##
Contributed Paper Sessions

###
1. Best Practices for Teaching Online Courses

*Thursday, August 1, 1:00 p.m. – 4:55 p.m., Connecticut Convention Center, Room 14*

Online education is becoming increasingly common, and many institutions desire to offer courses online. Some faculty members are tasked with developing and teaching online courses without adequate training for doing so effectively. This session seeks to share ideas to help instructors of online courses. The focus will be on teaching courses completely online, rather than using online tools to augment a face-to-face class. Possible topics include strategies for delivering content, engaging students, fostering discussion and collaboration, and assessment in an online environment. Presentations about particular technologies useful for online classes are also welcome.

**Organizer**:

Matthew Wright, Huntington University

**Bridging the Digital Divide: Building a Sense of Community and Improving Student Engagement**

1:00 p.m. – 1:15 p.m.

Amy Wheeler, Hondros College

**Collaboration and Assessment Strategies for Teaching Online Undergraduate vs. Graduate Courses**

1:20 p.m. – 1:35 p.m.

Magdalena Luca, MCPHS University

**Fostering Online Discussion in Introductory Statistics**

*1:40 p.m. – 1:55 p.m.*

Jacci White, Saint Leo University

Scott White, St. Petersburg College

**Teaching Online Courses to Overseas Students**

2:00 p.m. – 2:15 p.m.

Xinlong Weng, University of Bridgeport

**Getting Started in MY Online Math Class**

2:20 p.m. – 2:35 p.m.

Carol Hannahs, Kaplan University

**Teaching Online and Face-to-Face Students in the Same Class**

2:40 p.m. – 2:55 p.m.

Elizabeth Miller, The Ohio State University

**Creating a Community Within an On-line Class**

*3:00 p.m. – 3:15 p.m.*

Cornelius P Nelan, Quinnipiac University

**Teaching an Activities Based Course Online**

3:20 p.m. – 3:35 p.m.

Donna Flint, South Dakota State University

Becky Diischer, South Dakota State University

**Raising Standards for Math Practice Software**

*3:40 p.m. – 3:55 p.m.*

John C Miller, The City College of The City University of New York

**Living it Up with Live Binders: Organizing Faculty Shared Web 2.0 Resources**

*4:00 p.m. – 4:15 p.m.*

Lea Rosenberry, Kaplan University

Leslie Johnson, Kaplan University

Michelle Lis, Kaplan University

**Using Digital Game-Based Learning in Online Math Courses**

4:20 p.m. – 4:35 p.m.

Tamara Eyster, Kaplan University

Lea Rosenberry, Kaplan University

**Teaching Statistics Online Using Blackboard Collaborate**

*4:40 p.m. – 4:55 p.m. *

Eric Ruggieri, College of the Holy Cross

###
2. History and Philosophy of Mathematics

This session welcomes contributions from all areas related to history and philosophy of mathematics. This includes reports on research, survey talks, and issues related to the use of history and philosophy of mathematics in the classroom.

**Organizers**:

Robert E. Bradley, Adelphi University

Bonnie Gold, Monmouth University

Maria Zack, Point Loma Nazarene University

**Sponsors**:

The Canadian Society for History and Philosophy of Mathematics

HOM SIGMAA

POM SIGMAA

####
Euler's Mathematics

*Thursday, August 1, 9:00 a.m. – 10:20 a.m., Connecticut Convention Center, Room 27*

**Leonhard Euler’s Mathematical Correspondence - The Early Berlin Years**

9:00 a.m. – 9:20 a.m.

Robert E. Bradley, Adelphi University

**Vector Calculus in Euler's Fluid Mechanics**

9:30 a.m. – 9:50 a.m.

Stacy Langton, University of San Diego

**Euler’s Method for a Plentiful Harvest**

10:00 a.m. – 10:20 a.m.

Michael P. Saclolo, St. Edward's University

**Seventeenth and Eighteenth Centuries**

*Thursday, August 1, 1:00 p.m. – 5:20 p.m., Connecticut Convention Center, Room 27*

**Conics in the 17th Century: Claude Mydorge and After**

1:00 p.m. – 1:20 p.m.

Christopher Baltus Baltus, SUNY Oswego

**Christiaan Huygens's Work on the Catenary, 1690-1691**

1:30 p.m. – 1:50 p.m.

John Bukowski, Juniata College

**The Geometric Algebra of John Wallis**

2:00 p.m. – 2:20 p.m.

Maria Zack, Point Loma Nazarene University

**Newton's Writings on the Calculus**

2:30 p.m. – 2:50 p.m.

Troy Larry Goodsell, Brigham Young University-Idaho

**\(\textrm{Apr\'{e}s}\) 1713: Bernoulli, Montmort et Waldegrave**

3:00 p.m. – 3:20 p.m.

David Richard Bellhouse, University of Western Ontario

**George Washington's Use of Trigonometry and Logarithms**

3:30 p.m. – 3:50 p.m.

Theodore J. Crackel, Papers of George Washington

V. Frederick Rickey, West Point

Joel Silverberg, Roger Williams University

**Mathematics as Practiced in Colonial and Post-Colonial America**

4:00 p.m. – 4:20 p.m.

Scott Guthery, Docent Press

**Images of Andrew Ellicott (1754-1820)**

4:30 p.m. – 4:50 p.m.

Florence Fasanelli, AAAS

**How Brook Taylor Got Joshua Kirby a Position**

5:00 p.m. – 5:20 p.m.

Duncan J Melville, St. Lawrence University

**Nineteenth Century**

*Friday, August 2, 2013, 8:30 a.m. – 9:50 a.m., Connecticut Convention Center, Room 26*

**Origins of Block Designs, Normed Algebras, and Finite Geometries: 1835 to 1892**

8:30 a.m. – 8:50 a.m.

Ezra A Brown, Virginia Tech

**Monsieur François-Joseph Servois: His Life and Mathematical Contributions**

9:00 a.m. – 9:20 a.m.

Salvatore John Petrilli, Adelphi University

**The Definite Integral by Euler, Lagrange and Laplace from the Viewpoint of Poisson**

9:30 a.m. – 9:50 a.m.

Shigeru Masuda, Kyoto Univ

####
Twentieth Century, Part 1

*Friday, August 2, 8:30 a.m. – 11:20 a.m., Connecticut Convention Center, Room 27*

**Statistics at the 1924 Toronto IMC and BAAS**

8:30 a.m. – 8:50 a.m.

David Orenstein, Toronto District School Board

**Fictionalism and Mathematical Practice**

9:00 a.m. – 9:20 a.m.

Matthew Clemens, Keene State College

**Who's That Mathematician? No, Really, Who Is She (or He)?**

9:30 a.m. – 9:50 a.m.

Janet Beery, University of Redlands

**Rational Discovery of the Natural World: An Algebraic and Geometric Answer to Steiner**

10:00 a.m. – 10:20 a.m.

Robert H C Moir, Western University

**Mathematical Logic and the History of Computers**

10:30 a.m. – 10:50 a.m.

Jonathan Seldin, University of Lethbridge

**Canonical Maps: Where Do They Come From and Why Do They Matter?**

11:00 a.m. – 11:20 a.m.

Jean-Pierre Marquis, Université de Montréal

####
Twentieth Century, Part 2

*Friday, August 2, 2:30 p.m. – 3:50 p.m., Connecticut Convention Center, Room 26*

**Tools of the Table Crackers: Quantitative Methods in the History of Numerical Tables**

2:30 p.m. – 2:50 p.m.

Glen Van Brummelen, Quest University

**On the Chebychev Quadrature**

3:00 p.m. – 3:20 p.m.

Roger Godard, RMC

**Felix Hausdorff: We Wish for You Better Times**

3:30 p.m. – 3:50 p.m.

Charlotte Simmons, University of Central Oklahoma

####
Using History and Philosophy in Teaching Mathematics

*Friday, August 2, 3:00 p.m. – 5:20 p.m., Connecticut Convention Center, Room 27*

**Logic is Not Epistemology: Should Philosophy Play a Larger Role in Learning about Proofs?**

3:00 p.m. – 3:20 p.m.

Martin E Flashman, Humboldt State University

**Teaching Mathematical Ideas by the History of from Quadratic to Quartic Equations**

3:30 p.m. – 3:50 p.m.

Xinlong Weng, University of Bridgeport

**Playful History: A Generalizable Mesolabium for Geometer's Sketchpad**

4:00 p.m. – 4:20 p.m.

J. Lyn Miller, Slippery Rock University

**Historical Accuracy, Popular Books, and Videos: Three Components of a History of Math Class**

4:30 p.m. – 4:50 p.m.

Diana White, University of Colorado Denver

**The Use of History of Mathematics as a Tool in Teaching Mathematics**

5:00 p.m. – 5:20 p.m.

Santhosh Mathew, Regis College

####
The Arc of Time

*Saturday, August 3, 8:30 a.m. – 10:20 a.m., Connecticut Convention Center, Room 27*

**Euclid's Treatment of the Golden Ratio**

8:30 a.m. – 8:50 a.m.

Charlie Smith, Park University

**Plato was Not a Mathematical Platonist**

9:00 a.m. – 9:20 a.m.

Elaine Landry, University of California, Davis

**Some Illustrated Comments on Selected “Magical Squares with Magical Parts”**

9:30 a.m. – 9:50 a.m.

George P.H. Styan, McGill University

**Mathematical Devices at the Smithsonian: Ideas for Using Digital Collections in the Classroom**

10:00 a.m. – 10:20 a.m.

Amy Shell-Gellasch, Hood College

Amy Ackerberg-Hastings, NMAH/UMUC

###
3. Interactions Between History and Philosophy of Mathematics

This session is geared specifically to interactions between the history and philosophy of mathematics. Talks will be expected either to approach specifically how each discipline informs the other in particular or general contexts, or to discuss issues and episodes that have implications for both the philosophy and the history of mathematics.

**Organizers**:

Thomas Drucker, University of Wisconsin—Whitewater

Glen Van Brummelen, Quest University

**Sponsors**:

The Canadian Society for History and Philosophy of Mathematics

HOM SIGMAA

POM SIGMAA

####
Part 1

*Saturday, August 3, 10:30 a.m. – 11:20 a.m., Connecticut Convention Center, Room 27*

**Zeno Will Rise Again**

10:30 a.m. – 10:50 a.m.

Thomas Drucker, University of Wisconsin--Whitewater

**Analysis and Synthesis in Geometry Textbooks: Who Cares?**

11:00 a.m. – 11:20 a.m.

Amy Ackerberg-Hastings, NMAH/UMUC

####
Part 2

*Saturday, August 3, 2:30 p.m. – 4:50 p.m., Connecticut Convention Center, Room 27*

**Assimilation in Mathematics and Beyond**

2:30 p.m. – 2:50 p.m.

Robert S D Thomas, University of Manitoba

**Euler and the Enlightenment**

3:00 p.m. – 3:20 p.m.

Lawrence D'Antonio, Ramapo College

**Persecution of Nikolai Luzin**

3:30 p.m. – 3:50 p.m.

Maryam Vulis, NCC and York College CUNY

**Philosophy Etched in Stone: The Geometry of Jerusalem's 'Absalom Pillar'**

4:00 p.m. – 4:20 p.m.

Roger Auguste Petry, Luther College at the University of Regina

**Understanding the Interplay between the History and the Philosophy of Mathematics in Proof Mining**

4:30 p.m. – 4:50 p.m.

Jeff Buechner, Rutgers University

Saul Kripke Center, CUNY GC

###
4. My Favorite Geometry Proof

*Friday, August 2, 1:00 p.m. – 4:55 p.m., Connecticut Convention Center, Room 14*

This session invites presenters to share their favorite undergraduate geometry proofs. These proofs should be suitable for Euclidean and non-Euclidean geometry courses as well as for courses frequently referred to as “modern” or “higher” geometry but not those related to differential geometry or (low-level) graduate courses. Proofs must be for theorems other than the Pythagorean Theorem. Presenters must do the full proof, discuss how the proof fits into the course, provide information regarding prerequisite topics for the proof, and discuss associated areas with which students have difficulty and how such concerns are addressed so that students understand the proof. Presenters are invited to discuss how they have modified the proof over time as well as to share historical information for “classic” proofs and explorations/demonstrations that they use to help students understand the associated theorem. Abstracts should include the theorem to be proved/discussed as well as brief background information.

**Organizer**:

Sarah L. Mabrouk, Framingham State University

**Pizzas, Calzones, and Crusts: Using Symmetry to Slice up a Circle**

1:00 p.m. – 1:15 p.m.

Michael Nathanson, Saint Mary's College of California

**Heron's Formula: A Proof without Words**

1:20 p.m. – 1:35 p.m.

Daniel E. Otero, Xavier University

**Heron's Formula for the Area of a Triangle**

1:40 p.m. – 1:55 p.m.

Diana White, University of Colorado Denver

**Spherical Triangle Area and Angle Sum**

2:00 p.m. – 2:15 p.m.

Jeff Johannes, SUNY Geneseo

**The Angle Sum Theorem for Triangles on the Sphere**

2:20 p.m. – 2:35 p.m.

Marshall Whittlesey, California State University San Marcos

**The Existence of the Nine-Point Circle for a Given Triangle**

2:40 p.m. – 2:55 p.m.

Stephen Andrilli, La Salle University

**Ptolemy's Theorem**

3:00 p.m. – 3:15 p.m.

Pat Touhey, Misericordia University

**When is the Inversion of Circle C over Circle k Orthogonal to Circle k?**

3:20 p.m. – 3:35 p.m.

Mary Platt, Salem State University

**Convex Quadrilaterals**

3:40 p.m. – 3:55 p.m.

Braxton Carrigan, Southern CT State University

**Quadrature, the Geometric Mean, Hinged Dissections, and the Purpose of Proof**

4:00 p.m. – 4:15 p.m.

Clark P Wells, Grand Valley State University

**A Simple Proof of the Classification of Conics by the Discriminant**

4:20 p.m. – 4:35 p.m.

Martin E Flashman, Humboldt State University

**It's Not Hyperbole: A Transforming Proof**

4:40 p.m. – 4:55 p.m.

Thomas Q Sibley, St. John's University

###
5. Inquiry-Based Learning Best Practices

In many mathematics classrooms, doing mathematics means following the rules dictated by the teacher and knowing mathematics means remembering and applying these rules. However, an inquiry-based learning (IBL) approach challenges students to create/discover mathematics. Boiled down to its essence, IBL is a method of teaching that engages students in sense-making activities. Students are given tasks requiring them to conjecture, experiment, explore, and solve problems. Rather than showing facts or a clear, smooth path to a solution, the instructor guides students via well-crafted problems through an adventure in mathematical discovery. The talks in this session will focus on IBL best practices. We seek both novel ideas and effective approaches to IBL. Claims made should be supported by data (student responses, test scores, survey results, etc.) or anecdotal evidence. This session will be of interest to instructors new to IBL, as well as seasoned practitioners looking for new ideas.

**Organizers**:

Dana Campbell Ernst, Northern Arizona University

Angie Hodge, University of Nebraska at Omaha

Stan Yoshinobu, Cal Poly, San Luis Obispo

####
Part 1

*Friday, August 2, 3:20 p.m. – 5:15 p.m., Connecticut Convention Center, Room 16*

**Course Notes for Differential Calculus**

3:20 p.m. – 3:35 p.m.

Brian Loft, Sam Houston State University

**Using Inquiry-Based Leaning to Define Continuity**

3:40 p.m. – 3:55 p.m.

Tim Boester, Wright State University

**A Flipped Classroom Study in Second Semester Calculus**

4:00 p.m. – 4:15 p.m.

Ellie Kennedy, Northern Arizona University

**Calculus - The IBL Way!**

4:20 p.m. – 4:35 p.m.

Janice Rech, Univeristy of Nebraska at Omaha

Angie Hodge, University of Nebraska at Omaha

**Calculus Group Projects to Motivate Sequences and Series by Major**

4:40 p.m. – 4:55 p.m.

Daniel Shifflet, Clarion University of Pennsylvania

**IBL in the Time of MOOCs**

5:00 p.m. – 5:15 p.m.

Olympia Nicodemi, SUNY Geneseo

####
Part 2

*Saturday, August 3, 8:30 a.m. – 11:05 a.m., Connecticut Convention Center, Room 16*

**MathDL Mathematical Communication: Resources for Engaging Students in Communicating about Mathematics**

8:30 a.m. – 8:45 a.m.

Susan Ruff, MIT

**Discovery on “Number Theory Island"**

8:50 a.m. – 9:05 a.m.

Martha Allen, Georgia College

Blair Dietrich, Georgia Military College

**Inquiry Based Learning in a Number Theory Course for Non-Majors**

9:10 a.m. – 9:25 a.m.

Lauren Rose, Bard College

**A Collaborative, Student-Written Textbook in a Writing Intensive, IBL Discrete Mathematics Course**

9:30 a.m. – 9:45 a.m.

David Richeson, Dickinson College

**From Cookbook to Toolbox: Modified Moore Method in Discrete Math and Abstract Algebra**

9:50 a.m. – 10:05 a.m.

Rachel Schwell, Central Connecticut State University

**An IBL Proofs Course: Student Perspectives**

10:10 a.m. – 10:25 a.m.

Julianna Stockton, Sacred Heart University

Nicole Trommelen, Sacred Heart University

Jennifer Robillard, Sacred Heart University

Cole Matthew, Sacred Heart University

Bowers Jonathan, Sacred Heart University

**Assessment in an IBL Geometry Course**

10:30 a.m. – 10:45 a.m.

Theron James Hitchman, University of Northern Iowa

**SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations**

10:55 a.m. – 11:05 a.m.

Brian Winkel, United States Military Academy

####
Part 3

*Saturday, August 3, 1:00 p.m. – 4:55 p.m., Connecticut Convention Center, Room 16*

**Computer Environments Promoting Student Inquiry**

1:00 p.m. – 1:15 p.m.

Robert Sachs, George Mason University

**A Student-Centered Approach to Intermediate Algebra**

1:20 p.m. – 1:35 p.m.

Jacqueline Jensen-Vallin, Slippery Rock University

**Presentation Fridays in Advanced Calculus**

1:40 p.m. – 1:55 p.m.

Robert W Vallin, Slippery Rock University

**A Bridge between IBL and Student Inquiry**

2:00 p.m. – 2:15 p.m.

Brian Katz, Augustana College

**IBL Classroom Activities Beyond Student Presentation**

2:20 p.m. – 2:35 p.m.

Elizabeth Thoren, University of California, Santa Barbara

**Strategies for Implementing Inquiry-Based Learning in the College Mathematics Classroom**

2:40 p.m. – 2:55 p.m.

Erin Moss, Millersville University

**IBL Teachers' Perspectives on Gettting Students to Work Together, Present, and Critique**

3:00 p.m. – 3:15 p.m.

Timothy Whittemore, University of Michigan

Vilma Mesa, University of Michigan

**Asking Good Questions to Promote Inquiry and Mathematical Conversations**

3:20 p.m. – 3:35 p.m.

Christine von Renesse, Westfield State University

Volker Ecke, Westfield State University

**Teachers Teaching: An Inquiry-Based Approach to Math Education**

3:40 p.m. – 3:55 p.m.

Cheryll Crowe, Eastern Kentucky University

**Using Computer Programming to Push Students to Build Mental Frameworks for Abstraction and Generalization**

4:00 p.m. – 4:15 p.m.

Cynthia L. Stenger, University of North Alabama

James A. Jerkins, University of North Alabama

**Creating an IBL Summer Mathematics Institute**

4:20 p.m. – 4:35 p.m.

Randall E Cone, VMI

**Tile Flooring and Recursive Relation**

4:40 p.m. – 4:55 p.m.

Xinlong Weng, University of Bridgeport

###
6. Undergraduate Research Activities in Mathematical and Computational Biology

*Thursday, August 1, 1:00 p.m. – 3:55 p.m., Connecticut Convention Center, *Room 15

This session will highlight research results of projects that either were conducted by undergraduates or were collaborations between undergraduates and their faculty mentors. Of particular interest are those collaborations that involve students and faculty from both mathematics and biology. As many institutions have started undergraduate research programs in this area frequently with the help of initial external funding, the session is interested in the process and logistics of starting a program and maintaining a program even after the initial funding expires. Important issues include faculty development and interdisciplinary collaboration, student preparation and selection, the structure of research programs, the acquisition of resources to support the program, and the subsequent achievements of students who participate in undergraduate research in mathematical and computational biology.

The session will also feature undergraduate research projects in mathematical and computational biology which are mentored by a single faculty mentor without the support of a larger program. We seek scholarly papers that present results from undergraduate research projects in mathematical or computational biology, discuss the creation, maintenance, or achievements of an undergraduate research program, or describe the establishment or maintenance of collaborations between faculty and students in mathematics and biology.

**Organizer**:

Carrie Elizabeth Diaz Eaton, Unity College

**Sponsor**:

BIOSIGMAA

**UBM Program at University of Houston-Downtown: Experiences and the Challenge to Sustain It**

1:00 p.m. – 1:15 p.m.

Edwin Tecarro, University of Houston-Downtown

Jeong-Mi Yoon, University of Houston-Downtown

Youn-Sha Chan, University of Houston-Downtown

Akif Uzman, University of Houston-Downtown

**Undergraduate Mathematical Biology Research at Truman State University**

1:20 p.m. – 1:35 p.m.

Pam Ryan, Truman State University

**Graph Theory in DNA Self-Assembly: An Early Entry Point for Interdisciplinary Student Research**

1:40 p.m. – 1:55 p.m.

Jo Anthony Ellis-Monaghan, Saint Michael's College

**Using Bioinformatic Approaches to Predict Gene Expression Based on Promoter Structure in Acute Myeloid Leukemia**

2:00 p.m. – 2:15 p.m.

Natalie Stanley, Dickinson College

**Analysis of Refined Gaussian Network Model for HIV-1 Protease**

2:20 p.m. – 2:35 p.m.

Jacob Liddle, Houghton College

Nicholas Fuller, Houghton College

Junkoo Park, Houghton College

**A Mathematical Model of Sleep Regulation**

2:40 p.m. – 2:55 p.m.

Anita Kummamuri Rao, Texas Academy of Math & Science, Denton, TX

**A Cognitive Neuroscience Modeling Experiment**

3:00 p.m. – 3:15 p.m.

Ted Theodosopoulos, Saint Ann's School

Patricia Theodosopoulos, Saint Ann's School

**Undergraduate Research in Epidemic Modeling**

3:20 p.m. – 3:35 p.m.

Anthony DeLegge, Benedictine University

**Undergraduate Research in Modeling the Response of Chaparral Shrubs to Wildfires**

3:40 p.m. – 3:55 p.m.

Timothy Lucas, Pepperdine University

###
7. Research in Mathematics for High School and Community College Students

*Friday, August 2, 1:00 p.m. – 2:55 p.m., Connecticut Convention Center, Room 16*

The goal of this contributed paper session is to share appropriate problems, course descriptions, and other opportunities designed to support and encourage small research project in mathematics at the high school and community college level. Presentations that focus on examples of good problems, experiences with recruitment of students, support for both faculty and students, and presentation and publication of results are encouraged.

In 2012 there were approximately 27,000 students who took BC Calculus before entering the 12th grade. For these students, a standard course in Differential Equations, Multivariable Calculus, or Linear Algebra may be offered at their school, a local community college or university, or on- line. While these may be good courses, they do not offer high-level investigative experiences emphasizing the creative aspects of mathematical discovery, which encourages continued study in mathematics.

Encouraging students to use their own mind is absolutely essential when working with students who are talented and interested in mathematics. Students must be working on problems that are sufficiently rich to allow for extended work on them and sufficiently interesting and engaging so that they are willing to give the problems their time and intellectual energy. Small researchable problems offer this challenge to student creativity.

**Organizer**:

Daniel J. Teague, NC School of Science and Mathematics

**Sponsor**:

SIGMAA TASHM

**Good Problems are the Key to Building a High School Research Program**

1:00 p.m. – 1:15 p.m.

Daniel J. Teague, NC School of Science and Mathematics

**Studying Knot Theory with High School Students**

1:20 p.m. – 1:35 p.m.

Gyo Taek Jin, Dept. of Mathematical Science, KAIST

Hun Kim, Korea Science Academy of KAIST

**Undergraduate Math Research with Games and Puzzles**

1:40 p.m. – 1:55 p.m.

Shenglan Yuan, LaGuardia Community College,CUNY

**Structuring a Research in Mathematics Program for High School or Community College Students**

2:00 p.m. – 2:15 p.m.

Christine E. Belledin, NC School of Science and Mathematics

**Research with Zombies**

2:20 p.m. – 2:35 p.m.

Jean Marie Marie Linhart, Texas A&M University

**Using the Gini Coefficient as a Research Project in Precalculus**

2:40 p.m. – 2:55 p.m.

Victor Piercey, Ferris State University

###
8. The Mathematics of Planet Earth in Research

*Friday, August 2, 1:00 p.m. – 2:15 p.m., Connecticut Convention Center, Room 15*

Earth is a dynamic and complex planet; mathematics is a tool that we can use to understand it. The North American Mathematical Sciences Institutes are sponsoring the theme of The Mathematics of Planet Earth in 2013 (MPE 2013) with the goal of showcasing the role that mathematics plays in recognizing, exploring, and solving planetary problems. In support of MPE 2013, this session seeks proposals from those who have engaged in Environmental Mathematics research. Accepted papers will be published on the SIGMAA EM website to spark conversation on theme related topics throughout the year and beyond.

**Organizers**:

Ben Galluzzo, Shippensburg University

Monika Kiss, Saint Leo University

**Sponsor**:

SIGMAA EM

**Modeling the Size of Raindrops**

1:00 p.m. – 1:15 p.m.

Roger William Johnson, South Dakota School of Mines & Technology

**Rate-Limited Sorption Modeling in Contaminant Transport**

1:20 p.m. – 1:35 p.m.

David Coulliette, Asbury University

Kenneth Rietz, Asbury University

**Using Photometric Instruments to Observe and Model the South Atlantic Anomaly**

1:40 p.m. – 1:55 p.m.

Christina Selby, Rose-Hulman Institute of Technology

**The Impact of Temperature on Chinese Coal Demand**

2:00 p.m. – 2:15 p.m.

Amir Y. Ahmadi, Purdue University - Agricultural Economics

Xin Zhao, Purdue University - Agricultural Economics

Daniel Ghambi, Purdue University - Agricultural Economics

###
9. The Mathematics of Planet Earth in the College Mathematics Curriculum

*Friday, August 2, 3:05 p.m. – 4:00 p.m., Connecticut Convention Center, Room 15*

Earth is a dynamic and complex planet; mathematics is a tool that we can use to understand it. The North American Mathematical Sciences Institutes are sponsoring the theme of “The Mathematics of Planet Earth” in 2013 (MPE 2013) with the goal of showcasing the role that mathematics plays in recognizing, exploring, and solving planetary problems. In support of MPE 2013, this session seeks proposals from those interested in integrating Environmental Mathematics issues into the typical college curriculum. Accepted papers will be published on the SIGMAA EM website to spark conversation on theme-related topics throughout this year and beyond.

**Organizers**:

Ben Galluzzo, Shippensburg University

Monika Kiss, Saint Leo University

**Sponsor**:

SIGMAA EM

**Motivating a Gen-Ed Math Modeling Course with Food Policy Issues - A Follow-up Report**

3:05 p.m. – 3:20 p.m.

Jessica M. Libertini, University of Rhode Island

**Exploring the Conversion of Alternative Energy**

3:25 p.m. – 3:40 p.m.

Carrie Elizabeth Diaz Eaton, Unity College

**Hurricanes : Engines of Destruction**

3:45 p.m. – 4:00 p.m.

Marc Laforest, Ecole Polytechnique de Montreal

###
10. Recreational Mathematics: New Problems and New Solutions

As with all mathematics, recreational mathematics continues to expand through the solution of new problems and the development of novel solutions to old problems. For the purposes of this session, the definition of recreational mathematics will be a broad one. The primary guideline used to determine the suitability of a paper will be the understandability of the mathematics. Papers submitted to this session should be accessible to undergraduate students. Novel applications as well as new approaches to old problems are welcome. Examples of use of the material in the undergraduate classroom are encouraged.

**Organizers**:

Paul Richard Coe, Dominican University

Kristen Schemmerhorn, Dominican University

####
Part 1

*Thursday, August 1, 1:00 p.m. – 4:15 p.m., Connecticut Convention Center, Ballroom A*

**Fitch Cheney's Five Card Trick for Four or Three Cards**

1:00 p.m. – 1:15 p.m.

Colm Mulcahy, Spelman College

**Continued Fractions from a Magic Trick, A Preliminary Report**

1:20 p.m. – 1:35 p.m.

Robert W Vallin, Slippery Rock University

**Pop-Guitar-Music and Mathematics**

1:40 p.m. – 1:55 p.m.

Duk-Hyung Lee, Asbury University

**The Easiest Possible NY Times Crossword Puzzle**

2:00 p.m. – 2:15 p.m.

Kevin Ferland, Bloomsburg University

**Thinking Outside of the Box: The Mathematics of Swirldoku**

2:20 p.m. – 2:35 p.m.

Michael Mulligan, PuzzMill

**Nim\(^{\infty}\)**

2:40 p.m. – 2:55 p.m.

John Perry, University of Southern Mississippi

**Utilizing Information "Perfectly" in a Logic Puzzle**

3:00 p.m. – 3:15 p.m.

Blane Hollingsworth, Middle Georgia State College

**Tinkering with a Mathematical Goldmine**

3:20 p.m. – 3:35 p.m.

Jeff Johannes, SUNY Geneseo

**Parametic Equations Go to the Circus: Trochoids in Poi Flower Patterns**

3:40 p.m. – 3:55 p.m.

Eleanor Farrington, Massachusetts Maritime Academy

**Randomly Generating a Dekaaz Poetry Form**

4:00 p.m. – 4:15 p.m.

Mike Pinter, Belmont University

####
Part 2

*Friday, August 2, 8:30 a.m. – 10:45 a.m., Connecticut Convention Center, Room 16*

**A Brief Study of Abundant Numbers Not Divisible by Any of the First n Primes**

8:30 a.m. – 8:45 a.m.

Jay Lawrence Schiffman, Rowan University

**Discovery of Unusual Patterns of Squares Modulo an Odd Prime**

8:50 a.m. – 9:05 a.m.

Roger Bilisoly, Central Connecticut State University

**New Roles of an Old Puzzle: the Magic Square Problem**

9:10 a.m. – 9:25 a.m.

Aihua Li, Montclair State University

**Solving the World's Hardest Magic Square**

9:30 a.m. – 9:45 a.m.

Ethan Brown, Phillips Academy Andover

**Getting Hyper from Painting Cubes**

9:50 a.m. – 10:05 a.m.

Thomas Q Sibley, St. John's University

**Rubber Sheet Photography**

10:10 a.m. – 10:25 a.m.

Bruce Torrence, Randolph-Macon College

**Classification of Polyominoes by Spinal Character**

10:30 a.m. – 10:45 a.m.

David Jacob Wildstrom, University of Louisville

###
11. Curriculum Development to support first year mathematics students

A common focus of university administration is student retention and graduation. First year mathematics courses, both general education and major specific, have comparatively high drop/fail/withdraw rates. This means that they are often scrutinized in regard to their effect on retention and graduation rates. In this session, we would like to hear what you have been doing to respond to this scrutiny. We hope to focus on departmental-wide efforts, rather than specific classroom approaches. Presentations could include complete course redesign, co-requisite support courses, restructure of curriculum, departmental efforts to standardize, etc. Note that we would like to hear about successful, in process, and unsuccessful initiatives. Presentations that include a description of the initiative along with data supporting the success or failure of these initiatives are especially encouraged.

**Organizers***: *

Donna Flint, South Dakota State University

Becky Diischer, South Dakota State University

Charles Wesley Bingen, South Dakota State University

####
Part 1

*Saturday, August 3, 8:30 a.m. – 11:25 a.m., Connecticut Convention Center, Room 14*

**Effectively Supporting First-Year Students in Precalculus and Calculus Via the Arlington-Emerging Scholars Program**

8:30 a.m. – 8:45 a.m.

James Anthony Mendoza Epperson, The University of Texas at Arlington

Julie Marie Skinner Sutton, The University of Texas at Arlington

**Flipping Calculus: A Departmental Project of the University of Hartford**

8:50 a.m. – 9:05 a.m.

Fei Xue, University of Hartford

**Math Workshop for Accelerated Pathway to Calculus**

*9:10 a.m. – 9:25 a.m.*

Brandy Wiegers, National Association of Math Circles

Addie Evans, San Francisco State University, CSME

Emiliano Gomez, University of California, Berkeley

**Precalculus Redesign: The Influence of a Placement Program and the Power of a Name**

*9:30 a.m. – 9:45 a.m.*

Alison Ahlgren-Reddy, University of Illinois

Marc Harper, UCLA

**The Precalculus Competency Exam: A Remediation Program for Calculus**

*9:50 a.m. – 10:05 a.m.*

Caitlin Phifer, University of Rhode Island

Jessica M. Libertini, University of Rhode Island

**Variations on the Theme of Calculus Support**

*10:10 a.m. – 10:25 a.m.*

Jill Jordan, Houghton College

**Developing an Integrated Mathematics Curriculum in a Health Sciences Program**

*10:10 a.m. – 10:25 a.m.*

Aminul Huq, University of Minnesota Rochester

**Great Ideas in Mathematics and Interdisciplinary Connections – Restructuring Core Content to Engage and Retain Students**

10:30 a.m. – 10:45 a.m.

Melinda Schulteis, Concordia University, Irvine

**Increasing Math Majors’ Skills, Confidence, Community and Retention with a 1st Year Course**

10:50 a.m. – 11:05 a.m.

Jacqueline Dewar, Loyola Marymount University

Suzanne Larson, Loyola Marymount University

Thomas Zachariah, Loyola Marymount University

####
Part 2

*Saturday, August 3, 1:00 p.m. – 4:55 p.m., Connecticut Convention Center, Room 14*

**A Re-Redesign of College Algebra: Maximizing Flexibility and Consistency**

1:00 p.m. – 1:15 p.m.

Brian Hollenbeck, Emporia State University

**College Algebra Delivered Online: An Autopsy of an Unsuccessful Initiative**

1:20 p.m. – 1:35 p.m.

Malissa Peery, University of Tennessee

Jennifer Fowler, University of Tennessee

Charles Collins, University of Tennessee

**Just Enough Algebra -- A Successful Approach to Preparing College Students**

*1:40 p.m. – 1:55 p.m.*

Suzanne Ingrid Doree, Augsburg College, Minneapolis

**Realigning a Service Mathematics Curriculum to Better Serve the Major Department **

*2:00 p.m. – 2:15 p.m.*

Daniel Cole, SUNY Maritime College

**Supporting Large-First Year Courses with a Mathematics and Statistics Learning Center**

2:20 p.m. – 2:35 p.m.

Darry Andrews, The Ohio State University

Elizabeth Miller, The Ohio State University

**Uniting to Support First-Year Success: A Collaboration between State Universities in Connecticut**

*2:40 p.m. – 2:55 p.m.*

Karen Santoro, Central Connecticut State University

**Improved Success Rates in Developmental Math through Acceleration, Collaboration, and Technology**

3:00 p.m. – 3:15 p.m.

Awilda Delgado, Broward College

**Implementing a Mastery-Based Format for Remedial Mathematics Courses- an Iterative Approach**

3:20 p.m. – 3:35 p.m.

Donna Flint, South Dakota State University

Charles Wesley Bingen, South Dakota State University

**Creating an Online Math Lab**

3:40 p.m. – 3:55 p.m.

Stepan Paul, UC Santa Barbara

Michael Yoshizawa, UC Santa Barbara

**Math Skills, An Emporium Model Modified: What We learned from the Pilot Year**

4:00 p.m. – 4:15 p.m.

Mary D Shepherd, Northwest Missouri State University

**Serving the Under-Resourced Student in a University Setting through Mathematics**

*4:20 p.m. – 4:35 p.m. *

Kerry Luse, Trinity Washington University

Joseph Sheridan, Trinity Washington University

**Year One Results from Developmental Course Redesign**

*4:40 p.m. – 4:55 p.m.*

Stephen Hardin Fast, Limestone College

###
12. Math Circles: Best Practices

*Thursday, August 1, 1:00 p.m. – 4:15 p.m., Connecticut Convention Center, Room17*

A math circle is broadly defined as a sustained enrichment experience that brings mathematics professionals in direct contact with pre-college students and/or their teachers. Circles foster passion and excitement for deep mathematics. The SIGMAA on Math Circles for Students and Teachers (SIGMAA MCST) supports MAA members who share an interest in initiating and coordinating math circles.

SIGMAA MCST invites speakers to report on best practices in math circles with which they are or have been associated. Talks could address effective organizational strategies, successful math circle presentations, or innovative activities for students, for instance. Ideally, talks in this session will equip individuals currently involved in a math circle with ideas for improving some aspect of their circle, while also inspiring listeners who have only begun to consider math circles.

**Organizers**:

Tatiana Shubin, San Jose State University

Sam Vandervelde, St. Lawrence University

**Sponsor**:

SIGMAA MCST

**A Sampler of Math Circle Problems**

1:00 p.m. – 1:15 p.m.

James Tanton, MAA

**Math (Circles) Magic!**

1:20 p.m. – 1:35 p.m.

Cheryll Crowe, Eastern Kentucky University

**Two Circle Projects**

1:40 p.m. – 1:55 p.m.

Elgin Johnston, Iowa State University

**Circle in a Plane: Can Math Circle Activities be done with Tablets?**

2:00 p.m. – 2:15 p.m.

Paul Andrew Zeitz, University of San Francisco

**More Games for Little Wranglers**

2:20 p.m. – 2:35 p.m.

Edward C Keppelmann, University of Nevada Reno

**"I Need a Drink of Water!": 10 Things to Think About When Working with Elementary Math Circle Students**

2:40 p.m. – 2:55 p.m.

Brandy Wiegers, National Association of Math Circles

**Albany Area Math Circle: Building a Mathematical Community**

3:00 p.m. – 3:15 p.m.

Gili Rusak, Albany Area Math Circle

**Developing Collaborative Lesson Plans for Math Enrichment**

3:20 p.m. – 3:35 p.m.

Lauren Rose, Bard College

Beth Goldberg, Linden Avenue Middle School, Red Hook, NY

Joy Sebesta, Bard College

**Northern Colorado Math Teachers' Circle**

3:40 p.m. – 3:55 p.m.

Gulden Karakok, University of Northern Colorado

Katherine Morrison, University of Northern Colorado

Cathleen Craviotto, University of Northern Colorado

**What Happens in the Classroom of Math Teachers' Circle Participants?**

4:00 p.m. - 4:15 p.m.

Diana White, University of Colorado Denver

##
General Contributed Paper Sessions

###
1. History and Philosophy of Mathematics

*Thursday, August 1, 8:30 a.m. – 10:10 a.m., Connecticut Convention Center, Room 14*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**The Fourier’s Fecundity of Analytic Method or Application**

*8:30 a.m. – 8:40 a.m.*

Shigeru Masuda, Kyoto University

**Beyond Euclid**

*8:45 a.m. – 8:55 a.m.*

Kenneth Rietz, Asbury University

**Galois and His Theory**

*9:00 a.m. – 9:10 a.m.*

Philip Blau, Shawnee State University

**Mathematics in the Book of Michael of Rhodes, A Fifteenth-Century Maritime Manuscript**

*9:15 a.m. – 9:25 a.m.*

Andrew Perry, Springfield College

**Mathesis Universalis**

*9:30 a.m. – 9:40 a.m.*

Patricia Giurgescu, Mathematical Association of America

**Kempe’s Flawed Proof that Four Colors Suffice **

*9:45 a.m. – 9:55 a.m.*

Timothy Sipka, Alma College

**Recruiting and Training Mathematicians as Codebreakers**

*10:00 a.m. – 10:10 a.m.*

Chris Christensen, Northern Kentucky University

###
2. Research in Graph Theory or Combinatorics

*Thursday, August 1, 8:30 a.m. – 10:10 a.m., Connecticut Convention Center, Room 15*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Fuzzy Greedoids - Structure and Invariants**

*8:30 a.m. – 8:40 a.m.*

Steven J. Tedford, Misericordia University

**A Combinatorial Proof of the Poincare-Miranda Theorem**

8:45 a.m. – 8:55 a.m.

Francis Edward Su, Harvey Mudd College

**2-Color Rado Numbers for \(\displaystyle\sum_{i=1}^{m-1}x_i+c=x_m\)**

9:00 a.m. – 9:10 a.m.

Chris Spicer, Morningside College

**Harmoniously Coloring Powers of Path Graphs**

9:15 a.m. – 9:25 a.m.

Natacha Fontes-Merz, Westminster College

**Adjacency Relationships Forced by Graph Degree Sequences**

*9:30 a.m. – 9:40 a.m.*

Michael Barrus, Brigham Young University

**The Birank Number of Ladder Graphs**

*9:45 a.m. – 9:55 a.m.*

Michael Fraboni, Moravian College

**The Algebraic Connectivity of Planar Graphs**

10:00 a.m. – 10:10 a.m.

Jason Molitierno, Sacred Heart University

###
3. Probability or Statistics

*Thursday, August 1, 8:30 a.m. – 9:40 a.m., Connecticut Convention Center, Room 16*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**In Quest of Fairness, Randomness and Independence**

8:45 a.m. – 8:55 a.m.

Leo Chosid, NYC College of Technology

Jonathan Natov, NYC College of Technology

**Re-Sequencing Hypothesis Testing in an Introductory Statistics Course with Active Learning**

9:00 a.m. – 9:10 a.m.

Aminul Huq, University of Minnesota Rochester

Wei Wei, Metropolitan State University

Heidi Hulsizer, Hampden-Sydney College

**A New Class of Benford Random Variables**

9:15 a.m. – 9:25 a.m.

Azar Khosravani, Columbia College Chicago

Constantin Rasinariu, Columbia College Chicago

**The M-Tile Means, A New Class of Measures of Central Tendency**

*9:30 a.m. – 9:40 a.m.*

David DiMarco, Neumann University

Ryan Savitz, Neumann University

Fred Savitz, Neumann University

###
4. Teaching Advanced Mathematics, Part 1

*Thursday, August 1, 8:30 a.m. – 10:10 a.m., Connecticut Convention Center, Room 26*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Applications of Maxima to Calculus and Differential Equations**

8:30 a.m. – 8:40 a.m.

Leon Kaganovskiy, Touro College Brooklyn Campus

**Students’ Learning Journey in Linear Algebra**

8:45 a.m. - 8:55 a.m.

Nermine El-Sissi, The American University in Cairo

**Teaching Determinants by Rook-Arrangements**

9:00 a.m. - 9:10 a.m.

Anders O.F. Hendrickson, Saint Norbert College

**Bulls-Eye Jenga**

9:15 a.m. - 9:25 a.m.

Michael David Smith, Lycoming College

**A Sweet Way to Explore Statistics**

9:30 a.m. - 9:40 a.m.

Sarah L. Mabrouk, Framingham State University

**An Advanced, Applied Statistics Course for Mathematics Majors**

9:45 a.m. - 9:55 a.m.

Pete Johnson, Eastern Connecticut State University

Marsha Davis, Eastern Connecticut State University

**Curriculum Infusion of Alcohol Prevention In Probability and Statistics Courses**

10:00 a.m. - 10:10 a.m.

Andrew Lazowski, Sacred Heart University

###
5. Research in Linear Algebra or Geometry

*Thursday, August 1, 1:00 p.m. – 4:30 p.m., Connecticut Convention Center, Room 26*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**A Structured Inverse Eigenvalue Problem**

1:00 p.m. – 1:10 p.m.

Keivan Hassani Monfared, University of Wyoming

**Golden Triangulations**

*1:15 p.m. – 1:25 p.m.*

Bruce Atkinson, Samford University

Braxton Carrigan, Southern CT State University

**A Property of the Tangent Rectangle of the Parbelos: My Proof Compared with Tsukerman's**

1:30 p.m. – 1:40 p.m.

Jonathan Sondow, New York City

**Guarding a Koch Fractal Art Gallery**

*1:45 a.m. – 1:55 a.m.*

William Roger Fuller, Ohio Northern University

Lauren Cassell, Ohio Northern University

**Hidden Equilateral Triangles Inside Circles on Square Hyperbolas**

2:00 p.m. – 2:10 p.m.

Genghmun Eng

**Mathematics and Art on the Sphere**

2:15 p.m. – 2:25 p.m.

Judith Ann Silver, Marshall University

**Using a Curved Space Division Assembly, Two Plane Geometry Curves, for Partition of Linear Magnitude**

2:30 p.m. – 2:40 p.m.

Alexander Louis Garron, Sand Box Geometry LLC

**Identifying The Right Recursion**

2:45 p.m. – 2:55 p.m.

Brian Kelly, Fisher College

**Klein’s Hypercycles in 3D**

3:00 p.m. – 3:10 p.m.

Margaret Symington, Mercer University

**M\"obius Transformations Fixing Finite Sets of Points**

3:15 p.m. – 3:25 p.m.

Damiano Fulghesu, Minnesota State University, Moorhead

Ishan Subedi, Minnesota State University, Moorhead

**Some Not-So-Well-Known Constants Associated with the Conic Sedtions**

3:30 p.m. – 3:40 p.m.

Sylvester Reese

**Minima Domain Intervals, Dimensions, and How to Extend the Class 'Convex Functions'**

3:45 p.m. – 3:55 p.m.

Marcia R Pinheiro, RGMIA

**The Equivalence of the Illumination and Covering Conjectures**

4:00 p.m. – 4:10 p.m.

Ryan Trelford, University of Calgary

**The Complex Descartes Circle Theorem**

4:15 p.m. – 4:25 p.m.

Sam Northshield, SUNY-Plattsburgh

###
6. Assessment, Mentoring, or Outreach

*Friday, August 2, 8:30 a.m. – 11:25 a.m., Connecticut Convention Center, Room 14*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Assessment and Curving Grades**

8:30 a.m. – 8:40 a.m.

Fariba Nowrouzi Kashan, KYSU

**Getting at the (Grade) Point of Grading**

8:45 a.m. – 8:55 a.m.

Carrie Muir, University of Colorado, Boulder

**The Scarlet Letter: Assessment with a Purpose**

9:00 a.m. – 9:10 a.m.

M. Leigh Lunsford, Longwood University

Phillip L. Poplin, Longwood University

**Placement Tests: Are Students Getting the Course They Need?**

9:15 a.m.- 9:25 a.m.

David C. Wilson, SUNY, Buffalo State

Chaitali Ghosh, SUNY, Buffalo State

**High School Mathematics Competition - Females versus Males**

9:30 a.m. – 9:40 a.m.

Carey Childers, Clarion University

**Teaching Faculty How to Improve Students' Quantitative Skills through Cognitive Illusions**

9:45 a.m. – 9:55 a.m.

Frank Wang, LaGuardia Community College, CUNY

**Maths Week Ireland: Lessons from a Small Island?**

10:00 a.m. – 10:10 a.m.

Eoin Gill, Maths Week Ireland

**Outreach with Grades K-8 Teachers Impacting Pre-Service Mathematics Courses**

10:15 a.m. – 10:25 a.m.

Matthew Haines, Augsburg College

**Training Gifted Students: The Fullerton Mathematical Circle Experience**

10:30 a.m. – 10:40 a.m.

Rebecca Etnyre, Cal State Fullerton

Christina Tran, California State University, Fullerton Mathematical Circle

**Professor Abian Teaches a Lesson from Kelley's "General Topology"**

10:45 a.m. – 10:55 a.m.

Andrew deLong Martin, Kentucky State University

**The National Research Experience for Undergraduates Programs' (NREUP) Influence on Minority Students**

11:00 a.m. – 11:10 a.m.

Brian Arthur Christopher, University of Northern Colorado

Gulden Karakok, University of Northern Colorado

**Professional Development Training for Graduate Students: A Different Kind of Seminar**

11:15 a.m. – 11:25 a.m.

Jenna P. Carpenter, Louisiana Tech University

###
7. Teaching Calculus, Part 1

*Friday, August 2, 8:30 a.m. – 10:25 a.m., Connecticut Convention Center, Room 15*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Assessing Maplets for Calculus: Best Practices for Instructors and Software Developers**

8:30 a.m. – 8:40 a.m.

Douglas B Meade, University of South Carolina

Philip B Yasskin, Texas A&M University

Raymond E Patenaude, University of South Carolina

Robert Petrulis, EPRE Consulting LLC

**Maplets for Calculus Expands Offerings in Precalculus, Calculus and Differential Equations**

8:45 a.m. – 8:55 a.m.

Philip B Yasskin, Texas A&M University

Douglas B Meade, University of South Carolina

Matthew James Barry, Texas A&M University

**Using Programming to Understand Limits in a Calculus II Class**

9:00 a.m. – 9:10 a.m.

Amanda Harsy Ramsay, IUPUI (Indianapolis University Purdue University Indianapolis)

**Video Games and Calculus**

9:15 a.m. – 9:25 a.m.

Derek Thompson, Trine University

**iPads in the Classroom: A Departmental Project at the University of Hartford**

9:30 a.m. – 9:40 a.m.

Mako Haruta, University of Hartford

**Implementing the Flipped Classroom in a First-Year Pre-Calculus/Calculus Course**

9:45 a.m. – 9:55 a.m.

Kristen Sellke, Saint Mary's University of Minnesota

Janel Schultz, Saint Mary's University of Minnesota

**SONET-MATH: Using Social Networks to Learn Mathematics**

10:00 a.m. – 10:10 a.m.

Lori Dunlop-Pyle, University of Central Florida

Ivan Garibay, University of Central Florida

Ozlem Garibay, University of Central Florida

Amanda Koontz Anthony, University of Central Florida

**Technology Enhanced Large Calculus Lectures**

10:15 a.m. – 10:25 a.m.

Elizabeth Miller, The Ohio State University

###
8. Other/Research in Applied Mathematics

*Friday, August 2, 8:30 a.m. – 10:55 a.m., Connecticut Convention Center, Room 17*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Numerical Solution of Sine-Gordon Equation by Spectral Method**

8:30 a.m. – 8:40 a.m.

Narayan Thapa, Minot State University

**Stonger Numerical Stability for Nonlinear PDEs**

8:45 a.m. – 8:55 a.m.

Corban Harwood, George Fox University

**An Exploration in Differential Equations for Modeling Population Growth**

9:00 a.m. – 9:10 a.m.

Terry Jo Leiterman, St. Norbert College

**A Theory of Formal Mathematical Reasoning**

9:15 a.m. – 9:25 a.m.

Raymond Puzio, PlanetMath.org

**Comparing Reducibilities on Computably Enumerable Sets**

9:30 a.m. – 9:40 a.m.

Brooke Andersen, Assumption College

**Solvable and/or Integrable Many-Body Models on a Circle**

*9:45 a.m. – 9:55 a.m.*

Oksana Bihun, Concordia College at Moorhead, MN

**An Assignment that Promotes a Symbiotic Relationship Between Math Pre-Service Teachers and High School Students**

10:00 a.m. – 10:10 a.m.

Becky Hall, Western Connecticut State University

**Flipping a Math Content Course for Elementary School Teachers**

10:15 a.m. – 10:25 a.m.

Pari Ford, University of Nebraska at Kearney

**Integrating Content, Pedagogy, and Cognitive Coaching to Support K-8 Teachers' Implementation of Common Core**

10:30 a.m. – 10:40 a.m.

Ekaterina Lioutikova, Univeristy of Saint Joseph (Connecticut)

Barbara Henriques, University of Saint Joseph

**A Complex Calcudoku Classification**

10:45 a.m. - 10:55 a.m.

David Nacin, William Paterson University

###
9. Teaching Introductory Mathematics

*Friday, August 2, 1:00 p.m. – 3:55 p.m., Connecticut Convention Center, Room 17*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**College Algebra in the High Schools**

1:00 p.m. – 1:10 p.m.

Christopher Schroeder, Morehead State University

**Honors College Algebra at the University of Central Missouri**

1:15 p.m. – 1:25 p.m.

Dale Bachman, University of Central Missouri

Nicholas Baeth, University of Central Missouri

**Using Algebra in the Classroom to Understand the Way in which Automobiles Collide**

1:30 p.m. – 1:40 p.m.

Alexander G. Atwood, Suffolk County Community College

**Developmental Math as a Gateway, Not a Gatekeeper**

1:45 p.m. – 1:55 p.m.

Curtis Card, Black Hills State University

Daluss Siewert, Black Hills State University

**Transforming Developmental Mathematics Classes**

2:00 p.m. – 2:10 p.m.

Daluss Siewert, Black Hills State University

Curtis Card, Black Hills State University

**Preparing Students for College Math: A Successful Model of One-Semester Developmental Math**

2:15 p.m. – 2:25 p.m.

Pangyen Weng, Metropolitan State University

**Improving Secondary School Students' Mathematics Achievement in Nigeria through the use of Tutorial Computer-Aided Instruction**

2:30 p.m. – 2:40 p.m.

Solomon Abogunde Iyekekpolor, Federal University, Wukari, PMB 1020, Wukari-Nigeria

**Linking “Women in Mathematics” and Middle School Girls through Mentoring**

2:45 p.m. - 2:55 p.m.

Emek Kose, St. Mary's College of Maryland

**South Carolina High Energy Mathematics Teachers' Circle: A First Year Experience – Playing It By Ear**

3:00 p.m. - 3:10 p.m.

George F McNulty, University of South Carolina

Nieves F McNulty, Columbia College

Douglas B Meade, University of South Carolina

Diana White, University of Colorado Denver

**From Problem Solving to Research**

3:15 p.m. - 3:25 p.m.

Ted Theodosopoulos, Saint Ann's School

**Using Projects to Support Quantitative Literacy**

3:30 p.m. - 3:40 p.m.

Victor Piercey, Ferris State University

**Doing SoTL (Scholarship of Teaching and Learning) Projects **

3:45 p.m. - 3:55 p.m.

Sarah Ultan, UW-BC

###
10. Research in Algebra or Topology

*Saturday, August 3, 8:30 a.m. – 9:55 a.m., Connecticut Convention Center, Room 15*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Bounds on Mosaic Knots**

8:30 a.m. – 8:40 a.m.

Alan Alewine, McKendree University

**Best Representations and Intervals of Uncertainty in a Weakened Topology for the Integers**

8:45 a.m. – 8:55 a.m.

Sean Corrigan, Saint Louis University

**Understanding the Johnson Filtration of the Mapping Class Group via Geometric Topology**

9:00 a.m. – 9:10 a.m.

Aaron Heap, SUNY Geneseo

**On the Parity of a Permutation**

9:30 a.m. – 9:40 a.m.

Richard K. Oliver, Missoula, Montana

**Semi-Simple Lie Groups Acting on Flag Manifolds**

9:45 a.m. – 9:55 a.m.

B Ntatin, Austin Peay State University

###
11. Teaching Calculus, Part 2

*Saturday, August 3, 8:30 a.m. – 10:40 a.m., Connecticut Convention Center, Room 21*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Can The Beauty of Limits Be Recovered in Calculus?**

8:30 a.m. – 8:40 a.m.

Jose Giraldo, Texas A&M University Corpus Christi

**Deconstructing the Formal Definition of Limit at a Point**

8:45 a.m. – 8:55 a.m.

Tim Boester, Wright State University

**Resequencing Calculus with an Early Multivariate Approach**

9:00 a.m. – 9:10 a.m.

David Dwyer, University of Evansville

Mark Gruenwald, University of Evansville

Mike Axtell, University of St. Thomas

Ken Luther, Valparaiso University

Joe Stickles, Millikin University

Nicholas Baeth, University of Central Missouri

**Rigorous Calculus I Course for Biology Majors**

9:15 a.m. - 9:25 a.m.

Melissa Stoner, Salisbury University

**Convincing Students that Old Dogs Can Learn New Tricks**

9:30 a.m. - 9:40 a.m.

Bradley James Paynter, University of Central Oklahoma

**Teaching Calculus to Students who have Already Seen Calculus**

9:45 a.m. - 9:55 a.m.

Charlotte Ann Knotts-Zides, Wofford College

**Taking Math Students from 'Blah' to 'Aha!'; What Can We Do?**

10:00 a.m. - 10:10 a.m.

Darja Kalajdzievska, University of Manitoba

**Teaching Calculus through History, Intuition, Exploration, and Development (HIED)**

10:15 a.m. - 10:25 a.m.

Paul Sisson, Louisiana State University Shreveport

Tibor Szarvas, Louisiana State University Shreveport

**Unit Acceleration Vectors**

10:30 a.m. - 10:40 a.m.

Jeffrey William Clark, Elon University

###
12. Teaching Introductory Mathematics, Part 2

*Saturday, August 3, 8:30 a.m. – 10:25 a.m., Connecticut Convention Center, Room 17*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Behind the Scene: What the Brain Thinks the Eyes Are Seeing**

8:30 a.m. – 8:40 a.m.

Russell Coe, Suffolk County Community College

**A New Approach for the Liberal Arts Mathematics Courses**

8:45 a.m. – 8:55 a.m.

James Fulton, Suffolk County Community College

**Belended Developmental Mathematics Courses**

9:00 a.m. – 9:10 a.m.

Xinlong Weng, University of Bridgeport

**Helping Students Learn Geometry Using the Teacher made Manipulative**

9:15 a.m. – 9:25 a.m.

Hari Naraayan Upadhyaya, Scholars Home Academy

**Puzzles + Games = Mathematical Thinking**

9:30 a.m. – 9:40 a.m.

Edmund A Lamagna, University of Rhode Island

**Some Different Applications of Logarithms**

9:45 a.m. – 9:55 a.m.

Brian Heinold, Mount St. Mary's University

**Case Study: Student with Dyscalculia Offered History of Mathematics Course to Satisfy General Education**

10:00 a.m. – 10:10 a.m.

Gargi Bhattacharyya, University of Baltimore

**The Challenges of Designing a Mathematics Course for Liberal Arts in a Former Soviet Republic**

10:15 a.m. - 10:25 a.m.

Tracey McGrail, Marist College

###
13. Modeling and Applications

*Saturday, August 3, 8:30 a.m. – 10:55 a.m., Connecticut Convention Center, Room 26*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Modeling Opportunities with Differential Equations in the Classroom**

8:30 a.m. – 8:40 a.m.

Brian Winkel, United States Military Academy

**Fractal Powers in Serrin's Swirling Vortex Solutions**

8:45 a.m. – 8:55 a.m.

Pavel Belik, Augsburg College

Doug Dokken, University of St. Thomas

Kurt Scholz, University of St. Thomas

Mikhail Shvartsman, University of St. Thomas

**Fighting Fires in Siberia**

9:00 a.m. – 9:10 a.m.

Edward Aboufadel, Grand Valley State University

Beth Bjorkman, Grand Valley State University

**Mathematical Models of a Zombie Outbreak**

9:15 a.m. – 9:25 a.m.

Jean Marie Marie Linhart, Texas A&M University

**Generosity without Reciprocity: Computation Models of Need-Based Transfers and Risk-Pooling**

9:30 a.m. – 9:40 a.m.

Yan Hao, Hobart and William Smith Colleges

**Stochastic Differential Equation Models of the Nosocomial Infection VRE**

9:45 a.m. – 9:55 a.m.

Mohammed Yahdi, Ursinus College

**Modeling Preferntial Admissoins at Elite Liberal Arts Colleges**

10:00 a.m. – 10:10 a.m.

Sally Cockburn, Hamilton College

**Ranking the Academic Output of Medical Schools in the United States Using Data Envelopment Analysis**

10:15 a.m. – 10:25 a.m.

Brian Harris Nathanson, OptiStatim, LLC

**Timbral Partial Orders**

10:30 a.m. – 10:40 a.m.

Marcus Pendergrass, Hampden-Sydney College

**Numerical Estimates for the Regularization of Nonautonomous Ill-Posed Problems**

10:45 a.m. – 10:55 a.m.

Matthew Fury, Penn State Abington

###
14. Teaching Advanced Mathematics, Part 2

*Saturday, August 3, 1:00 p.m. – 4:10 p.m., Connecticut Convention Center, Room 21*

**Organizer**:

Gerard Venema, Calvin College

**A Simple Explanation of Stochastic Differential Equations**

1:00 p.m. – 1:10 p.m.

Blane Hollingsworth, Middle Georgia State College

**Differential Equations without Derivatives**

1:15 p.m. – 1:25 p.m.

Brian Sutton, Randolph-Macon College

**Essay-Style Problems in Differential Equations with WeBWorK**

1:30 p.m. – 1:40 p.m.

L. Felipe Martins, Cleveland State University

Barbara Margolius, Cleveland State University

**I Want it All, and I Want it Now! (Or, May I Please Graduate on Time?)**

1:45 p.m. – 1:55 p.m.

Anna Davis, Ohio Dominican University

**Teaching an Honors Seminar on Fractals for Non-Majors**

2:00 p.m. – 2:10 p.m.

Christopher Sass, Young Harris College

**Mathematics of Origami Honors Seminar -- Successes and Lessons Learned**

2:15 p.m. – 2:25 p.m.

Vera Cherepinsky, Post University

**Teachable Math in Cryptocurrency Phenomenon**

2:30 p.m. – 2:40 p.m.

Maryam Vulis, NCC and York College CUNY

**The 2-Column Method: A Better Way to Teach Proofs?**

2:45 p.m. – 2:55 p.m.

Mindy Capaldi, Valparaiso University

**“Where Have I Seen this Before?" - Encouraging Undergraduate Students to See Connections**

3:00 p.m. – 3:10 p.m.

Antonia Cardwell, Millersville University of Pennsylvania

**Transformative Learning in an Analysis Course: A Tactile Approach**

3:15 p.m. – 3:25 p.m.

Kristi Karber, University of Central Oklahoma

**The Constant of Integration**

3:30 p.m. – 3:40 p.m.

Marian Anton, Central Connecticut State University

**Adapted Sequence/Function Project**

3:45 p.m. – 3:55 p.m.

Violeta Vasilevska, Utah Valley University

**Native American-Based Mathematics Materials for Integration into Undergraduate Courses**

4:00 p.m. - 4:10 p.m.

Charles Funkhouser, California State University Fullerton

Miles R Pfahl, Turtle Mountain Community College

###
15. Research in Number Theory

*Saturday, August 3, 1:00 p.m. – 2:25 p.m., Connecticut Convention Center, Room 22*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Class Numbers and Continued Fraction Expansions**

1:00 p.m. – 1:10 p.m.

Mark Bauer, University of Calgary

Richard Guy, University of Calgary

Michael Katsuris Wanless, University of Calgary

Colin Weir, University of Calgary

**Distributions of Sequences Modulo 1: The Good, the Bad, and the Ugly**

1:15 p.m. – 1:25 p.m.

Paul Spiegelhalter, University of Illinois at Urbana Champaign

**Independent Divisibility Pairs on the Set of Integers from $1$ to $N$**

1:30 p.m. – 1:40 p.m.

Rosemary Sullivan, West Chester University of PA

**Equality of Cardinality of Sets of Subsets with Cardinality Congruent to Values Modulo $k$**

1:45 p.m. – 1:55 p.m.

John Pesek, University of Delaware

**A Delightful Interconnection Between Pythagorean Triples and Fibonacci-Like Sequences**

2:00 p.m. - 2:10 p.m.

Jay Lawrence Schiffman, Rowan University

**Squares and Pythagorean Triples II**

2:15 p.m. - 2:25 p.m.

Frederick Donald Chichester, Montclair Tutoring Center

###
16. Mathematics and Technology/Research in Analysis

*Saturday, August 3, 1:00 p.m. – 3:25 p.m., Connecticut Convention Center, Room 26*

**Organizers**:

Kristi Meyer, Wisconsin Lutheran College

Thomas Hagedorn, The College of New Jersey

**Are You Ready for R**

1:00 p.m. – 1:10 p.m.

Joseph Manthey, University of Saint Joseph, West Hartford, CT

**Applets Embedded in WeBWorK Homework Problems**

1:15 p.m. – 1:25 p.m.

Barbara Margolius, Cleveland State University

**Using Lurch in an Introduction to Proofs Course**

1:30 p.m. – 1:40 p.m.

Nathan Carter, Bentley University

Kenneth G. Monks, University of Scranton

**Technology in the Mathematics Classroom**

1:45 p.m. – 1:55 p.m.

Helmut Knaust, The University of Texas at El Paso

**Creating and Analyzing Chaotic Attractors Using Mathematica**

2:00 p.m. – 2:10 p.m.

Ulrich Hoensch, Rocky Mountain College

**An Introduction to Formal Laurent Series**

2:15 p.m. – 2:25 p.m.

Xiao-Xiong Gan, Morgan State University

**Classifying Rational Points in Generalized Cantor Sets and Cantor Like Sets**

2:30 p.m. – 2:40 p.m.

Douglas Daniel, Presbyterian College

**Geometric Approach to the Computation of Certain Definite Integrals**

2:45 p.m. – 2:55 p.m.

Sergei Artamoshin, CCSU

**Traveling Wave Solutions of the Porous Medium Equation**

3:00 p.m. – 3:10 p.m.

Joseph A. Iaia, University of North Texas

**Geometry of Fractal Squares**

3:15 p.m. – 3:25 p.m.

Kristine Roinestad, Georgetown College

##
MAA Student Paper Sessions

Students who wish to present at the MAA Student Paper Sessions at MathFest 2013 in Hartford must be sponsored by a faculty advisor familiar with the work to be presented. Some funding to cover costs (up to $750) for student presenters is available. At most one student from each institution or REU can receive full funding; additional such students may be funded at a lower rate. All presenters are expected to take full part in the meeting and attend indicated activities sponsored for students on all three days of the conference. Abstracts and student travel grant applications should be submitted at www.maa.org/mathfest/abstracts. For additional information visit www.maa.org/students/undergrad.

**Organizers**:

Theron J. Hitchman, University of Northern Iowa

Jennifer Bergner, Salisbury University

##
Pi Mu Epsilon Student Paper Sessions

Pi Mu Epsilon student speakers must be nominated by their chapter advisors. Application forms for PME student speakers will be available by March 1, 2013 on the PME web site www.pme-math.org. A PME student speaker who attends all the PME activities is eligible for transportation reimbursement up to $600, and additional speakers are eligible with a maximum $1200 reimbursement per chapter. PME speakers receive a free ticket to the PME Banquet with their conference registration fee. See the PME web site for more details.

**Organizer**:

Angela Spalsbury, Youngstown State University