecondary Placement Policy Group in this process will be highlighted.
Biographical Information: Steve Newman is professor of mathematics at Northern Kentucky University and director of the Kentucky Early Mathematics Testing Program. He received his Ph.D. from the University of Utah in 1968 and has been teaching at NKU since 1972. He has been involved in curriculum alignment issues in mathematics for the past seven years. He was a member of the national Content Expert/Employer Panel in mathematics for the American Diploma Project. He is a member of the Mathematics Postsecondary Placement Policy Group convened by the Council on Postsecondary Education and a member of the Commissioner�s Mathematics Focus Group chosen by the Kentucky Department of Education.

Susanna Epp will speak on Mathematical Communication: Spoken and Unspoken.
Abstract: Much of what we say and write in our mathematics classes assumes that our students understand linguistic and logical conventions that have never been made explicit to them. What problems result from this assumption, and how can we address them?
Biographical Information: Susanna S. Epp (Ph.D., University of Chicago, 1968) is Vincent de Paul Professor of Mathematical Sciences at DePaul University. After initial research in commutative algebra, she became interested in cognitive issues associated with teaching analytical thinking and proof and has published a number of articles and given many talks related to this topic. She is the author of Discrete Mathematics with Applications and is co-author of Precalculus and Discrete Mathematics, which was developed as part of the University of Chicago School Mathematics Project. Long active in the Mathematical Association of America, she is an author of CUPM Curriculum Guide 2004 and is now the co-editor (for content) of Illustrative Resources for CUPM Guide 2004, an online supplement to the Guide. In January 2005 she received the Louise Hay Award for contributions to mathematics education, given by the Association for Women in Mathematics.