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hawkeslearning.com MathFestPittsburgh, August 5–7, 2010
Table of Contents
Invited Addresses 5
Invited Paper Sessions 9
Contributed Paper Sessions 10
Panels and Other Sessions 13
Undergraduate Student Activities 14
Graduate Student Activities 14
SIGMAA Activities 17
Minicourses 18
Short Course 19
Biomathematics at MathFest 2010 20
Exhibitors 21
Timetable 24
Social Events 44
Sudoku 49
MAA MathFest 2010
Invited Adresses
Earl Raymond Hedrick Lecture Series MAA Invited Address
Complex Dynamics and An Attempt to Turn Geometry into Crazy Mathematics (Decorated) Graphs Robert L. Devaney, Rebecca Goldin, Boston University George Mason University Thursday, August 5, 8:30 am – 9:20 am The 2010 Hedrick Lectures will investigate some of the complicated In the late 19th century, dynamics and beautiful images mathematicians were interested that arise when complex functions in problems such as this one: given are iterated. The chaotic regimes four generically placed lines in three for these maps, the so-called Julia dimensions, how many other lines sets, are extremely rich from both intersect all four? This question a topological and geometric point and many others can be formulated of view. Yet to this day, the Julia sets for such simple maps in terms of the intersections of subvarieties of the as the quadratic function z2 + c and the exponential map Grassmannian of k-planes in n-space, λez are not completely understood. Each of these lectures or more generally, flag varieties (whose points are will be independent and will focus on a particular class of sequences of inclusions of vector spaces). complex maps. As a sub theme, each lecture will feature some of the “crazy” mathematics that is used to understand These intersection questions inside the flag variety and these sets. some generalizations, together with related algebraic and combinatorial questions, form the field of Schubert calculus. Lecture 1: The Fractal Geometry of the Mandelbrot Set Of primary importance is that flag varieties can be realized Thursday, August 5, 10:30 am – 11:20 am as algebraic, symplectic manifolds with Hamiltonian In this lecture we will describe the structure of the actions by a compact torus. Among the magic properties Mandelbrot set, the parameter plane for the quadratic are that the torus acts with isolated fixed points, and that function z2 + c. While the geometry of this set is very codimension-one tori fix only points and two-spheres. intricate, much of it can be understood as long as you know how to add and count the crazy way some number The desire to compute associated algebraic invariants, such theorists do. as the product structure of associated rings in special bases, has spawned many combinatorial and graph-theoretic Lecture 2: Exponential Dynamics and Topology objects. In this talk, we will discuss some graphs associated Friday, August 6, 9:30 am – 10:20 am to certain manifolds with torus actions, and ask the question In this lecture we turn attention to the very different of how combinatorial games involving the graphs can be behavior of the complex exponential function λez. We used to answer geometric questions about the original will describe some of the incredible bifurcations this manifold and intersections of subvarieties therein. map undergoes when λ varies. And we’ll see that many crazy topological objects like Cantor bouquets and indecomposable continua arise in these Julia sets.
Lecture 3: Sierpiński Galore Saturday, August 7, 9:30 am - 10:20 am In this lecture we describe the dynamics of certain families of rational maps. Here we will focus on maps for which the Julia sets are Sierpiński curves. We will see that these types of Julia sets arise in a myriad of different ways and that they also exhibit some crazy geometric and topological properties.
5 MAA MathFest 2010
Invited Adresses ...continued
MAA Invited Address is matched with another patient and donor in the same situation for an organ exchange. Patient-donor pairs can Mathematics Motivated by Biology be represented as the vertices of a graph, with an edge Martin Golubitsky, between two vertices if a paired donation is possible. Ohio State University A maximum matching on that graph is an arrangement Thursday, August 5, 9:30 am – 10:20 am in which the largest number of people can receive a transplant. Operations research techniques even proved Interesting areas in biology the impact of paired donation on the kidney shortage, (I’ll stress neuroscience) often lead motivating Congress to pass a law allowing the United to new mathematics. For example, Network for Organ Sharing to arrange these transplants. the characteristic rhythms of animal gaits lead to a classification of spatio- temporal symmetries of periodic solutions; the abstraction of experimentally determined AWM-MAA Etta Z. Falconer Lecture connections between hypercolumns in the visual cortex Mathematical Challenges (itself a Nobel Prize winning idea) leads to an embedding in the Treatment of Cancer of the Euclidean group in the visual system (and a possible Ami Radunskaya, description of geometric visual hallucinations); and an Pomona College attempt to understand the remarkable variety of bursting Friday, August 6, 8:30 am – 9:20 am neurons leads to the understanding of the dynamics of bursting in multiple time-scale systems. In this talk I’ll What can mathematics tell us about survey some of these connections. the treatment of cancer? Cancer is a myriad of individual diseases, with the common feature that an MAA Lecture for Students individual’s own cells have become malignant. It is believed that a Faster, Safer, Healthier healthy individual keeps potentially cancerous cells from with Operations Research developing into a threatening tumor through a complicated Sommer Gentry, network of immune response and mechanisms built into United States Naval Academy the cell cycle that recognize aberrant cells and control their Thursday, August 5, 1:00 pm – 1:50 pm proliferation. Thus, the treatment of cancer poses great challenges, since an attack must be mounted against cells While mathematical advances of that are nearly identical to normal cells. Mathematical all sorts have impacted our world models that describe tumor growth in tissue, the immune for the better, operations research response, and the administration of different therapies is a branch of mathematics that can suggest treatment strategies that optimize treatment is expressly focused on applying efficacy and minimize negative side effects. However, the advanced analytical methods inherent complexity of the immune system and the spatial to help make better decisions. heterogeneity of human tissue gives rise to mathematical models that pose unique analytical and numerical Operations researchers have eased traffic jams by closing challenges. These include modeling behavior over vastly selected streets, and gotten packages to you more quickly different time scales, incorporating delays into the model, by planning U.P.S. routes with fewer left turns. Operations optimization in high-dimensional spaces, and fitting large researchers have shown which personal decisions are the sets of dependent parameters to data. leading causes of death, and planned emergency responses for bioterror attacks and natural disasters. In this talk I will present an overview of work that I have done in this area, with the help of many collaborators, over Operations research can increase the supply of kidneys the last ten years, highlighting the various approaches we available for patients who need a transplant. In a kidney have taken to tackle these mathematical challenges. paired donation, one patient and his incompatible donor
6 MAA MathFest 2010
Invited Adresses ...continued
James R. Leitzel Lecture Pi Mu Epsilon J. Sutherland Frame Lecture
Exploring School Mathematics with Felix Klein Incomprehensibility William McCallum, University Nathaniel Dean, of Arizona Texas State University Friday, August 6, 10:30 am– 11:20 am Friday, August 6, 8:00 pm – 8:50 pm Felix Klein’s Elementary After data collection the analysis Mathematics from an Advanced of complex systems is usually Standpoint, published in 1908, is accomplished by analyzing the data a tour of the school mathematics using various statistical approaches. of his time, guided by profound However, to understand the mathematical knowledge and deep structural interactions between appreciation of teachers. 100 years later it inspired the Klein entities (for example, people, objects or groups), systems Project, a joint effort of the International Mathematical of interactions can be modeled as graphs linking nodes Union and the International Commission on Mathematical (entities) with edges that represent various types of relations Instruction, to develop resources that will help secondary between the entities. Then the graph can be visualized, mathematics teachers make connections between what they explored and analyzed using a variety of mathematical teach and the field of mathematics more broadly. What algorithms and computer tools. In this talk we discuss would a Klein tour of U.S. school mathematics look like the limitations of this approach, why some graphs cannot today? How much of the countryside remains the same, be visualized, and hence why certain data are visually and what new sights are there to see? In what condition are incomprehensible. the original buildings? In this talk I will briefly revisit some of Klein’s most striking illustrations of the fundamental MAA Invited Address unity of mathematics from high school to the frontiers of research, and then take a look at the current scenery of Creating Symmetry high school mathematics from Klein’s perspective. Frank Farris, Santa Clara University Saturday, August 7, 8:30 am – 9:20 am NAM David Blackwell Lecture A child can create symmetry by repeatedly stamping out a pattern The Riordan Group Revisited: From Algebraic with a cut potato, but a mathematician Structure to RNA enamored of smoothness might Asamoah Nkwanta, prefer to find mathematical objects Morgan State University whose very nature is symmetry. Friday, August 6, 1:00 pm – 1:50 pm A main example of a vibrating The purpose of this talk is to survey wallpaper drum leads to a more general story about an infinite ordered matrix group symmetry that combines everyone’s favorite objects: called the Riordan group. The Fourier series, the Laplacian, and group actions. Riordan group arises in counting problems, combinatorial number theory, and the study of special functions. In this presentation we will focus on the algebraic structure of the group and explore some applications to molecular biology.
7 MAA MathFest 2010
Invited
Adresses ...continued COUNT ON US for the Best in Advanced Mathematics! MAA Invited Address New Editions from Authors You Know
The Mathematics of Math Circles ROSEN LEON Zvezdelina Stankova, Mills College Saturday, August 7, 10:30 am – 11:20 am The creation of math circles in the San Francisco Bay Area started a chain reaction, spreading to California and neighboring states that resulted in over 75 circles in the U.S. and Canada. What is a math circle? Are math circles designed for talented pre-college students or for those who don’t yet know if they like mathematics? Must they concentrate on math contest Elementary Number Theory, Linear Algebra with Applications, preparation or on discovering interesting mathematical Sixth Edition Eighth Edition by Kenneth H. Rosen • © 2011 by Steven J. Leon • © 2010 facts? Could and should circlers be introduced to advanced ISBN-13: 978-0-321-50031-1 ISBN-13: 978-0-13-600929-0 mathematical theories and research? ISBN-10: 0-321-50031-8 ISBN-10: 0-13-600929-8
The answer depends on which U.S. math circle you consider. Born within a day apart in 1998, the Berkeley ROYDEN • FITZPATRICK ARTIN (BMC) and San Jose Math Circles (SJMC) combine all of the above aspects. They attract and train IMO medalists and Putnam winners; but more importantly, they introduce students to beautiful mathematics in inspiring sessions by mathematical stars such as Vladimir Arnold, Elwyn Berlekamp, Robin Hartshorne, Olga Holtz, Ravi Vakil, and Kiran Kedlaya. Are you, as a mathematician, brave, skillful and confident to turn an advanced, even research, topic into a math circle session and deliver it with success? Are such “miracles” possible on a weekly basis? Does this have anything to do with your career as a research Real Analysis, Fourth Edition Algebra, Second Edition mathematician or as a math educator? In this talk, we shall by Halsey Royden and by Michael Artin • © 2011 address these questions and explore several possible paths Patrick Fitzpatrick • © 2010 ISBN-13: 978-0-13-241377-0 ISBN-13: 978-0-13-143747-0 ISBN-10: 0-13-241377-9 of transforming advanced math topics and research into ISBN-10: 0-13-143747-X math circle sessions, by following examples selected from sessions at the BMC and SJMC over the past decade. Find the Title that’s Right for You with
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8 MAA MathFest 2010
Invited Paper Sessions
Visualizing Combinatorics Through Tilings Mathematical Visualization James Sellers, Penn State University Frank Farris, Santa Clara University Thursday, August 5, 1:00 pm – 2:50 pm Saturday, August 7, 1:00 pm – 2:50 pm Speakers: Art Benjamin, Jennifer Quinn, Brigitte Servatius, Speakers: Thomas Banchoff, Frank Farris, Ockle Johnson, and Bruce Sagan and Jonathan Rogness This session complements the Invited Address by Frank Combinatorial Games and Schubert Calculus Farris. Rebecca Goldin, George Mason University Thursday, August 5, 1:00 pm – 4:50 pm The Mathematics of Math Circles and Beyond Friday, August 6, 2:00 pm – 3:50 pm Zvezdelina Stankova, Mills College and UC Berkeley, Director of Berkeley Math Circle Speakers: Bill Graham, Julianna Tymoczko, Frank Sottile, Tatiana Shubin, San Jose State University, Director Milena Pabiniak, Kevin Purbhoo, David Johannsen, of San Jose Math Circle Shrawan Kumar, Tara Holm, Aba Mbirika, Erik Insko, Saturday, August 7, 1:00 pm – 4:20 pm Susan Tolman, and Jennifer Morse Speakers: Inna Zakharevich, Evan O’Dorney, Tiankai Liu, This session complements the Invited Address by Rebecca Ivan Matic, and Gabriel Carroll Goldin. This session complements the Invited Address by Zvezdelina Complex Dynamics: Opportunities for Stankova. Undergraduate Research The Klein Project Dan Look, St. Lawrence University Elizabeth Russell, United States Military Academy William McCallum, University of Arizona Thursday, August 5, 1:00 pm – 5:20 pm Saturday, August 7, 1:00 pm – 4:50 pm Friday, August 6, 3:00 pm – 5:50 pm Speakers: James Madden, Al Cuoco, Hyman Bass, Harriet Speakers: Jeffrey Houghton, Ross Ptacek, John Mayer, Pollatsek, Roger Howe, Susanna Epp, Bill Barton, Sybilla Debra Mimbs, Daniel M. Look, Sarah Koch, Rich Beckmann Stankewitz, Annalisa Crannell, Elizabeth Russell, Lorelei This session complements the James R. Leitzel Lecture. Koss, Clinton Curry, Gareth Roberts, Kendrick White, and An Invitation to Geometric Group Theory Sebastian Marotta Dan Margalit, Tufts University This session complements the Earl Raymond Hedrick Friday, August 6, 1:00 pm – 4:50 pm Lectures. Speakers: Greg Bell, Tara Brendle, Matt Clay, Johanna Mathematical Modeling of the Immune Mangahas, John Meier, Eduardo Martinez Pedroza, Kim Response, Cancer Growth, and Treatments Ruane, and Angela Kubena Ami Radunskaya, Pomona College Saturday, August 7, 1:00 pm – 4:50 pm Speakers: Lisette de Pillis, Peter Hinow, Kasia Rejniak, Doron Levy, Jana Gevertz, Rene Fister, Kara Pham This session complements the Etta Z. Falconer Lecture. Mathematical Neuroscience Jonathan Rubin, University of Pittsburgh Friday, August 6, 1:00 pm – 2:50 pm Speakers: Winfried Just, Jozsi Jalics, Peter Thomas, and Stefanos Folias This session complements the Invited Address by Martin Golubitsky.
For full descriptions of the Invited Paper Sessions go to http://www.maa.org/mathfest. 9 MAA MathFest 2010
Contributed Paper Sessions
The History of Mathematics and Its Uses Effective Practices for Teaching Mathematical in the Classroom Communication Skills Herbert Kasube, Bradley University Russell Goodman, Central College John Lorch, Ball State University Saturday, August 7, 8:30 a.m. – 11:45 a.m. Joanne Peeples, El Paso Community College Session I, Thursday, August 5, 1:00 p.m. – 3:35 p.m. Active Learning Intervention Strategies Session II. Friday, August 6, 8:30 a.m. – 11:45 a.m. Accompanying Introductory Mathematics Courses Math & Bio 2010 in 2010 Catherine Beneteau, University of South Florida Timothy Comar, Benedictine University Helmut Knaust, University of Texas at El Paso Raina Robeva, Sweet Briar College Emil Schwab, University of Texas at El Paso Thursday, August 5, 1:00 p.m. – 5:15 p.m. Gabriela Schwab, El Paso Community College – Rio Grande Campus Open and Accessible Problems in Applied Saturday, August 7, 1:00 p.m. – 4:55 p.m. Mathematics David Housman, Goshen College First Year Seminar/First Year Friday, August 6, 8:30 a.m. – 11:45 a.m Experience Mathematics Courses Jon Johnson, Elmhurst College Getting Students Involved in Writing Proofs Cheryl McAllister, Southeast Missouri State University Session I, Saturday August 7, 8:30 a.m. – 11:45 a.m. Aliza Steurer, Dominican University Jennifer Franko-Vasquez, University of Scranton Session II, Saturday August 7, 1:00 p.m. – 4:55 p.m. Rachel Schwell, Central Connecticut State University Session I, Thursday August 5, 8:50 a.m. – 10:25 a.m. Recreational Mathematics: Session II, Friday August 6, 9:10 a.m. – 11:45 a.m. New Problems and New Solutions Paul R. Coe, Dominican University Geometry Topics That Engage Students Kristen Schemmerhorn, Dominican University Sarah Mabrouk, Framingham State College Saturday, August 7, 1:00 p.m. – 3:15 p.m. Sarah Mabrouk, Framing Ham State College Session I, Friday, August 6, 1:00 p.m. – 4:55 p.m. General Contributed Paper Sessions Session II, Saturday August 1:00 p.m. – 4:15 p.m. Shawnee McMurran, California State University, San Bernardino Suzanne Dorée, Ougsburg College Innovative Ideas for an Introductory Session I, Thursday August 5, 8:30 a.m. – 10:25 a.m. Statistics Course Session II, Thursday August 5, 1:00 p.m. – 5:40 p.m. Nancy Boynton, SUNY Fredonia Patricia Humphrey, Georgia Southern University Session III, Friday August 6, 8:30 a.m. – 11:55 a.m. Michael Posner, Villanova University Session IV, Friday August 6, 8:30 a.m. – 11:55 a.m. Session I, Friday August 6,, 1:00 p.m. – 4:55 p.m. Session V, Friday August 6, 1:00 p.m. – 5:55 p.m. Session II, Saturday August 7, 8:30 a.m. – 11:45 a.m. Session VI, Saturday August 7, 8:30 a.m. – 11:55 a.m. Session VII, Saturday August 7, 8:30 a.m. – 11:55 a.m. Open and Accessible Problems in Number Session VIII, Saturday August 7, 1:00 p.m. – 5:55 p.m. Theory and Algebra Thomas R. Hagedorn, The College of New Jersey For full descriptions of the Contributed Paper Sessions Friday, August 6, 1:00 p.m. – 5:35 p.m go to http://www.maa.org/mathfest.
10 MAA MathFest 2010
11 MAA MathFest 2010
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Panels and other sessions
Panel: The Role of Mentoring in MAA Prize Session Undergraduate Mathematics: Promising Barbara Faires, MAA Secretary Recruitment and Retention Strategies Friday, August 6, 11:30 am – 12:00 noon Sylvia Bozeman, Spelman College Ken Millett, University of California, Santa Barbara Panel: How to Apply for a Job William Velez, University of Arizona David Manderscheid, University of Nebraska Lincoln Thursday, August 5, 1:00 pm – 2:20 pm Friday, August 6, 2:10 pm – 3:30 pm
Workshop: What’s the Story? A Graduate Alder Award Session Student Workshop on Creating a Research David Bressoud, Macalester College, MAA President Presentation for Undergraduates Friday, August 6, 2:15 p.m – 3:05 pm Aaron Luttman, Clarkson University Rachel Schwell, Central Connecticut State University Thursday, August 5, 2:00 pm – 3:20 pm Panel: Celebrating Mathematics and Bio 2010 Raina Robeva, Sweet Briar College Jennifer Galovich, St. John’s University and College Panel: Teaching Mathematics with Tablet of St. Benedict Computers Friday, August 6, 3:40 pm – 5:00 pm Jason Aubrey, University of Missouri Michael B. Scott, California State University -Monterey Bay Panel: Issues for Early Career Mathematicians Thursday, August 5, 2:30 pm – 3:50 pm in Academia Michael Dorff, Brigham Young University MAA Section Officers Meeting Edward Aboufadel, Grand Valley State University Richard A. Gillman, Valparaiso University Friday, August 6, 4:00 pm – 5:20 pm Thursday, August 5, 3:30 pm – 5:00 pm Mathematics Circles Demonstration Panel: Mathematics in Interdisciplinary Tatiana Shubin, San Jose State University Survey Courses Elgin Johnston, Iowa State University Cinnamon Hillyard, University of Washington Bothell James Tanton, St. Mark’s School in Southborough, MA Stuart Boersma, Central Washington University Saturday, August 7, 9:00 am – 10:20 am Thursday, August 5, 3:30 pm – 4:50 pm MAA Business Meeting Poster Session: The Early Career and Graduate David Bressoud, Macalester College, MAA President Students PosterFest at MathFest Saturday, August 7, 11:30 a.m – 12:00 noon Ed Aboufadel, MAA Committee on Early Career Mathematicians Panel: Transforming Undergraduate Education Ralucca Gera, Young Mathematicians’ Network in STEM: Recent Changes at NSF Aaron Luttman, MAA Committee on Graduate Students Thursday, August 5, 3:30 pm – 5:00 pm Saturday, August 7, 1:00 – 2:20 pm Sponsor: MAA Science Policy Committee Workshop: Understanding and Assessing Mathematical Proofs Panel: The Single Mathematician Sean Larsen, Portland State University Georgia Benkart, University of Wisconsin Stacy Brown, Pitzer College Maura Mast, University of Massachusetts Boston Natasha Speer, University of Maine Maeve Lewis McCarthy, Murray State University Thursday, August 5, 3:40 pm – 5:00 pm Saturday, August 7, 3:00 pm – 4:20 pm Math Circles: Transforming (or Subverting) Open Meeting Getting Started with Online Teaching Pre-College Mathematics Doug Ensley, Shippensburg University Tatiana Shubin, San Jose State University Mike May, Saint Louis University Elgin Johnston, Iowa State University James Taylor, Santa Fe Preparatory School, Santa Fe, NM Thursday, August 5, 4:30 pm – 6:00 pm Saturday, August 7, 4:30 pm – 6:00 pm
For full descriptions of Panels and Other Sessions go to http://www.maa.org/mathfest.
13 MAA MathFest 2010
Undergraduate student acitivities
MAA-PME Student Reception MAA undergraduate student Pi Mu Epsilon J. Sutherland Wednesday, August 4, 4:30 pm – 5:30 pm activity: Frame Lecture A Mathematical Tour Incomprehensibility Math Jeopardy of the State of the Planet Nathaniel Dean, Texas State Robert Vallin, Slippery Rock Tom Pfaff, Ithaca College University University and the MAA Friday, August 6, 1:00 pm – 1:50 pm Friday, August 6, 8:00 p.m – 8:50 pm Michael Berry, University of Tennessee MAA Student Paper Sessions MAA Ice Cream Social Wednesday, August 4, 5:30 pm – 6:15 pm J. Lyn Miller, Slippery Rock Friday, August 6, 9:00 pm – 10:00 pm University Student Hospitality Center John Hamman, Montgomery MAA Mathematical Competition Richard and Araceli Neal, College in Modeling (MCM) Winners Daluss Siewert, Black Hills State American Society for the Ben Fusaro, Florida State Communication of Mathematics University Thursday, August 5, 8:30 am – 10:30 am University Thursday, August 5, 9:00 am – 5:00 pm Saturday, August 7, 9:00 am – 10:30 am Friday, August 6, 9:00 am – 5:00 pm and 2:00 pm – 6:15 pm Friday, August 6, 8:30 am – 12:00 am Saturday, August 7, 9:00 am – 1:00 pm Student Problem Solving and 2:00 pm – 5:00 pm Competition MAA Lecture for students: Richard Neal, American Society Faster, Safer, Healthier Pi Mu Epsilon Student Paper for the Communication of with Operations Research Sessions Mathematics Sommer Gentry, United States Angela Spalsbury, Youngstown Saturday, August 7, 1:00 pm – 2:15 pm Naval Academy State University Thursday, August 5, 1:00 pm – 1:50 pm Thursday, August 6, 2:00 pm - 6:15 pm Special Session: Friday, August 7, 8:30 am – 12:00 am Great Talks for a General MAA undergraduate student and 2:00 pm – 5:00 pm Audience: Coached activity: Presentations by Graduate Connecting Digraphs Pi Mu Epsilon Student Banquet Students and Determinants and Awards Ceremony Jim Freeman, Cornell College Jennifer Quinn, University of Friday, August 6, 6:00 pm - 7:45 pm Saturday, August 7, 1:00 pm – 5:30 pm Washington Tacoma Friday, August 6, 1:00 pm – 1:50 pm For full descriptions of the Undergraduate Student Sessions go to http://www.maa.org/mathfest.
Graduate Student Activities
GRADUATE STUDENT WORKSHOP GRADUATE STUDENT Poster How to Apply for a Job What’s the Story? A Graduate Session David Manderscheid, University Student Workshop on Creating The Early Career and Graduate of Nebraska Lincoln a Research Presentation for Students PosterFest at MathFest Friday, August 6, 2:10 pm – 3:30 pm Undergraduates Ed Aboufadel, MAA Committee Aaron Luttman, Clarkson on Early Career Mathematicians Issues for Early Career University Ralucca Gera, Young Mathematicians Rachel Schwell, Central Mathematicians’ Network in Academia Connecticut State University Aaron Luttman, MAA Committee Michael Dorff, Brigham Young Thursday, August 5, 2:00 pm – 3:20 pm on Graduate Students University Thursday, August 5, 3:30 pm – 5:00 pm Edward Aboufadel, Grand Valley State University GRADUATE STUDENT RECEPTION Friday, August 6, 4:10 pm – 5:30 pm For full descriptions of the David Manderscheid, University Graduate Student Sessions go to of Nebraska-Lincoln http://www.maa.org/mathfest. James Freeman, Cornell College Thursday, August 5, 5:00 pm – 6:00 pm
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1DWLRQDO Providing resources to create new Math $VVRFLDWLRQ Circles, maintain a directory of programs, RI0DWK and support the development of the Math &LUFOHV Circle community. 1$0& Our focus is to continue development of the NAMC Website (http://mathcircles.org) What is a which already includes the Circle in a Box wiki, contacts for Math Circles throughout North Math Circle? America, the Math Circle Problem Collection, Mathematicians and a forum for discussion of Math Circles and and mathematical related issues among NAMC members. scientists meet with pre-college students Math Circles Wiki (and sometimes their Topics Include: • What is a Math Circle • History of Math Circles teachers) in informal • National Association of Math Circles • Molding a Math Circle settings to work on • Finding Support • Organizing the Academics • Sustaining Math Circle interesting problems With links to the Circle in a Box book and Within a Circle DVD and topics in mathematics. Math Circle Problem Collection The star of the website. The Collection includes a wide variety of popular Math Circle-type problems These interactions with search capability based on topic, prerequisite, author, and more. excite students about mathematics 0DWK&LUFOH&RPPXQLW\ and provide them with a community to Existing Math Circle Programs More and more math circle programs foster their passion are popping up around the globe – check them all out on our interactive for mathematical map. You can also locate a Math Circle in your area with our worldwide thinking. Math Circles Directory. If your Math Circle isn’t listed, adding your Circle is as easy as 1-2-3! Math Events Competitions and Summer Programs: Looking for fun, motivating and education activities for your Math Circle to attend? The Math Circles Review our list of events, competitions, and summer and national programs. Experience Social Networking The NAMC website will now provide the opportunity for Math Circles connecting Math Circlers across the country. Share your lesson plans, post your favorite emphasize bringing Math Circle problems, and use the site to connect to other Math Circle participants, together professional instructors and directors. mathematicians and secondary school Circle on the Road The annual NAMC Circle on the Road is a Math Circle Workshop students on a combined with a Math Festival with many sample circle sessions for local students and teachers. The Math Circle Workshop that will serve as an introduction to instructional tech- regular basis for niques for circle leaders and a laboratory for circle evaluators. Participating in this workshop problem solving will give the people wishing to start Math Circles a hands-on introduction to appropriate and mathematical Math Circle activities and the benefi t of the advice of experienced circle leaders while devel- exploration. oping a Math Circle. If you aren‘t able to attend Circle on the Road you can still participate with online videos and other program resources made available through the NAMC website.
Mathematical Sciences Research Institute • Shiing-Shen Chern Hall • 17 Gauss Way, Berkeley, CA 94720-5070 • www.msri.org
15 MAA MathFest 2010
W. H. FREEMAN AND COMPANY Solutions for Success
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16 MAA MathFest 2010 sigmaa activities
BIO SIGMAA SIGMAA EM Contributed Paper Session Lecture and Business Meeting Math & Bio 2010 in 2010 Ben Fusaro, Florida State University Timothy Comar, Benedictine University and Speaker: To be announced Raina Robeva, Sweet Briar College Thursday, August 5, 5:30 pm – 7:00 pm Thursday, August 5, 1:00 pm – 5:15 pm POM SIGMAA Panel Discussion Invited Speaker and Reception Celebrating Mathematics and Bio 2010 Structural Proof Theory: Uncovering Raina Robeva, Sweet Briar College, and Jennifer Capacities of the Mathematical Mind Galovich, St. John’s University and the College of Wilfried Sieg, Carnegie Mellon University St. Benedict Thursday, August 5, 5:30 pm – 7:00 pm Friday, August 6, 3:40 pm – 5:00 pm
SIGMAA STAT-ED HOM SIGMAA Contributed Paper Session Contributed Paper Session Innovative Ideas for an Introductory The History of Mathematics and Its Uses Statistics Course in the Classroom Nancy Boynton, SUNY Fredonia; Patricia Humphrey, Herbert Kasube, Bradley University, John Lorch, Georgia Southern University; and Michael Posner, Ball State University, and Joanne Peeples, El Paso Villanova University Community College Friday, August 6, 1:00 pm – 5:00 pm Thursday, August 5, 1:00 pm – 3:55 pm
WEB SIGMAA SIGMAA on Math Circles Panel Discussion Mathematics Circles Demonstration Tatiana Shubin, Elgin Teaching Mathematics with Tablet Computers San Jose State University; Johnston, Iowa State University; and James Tanton, Jason Aubrey, University of Missouri, and Michael St. Mark’s School B. Scott, California State University-Monterey Bay Saturday, August 7, 9:00 am – 10:20 am Thursday, August 5, 2:30 pm – 3:50 pm Invited Paper Session Open Meeting The Mathematics of Math Circles and Beyond Getting Started with Online Teaching Zvezdelina Stankova, Mills College, and Tatiana Doug Ensley, Shippensburg University, and Mike May, Shubin, San Jose State University Saint Louis University Saturday, August 7, 1:00 pm – 4:20 pm Thursday, August 5, 4:30 pm – 6:00 pm Panel Discussion SIGMAA RUME Math Circles: Transforming (or Subverting) Workshop Pre-College Mathematics Understanding and Assessing Tatiana Shubin, San Jose State University, and Mathematical Proofs Elgin Johnston, Iowa State University; Eric Hsu, San Sean Larsen, Portland State University; Stacy Brown, Francisco State University; Jim Lewis, University of Pitzer College; and Natasha Speer, University of Maine Nebraska; William McCallum, University of Arizona; Thursday, August 5, 3:40 pm – 5:00 pm James Tanton, St. Mark’s School; and James Taylor, Santa Fe Preparatory School Saturday, August 7, 4:30 pm – 6:00 pm SIGMAA QL Panel Discussion Mathematics in Interdisciplinary Survey Courses Cinnamon Hillyard, University of Washington Bothell, and Stuart Boersma, Central Washington University Thursday, August 5, 3:30 pm – 4:50 pm
17 MAA MathFest 2010
Minicourses
MINICOURSE #1 or saved as applets used with any java enabled browser. Recruiting Students to Take More Mathematics Sample applets can be found at http://www.slu.edu/classes. Courses and to be Math Majors maymk/GeoGebra/. The minicourse assumes only novice Michael Dorff, Brigham Young University computer skills and covers an introduction to GeoGebra Part 1, Thursday, August 5, 1:00 pm – 3:00 pm up through deploying applets in web pages. We will work Part 2, Friday, August 6, 1:00 pm – 3:00 pm through creating several activities to illustrate features of We will discuss some principles and specific activities the program and to get participants to create their own we have used to increase the number of students taking activities. All participants are expected to bring a laptop mathematics courses and becoming math majors. computer to the minicourse. Principles include creating a culture of “Math is cool!”, MINICOURSE #4 exposing students to careers and opportunities available Effective Placement Testing for Introductory to those who study mathematics, and being proactive College Mathematics Courses in your efforts. Specific activities include a “Careers in Raymond Cannon, Baylor University Mathematics” seminar, a freshman/sophomore class titled Marilyn Carlson, Arizona State University “Intro to being a math major,” the creation of a student Wade Ellis, West Valley College advisory council, a big screen HDTV display with a Louise Krmpotic, Maplesoft PowerPoint presentation about mathematics, a set of math Bernard L. Madison, University of Arkansas James W. Stepp, University of Houston t-shirts, and the “When Will I Use Math” website. Gordon Woodward, University of Nebraska MINICOURSE #2 Part 1, Thursday, August 5, 3:30 pm – 5:30 pm Perspective Viewing and Drawing Part 2, Saturday, August 7, 1:00 pm – 3:00 pm Make Good Math Problems Building on experience from MathFest 2009, this Marc Frantz, Indiana University minicourse will describe and analyze ways to develop Annalisa Crannell, Franklin & Marshall College or modify placement testing programs so that they Part 1, Thursday, August 5, 1:00 pm – 3:00 pm are more effective in placing students into challenging Part 2, Friday, August 6, 1:00 pm – 3:00 pm introductory courses where they can succeed. The topics The execution of the simplest line drawings in perspective will include innovations in item types and cognitive design, can pose math problems that challenge the brightest of the increasingly complex transition testing landscape, students. Nevertheless, the solutions are pleasingly easy structuring a placement program, and available testing to use and remember. The other side of the coin—viewing resources. Both participants who are just beginning a work in perspective from the correct viewpoint—poses placement testing work and those with considerable similarly interesting problems. When applied to viewing experience are welcome. Prior to the minicourse, real artwork (or posters), these techniques lead to an participants will be surveyed as to their expectations of astonishing experience of depth and realism that leaves a the course and their experience with placement testing. lasting impression on viewers. This minicourse conveys Some experienced participants will be invited to share their these techniques through hands-on activities, which the experiences and respond to questions from others. facilitators have taught to over 170 instructors in faculty
development workshops. No artistic experience is required. MINICOURSE #5 MINICOURSE #3 A Game Theory Path to Quantitve Literacy An Introduction to Geogebra, David Housman, Goshen College Rick Gillman, Valparaiso University a Tool for Demonstration, Exploration, Part 1, Friday, August 6, 3:30 pm – 5:30 pm and Applet Creation Part 2, Saturday, August 7, 3:30 pm – 5:30 pm Mike May, S.J., Saint Louis University Part 1, Thursday, August 5, 3:30 pm – 5:30 pm Game Theory, defined in the broadest sense, can be used Part 2, Saturday, August 7, 1:00 pm – 3:00 pm to model many real-world scenarios of decision making in situations involving conflict and cooperation. Further, GeoGebra is an easy to use, free, open source, cross mastering the basic concepts and tools of game theory platform, program that allows users to visualize require only an understanding of basic algebra, probability, and experiment with both algebraic and geometric and formal reasoning. These two features of game theory representations of mathematical concepts. Constructions make it an ideal path to developing habits of quantitative can be used as live demonstration or exploration tools, literacy among our students. This audience participation
18 MAA MathFest 2010
Short Course The MathFest 2010 Short Course is presented in honor of mini-course develops some of the material used by the William F. Lucas. presenters in their general education courses on game theory and encourages participants to develop their own, Two-Day Short Course similar, courses. Hands-On Explorations in Algebra MINICOURSE #6 and Combinatorics Creating Demonstrations and Guided Patrick Bahls, University of North Carolina at Explorations for Multivariable Calculus Using Asheville CalcPlot3D Robert A. Beeler, East Tennessee State University Neil Calkin, Clemson University Paul Seeburger, Monroe Community College Dante Manna, Virginia Wesleyan College Part 1, Friday, August 6, 3:30 pm – 5:30 pm Dan Warner, Clemson University Part 2, Saturday, August 7, 3:30 pm – 5:30 pm Part I: Tuesday, August 3, 9:00 am – 5:00 pm It is often difficult for students to develop an accurate and Part II: Wednesday, August 4, 9:00 am – 5:00 pm intuitive understanding of the geometric relationships of In recent years, a new piece of mathematical software calculus from static diagrams alone. This course explores a has appeared on the scene: Sage (www.sagemath.org) is collection of freely available Java applets designed to help an open source package capable of doing high-powered students make these connections. Our primary focus will symbolic and numerical computations. It features a web- be visualizing multivariable calculus using CalcPlot3D, a based notebook interface, local or remote operation, and versatile new applet developed by the presenter through can interact with other packages, both open source and NSF-DUE-0736968. Participants will also learn how to commercial (if available). In this short course we will customize this applet to create demonstrations and guided introduce the package, giving multiple examples of how to exploration activities for student use. Images created in use it for mathematical explorations, both elementary and this applet can be pasted into participants’ documents. advanced. We will focus on algebraic and combinatorial See http://web.monroecc.edu/calcNSF/. Some basic HTML investigations. experience is helpful. All participants are expected to bring a laptop computer to the minicourse. The course will consist of seven presentations and a final panel discussion. The first two sessions will focus on using Sage. The next five sessions will start with a problem or collection of problems in discrete mathematics and explore the topic with the assistance of the more advanced tools MAA Publications in Sage. Each of these sessions will end with a period of guided exploration by the participants. The closing session will focus on the questions: “What have we learned?” and “Where do we go from here?”
Topics covered in this short course include: • Introduction to Sage Neil Calkin and Daniel Warner • Elementary Mathematics with Sage Neil Calkin and Daniel Warner Stop by the MAA Booth for a book signing • Exploring Combinatorial Group Theory with Underwood Dudley, Problem of the Day Patrick Bahls contests, Prizes and More! • Generating Functions and Sage Robert A. Beeler `qe`ee_UepeupqmPLXC`LeumecğXPpXc}euppPVXqtpCtXecmCL_Pt • Benoulli Convolutions Neil Calkin • Combinatorial Games and Symmetry MATHEMATICAL ASSOCIATION OF AMERICA Daniel Warner • Generalizing the Bernoulli and Euler Polynomials Dante Manna
19 MAA MathFest 2010
Biomathematics at MathFest 2010
MAA Invited Address Invited Paper Session Mathematics Motivated by Biology Mathematical Neuroscience Martin Golubitsky, Ohio State University Jonathan Rubin, University of Pittsburgh Thursday, August 5, 9:30 am – 10:20 am Friday, August 6, 1:00 pm – 2:50 pm
AWM–MAA Etta Z. Falconer Lecture Contributed Paper Session Mathematical Challenges in the Math & Bio 2010 in 2010 Treatment of Cancer Timothy Comar, Benedictine University Ami Radunskaya, Pomona College Raina Robeva, Sweet Briar College Friday, August 6, 8:30 am – 9:20 am Thursday, August 5, 1:00 pm – 5:15 pm
NAM David Blackwell Lecture Panel Discussion The Riordan Group Revisited: Celebrating Mathematics and Bio 2010 From Algebraic Structure to RNA Raina Robeva, Sweet Briar College Asamoah Nkwanta, Morgan State University Jennifer Galovich, St. John’s University Friday, August 6, 1:00 pm – 1:50 pm and the College of St. Benedict Friday, August 6, 3:40 pm – 5:00 pm MAA Lecture for Students Presentation of Janet L. Andersen Awards Faster, Safer, Healthier with Operations Research Friday, August 6, 6:00 pm – 8:00 pm and 9:00 pm – 10:00 pm Sommer Gentry, United States Naval Academy These awards are for outstanding student presentations Thursday, August 5, 1:00 pm – 1:50 pm related to mathematical or computational biology.
Invited Paper Session For full descriptions of the Biomathematics Sessions Mathematical Modeling of the Immune go to http://www.maa.org/mathfest. Response, Cancer Growth, and Treatments Ami Radunskaya, Pomona College Saturday, August 7, 1:00 pm – 4:50 pm
20 MAA MathFest 2010
Exhibitors
• A+ Compass • Cambridge • Make Textbooks Affordable A+ Compass designs, produces and Cambridge’s publishing in books and Make Textbooks Affordable is a markets math education tools and journals combines state-of-the-art non-profit student campaign to materials. We are also distributors content with the highest standards of reduce textbook costs by promoting for a small number of select products scholarship, writing and production. affordable alternatives like open-access from other sources. Our primary Visit our stand to browse new titles, textbooks. The campaign is a project of products are whiteboard compasses, available at a 20% discount, and to pick the Student PIRGs, which is a national magnetic straightedges, large magnetic up sample issues of our journals. Visit network of state-based student groups protractors, LASER cut puzzles and our website to see everything we do: that work to solve problems related to demonstrations and graphing boards. www.cambridge.org/us/. the environment, consumer protection, We also produce templates for use and government reform. www. • Division of Undergraduate Education, with document cameras and overhead studentpirgs.org/open-textbooks National Science Foundation projectors. Visit our website at www. • Maplesoft– 2010 Sponsor apluscompass.com and contact us NSF’s goals—discovery, learning, via the website. research infrastructure and Maplesoft offers a collection of testing stewardship—provide an integrated • A K Peters – 2010 Sponsor solutions which can free schools from strategy to advance the frontiers the cost, effort, and limitations of A K Peters, Ltd. is a leading of knowledge, cultivate a world- paper-and-pencil assessment. Drawing independent, scientific-technical class, broadly inclusive science and on the power of Maple, web-based publisher specializing in mathematics, engineering workforce and expand solutions from Maplesoft make it physics, computer graphics, and the scientific literacy of all citizens, easy to deliver meaningful tests on computer games. A K Peters has build the nation’s research capability any subject involving mathematical over 300 titles in print and publishes through investments in advanced content. Through an exciting approximately 25-30 new titles instrumentation and facilities, and partnership with the MAA, Maplesoft annually, including four journals. support excellence in science and brings you the Maple TA MAA Recent releases include Origami engineering research and education Placement Test Suite. For all of your Polyhedra Design, Leonhard Euler through a capable and responsive other math, engineering and science and the Bernoullis, Bright Boys, organization. Within the NSF, the testing and assessment requirements, Understanding Real Analysis, Division of Undergraduate Education’s try Maple T.A. Both solutions bring Differential Geometry of Curves mission is to promote excellence in the power of Maple into your testing and Surfaces, and many more. Stop undergraduate science, technology, and assessment program. by our booth and save 20%! engineering, and mathematics (STEM) education for all students. • AMS Website: http://www.nsf.gov/div/index. The American Mathematical Society jsp?org=DUE . publishes books, journals (electronic • Hawkes Learning Systems – 2010 Sponsor and print), and MathSciNet-the Mathematical Reviews Database. Discover the advantages of interactive Our top-tier research publications software created by a company that span the entire spectrum of pure and has been specializing in mathematics applied mathematics for professionals, for over 30 years. Hawkes Learning graduate students, and advanced Systems (HLS) promotes grade undergraduates. For more information improvement and motivates students or to purchase AMS publications, go to by engaging them in the learning www.ams.org/bookstore. process. Students learn more effectively through tutorials, unlimited practice, mastery-based homework, and error-
specific feedback. HLS is the solution for your students’ success!
21 MAA MathFest 2010
Exhibitors
• Math for America– 2010 Sponsor in exploration, inquiry and analysis. • Pearson Finally, it familiarizes students with Founded in 2004, Math for America (MƒA) Educating more than 100 million the ever-changing body of research is a private nonprofit organization with people worldwide, Pearson is the literature related to learning and teaching a mission to improve math education global leader in education publishing. mathematics and contemporary in US public secondary schools. With With such renowned imprints as research methodologies. sites in Boston, Los Angeles, New Addison-Wesley and Prentice Hall, York City, San Diego and Washington, PhD and Master’s Degrees offered. Pearson provides quality mathematics DC, MƒA recruits, trains and retains education solutions in all available outstanding mathematics teachers. Apply online http://www.graduate.ucr. media. MƒA offers Fellowships for both new edu/Admtoc.html • Rational Reasoning, LLC and experienced teachers, including • National Association of Math Circles— the MƒA Fellowship, which aims to 2010 Sponsor Rational Reasoning markets research- increase the number of mathematically based mathematics materials for talented individuals entering the The National Association of Math students and instructors. The texts teaching profession, as well as the Circles provides a community for Math are designed to help all students MƒA Early Career Fellowship and Circles and similar programs via a acquire the foundational knowledge MƒA Master Teacher Fellowship, website http://mathcircles.org. This fun to continue studying mathematics. which support outstanding and interactive website includes The curricular materials are based mathematics teachers already in a database of Math Circles worldwide, on research on knowing and the classroom. Visit http://www. a wiki started by Sam Vandervelde’s learning mathematics and have been mathforamerica.org Circle in a Box Math Circle book, repeatedly studied and revised to a Math Circle Problem and Lesson • Mathematics Department at the University assure their effectiveness. An online Collection, as well as a developing of California, Riverside text accompanies each bounded text. forum for discussion of Math Circle Videos, animations and check your The Mathematics Department at related ideas. Visit our booth to learn understanding tasks are included to University of California, Riverside is more or attend one of the SIGMAA- engage students in the deep thinking, one of the few Math departments in the MCST sessions to learn more about reflection and practice necessary country that offers diversity in research, Math Circles. for learning new ideas. Procedures small hands-on classes and the unique and skills can also be reviewed • National Security Agency opportunity to learn from some of the and practiced online with students most prominent mathematicians. The National Security Agency/ receiving instant results and Central Security Service (NSA/CSS) detailed solutions. The cumulative experiences of our is home to America’s codemakers mathematics program prepares and codebreakers. The National Teacher support tools accompany each graduates to enter top mathematics Security Agency has provided timely Rational Reasoning text. Conceptually education programs, to take on information to U.S. decision makers focused worksheets with solutions important leadership roles in and military leaders for more than and teacher notes pose problems and mathematics education communities, half a century. questions to help students develop and enter classrooms better equipped essential understandings and critical to teach lessons that encourage deeper NSA/CSS is unique among the connections. Powerpoint slides with mathematical thinking. U.S. defense agencies because of our detailed teacher notes and linked government-wide responsibilities. animations help novice and expert At UCR, our graduate studies program NSA/CSS provides products and teachers provide lively and coherent emphasizes strong interaction with services to the Department of Defense, lectures. A professional development faculty in order to gain maximum the Intelligence Community, website accompanies each text and benefit from course work. First, government agencies, industry includes classroom videos of teachers it allows students to explore new partners, and select allies and coalition implementing our materials. Visit mathematical understanding in partners. In addition, we deliver critical RationalReasoning.net. both personal and social contexts. strategic and tactical information Secondly, it immerses students deeply to war planners and war fighters.
22 MAA MathFest 2010
Exhibitors
• Springer •W.H. Freeman & Company here exhibiting our revolutionary, multimedia calculus textbooks: Stop by the Springer booth and browse W.H. Freeman & Company publishes Worldwide Differential Calculus and and over 1,000 books! Our new touch- high-quality textbooks and media Worldwide Integral Calculus. These screen technology lets you browse titles in mathematics and statistics. Visit textbooks are produced as PDFs, with a single touch. It not only lets you booth #18 to learn more about which allow us to hyperlink all of the view an entire book online, it also lets our titles, including the successful cross-references in the books, put in you order it as well. It’s as easy as 1-2-3. Rogawski Calculus, COMAP For pop-up margin comments, and embed All Practical Purposes 8/e, and four • Texas Instruments videos at the beginning of each section new titles: Sowder Reconceptualizing that actually teach the student the Mathematics, Moore Essential Statistics, Supporting educators’ passion content of that section; in essence, our Larose Discovering Statistics: Brief for teaching, TI’s research-based textbooks are electronic versions of Version, and Kokoska Introductory technology for instruction and courses. Please stop by our booth (#34) to Statistics. Demonstrations will also assessment, curricular materials and check out our interactive exhibit where be provided of our innovative media professional development combine you can try the books out for yourself! to provide essential elements for and online homework systems, greater student achievement in math including CalcPortal, MathPortal, • xyAlgebra and science. The TI-Nspire™ learning and StatsPortal, as well as our new xyAlgebra is a completely free Algebra handhelds and computer software StatClips tutorial videos. I software package. Solutions can be build on proven graphing technology • Wiley entered step-by-step, not just as short and further enable students to explore final answers. xyAlgebra responds multiple representations of concepts Founded in 1807, John Wiley & Sons, intelligently to each step by suggesting on a single screen. The TI-Navigator™ Inc. is an independent, global publisher appropriate next steps for any solution classroom learning system engages of print and electronic products. Wiley method, flagging incorrect steps and each student and provides real-time Higher Education publishes for a broad reviewing appropriate prerequisite(s). assessment of student understanding. range of post secondary education Intelligent responses are even available Visit education.ti.com. with leading programs in the Sciences, at each step of verbal problems. Business, Technology and the Social • WebAssign– 2010 Sponsor xyAlgebra configuration options Sciences. Wiley’s Internet Site can be include initial placement, instruction, accessed at http://www.wiley.com. WebAssign, the independent online unlimited practice, periodic testing homework and assessment solution, • Worldwide Center of Mathematics and distance learning. Please stop continues to innovate. New math tools at Booth 17 for a demo. for 2010 include the calcPad answer The Center of Math was founded in palette and an interactive numberline. 2008 by David B. Massey, an award- With pre-coded questions from 200 winning professor with 26 years of leading math titles from every major collegial teaching experience, and a publisher, WebAssign makes online leading research mathematician in homework easy. Stop by our booth the field of singularities. We currently to learn more. offer a host of multimedia products Website: www.webassign.net and services that help us to enrich and enhance the lives of scholars, students, and the community at large through the increased dissemination of mathematical knowledge. We are
23 MAA MathFest 2010 Tuesday/Wednesday/thursday
timetable
Tuesday, August 3
9:00am-5:00pm, Allegheny 6:00-7:00pm, Conference C Short Course Short Course Reception Hands-On Explorations in Algebra and Combinatorics
Wednesday, August 4
9:00am-5:00pm, Allegheny 6:00-7:30pm, William Penn Ballroom Short Course Grand Opening and Reception Hands-On Explorations in Algebra and Combinatorics 7:30-9:30pm, Grand Ballroom 4:30-5:30pm, Sky Opening Banquet MAA-PME Student Reception MC: James Sellers, Penn State University
5:30-6:15pm, Urban Seeing Mathematics Speaker: Jonathan Rogness, University of Minnesota Math Jeopardy Organizers: Robert Vallin, MAA and Michael Berry, University of Tennessee
Thursday, August 5
8:30-9:20am, Grand Ballroom 8:50-10:25am, Monongahela MAA Invited Address Contributed Paper SESSION An Attempt to Turn Geometry into (Decorated) Graphs Getting Students Involved in Writing Proofs, Session 1 Rebecca Goldin, George Mason University Organizers: Aliza Steurer, Dominican University; Jennifer Franko- Vasquez, University of Scranton; and Rachel Schwell, Central 8:30-10:30am, Conference B Connecticut State University MAA Student Paper Session #1 8:50-9:05am 8:30-10:30am, Conference C Elements of Style for Proofs MAA Student Paper Session #2 Anders O.F. Hendrickson, Concordia College
8:30-10:25am, Phipps 9:10-9:25am MAA Student Paper Session #3 Involving Students in Proof Writing with Peer Review Penelope Dunham, Muhlenberg College 8:30-10:25am, Oliver 9:30-9:45am MAA Student Paper Session #4 Learning Proof-Writing: Applying English Composition 8:30-10:25am, Carnegie III Pedagogical Strategies to Undergraduate Mathematics Betseygail Rand, Texas Lutheran University MAA Student Paper Session #5 9:50-10:05am 8:30-10:25am, Three Rivers Learning from my students: a personal experience with the MAA Student Paper Session #21 Moore Method Organizers: J. Lyn Miller, Slippery Rock University; John Hamman, Patrick Rault, SUNY Geneseo Montgomery College; and Daluss Siewert, Black Hills State University 10:00-10:10am The Role of Quantitative and Covariational Reasoning in Trigonometry Curriculum Kevin Charles Moore, Arizona State University - RIMSE 10:15-10:25am Aspects of a Neoteric Approach to Advance Students’ Ability to Conjecture, Prove, or Disprove Padraig McLoughlin, Kutztown University of Pennsylvania
24 Thursday(continued) MAA MathFest 2010
9:00-10:25 am, Sky 1:00-2:50 pm, Monongahela General Contributed Paper Session #1 Invited Paper Session Organizers: Kyle Riley, South Dakota State of Mines and Technology Visualizing Combinatorics through Tilings and Barbara Margolius, Cleveland State University Organizer: James Sellers, Penn State University 9:00-9:10am 1:00-1:20pm Categorizing Musical Pieces by Their Correlation Coefficients Combinatorial Trigonometry Ilhan M. Izmirli, George Mason University Art Benjamin, Harvey Mudd College 9:15-9:25am 1:30-1:50pm A Mathematical Tour of Robotics Linear Recurrences Involve Weighted Tilings Kyle Riley, SD School of Mines & Technology Jennifer Quinn, University of Washington
9:30-9:40am 2:00-2:20pm Flash applets for WeBWorK online homework system Stalking the Wild Fibonomial Barbara Margolius, Cleveland State University Bruce Sagan, Michigan State University and NSF; Carla Savage, North Carolina State University 9:45-9:55am 2:30-2:50pm Some Highs and Lows Using WeBWorK Throughout the Calculus Curriculum Symmetry, automorphisms, and self-duality of infinite planar Geoffrey Dietz, Gannon University graphs and tilings Brigitte Servatius, Worcester Polytechnic Institute 10:00-10:10am 1:00-3:00pm, Keystone/Doubletree The Role of Quantitative and Covariational Reasoning in Trigonometry Curriculum Minicourse #1 Part 1 Kevin Charles Moore, Arizona State University-RIMSE Recruiting Students to Take More Mathematics Courses and to be Math Majors 10:15-10:25am Presenter: Michael Dorff, Brigham Young University Applied Maple Projects in Linear Algebra 1:00-3:00pm, Erie/Doubletree Jason Molitierno, Sacred Heart University Minicourse #2 Part 1 9:00am-5:00pm, Sternwheeler Perspective Viewing and Drawing Make Good Math Problems Student Hospitality Center Presenters: Marc Frantz, Indiana University and Annalisa Organizers: Richard and Araceli Neal, American Society for the Crannell, Franklin & Marshall College Communications of Mathematics 1:00-3:35pm, Frick 9:30-10:20am, Grand Ballroom Contributed Paper Session MAA Invited Address The History of Mathematics and Its Uses in the Mathematics Motivated by Biology Classroom Session 1 Martin Golubitsky, Ohio State University Organizers: Herbet Kasube, Bradley University; John Lorch, Ball State University; and Joanne Peeples, El Paso Community College 10:30-11:20am, Grand Ballroom Earl Raymond Hedrick Lecture I 1:00-1:15pm The Fractal Geometry of the Mandelbrot Set Bringing Mr. Jefferson into the Classroom Robert L. Devaney, Boston University Jim Tattersall, Providence College 1:00-1:50pm, Grand Ballroom 1:20-1:35pm MAA Lecture for STUDENTS Formulating Figurate Numbers Faster, Safer, Healthier with Operations Research Janet Beery, University of Redlands Sommer Gentry, United States Naval Academy 1:00-2:20pm, Urban 1:40-1:55pm Panel Lessons from reading Clavius The Role of Mentoring in Undergraduate Mathematics: Promising Anders O.F. Hendrickson, Concordia College Recruitment and Retention Strategies Organizers: Sylvia Bozeman, Spelman College; Ken Millett, 2:00-2:15pm University of California Santa Barbara; and William Velez, Light through a window: evidence of Muslim mathematics in University of Arizona Spanish colonial missions of San Antonio? Panelists: Sylvia Bozeman, Spelman College; Michelle Craddock, US Rachel Cywinski Military Academy; Rebecca Garcia, Sam Houston State University; and William Velez, University of Arizona
25 MAA MathFest 2010 Thursday(continued)
2:20-2:35pm 1:00-5:15pm, Three Rivers Math Set in Stone: Famous Stones in the History of Math Contributed Paper SESSION Doy Ott Hollman, Lipscomb University Math & Bio 2010 in 2010 Organizers: Timothy Comar, Bendictine University and Raina 2:40-2:55pm Robeva, Sweet Briar College Teaching Introductory Analysis in Its Historical Setting 1:00-1:15pm Robert Rogers, SUNY Fredonia Connecting First-Year Students to Current Trends in 3:00-3:15pm Mathematical Biology Talitha M. Washington, University of Evansville The Cubic Controversy Charlie Smith, Park University 1:20-1:35pm 3:20-3:35pm Connecting the disciplines through writing assignments in a calculus course for biology majors The Heavens and the Scriptures in the Eyes of Johannes Kepler Florence Newberger, California State University, Long Beach Dale L. McIntyre, Grove City College 1:40-1:55pm 1:00-4:50pm, Conference A On Becoming Indepent Problem Solvers in Biocalculus Invited Paper Session Courses Combinatorial Games and Schubert Calculus, Session 1 Timothy Comar, Benedictine University Organizer: Rebecca Goldin, George Mason University 2:00-2:15pm 1:00-1:20pm Math, our Community and Civic Engagement - a SENCER Poset pinball and Schubert calculus based Approach Julianna Tymoczko, University of Iowa; Megumi Harada, Urmi Ghosh-dastidar, NYCCT, CUNY McMaster University 2:20-2:35pm 1:30-1:50pm Mathematics of Life A tableaux rasa talk on affine Schubert calculus and Theodore Theodosopoulos, Saint Ann’s School Macdonald polynomials Jennifer Morse, Drexel University 2:40-2:55pm 2:00-2:20pm Ten Equations that changed how I teach Biomathematics Maeve Lewis McCarthy, Murray State University Localization and specialization in equivariant cohomology Milena Pabiniak, Cornell University 3:00-3:15pm 2:30-2:50pm A hitchhiker’s guide to data assimilation in the ecological sciences Eigencone, saturation and Horn problems for symplectic and John Zobitz, Augsburg College odd orthogonal groups Shrawan Kumar, University of North Carolina 3:20-3:35pm 3:00-3:20pm Using Virtual Laboratory Experiments to Motivate Mathematical Models in Biology Divisibility, tori, and the moment polytope Glenn Ledder, University of Nebraska-Lincoln David Johannsen, George Mason University 3:40-3:55pm 3:30-3:50pm Something Like a New Sense: The Biological ESTEEM Ideals of symmetric functions and a possible application to Collection: Part I cohomology Anton Weisstein, Truman State University Aba Mbirika, Bowdoin College 4:00-4:15pm 4:00-4:20pm Something Like a New Sense: The Biological ESTEEM Relative Lie algebra cohomology and the Belkale-Kumar Collection: Part II product Gretchen A. Koch, Goucher College William Graham, University of Georgia 4:20-4:35pm 4:30-4:50pm The Mathbio Wiki: a module resource and educational tool Schubert-type formulas for Hamiltonian manifolds Rebecca Vandiver, Bryn Mawr College Susan Tolman, University of Illinois
26 Thursday(continued) MAA MathFest 2010
4:40-4:55pm 1:00-5:55pm, Sky Modeling Uncertainty: Challenges and Opportunity in General Contributed Paper Session Undergraduate Biomathematics Research Assesment, Teaching Communication, and Outreach Matthew Glomski, Marist College Organizers: Anne Albert, University of Findlay; Jeff Hildebrand, Georgia Gwinnett College; Monika Vo, St. Leo University; Jeff Clark, 5:00-5:15pm Elon College; Betsy Yanik, Emporia State University; and John Frohliger, St. Norbert College Undergraduate Research Projects in DNA Microarray Data Analysis 1:00-1:10pm Darlene Olsen, Norwich University Assessment - Required; Worthwhile? - Yes! 1:00-5:20 pm, Allegheny Anne G. Albert, The University of Findlay Invited Paper Session 1:15-1:25pm Complex Dynamics: Opportunities for Undergraduate Research Session 1 Designing an assessment program for a mathematics major. Organizers: Dan Look, St. Lawrence University and Elizabeth Jeff Hildebrand, Georgia Gwinnett College Russell, United States Military Academy 1:30-1:40pm 1:-00-1:20pm The Mathematics Seminar and Program Assessment at a Small Undergraduate explorations in complex dynamics Liberal Arts College Rich Stankewitz, Ball State University Jeffery D. Sykes, Ouachita Baptist University 1:30-1:50pm 1:45-1:55pm The Complex Dynamics of Rational Maps A Capstone Course for Mathematics Majors Elizabeth Russell, United States Military Academy Ronald M. Brzenk, Hartwick College 2:00-2:20pm 2:00-2:10pm Iterating Elliptic Functions A summer interdisciplinary model of service learning for First Lorelei Koss, Dickinson College Year Seminar Zdenka Guadarrama, Rockhurst University 2:30-2:50pm 2:15-2:25pm Fibonacci plays the chaos game Sebastian Marotta, University of the Pacific Senior Projects in Computational Mathematics with MATLAB at the University of Houston-Downtown 3:00-3:20pm Timothy A. Redl, University of Houston-Downtown Matings of Polynomials 2:30-2:40pm Sarah Koch, Harvard University Developing Mathematical Thinking and Communication 3:30-3:50pm Skills through Guided Discovery Learning in Modern Algebra Molli R. Jones, Immaculata University From Julia sets to laminations William Bond, University of Alabama- Birmingham 2:45-2:55pm 4:00-4:20pm The Developmental Discussion in the Mathematics Classroom: Let’s Do It Together Pullback Laminations Sarah L. Mabrouk, Framingham State College John Mayer, University of Alabama Birmingham 3:00-3:10pm 4:30-4:50pm Undergraduate Research and LaTeX Critical Leaf Configurations for 3 Jeffrey Clark, Elon University Debra Mimbs, University of Alabama Birmingham 3:15-3:25pm 5:00-5:20pm Using “jigsaw” presentations to develops student Useful Tools in the Study of Laminations communication skills Jeffrey Houghton, University of Alabama Birmingham Diana White, University of Colorado Denve 3:30-3:40pm WAC - Writing Across the Curriculum in Mathematics classes Monika Vo, Saint Leo University
27 MAA MathFest 2010 Thursday(continued)
3:45-3:55pm 2:00-3:55pm, Carnegie III Auditory Mathematics: Podcasting as Mathematics Outreach MAA Student Paper Session #8 Samuel Hansen, University of Nevada, Las Vegas/ACMEScience Organizers: J. Lyn Miller, Slippery Rock University; John Hamman, Montgomery College; and Daluss Siewert, Black Hills State 4:00-4:10pm University Differentiated Instruction and Gender: the Illinois College 2:00-3:55pm, Oliver Science and Math Learning Collaborative Patricia Kiihne, Illinois College Pi Mu Epsilon Student Paper Session #1 4:15-4:25pm 2:00-3:55pm, Phipps How To Get More Underrepresented Minority Students in Pi Mu Epsilon Student Paper Session #2 Mathematics Related Fields Organizer: Angela Spalsbury, Youngstown State University Senan Hayes, Western Connecticut State University 2:30-3:50pm, Grand Ballroom 4:30-4:40pm Panel Outreach programs for Hispanic Students Teaching Mathematics with Tablet Computers Elizabeth Yanik, Emporia State University Organizers: Jason Aubrey, University of Missouri and Michael B. Scott, California State University Monterey Bay Panelists: Andrew G. Bennett, Kansas State University; Lila Roberts, 4:45-4:55pm Clayton State University; Marilyn A. Reba, Clemson University; St. Norbert College’s Natural Science PRIDE Program and Maria Anderson, Muskegon Community College John Frohliger, St. Norbert College 3:30-5:00pm, Urban 5:00-5:10pm MAA Section Officers Meeting Texas A&M Summer Educational Enrichment (SEE-Math) for Organizer: Rick Gillman, Valparaiso University Middle School Students: The Use of Technology Philip B. Yasskin, Texas A&M University 3:30-4:50pm, Monongahela Panel 5:15-5:25pm Mathematics in Interdisciplinary Survey Courses Top Ten Mathematical Topics that Undergraduates in Organizers: Cinnamon Hillyard, University of Washington Bothell Mathematics should Master and Stuart Boersma, Central Washington University Aloysius B. Kasturiarachi, Kent State University at Stark Panelists: Maura Mast, University of Massachusetts Boston; Mike Pinter, Belmont University; Robert Root, Lafayette College; 5:30-5:40pm Alexandre Barchechat, University of Washington Bothell; and Nancy Kool, University of Washington Bothell Effects of Staggered Lunch Periods on Geometry Students at an Inner-City High School 3:30-5:30pm, Sternwheeler Kristel Ehrhardt, University Maryland Baltimore County The Early Career and Graduate Students PosterFest at MathFest 5:45-5:55pm Organizers: Ed Aboufadel, MAA Committee on Early Career Where is a Mathematically Competent Teacher Candidate? Mathematicians; Ralucca Gera, Young Mathematicians’ Network; Kazuko Ito West, Keio Academy of New York and Aaron Luttman, MAA Committee on Graduate Students 2:00-3:20pm, Bob Hope 3:30-5:30pm, Keystone/Doubletree A Graduate Student Workshop on Creating a Minicourse #3 Part 1 Research Presentation for Undergraduates An Introduction to GeoGebra, a Tool for Demonstration, What’s the story? Exploration, and Applet Creation Organizers: Aaron Luttman, Clarkson University, and Rachel Presenter: Mike May, S.J., Saint Louis University Schwell, Central Connecticut State University 3:30-5:30pm, Erie/Doubletree 2:00-3:55pm, Conference B Minicourse #4 Part 1 MAA Student Paper Session #6 Effective Placement Testing for Introductory College Mathematics Courses 2:00-3:55pm, Conference C Presenters: Bernard Madison, University of Arkansas; Raymond Cannon, Baylor University; Marilyn Carlson, Arizona State MAA Student Paper Session #7 University; Wade Ellis, West Valley College; Louise Krmpotic, Microsoft; James W. Stepp, University of Houston; and Gordon Woodward, University of Nebraska
28 Thursday(continued)/Friday MAA MathFest 2010
3:40-5:00pm, Bob Hope 4:30-6:00pm, Frick Workshop WEB SIGMAA Open MEETING Understanding and Assessing Mathematical Proofs Getting Started with Online Teaching Organizers: Sean Larsen, Portland State University; Stacy Brown, Organizers: Doug Ensley, Shippensburg University, and Mike May, Pitzer College; and Natasha Speer, University of Maine Saint Louis University Presenters: Keith Weber, Rutgers University, and Evan Fuller, Montclair State University 5:00-6:00pm, Balcony, Grand Ballroom Graduate Student Reception 4:20-6:15pm, Conference B Organizers: David Manderscheid, University of Nebraska Lincoln MAA Student Paper Session #9 and James Freeman, Cornell College 4:20-6:15pm, Conference C 5:30-7:00pm, Allegheny MAA Student Paper Session #10 SIGMAA EM Lecture and Business Meeting Organizer: Ben Fusaro, Florida State University 4:20-6:15pm, Carnegie III Speaker: James H. Case “Free Trade and the Environment” MAA Student Paper Session #11 Organizers: J. Lyn Miller, Slippery Rock University; John Hamman, 5:30-7:00pm, Monongahela Montgomery College; and Daluss Siewert, Black Hills State POM SIGMAA Invited Speaker and Reception University “Structural Proof Theory: Uncovering Capacities of the Mathematical Mind” 4:20-6:15pm, Phipps Speaker: Wilfried Sieg, Carnegie Mellon University Pi Mu Epsilon Student Paper Session #3
4:20-6:15pm, Oliver Pi Mu Epsilon Student Paper Session #4 Organizer: Angela Spalsbury, Youngstown State University
Friday, August 6
8:00-8:25am, Grand Ballroom AWM-MAA Morning Coffee 9:50-10:05am Rethinking the way we teach Point-Set Topology 8:30-9:20am, Grand Ballroom Nicholas A Scoville, Ursinus College AWM-MAA Etta Z. Falconer Lecture The Mathematical Challenges in the Treatment of Cancer 10:10-10:25am Ami Radunskaya, Pomona College The Benefits of Primary Sources in an ODE class. Adam Edgar Parker, Wittenberg University 8:30-11:45am, Allegheny Contributed Paper Session 10:30-10:45am The History of Mathematics and Its Uses in the Classroom The ordered pair: how its history and philosophy has Session 2 pedagogical importance in teaching mathematics Organizers: Herbet Kasube, Bradley University; John Lorch, Ball Jeff Buechner, Rutgers Univ-Newark State University; and Joanne Peeples, El Paso Community College
8:30-8:45am 10:50-11:05am The other curves of Agnesi Ciphering to the Rule of Three and the Evolution of Teaching Antonella Cupillari, Penn State Erie Proportion Deana Deichert, University of Central Florida 11:10-11:25am 8:50-9:05am Using the History of Divergent Series to Motivate Discussions about Series Convergence Deduction Through the Ages: Teaching Elementary Logic via Shawnee L. McMurran, California State University San Primary Historical Sources Bernardino; Jim Tattersall, Providence College Jerry Lodder, New Mexico State University 9:10-9:25am 11:30-11:45am Using The History of Mathematics in a Basic Statistics Course Euclid’s Neglected Postulate Pat Touhey, Misericordia University Jeff Johannes, SUNY Geneseo 9:30-9:45am History and Mathematics in Cryptology Charles Rocca, Western Connecticut State University
29 MAA MathFest 2010 Friday(continued)
8:30-11:45am, Conference A 8:30-11:25am, Sky Contributed Paper SESSION General Contributed Paper Session Open and Accessible Problems in Applied Mathematics Calculus Organizers: David Houseman, Goshen College, and Lynette Boos, Organizers: Stephen Davis, Davidson College; Stephen Kokoska, Providence College Bloomsburg University of Pennsyvania; Paul Seeburger, Monroe Community College; and Susan Wildstrom, Montgomery County 8:50-9:05am Public Schools A Mathematical Modeling of Glassy-winged Sharpshooter 8:30-8:40am Population in the Texas Vineyards Jeong-Mi Yoon, University of Houston-Downtown AP Calculus: Facts, Figures, and FAQs, I Stephen Davis, Davidson College 9:10-9:25am 8:45-8:55am Mathematical Modeling of Solute Transfer during Hemodialysis Session AP Calculus: Facts, Figures, and FAQs (II) Kodwo Annan, Minot State University Stephen Kokoska, Bloomsburg University 9:30-9:45am 9:00-9:10am An Applied Mathematician Visits the Navier-Stokes Equations What to do on Day One in Calculus One Ricardo Sanchez, DRC Data Recognition Corporation Thomas McMillan, University of Arkansas at Little Rock 9:50-10:05am 9:15-9:25am Homotopy Analysis Method: Analytical Solutions for the 21st Calculus Consultants Century Linda McGuire, Muhlenberg College Antonio Mastroberardino, Penn State Erie 9:30-9:40am 10:10-10:25am Engaging Projects for Problem-Based Learning in Calculus So You Think You Can Add? The Summed Behavior of Guang-Chong Zhu, Lawrence Technological University Nonlinear Systems Robert Rovetti, Loyola Marymount University 9:45-9:55am 10:30-10:45am Early Vector Calculus: A Path Through Third-Semester Calculus Tangling and Untangling DNA Bob Robertson, Drury University Junalyn Navarra-Madsen, Texas Woman’s University 10:00-10:10am 10:50-11:05am Resequencing Calculus: An Early Multivariate Approach Graph Theory Takes on International Terrorism David Dwyer, University of Evansville in the United States Pamela Kay Warton, The University of Findlay 10:15-10:25am 11:10-11:25am Helping Students Make Sense of Multivariable Functions: A Case Study Zipf’s Distribution in “Gadsby” Eric Weber, Arizona State University Guang-Chong Zhu, Lawrence Technological University 10:30-10:40am 11:30-11:45am Playing with Multivariable Calculus Concepts Wearing 3D Four Lower Division Student Research Topics: Preliminary Glasses Materials from UCI’s Interdisciplinary Computational Applied Paul Seeburger, Monroe Community College Mathematics Program (iCamp) Sarah Elizabeth Eichhorn, UC Irvine 10:45-10:55am Homework Helpers–Using MAPLE in a Multivariable Calculus Course Susan Wildstrom, Walt Whitman High School 11:00-11:10 am Using Gateway Exams in Calculus I Teena Carroll, St. Norbert College 11:15-11:25 am Is Your Integral Zero? Kenneth Luther, Valparaiso University
30 Friday(continued) MAA MathFest 2010
8:30-11:55 am, Frick 11:30-11:40 General Contributed Paper Session Reforming Developmental Mathematics at the College and Teaching Introductory Mathematics I High School Level Organizers: Carol Vobach, University of Houston; Michael Miner, Sue R. Beck, Morehead State University American Military University; Natalya Vinogradovak, Plymouth State University; and Sue Beck, Montgomery County Public Schools 11:45-11:55pm 8:30-8:40am Preparatory Assignments: Changing Students’ Attributions, Motivations & Epistemic Beliefs An Examination of Student Attitudes in a Business Statistics Allen Gregg Harbaugh, Seattle Central Community College Course Deborah J. Gougeon, University of Scranton 8:30-11:55am, Conference B MAA Student Paper Session #12 8:45-8:55am Community Engagement in an Applied Statistics Course 8:30-11:55am, Conference C Carol Vobach, University of Houston Downtown MAA Student Paper Session #13
9:00-9:10am 8:30-11:55am, Carnegie III Effective Ideas to Engage Repeating Developmental MAA Student Paper Session #14 Mathematics Students Gowribalan Vamadeva, University of Cincinnati 8:30-11:55am, Three Rivers 9:15-9:25am MAA Student Paper Session #22 Organizers: J. Lyn Miller, Slippery Rock University; John Hamman, Current Events Friday Montgomery College; and Daluss Siewert, Black Hills State Kira Hamman, Penn State Mont Alto University 9:30-9:40am 8:30-10:55am, Phipps Increase Success Using Stories That Teach Mathematics Pi Mu Epsilon Student Paper Session #5 Susan Lea Beane, University of Houston-Downtown 8:30-10:55am, Oliver 9:45-9:55am Pi Mu Epsilon Student Paper Session #6 Gateways Ensuring Mathematics Mastery Organizer: Angela Spalsbury, Youngstown State University Dan Hrozencik, Chicago State University 9:00am-5:00pm, Sternwheeler 10:00-10:10am Student Hospitality Center Introducing Online Resources to College Algebra Students in Organizers: Richard and Araceli Neal, American Society for the Online Classes Communications of Mathematics Michael Miner, American Public University System 9:10-11:45am, Monongahela 10:15-10:25am Contributed Paper SESSION Quantitative Reasoning Getting Students Involved in Writing Proofs, Session 2 Darcel Ford, Strayer University Organizers: Aliza Steurer, Dominican University; Jennifer Franko- Vasquez, University of Scranton; and Rachel Schwell, Central 10:30-10:40am Connecticut State University Questioning the Questions of Liberal Arts Math Students 9:10-9:25am Kayla Bradley Dwelle, Ouachita Baptist University Student Proofs: Points of Entry in Developmental & 10:45-10:55am Precalculus Math Courses Allen Gregg Harbaugh, Seattle Central Community College Rigor, Error, and Humor in the Mathematics Classroom Christian Constanda, University of Tulsa 9:30-9:45am 11:00-11:10am A Proof a Day keeps the Red Pen Away Jennifer Gorman, Kutztown University Show me the formula Natalya Vinogradova, Plymouth State University 9:50-10:05am 11:15-11:25am Introduce Students to Their First Proofs Yun Lu, Kutztown University of PA Success in Face-to-Face versus Online Finite Mathematics Class 10:10-10:25am David Shoenthal, Longwood University Proof Writing Activities in Abstract Algebra Violeta Vasilevska, The University of South Dakota
31 MAA MathFest 2010 Friday(continued)
10:30-10:45am 2:00-2:20pm Growing Proof-Writing Skills Throughout the Undergraduate Stimulus-driven Traveling Waves in a Neuronal Model (Majors’) Curriculum Jozsi Jalics, Youngstown State University; G. Bard Ermentrout, Bonnie Gold, Monmouth University University of Pittsburgh; Jonathan Rubin, University of Pittsburgh 10:50-11:05am 2:30-2:50pm Writing Proofs in Undergraduate Mathematics Courses Joyati Debnath, Winona State University Synchronization of Noisy Integrate and Fire Neurons Peter Thomas, Case Western Reserve University 11:10-11:25am 1:00-3:00pm, Keystone/Doubletree Improving Proof Writing by Increasing Confidence, Communication, and Understanding Minicourse #1 Part 2 Molli R. Jones, Immaculata University Recruiting Students to Take More Mathematics Courses and to be Math Majors 11:30-11:45am Presenter: Michael Dorff, Brigham Young University
Successful Strategies for Getting Students Involved in Proof 1:00-3:00pm, Erie/Doubletree Writing at Multiple Levels. Kathleen Shannon, Salisbury University Minicourse #2 Part 2 Perspective Viewing and Drawing Make Good Math Problems 9:30-10:20am, Grand Ballroom Presenter: Marc Frantz, Indiana University, and Annalisa Crannell, Franklin & Marshall College Earl Raymond Hedrick Lecture II Exponential Dynamics and Topology 1:00-4:50pm, Conference A Robert L. Devaney, Boston University Invited Paper Session 10:30-11:20am, Grand Ballroom Geometric Group Theory Organizer: Dan Margalit, Tufts University James R. Leitzel Lecture Exploring School Mathematics with Felix Klein 1:00-1:20pm William McCallum, University of Arizona Free Group Stretching Exercise 11:30am-12:00noon, Grand Ballroom Matt Clay, Allegheny College MAA Prize Session 1:30-1:50pm 1:00-1:50pm, Urban Ping-Pong for Free Groups MAA Undergraduate Student Activity Johanna Mangahas, University of Michigan Connecting Digraphs and Determinants Jennifer Quinn, University of Washington 2:00-2:20pm Groups and Trees: Action! 1:00-1:50pm, Monongahela Angela K. Kubena, University of Michigan MAA Undergraduate Student Activity A Mathematical Tour of the State of the Planet 2:30-2:50pm Tom Pfaff, Ithaca College Examples of CAT(0) Groups Kim Ruane, Tufts University 1:00-1:50pm, Grand Ballroom NAM David Blackwell LECTURE 3:00-3:20pm The Riordan Group Revisited: From Algebraic Structure to RNA Dehn Functions of Groups Asamoah Nkwanta, Morgan State University Eduardo Martinez-Pedroza, McMaster University
1:00-2:50pm, Allegheny 3:30-3:50pm Invited Paper Session Mapping class groups: where algebra meets topology Mathematical Neuroscience Tara Brendle, University of Glasgow Organizer: Jonathan Rubin, University of Pittsburgh 1:00-1:20pm 4:00-4:20pm Introduction to asymptotic dimension Exploring a simple discrete model of neuronal networks Greg Bell, University of North Carolina Winfried Just, Ohio University 1:30-1:50pm 4:30-4:50pm What’s at the End of an Infinite Group? Spatially-localized synchronous oscillations in neuronal John Meier, Lafayette College networks Stefanos Folias, University of Pittsburgh
32 Friday(continued) MAA MathFest 2010
1:00-4:15pm, Three Rivers 1:00-4:55pm, Frick Contributed Paper Session Contributed Paper SESSION Innovative Ideas for an Introductory Statistics Course Session 1 Geometry Topics That Engage Students, Session 1 Organizers: Nancy Boynton, SUNY Fredonia; Patricia Humphrey, Organizer: Sarah Mabrouk, Framingham State College Georgia Southern University; and Michael Posner, Villanova University 1:00-1:15pm 1:00-1:15pm Activities to Enliven a Course on Euclidean and non-Euclidean Geometries Y’all Ready For This? The First Night of Stats Class! Sarah J. Greenwald, Appalachian State University Michael Miner, American Public University System 1:20-1:35pm 1:20-1:35pm Finite Geometries and Games Using the Wolfram Demonstrations Project to Illustrate Kay Ellen Smith, Saint Olaf College Elementary Statistical Concepts Jeff Hamrick, Rhodes College 1:40-1:55pm 1:40-1:55pm Excursions on the Sphere Kristen Schemmerhorn, Dominican University Analyzing Real Biomedical Data Using Scientific Writing and TI Calculators 2:00-2:15pm Magdalena Luca, Massachusetts College of Pharmacy and Health Sciences Engaging Students in Learning about Scaling Davida Fischman, CSU San Bernardino 2:00-2:15pm 2:20-2:35pm Popular Media and Introductory Statistics Karen Sue Briggs, North Georgia College & State University Geometric Art and Algebraic Surfaces Ivona Grzegorczyk, California State University Channel Islands 2:20-2:35pm 2:40-2:55pm An Outbreak of Outliers Sue McMillen, Buffalo State College Projective Geometry-Visualizing proofs and interpretations in Euclidean Space 2:40-2:55pm Xiaoxue Hattie Li, Emory & Henry College Interdisciplinary Statistics Projects: Competitive Cross 3:00-3:15pm Curriculum Projects in Statistics Nathan Shank, Moravian College Non-euclidean geometry across the ‘7th grade / major’ spectrum 3:00-3:15pm Jack Mealy, Austin College Authentic Discovery Experiences and Student-Centered 3:20-3:35pm Statistical Research Projects Robb Sinn, North Georgia College & State University A Feuerbach Refresher Len Smiley, University of Alaska Anchorage 3:20-3:35pm 3:40-3:55pm What’s in your wallet? Analyzing dollar bills to reinforce statistical concepts An inquiry-based approach to middle-level geometry for Brian Hollenbeck, Emporia State University preservice secondary teachers Diana White, University of Colorado Denver 3:40-3:55pm 4:00-4:15pm Putting the Inferential back in Introductory Statistics: A randomization approach Developing Visualization Skills through an Exploration of Vicki-Lynn Holmes, Hope College; Brooke Quisenberry, Hope Platonic Solids Using Technology and Traditional Method College Cheryll Elizabeth Crowe, Eastern Kentucky University 4:00-4:15pm 4:20-4:35pm Probability with the Survivor Function and Expected Informal Geometry for Aspiring TV/Film Directors and Value Games K-8 Educators Annela Kelly, Roger Williams University Lucy Dechene, Fitchburg State College
4:40-4:55pm, Reuse, Recycle, Re-Ceva Martha Waggoner, Simpson College
33 MAA MathFest 2010 Friday(continued)
1:00-5:15pm, Bob Hope 1:00-5:55pm, Sky Contributed Paper SESSION General Contributed Paper Session Open and Accessible Problems in Number Theory and Algebra Pure Mathematics Organizer: Thomas R. Hagedorn, The College of New Jersey Organizers: Anita Mareno, Penn State University; Adam Coffman, Indiana University-Purdue University Fort Wayne; Sayel Ali, 1:00-1:15pm Minnesota State University Moorhead; Chris Moseley, Calvin College; Benselamonyuy Ntatin, Austin Peay State University; and Catalan’s Factorial Problem Norman Johnson, Wheaton College Thomas Koshy, Framingham State College 1:00-1:10pm 1:20-1:35pm Maximum Principles and Higher-order partial differential Mapping the Discrete Logarithm equations Joshua Holden, Rose-Hulman Institute of Technology Anita Mareno, Penn State Harrisburg
1:40-1:55pm 1:15-1:25pm Interesting Problems in Apollonian Circle Packings Michael “Cap” Khoury, University of Michigan The unresolved Kadison-Singer Problem and its implications. Srilal Krishnan, Iona College 2:00-2:15pm 1:30-1:40pm Number derivatives: A treasure trove of undergraduate research projects On Quasi-Cauchy Sequences Michael Krebs, California State University, Los Angeles Huseyin Cakalli, Maltepe University
2:20-2:35pm 1:45-1:55pm On Conjugacies of the 3x+1 Map Induced by Continuous An order-preserving property of additive invariants for Endomorphisms of the Shift Dynamical System Takesue-type reversible cellular automata Benjamin Kraft, Liberty High School Gianluca Caterina, Endicott College 2:40-2:55pm 2:00-2:10pm Open Questions About Compositions Brian Hopkins, Saint Peter’s College Glaeser’s inequality on an interval Adam Coffman, Indiana University - Purdue University Fort 3:00-3:15pm Wayne Some accessible problems mostly involving sequences Sam Northshield, SUNY Plattsburgh 2:15-2:25pm Verblunsky Coefficients for Paraorthogonal Polynomials on 3:20-3:35pm the Unit Circle Polytopes, Polynomials, and String Theory Brian Simanek, California Institute of Technology Ursula Whitcher, Harvey Mudd College 2:30-2:40pm 3:40-3:55pm Taylor Polynomials positive on the Real Line Conjugating matrices to get uniform diagonals Alan Horwitz, Penn State University Michael Nathanson, St. Mary’s College of California 2:45-2:55pm 4:00-4:15pm The Phi-Ratio Test Absolute Length in Triangle Groups Sayel Ali, Minnesota state university Moorhead; Marion Brian Drake, Grand Valley State University Deutsche Cohen, Arcadia University, PA 4:20-4:35pm 3:00-3:10pm Tabulating Irreducible Polynomials over Finite Fields How Rare is Independence? Andrew Shallue, Illinois Wesleyan University John Patrick Coleman, Franciscan University of Steubneville 4:40-4:55pm 3:15-3:25pm The Probability of Relatively Prime Polynomials Geometry of control systems with drift in (Z/pkZ)[x] Christopher G. Moseley, Calvin College Thomas Hagedorn, The College of New Jersey 3:30-3:40pm 5:00-5:15pm Introductory Frame Theory Is the Square Root of 2 Rational? Papiya Bhattacharjee, Penn State Erie, The Behrend College Mu-Ling Chang, University of Wisconsin-Platteville
34 Friday(continued) MAA MathFest 2010
3:45-3:55pm 2:00-3:55pm, Conference B Sum of terms of periodic continued fractions MAA Student Paper Session #15 Brad Emmons, Utica College 2:00-3:55pm, Conference C 4:00-4:10pm MAA Student Paper Session #16 Combinatorial Interpretations of Convolutions of Catalan Numbers. 2:00-3:55pm, Carnegie III Steven J. Tedford, Misericordia University MAA Student Paper Session #17 Organizers: J. Lyn Miller, Slippery Rock University; John Hamman, 4:15-4:25pm Montgomery College; and Daluss Siewert, Black Hills State Proving Fibonacci Identities Using Generating Functions University Eric M. Werley, Lehigh University 2:00-3:55pm, Phipps 4:30-4:40pm Pi Mu Epsilon Student Paper Session #7 Sequences of Rationals from Games Paul D. Olson, Penn State Erie 2:00-3:55pm, Oliver Pi Mu Epsilon Student Paper Session #8 4:45-4:55pm Organizer: Angela Spalsbury, Youngstown State University The Collatz Conjecture and the 2-adic Integers Ryan Stuffelbeam, Transylvania University 2:10-3:30pm, Urban Panel 5:00-5:10pm How to Apply for a Job Organizer: David Manderscheid, University of Nebraska Lincoln Basic systems of integral octonions Panelists: Tricia Brown, Armstrong Atlantic State University; James Norman W. Johnson, Wheaton College (Mass.) Freeman, Cornell College; David Manderscheid, University of Nebraska; and Joanne Peeples, El Paso Community College 5:15-5:25pm On Orbits of Semi-simple Lie Groups acting on 2:15-3:05pm, Grand Ballroom Flag Manifolds Alder Award Session Benselamonyuy Ntatin, AustinPeay State University David Bressoud, MAA President Speakers: Kathleen Fowler, Clarkson University, and Nathan Carter, 5:30-5:40pm Bentley University Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups 3:00-5:50pm, Allegheny Shrawan Kumar, University of North Carolina Invited Paper Session Complex Dynamics: Opportunities for Undergraduate Research 5:45-5:55pm Session 2 Organizers: Dan Look, St. Lawrence University, and Elizabeth Complex Numbers in Plane Geometry Russell, United States Military Academy Chris Frenzen, Naval Postgraduate School 2:00-3:50pm, Monongahela 3:00-3:20pm Invited Paper Session Parameter spaces for some slices of cubics Combinatorial Games and Schubert Calculus, Session 2 Clinton Curry, Stony Brook University Organizer: Rebecca Goldin, George Mason University 3:30-3:50pm 2:00-2:20pm Dynamics of Cubic Siegel Laminations Geometry of Jeu de Taquin Ross Ptacek, University of Alabama Birmingham Kevin Purbhoo, University of Waterloo 4:00-4:20pm 2:30-2:50pm Degeneracy of Cubic Pull-Back Laminations Schubert Calculus and the Cohomology Ring of the Kendrick White, University of Alabama Birmingham; John Peterson Variety Mayer, University of Alabama Birmingham; Lex Oversteegen, Erik Insko, University of Iowa University of Alabama-Birmingham 3:00-3:20pm 4:30-4:50 Galois groups for Schubert problems Elusive Zeros Under Newton’s Method Frank Sottile, Texas A&M Gareth Roberts, College of the Holy Cross 3:30-3:50pm Equivariant topology for Hamiltonian torus actions on symplectic orbifolds Tara Holm, Cornell University
35 MAA MathFest 2010 Friday(continued)
5:00-5:20pm 4:20-6:15pm, Conference B Fibonacci Harps and a Shift of Finite Type MAA Student Paper Session #18 Annalisa Crannell, Franklin and Marshall College 4:20-6:15pm, Conference C 5:30-5:50pm MAA Student Paper Session #19 Introduction to Complex Dynamics via Multiple Circle Inversions 4:20-6:15pm, Carnegie III Daniel M. Look, St. Lawrence University MAA Student Paper Session #20 Organizers: J. Lyn Miller, Slippery Rock University; John Hamman, 3:30-5:30pm, Keystone/Doubletree Montgomery College; and Daluss Siewert, Black Hills State Minicourse #5 Part 1 University A Game Theory Path to Quantitative Literacy Presenters: David Housman, Goshen College, and Rick Gillman, 4:20-6:15pm, Phipps Valpraiso University Pi Mu Epsilon Student Paper Session #9
3:30-5:30pm, Erie/Doubletree 4:20-6:15pm, Oliver Minicourse #6 Part 1 Pi Mu Epsilon Student Paper Session #10 Creating Demonstrations and Guided Explorations for Organizer: Angela Spalsbury, Youngstown State University Multivariable Calculus using CalcPlot3D Presenter: Paul Seeburger, Monroe Community College 6:00-7:45pm, Urban Pi Mu Epsilon Student Banquet and 3:40-5:00pm, Grand Ballroom Award Ceremony Panel Celebrating Mathematics and Bio 2010 8:00-8:50pm, Grand Ballroom Organizers: Raina Robeva, Sweet Briar College, and Jennifer Galovich, St. John’s University Pi Mu Epsilon J. Sutherland Frame Lecture Panelists: Lester Claudill, University of Richmond; Carole Hom, Incomprehensibility University of California Davis; Aminul Huq, Department of Nathaniel Dean, Texas State University Mathematics; Kelsey Metzger, Department of Biology University of Minnesota Rochester; and Randall Pruim, Calvin 9:00-10:00pm, Monongahela College MAA Ice Cream Social 4:00-5:20pm, Monongahela Panel Issues for Early Career Mathematicians in Academia Organizers: Michael Dorff, Brigham Young University, and Edward Aboufadel, Grand Valley State University Panelists: Michael Bolt, Calvin College; James Sellers, Penn State University; and Dana Ernst, Plymouth State University
36 Saturday MAA MathFest 2010
saturday, August 7
8:30-9:20am, Grand Ballroom 9:10-9:25am Invited Address Mathematical Communication Skills in Undergraduate Creating Symmetry Curriculum Frank Farris, Santa Clara University Joyati Debnath, Winona State University
8:30-11:05am, Conference A 9:30-9:45am Contributed Paper SESSION Communicating Statistically Innovative Ideas for an Introductory Statistics Course, Session 2 Kim Roth, Juniata College Organizers: Nancy Boynton, SUNY Fredonia; Patricia Humphrey, Georgia Southern University; and Michael Posner, Villanova 9:50-10:05am University Bridges from Math to English 8:30-8:45am Benjamin Galluzzo, Shippensburg University Examples of data collection using clickers 10:10-10:25am Paul Taylor, Shippensburg University Preparing students to communicate technical information 8:50-9:05am Lew Ludwig, Denison University Happyville and Statistical Thinking 10:30-10:45am Kevin Scott Robinson, Millersville University of Pennsylvania First-Year Introduction to Communications 9:10-9:25am Charles Rocca, Western Connecticut State University; David Burns, Western Connecticut State University A Hole in One: Using Miniature Golf in an Introductory Statistics Course 10:50-11:05am Patrick Gorman, Kutztown University Using Wikis and Journals to Increase Communication in 9:30-9:45am Mathematics Courses Jennifer Franko Vasquez, The University of Scranton; Steven T. Exploring Linear Regression with Bouncing Balls Dougherty, The University of Scranton Dean Nelson, University of Pittsburgh at Greensburg 11:10-11:25am 9:50-10:05am Conversational Mathematics: Fostering Mathematical A Matched Pairs Study Involving Proportions Communication Skills and Thinking in Introductory Courses Chris Oehrlein, Oklahoma City Community College Martha Allen, Georgia College & State University; Blair T. Dietrich, Georgia Military College 10:10-10:25am Exploring Probabilities Through Simulations with Pigs 11:30-11:45am Lanee Young, Fort Hays State University Real Analysis on the Road to Mathematical Maturity Emily Elizabeth Puckette, University of the South 10:30-10:45am Martin vs. Westvaco: Honors Statistics Mock Trial 8:30-11:55am, Sky Sarah L. Mabrouk, Framingham State College General Contributed Paper Session Graph Theory and Geometry 10:50-11:05am Organizers: Rebecca Gera, Naval Postgraduate School; Hollie Benford’s Law, a growth industry Buchanan, West Virginia University; Jack Mealy, Austin College; Kenneth A. Ross, MAA and Kevin Ferland, Bloomsburg University of Pennsylvania 8:30-11:45am, Three Rivers 8:30-8:40am Contributed Paper SESSION Functigraphs: A generalization of permutation graphs Effective Practices for Teaching Mathematical Ralucca M. Gera, Naval Postgraduate School Communication Skills Organizer: Russell Goodman, Central College 8:45-8:55am A (2n-2) regular Graph on 2n+1 Vertices Admits a 8:30-8:45am Hamiltonian Decomposition Strategies for Improving Writing by Cultivating Metacognition Hollie L. Buchanan, West Liberty University Tessa Weinstein, Coastal Carolina University 9:00-9:10am 8:50-9:05am Covering powers of cycles by equivalence graphs Initial Experiences with Case Studies Robin Blankenship, Morehead State University Brian Kelly, Bryant University
37 MAA MathFest 2010 Saturday(continued)
9:15-9:25am 9:00-9:10am On antimagic labelings of graphs Readiness Assessment, Course Placement, and Effective Michael D. Barrus, Black Hills State University Course Redesign through Introductory Calculus Alison Ahlgren, University of Illinois 9:30-9:40am 9:15-9:25am The uplift principle and the Riordan group Louis Shapiro, Howard University Mathematics Department Redesigning Algebra in the Classroom: Using Assessment to Drive Instruction 9:45-9:55am Mike Hall, Arkansas State University Group Divisible Designs with Block Size Six and First and 9:30-9:40am Second Associates Melanie Laffin, Michigan Technological University Pixie Sines: Viewing y = sin(50x) through the “Wrong” Windows on the TI-84+ 10:00-10:10am Andy Martin, Kentucky State University A Modification of Sylvester’s Four Point Problem 9:45-9:55am Rosemary Sullivan, West Chester University Use of Online Homework System in Teaching Mathematics 10:15-10:25am Yun Lu, Kutztown University of PA Constructing hyperbolic-like systems via Snell Geometry 10:00-10:10am Jack Mealy, Austin College The Math Dimension: A Centralized Mathematics Tutoring 10:30-10:40am Center Gina Monks, Pennsylvania State University Exploring Relationships Within Families of Triangles Via Reperesentation Spaces 10:15-10:25am G. Gerard Wojnar, Frostburg State University A Calculus-oriented Inquiry Based Learning approach to 10:45-10:55am teach a PreCalculus course Rama Rao, University of North Florida Generalizing the Pythagorean Theorem and Its Proof Kevin Ferland, Bloomsburg University 10:30-10:40am 11:00-11:10am Mathematical Habits of Mind: Teaching Students How to Think Mathematically Rep-tiling the trapezoid Marshall Gordon, Park School of Baltimore Leon Brin, Southern CT State University 10:45-10:55am 11:30-11:40 First-Year Mathematics at USMA: Modeling in a Real and Undergraduate Research Projects on Hextile Knot Mosaics Complex World Robin Blankenship, Morehead State University David Arney, United States Military Academy 11:45-11:55am 11:00-11:10am Interrelating tumors and fractals Models and Not Models--College Algebra and the Real World Timothy Atabong Agendia, Madonna University Okija, Elele Saleem Watson, California State University, Long Beach Campus (Nigeria) 11:15-11:25am 8:30-11:55am, Frick General Contributed Paper Session Poetry, games and art activities in algebra classroom Ivona Grzegorczyk, California State University Channel Islands Teaching Introductory Mathematics II Organizers: J. Bradford Burkman, Louisiana School for Math; Science and the Arts, Alison Ahlgren, University of Illinois; Ivona 11:30-11:40am Grzegorczyk, California State University Channel Islands; and Mary Two Kinds of College Algebra for Two Kinds of Students Walkins, Lee University Beverly K. Michael, University of Pittsburgh 8:30-8:40am 11:45-11:55am Choosing Exercises for Well-Rounded Problem Sets Using Critical Thinking Skills in College Algebra J Bradford Burkman, Louisiana School for Math, Science, and Mary B. Walkins, Lee University the Arts 9:00-10:20am, Monongahela 8:45-8:55am Mathematics Circles Demonstration Implementation of web-based skill tests for Pre-calculus, Organizers: Tatiana Shubin, San Jose State University; Elgin Calculus I and Calculus II Johnston, Iowa State University; and James Tanton, St. Mark’s Lynne Yengulalp, University of Dayton School
38 Saturday(continued) MAA MathFest 2010
9:00-10:30am, Urban 1:00-2:15pm, Lawrence Welk MAA Mathematical Competition in Modeling Student Problem Solving Competition (MCM) Awards Ceremony Organizers: Richard and Araceli Neal, American Society for the Organizer: Ben Fusaro, Florida State University Communications of Mathematics 9:00am-1:00pm, Sternwheeler 1:00-2:20pm, Carnegie III Student Hospitality Center Transforming Undergraduate Education in Richard and Araceli Neal, American Society for the STEM: Recent Changes at NSF Communications of Mathematics Sponsored by MAA Science Policy Committee. Panelists: Joan Ferrini-Mundy, National Science Foundation; Jim Lewis, 9:30-10:20am, Grand Ballroom University of Nebraska-Lincoln; Dan Maki, University of Indiana- Earl Raymond Hedrick Lecture III Bloomington. Moderator: Jason Miller, Truman State University.
Sierpinski Galore Robert L. Devaney, Boston University 1:00-2:50pm, Urban Invited Paper Session 9:30-11:45am, Allegheny Mathematical Visualization Contributed Paper SESSION Organizer: Frank Farris, Santa Clara University First Year Seminar/ First Year Experience Mathematics Courses Session 1 1:00-1:20pm Organizers: Jon Johnson, Elmhurst College, and Cheryl McAllister, How to See Normal and Tangential Euler Numbers for a Southeast Missouri State University 2-Surface in 4-Space Thomas Banchoff, Brown University 9:30-9:45am First Year Seminar Voting Theory Course at TCNJ 1:30-1:50pm Karen Clark, The College of New Jersey Lissajous Spheres: Twisted Spheres in 4-Space Frank Farris, Santa Clara University 9:50-10:05am Freshmen, Problem Solving, and the Unknown Audience 2:00-2:20pm Matthew Menzel, Marietta College Visualizing the Normal Euler Class for Polyhedral Surfaces in 4-Space 10:10-10:25am Ockle Johnson, Keene State College The Art of Mathematical Thinking Lew Ludwig, Denison University 2:30-2:50pm Flying through 3-Manifolds 10:30-10:45am Jonathan Rogness, University of Minnesota A Course on the Mathematics of Numb3rs Sarah Elizabeth Eichhorn, UC Irvine 1:00-3:00pm, Keystone/Doubletree Minicourse #3 Part 2 10:50-11:05am An Introduction to GeoGebra, a Tool for Demonstration, Exploration, and Applet Creation A Model of a First-Year Seminar Integrated with a College Presenter: Mike May, S.J., Saint Louis University Algebra Course Joyce Cutler, Framingham State College 1:00-3:00pm, Erie/Doubletree 11:10-11:25am Minicourse #4 Part 2 Effective Placement Testing for Introductory College Reluctantly Creating a Mathematics First Year Seminar Mathematics Courses David Marshall, Monmouth University Presenters: Bernard Madison, University of Arkansas; Raymond Cannon, Baylor University; Marilyn Carlson, Arizona State 11:30-11:45am University; Wade Ellis, West Valley College; Louise Krmpotic, “Equation” as a Metaphor for Life in a Two Cultures Class Microsoft; James W. Stepp, University of Houston; and Gordon Steven B. Zides, Wofford College Woodward, University of Nebraska
10:30-11:20am, Grand Ballroom MAA Invited Address The Mathematics of Math Circles Zvezdelina Stankova, Mills College 11:30am-12:00noon, Grand Ballroom MAA Business Meeting David Bressoud, MAA President
39 MAA MathFest 2010 Saturday(continued)
1:00-3:15, Conference B 3:00-3:20pm Contributed Paper SESSION Collaborative Strategies in Multi-Player Mathematical Games Recreational Mathematics: New Problems and New Solutions Ivan Matic, University of California, Berkeley Organizers: Paul R. Coe, Dominican University, and Kristen Schemmerhorn, Dominican University 3:30-4:00pm 1:00-1:15pm Math Circles and Research Mathematics: Gaps, Bridges, and Successes Withdrawn - No Presentation Panel discussion: nine past/present math circlers will share their stories. 1:20-1:35pm Tantrix and the Permutahedron 1:00-3:35pm, Three Rivers Heidi Burgiel, Bridgewater State College; Mahmoud El-Hashash, Contributed Paper SESSION Bridgewater State College First Year Seminar/ First Year Experience Mathematics Courses Session 2 1:40-1:55pm Organizers: Jon Johnson, Elmhurst College, and Cheryl McAllister, Southeast Missouri State University A Non Random Dice Rolling Game Ryan Mullen, Sacred Heart University 1:00-1:15pm 2:00-2:15pm A First Year Seminar on Cryptography Darren Glass, Gettysburg College Exploring Prime Decades Less Than Ten Billion Jay Lawrence Schiffman, Rowan University 1:20-1:35pm 2:20-2:35pm An interdisciplinary first seminar on symmetry Tamara Lakins, Allegheny College Title: Randomness and Patterns in the Digits of Squares Roger Bilisoly 1:40-1:55pm 2:40-2:55pm An Interdisciplinary First Year Experience in Mathematics and Music Theory Symmetry vs. Economy in Dissections of Squares and Cubes Emily Helen Sprague, Edinboro University of PA Greg N. Frederickson, Purdue University 2:20-2:35pm 3:00-3:15pm Culture, Science, and Mathematics in the Pre-Columbian Oodles and Oodles of Googols; Iterations of the Words to Americas Numbers Function Ximena Catepillan, Millersville University of Pennsylvania Matthew Coppenbarger, Rochester Institute of Technology 2:40-2:55pm 1:00-4:00pm, Monongahela Invited Paper Session Four Different Experiences Jeff Johannes, SUNY Geneseo The Mathematics of Math Circles Organizers: Zvezdelina Stankova, Mills College, and Tatiana Shubin, San Jose State University 3:00-3:15pm FYS: Cryptologic Mathematics 1:00-1:20pm Timothy John McDevitt, Elizabethtown College How to Allocate Indivisible Objects to People Gabriel Carroll, MIT 3:20-3:35pm Teaching a First Year Seminar on STEM Breakthroughs and 1:30-1:50pm Controversies Sarah J. Greenwald, Appalachian State University Hilbert’s Third Problem for All Ages Inna Zakharevich, MIT 3:20-3:35pm 2:00-2:20pm Balancing Numerous Goals in a Mathematics FYS - My Penn State Experience The Dynamics of Continued Fractions James Sellers, Penn State University Evan O’Dorney, Berkeley Math Circle 2:30-2:50pm Modern Perspectives on Classical Geometry Tiankai Liu, MIT
40 Saturday(continued) MAA MathFest 2010
1:00-4:20pm, Conference A 2:40-2:55pm Invited Paper Session On Drawing Stuff Mathematical Modeling of the Immune Response, Cancer Mark Schwartz, Ohio Wesleyan University Growth and Treatments Organizer: Ami Radunskaya, Pomona College 3:00-3:15pm 1:00-1:20pm A Golden Graph Sam Northshield, SUNY Plattsburgh Modeling the Immune Response to Cancer Lisette de Pillis, Harvey Mudd College 3:20-3:35pm 1:30-1:50pm Origami and Symmetric Colorings of the Platonic Solids Lisa Mantini, Oklahoma State University Can Mathematics Cure Leukemia? Doron Levy, University of Maryland 3:40-3:55pm 2:00-2:20pm Using Biology to Teach Geometry: Protein Structure Tessellations in Matlab Optimal Control Scenarios in Cancer Dynamics Majid Masso, George Mason University Renee Fister, MAA 4:00-4:15pm 2:30-2:50pm Nearest Neighbors: Mathematics and Geography A Spatial Model of Tumor-Host Interaction: Application of Leon Hannah Tabak, Cornell College Chemotherapy Peter Hinow, University of Wisconsin 1:00-4:50pm, Allegheny Invited Paper Session 3:00-3:20pm The Klein Project Linking Changes in Epithelial Morphogenesis to Cancer Organizer: William McCallum, University of Arizona Mutations: An Integrative Model Kasia Rejniak, Moffitt Cancer Center 1:00-1:20pm 3:30-3:50pm Algebraic structure as a source of coherence in the school curriculum Mathematical Simulations of Tumor Response to Cancer Hyman Bass, University of Michigan Treatment Jana Gevertz, The College of New Jersey 1:30-1:50pm 4:00-4:20pm Cyclotomic Polynomials Harriet Pollatsek, Mount Holyoke College Predictions of tumor morphological stability and evaluation against experimental observations 2:00-2:20pm Kara Thuy Pham, Mathematics Department, University of California, Irvine Eudoxus, Euclid and Hölder on measurement, ratio and proportion 1:00-4:15pm, Frick James madden, Louisiana State University Contributed Paper SESSION 2:30-2:50pm Geometry Topics That Engage Students, Session 2 Organizer: Sarah Mabrouk, Framingham State College Issues in the Transition from Concrete to Formal Mathematics Susanna Epp, DePaul University 1:00-1:15pm 3:00-3:20pm Centers of Triangles (for GSP 5 and Geogebra) Jane Cushman, Buffalo State College Repeating Decimal Representations of Fractions and Group Theory 1:20-1:35pm Sybilla Beckmann, University of Georgia GeoGebra and the Fermat-Torricelli Point 3:30-3:50pm Marc Renault, Shippensburg University Revisiting Felix Klein’s Elementary Mathematics From An 1:40-1:55pm Advanced Standpoint Bill Barton, University of Auckland Minkowski geometry and special relativity Theodore Theodosopoulos, Saint Ann’s School 4:00-4:20pm 2:00-2:15pm The Mathematics of Task Design Al Cuoco, Educational Development Center; Glenn Stevens, Baserunner’s Optimal Path Boston University Frank Morgan, Williams College 4:30-4:50pm 2:20-2:35pm The Secret Life of the ax+b Group A modern geometry class works overtime Roger Howe, Yale University Premalatha Junius, MansfieldUniversity
41 MAA MathFest 2010 Saturday(continued)
1:00-4:55pm, Bob Hope 4:20-4:35pm Contributed Paper SESSION Supplemental Instruction Model for Precalculus Active Learning Intervention Strategies Accompanying Emil Daniel Schwab, The University of Texas at El Paso Introductory Mathematics Courses Organizers: Catherine Beneteau, University of South Florida; 4:40-4:55pm Helmut Knaust, University of Texas at El Paso; Emil Schwab, University of Texas at El Paso; and Gabriela Schwab, University of Tasks in an Emerging Scholars Program in Pre-Calculus and Texas at El Paso - Rio Grand Campus Calculus via an Active Learning Lens Julie Marie Skinner, University of Texas-Arlington 1:00-1:15pm 1:00-5:30pm, Phipps An innovative approach to trigonometry recitation involving Great Talks for a General Audience: Coached pre-service secondary math teachers Presentations by Graduate Students Diana White, University of Colorado Denver Organizer: Jim Freeman, Cornell College 1:20-1:35pm 1:00-5:40pm, Sky Do inquiry-based active learning strategies add value to General Contributed Paper Session computer-assisted instruction? Applications of Mathematics William Bond, University of Alabama-Birmingham Organizers: Mike Johnson, Meredith College; Julia Arciero, University of Pittsburgh; Eduardo Montoya, California State 1:40-1:55pm University Bakersfield; Murphy Waggoner, Simpson College; Electronic Study Guide for Precalculus and Calculus Richard Marchand, Slippery Rock University; and Shawn Philip B. Yasskin, Texas A&M University McMurran, California State University San Bernardino 2:00-2:15pm 1:00-1:10pm Enhanced Student Services in Calculus 1 Classes Random Walks and Continuum Coupling Cristina Villalobos, University of Texas-Pan American Sheldon Lee, Viterbo University 2:20-2:35pm 1:15-1:25pm Formative Assessments to Improve Performance in Queueing Models with Unknown Service Parameters for Pre-calculus and Calculus Congested Systems Jose Huberto Giraldo, Texas A&M University Corpus Christi Mike J. Johnson, Meredith College 2:40-2:55pm 1:30-1:40pm Service Learning In A Precalculus Class: An Environmental Dynamics of a two-patch model for plant-insect interactions Awareness Campaign Yun Kang, Arizona State University; Dieter Armbruster, ASU Angie Hodge, North Dakota State University 1:45-1:55pm 3:00-3:15pm Mathematical model of necrotizing enterocolitis: effects of I Lost My Voice and Learned to Teach probiotic treatment and Toll-like receptor 4 inhibition Leslie M. Horton, Delta State University Julia Arciero, University of Pittsburgh 3:20-3:35pm 2:00-2:10pm Moore Method in PreCalculus: An Interim Report Mathematical Modeling of Atmospheric Dispersion: An Karen Sue Briggs, North Georgia College & State University Undergraduate Research Project. J. Christopher Tweddle, University of Evansville 3:40-3:55pm 2:15-2:25pm Promoting Success in Calculus Through Problem Solving and Undergraduate Teaching Assistants Rationality as a Threshold for Evolution Towards Cooperation. David Wilson, SUNY, Buffalo State Kathryn Weld, Manhattan College 4:00-4:15pm 2:30-2:40pm Service learning in a Precalculus class: An environmental Using Distorted Gaussians To Model Device Lifetimes awareness campaign Genghmun Eng Zdenka Guadarrama, Rockhurst University
42 Saturday(continued) MAA MathFest 2010
2:45-2:55pm 5:15-5:25pm Ray-based Tomography: An application for linear algebra Analyzing Differentially Expressed Genes in Short Time Series Martha Waggoner, Simpson College Microarray Data Darlene Olsen, Norwich University 3:00-3:10pm 5:30-5:40pm Solutions to a generalization of the mixture problem from differential equations. What does the Julia Set for f(z)=z5⁄2-1⁄2+i⁄10 really look like? John Noonan, Mount Vernon Nazarene University Joshua C Sasmor, Seton Hill University
3:15-3:25pm 3:00-4:20pm, Lawrence Welk The effects of climate change on a species with temperature Panel dependent sex determination. The Single Mathematician Amy Parrott, University of Wisconsin-Oshkosh Organizers: Georgia Benkart, University of Wisconsin; Maura Mast, University of Massachusetts Boston; and Maeve Lewis McCarthy, 3:30-3:40pm Murry State University Panelists: Julie Barnes, Western Carolina University; Ellen An Epidemiology Model Suggested by Yellow Fever Kirkman, Wake Forrest University; Deborah Lockhart, National Daniel Joseph Galiffa, Penn State Erie Science Foundation; and Mary Beth Ruskai, Tufts University 3:45-3:55pm 3:30-5:30pm, Keystone/Doubletree Sensitivity and robustness of a neuron model are affected by Minicourse #5 Part 2 dendrite shape A Game Theory Path to Quantitative Literacy Christina Weaver, Franklin & Marshall College Presenters: David Housmaen, Goshen College, and Rick Gillman, Valpraiso University 4:00-4:10pm The evolution of mountain pine beetle development time in 3:30-5:30pm, Erie/Doubletree response to climate change Minicourse #6 Part 2 Brian Patrick Yurk, Hope College Creating Demonstrations and Guided Explorations for Multivaiable Calculus using CalcPlot3D 4:15-4:25pm Presenter: Paul Seeburger, Monroe Community College Relative efficiency gains of a monotone functional 4:30-6:00pm, Monongahela non-linear model. Eduardo Montoya, CSU-Bakersfield Panel Math Circles: Transforming (or Subverting) Pre-College 4:30-4:40pm Mathematics Spirographic Orbits in Extended Mass Distributions: Results Organizers: Tatiana Shubin, San Jose State University, and Elgin From a Collaborative Research Effort with Undergraduates Johnston, Iowa State University Lisa Joan Holden, Northern Kentucky University Panelists: Eric Hsu, San Francisco State University; Elgin Johnston, Iowa State University; Jim Lewis, University of Nebraska; William McCallum, University of Arizona; James Tanton, St. Mark’s School; 4:45-4:55pm and James Taylor, Sante Fe Prepatory School A comparison of mechanical and thermal damping in a thermoelastic beam 6:00-7:00pm, Urban Richard Marchand, Slippery Rock University Silver & Gold Reception
5:00-5:10pm 7:00-9:00pm, Urban A Dynamic Network Interdiction Problem Silver & Gold Banquet Brian J. Lunday, Grado Department of Industrial and Systems MC: Barbara Faires, Westminster College Engineering, Virginia Polytechnic Institute and State University Climate Change at the Top of the World: A Pure Mathematician Worries about a Decidedly Applied Problem Speaker: Robert Megginson, University of Michigan
43 MAA MathFest 2010
Social Events
Clayton and Opening Banquet 3rd Annual MathFest Frick Museum Tour Wednesday, August 4, 7:30 p.m – 9:30 pm 5K Fun Run/Walk Wednesday, August 4 Saturday, August 7, 6:30 am Continue the exciting evening by 9:30 am – 4:00 pm joining new and longtime friends and Get active with your colleagues and Travel to the Clayton Estate, one of the colleagues for a fine dinner. There have some fun Saturday, August 7 along nation’s most complete Victorian homes will be an after dinner presentation the bike path at North Shore Park! and the residence of the industrialist by Jonathan Rogness, University of More than 150 MathFest attendees Henry Clay Frick. Enjoy the quiet Minnesota who will present the talk: participated in the 2009 MathFest 5K refinement of a Victorian past, visit “Seeing Mathematics!” Fun Run/Walk and this year is sure to be the extensive car and carriage museum a hit. The fee is $25 and all participants for a look at old-time travel, and enjoy Serving as master of ceremonies will receive a t-shirt. Donations are the estate’s lovely greenhouse. The will be James Sellers from Penn State being accepted to present to a local Clayton estate is also the home to a University (Governor, Allegany Pittsburgh charity. private art museum that has an exquisite Mountain Section). Tickets are $52 permanent collection of European per person. Purchasing tickets through Silver & Gold Banquet and Asian paintings, sculpture, and advanced registration is recommended, Saturday, August 7, 6:00 pm – 9:00 pm since only a limited number of tickets decorative arts from the 12th to 18th Our annual end-of-meeting banquet is a will be available for sale on site. Choice century. The tour will stop by the time to honor long-time MAA members of entrees available. Cathedral of Learning at the University and have a very special conclusion of Pittsburgh to see the 27 Nationality Graduate Student Reception to the meeting. Please join us for this Rooms. Lunch is included and tickets David Manderscheid, University of ticketed event. Robert Megginson are $53 per person. Nebraska-Lincoln from the University of Michigan is the James Freeman, Cornell College invited speaker. His talk will be “Climate MAA-PME Student Reception Thursday, August 5, 5:00 pm – 6:00 pm Change at the Top of the World: A Wednesday, August 4, 4:30 pm – 5:30 pm Pure Mathematician Worries About a AWM-MAA Morning Coffee Decidedly Applied Problem.” Barbara Math Jeopardy Friday, August 6, 8:00 am – 8:25 am Faires, Westminster College (MAA Wednesday, August 4 , 5:30 pm – 6:15 pm Secretary) will be the emcee. Cash bar. Robert Vallin, The Association for Women in Slippery Rock Tickets are $60 per person. Purchasing University and MAA Mathematics and the Mathematical Michael Berry Association of America invite you to tickets through advance registration University of Tennessee enjoy coffee and light refreshments is recommended, since only a limited number of tickets will be available for Answer: A fun undergraduate before the Etta Z. Falconer Lecture. sale on site. mathematics contest to lead off Pi Mu Epsilon Student Banquet MathFest. and Awards Ceremony Fallingwater Tour Question: What is Math Jeopardy? Friday, August 6, 6:00 pm – 8:00 pm Sunday, August 8 Four teams of students will provide the 9:00 am – 4:00 pm questions to go with the mathematical All PME members and their supporters answers in many categories. Come cheer are welcome. See the registration form Fallingwater is nestled in the heart of for your favorite team. The session will for more information on this ticketed the Laurel Highlands in the small village be emceed by Michael Berry. event. of Mill Run, PA. It is one of the most widely acclaimed works of architect Opening Reception MAA Ice Cream Social Frank Lloyd Wright. Fallingwater is Wednesday, August 4, 6:00 pm – 7:30 pm Friday, August 6, 9:00 pm – 10:00 pm Wright’s greatest essay in horizontal space, with his most powerful piece of The MAA is pleased to hold a reception Besides ice cream, we will recognize structural drama. The group will visit with a cash bar for all MathFest all students who gave talks in the the Christian Klay Winery for a tasting participants immediately preceding the MAA Student Paper Sessions, and and also enjoy a hay ride to the crest Opening Banquet. award prizes for the best of them. All of the mountain where the vineyards undergraduate students are invited to are and tour the wine processing area. attend. Since considerable walking and steps are involved, good walking shoes are strongly advised. Lunch is included and 44 tickets are $66. MAA MathFest 2010
45
Venn Sudoku SATURDAY’s “PROBLEm Of THE DAY”
Complete the pink, yellow, and The three grids are pseudo-puzzles, each with the same symmetric blue grids simultaneously so that for every grid, each row, column, configuration of clues. Taken separately, the pink grid has 1977 solutions, and block contains the numbers the yellow has 2231, and the blue has 2181. But only ONE combination is 1–9 exactly once. a solution to the combined Venn diagram combination of puzzles.
Thanks to Brainfreeze Puzzles (brainfreezepuzzles.com) for providing this year’s MathFest Sudoku. This year’s puzzle will appear in a new book, tentatively titled Taking Sudoku Seriously, by Laura Taalman and Jason Rosenhouse, to be published in 2011 by Oxford University Press