Click here to read the 2016 MAA MathFest Abstract Book

## TCPS #1: Fostering a Problem-Solving Culture for Students

*Thursday, August 4, 1:00 p.m. - 4:15 p.m., Taft A*

All of us have experienced what George Pólya describes as “the tension and triumph of discovery” that comes from solving a difficult problem. This is something numerous faculty endeavor to bring to their students. The purpose of this session is to share ideas for extracurricular activities involving problem-solving events that occur regularly. These can range from Problem of the Day/Week/Month to forming a Problem Solvers Group that meets often to an Annual Inter-Collegiate Problem Contest, and so on. Let us share what worked, what can be improved, and how you entice students to participate. Our desire is for inclusivity, so these events should be open to all students, not just your best math majors. Talks in this session address specifically the aspects of establishing and maintaining a practice of extracurricular problem solving among students and not single undergraduate research projects. We also want to know if these led to more student engagement such as GRE Study clusters, journal problem-solving groups, Putnam involvement, teams for the Mathematical Contest in Modeling, or something else.

**Organizers:**

**J. Lyn Miller, ***Slippery Rock University*

**Ron Taylor, ***Berry college*

**Robert Vallin, ***Lamar University*

#### Creating a Culture of Engagement

*1:00 p.m. - 1:15 p.m.*

**Heidi Hulsizer**, *Benedictine College*

#### Undergraduate Involvement in Problem Solving at Youngstown State University

*1:20 p.m. - 1:35 p.m.*

**George T. Yates**, *Youngstown State University*

#### The Great Escape: Undergraduate Problem Solving for Freedom

*1:40 p.m. - 1:55 p.m.*

**Elizabeth A. Peitz**, *University of Central Florida*

#### Dead Poets Society

*2:00 p.m. - 2:15 p.m.*

**Ron Taylor**, *Berry College*

**Robert Vallin**, *Lamar University*

#### Reflections on a Puzzle-Themed Scavenger Hunt

*2:20 p.m. - 2:35 p.m.*

**Andrew Penland**, *Western Carolina University*

#### Student Problem Solving at Math Club Meetings: You Don't Have To Do It Alone

*2:40 p.m. - 2:55 p.m.*

**Julie Barnes**, *Western Carolina University*

#### Evolution of a Problem-Solving Culture: One Department's Experience

*3:00 p.m. - 3:15 p.m.*

**J. Lyn Miller**, *Slippery Rock University*

#### How to Create It, How to Solve It, and What to Do with It: A Problem-Posing Primer

*3:20 p.m. - 3:35 p.m.*

**Greg Oman**, *University of Colorado, Colorado Springs*

#### Designing an Introductory Seminar To Encourage Problem Solving In Mathematics

*3:40 p.m. - 3:55 p.m.*

**Laurie Zack**, *High Point University*

#### What I Learned and What I Hope Students Learned from Running a Problem Solving Seminar

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

**Nicholas Long**, *Stephen F. Austin State University*

## TCPS #2: Undergraduate Research Activities in Mathematical and Computational Biology

*Saturday, August 6, 1:00 p.m. - 2:15 p.m., Taft A*

This session is dedicated to aspects of undergraduate research in mathematical and computational biology. First and foremost, this session would like to 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. Secondly, 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.

**Organizer:**

**Timothy D. Comar, ***Benedictine University*

BIO SIGMAA

#### Investigating the Dynamics of Self-Catalyzing Reaction Networks

*1:00 p.m. - 1:15 p.m.*

**Ted Theodosopoulos**, *Worcester Academy*

**Patricia Theodosopoulos**, *Worcester Academy*

#### Using Stochastic Leslie Matrix Models to Investigate Stage-Structured Populations Under Changing Environmental Conditions

*1:20 p.m. - 1:35 p.m.*

**Daniel Hrozencik**, *Chicago State University*

#### The Dynamics of Impulsive Models

*1:40 p.m. - 1:55 p.m.*

**Timothy D. Comar**, *Benedictine University*

#### Dynamics of a Two-Vector, Two-Pathogen, Single-Host Model

*2:00 p.m. - 2:15 p.m.*

**Caleb Adams**, *Radford University*

**David DeLara**, *Radford University*

## TCPS #3: Programming in Mathematics Classes and Mathematics for Programming

*Saturday, August 6, 1:00 p.m. - 5:15 p.m., Union A*

This session invites participants to reflect upon their use of computer programming and/or computer algebra systems within their upper-level mathematics curriculum. Implementations using SAGE, Maple Mathematica or other programming/computer algebra environments are welcome. The purpose of this session is to explore the outcomes of different aspects of programming in mathematics education while providing tools and/or examples for anyone that is interested in incorporating more programming into their own curriculum. Presenters will describe the tools used, lessons developed, and examples of student outcomes.

**Organizers:**

**Jacci White, Monika Kiss, and Brian ****Camp**, *Saint** Leo University*

#### Using Python in an Introductory ODE Course

*1:00 p.m. - 1:15 p.m.*

**Patrick Davis**, *Central Michigan University*

#### Computational Number Theory - Quest and Discovery in the Undergraduate Classroom

*1:20 p.m. - 1:35 p.m.*

**Mihai Caragiu**, *Ohio Northern University*

#### Explorations in Financial Mathematics with Fathom

*1:40 p.m. - 1:55 p.m.*

**Klaus Volpert**, *Villanova University*

#### Creating Art Patterns with Math and Code

*2:00 p.m. - 2:15 p.m.*

**Boyan Kostadinov**, *City Tech, CUNY*

#### Maple and mathematica for March Madness

*2:20 p.m. - 2:35 p.m.*

**Chrissy Safranski**, *Franciscan University of Steubenville*

_{Inter} ^{Activity} _{with} ^{Processing}

*2:40 p.m. - 2:55 p.m.*

**Shirley Yap**, *California State University East Bay*

#### Using Python in a Numerical Methods Course

*3:00 p.m. - 3:15 p.m.*

**Brian Heinold**, *Mount St. Mary's University*

#### Programming and Problem Solving: Getting Started on the Right Foot

*3:20 p.m. - 3:35 p.m.*

**Jean Marie Linhart**, *Central Washington University*

**Adam Larios**, *University of Nebraska at Lincoln*

**Josef Sifuentes**, *University of Texas Rio Grande Valley*

#### Using Julia via SageMathCloud in an Introductory Matrix Algebra Course

*3:40 p.m. - 3:55 p.m.*

**Jan Hlavacek**, *Saginaw Valley State University*

#### Using Technology to Implement Discovery Learning in the Classroom

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

**Kevin Murphy**, *Saint Leo University*

#### A Games and Puzzles Class with Programming

*4:20 p.m. - 4:35 p.m.*

**Saúl A. Blanco**, *Indiana University*

#### Maple Implementations in a Cryptology Course

*4:40 p.m. - 4:55 p.m.*

**Manmohan Kaur**, *Benedictine University*

#### The Mathematician as a Programmer

*5:00 p.m. - 5:15 p.m.*

**Brian Camp**, *Saint Leo University*

**Monika Kiss**, *Saint Leo University*

## TCPS #4: CAMP: Calculus Applied Mathematics Projects

*Thursday, August 4, 1:00 p.m. - 3:55 p.m., Franklin A*

Teaching mathematics includes not only helping students learn the material but also appreciating the utility and applicability of those skills in better understanding the world. One technique in achieving this appreciation is through the use of projects which also strengthens inquiry, collaboration, reasoning and communication. However, there are currently limited curricular materials readily available to instructors of single and multivariable calculus. We invite you to come CAMP with us by offering innovative applied mathematics project ideas that can be used in the Calculus sequence.

**Organizers:**

**Ellen Swanson,** *Centre College*

**Emek Kose,** *St. Mary's College of Maryland*

#### Travel Inspired Projects

*1:00 p.m. - 1:15 p.m.*

**Ellen Swanson**, *Center College*

#### The Calculus of New York City’s Subways

*1:20 p.m. - 1:35 p.m.*

**Jared Warner**, *Guttman Community College*

#### Complex, Technology-Based Problems in Calculus

*1:40 p.m. - 1:55 p.m.*

**Brian Winkel, Emeritus of US Military Academy**, *West Point NY and Director of SIMIODE*

#### Using Group Projects to Extend Coverage

*2:00 p.m - 2:15 p.m.*

**Stepan Paul**, *UC Santa Barbara*

#### Cookies and Cars in Calculus

*2:20 p.m. - 2:35 p.m.*

**Stacy Hoehn**, *Franklin College*

#### Calculus in Clinical Medicine: Using the Campus Simulation Center to Motivate and Apply Calculus

*2:40 p.m. - 2:55 p.m.*

**Melissa Stoner**, *Salisbury University*

#### Removing Distortion in Star Images with Calculus

*3:00 p.m. - 3:15 p.m.*

**Christina Selby**, *Rose-Hulman Institute of Technology*

#### Gravity with First Year Calculus

*3:20 pm. - 3:35 p.m.*

**Jerry D. Schermerhorn**, *Owens Community College*

#### The “Force” of Interest

*3:40 p.m. - 3:55 p.m.*

**Victor Piercey**, *Ferris State University*

## TCPS#5: Inviting All Students to Do Mathematics - Engaging Courses, Projects, and Activities for Liberal Arts Students

*Part A: Thursday, August 4, 8:30 a.m. - 10:05 a.m., Union B*

*Part B: Friday, August 5, 8:30 a.m. - 9:45 a.m., Union C*

*Part C: Friday, August 5, 1:00 p.m. - 6:15 p.m., Union C*

All students should have the opportunity to do mathematics in a meaningful way for the sheer fun of it. Such experiences, if well designed, improve students' effective thinking skills, increase their appreciation of the beauty and utility of mathematics, and prepare them to be mathematically-literate members of society. This session invites talks on how we can engage the liberal arts student through courses specifically designed for them. We welcome presentations on innovative course design, pedagogy, projects, or activities, as well as talks on tools used to assess such courses. Presentations should include a research basis for the design or pedagogical choices, a report on outcomes in student learning or attitude, or other evidence of success. Papers about programs demonstrating success engaging students who enter the course reluctant to engage in mathematics are especially encouraged. We also welcome talks on first year seminars or other experiences that engage first year students in doing mathematics as well as Honors courses in mathematics that incorporate the liberal arts.

**Organizers:**

**Jennifer Nordstrom, ***Linfield College*

**Suzanne Doree, ***Augsburg College*

**Sarah Mabrouk, ***Framingham State University*

**Victor Piercey, ***Ferris State University*

**Curriculum Renewal Across the First Two Years (CRAFTY) Committee**

### Part A

*Thursday, August 4, 8:30 a.m. - 10:05 a.m., Union B*

#### Pascal, Rascals and Inquiry

*8:30 a.m. - 8:45 a.m.*

**Philip Hotchkiss**, *Westfield State University*

#### Mathematics around Central Field-Trips

*8:50 a.m. - 9:05 a.m.*

**Brandy Wiegers**, *Central Washington University*

~~How I Spent My Summer Vacation or How to Plan and Organize a Math Study Abroad~~ (CANCELED)

*9:10 a.m. - 9:25 a.m.*

**Pamela Peters**, *San Juan College*

**Lisa Ruffier**, *San Juan College*

#### Making Polynomials Fun for All via Polynomiography

*9:30 a.m. - 9:45 a.m.*

**Bahman Kalantari**, *Rutgers University*

#### Puzzles + Games = Analytical Thinking

*9:50 a.m. - 10:05 a.m.*

**Edmund Lamagna**, *University of Rhode Island*

### Part B

*Friday, August 5, 8:30 a.m. - 9:45 a.m., Union C*

#### Bringing the Arts into a Liberal Arts Math Course

*8:30 a.m. - 8:45 a.m.*

**Angela Brown**, *Sul Ross State University*

#### Puzzles and Paradoxes: Engaging the Interests of Both the Willing and the Reluctant

*8:50 a.m. - 9:05 a.m.*

**Douglas Shier**, *Clemson University*

**Marilyn Reba**, *Clemson University*

#### Mathematics Without Calculations - It’s a Beautiful Thing!

*9:10 a.m. - 9:25 a.m.*

**Jason Molitierno**, *Sacred Heart University*

#### Projects for Poets

*9:30 a.m. - 9:45 a.m.*

**Margaret Boman**, *Harrisburg Area Community College - Lebanon Campus*

### Part C

*Part C: Friday, August 5, 1:00 p.m. - 6:15 p.m., Union C*

#### Using the History of Mathematics to Invigorate Honors Calculus

*1:00 p.m. - 1:15 p.m.*

**Dan Kemp**, *South Dakota State University*

#### A Course on the Mathematics of the Pre-Columbian Americas

*1:20 p.m. - 1:35 p.m.*

**Ximena Catepillan**, *Millersville University of Pennsylvania*

#### Grounding Calculus Learning in the History of Mathematics

*1:40 p.m. - 1:55 p.m.*

**Aaron Trocki**, *Elon University*

#### Integration of Faith and Learning in the Mathematics Curriculum

*2:00 p.m. - 2:15 p.m.*

**Filippo Posta**, *Grand Canyon University*

**Ben Vanderlinden**, *Grand Canyon University*

#### Integration of Faith and Learning in the Mathematics Curriculum

*2:20 p.m. - 2:35 p.m.*

**Jacqueline Brannon Giles**, *CC Central College/Teas Southern University/S.H.A.P.E. Community Center*

#### Divination: Using Excel to Explore Ethnomathematics

*2:40 p.m. - 2:55 p.m.*

**Osman Yurekli**, *Ithaca College*

**Cristina Gomez**, *Ithaca College*

#### Teaching Proofs to Gen Ed-Lib Arts Learners—Leapfrogging Basic Skills Deficits While Building Learner Self-Confidence

*3:00 p.m. - 3:15 p.m.*

**G. Wojnar**, *Frostburg State University*

#### Math as a Creative Art: Reflections on an Honors Proofs Class for Liberal Arts Majors

*3:20 p.m. - 3:35 p.m.*

**Pat Devlin**, *Rutgers University*

**Nora Devlin**, *Rutgers University*

#### Graph Theory: Non-Quantitative Mathematics for Liberal Arts Students

*3:40 p.m. - 3:55 p.m.*

**Jonathan Hulgan**, *Oxford College of Emory University*

#### Quantitative Literacy at Michigan State University: Present Successes and Challenges

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

**Samuel Luke Tunstall**, *Michigan State University*

**Richard Edwards**, *Michigan State University*

**Jeff Craig**, *Michigan State University*

**Andy Krause**, *Michigan State University*

**Vince Melfi**, *Michigan State University*

#### Building Quantitative Reasoning Through Interdisciplinary Theme-Based First-Year Courses

*4:20 p.m. - 4:35 p.m.*

**Rebecca Walker**, *Guttman Community College*

#### Introducing Fermi Problems and the Art of Reckoning to Liberal Arts Students

*4:40 p.m. - 4:55 p.m.*

**Alexander Atwood**, *Suffolk County Community College*

#### Innovations in a Liberal Arts Probability Course

*5:00 p.m. - 5:15 p.m.*

**Michael Weingart**, *Rutgers University*

#### Introductory Statistics - Group Project in a Large Class

*5:20 p.m. - 5:35 p.m.*

**Catherine A. Robinson**, *University of Rhode Island*

#### The Impact of Academic Presentations on Students Understanding of Mathematical Concepts in General Education Mathematics

*5:40 p.m. - 5:55 p.m.*

**Hope Essien**, *Malcolm X College (City Colleges of Chicago)*

#### Revitalizing College Algebra and Pre-Calculus through Curricular Collaboration and Team Teaching with Partner Disciplines in a Liberal Education Program

*6:00 p.m. - 6:15 p.m.*

**Lorraine F. Dame**, *University of Minnesota Rochester*

**Aminul Huq**, *University of Minnesota Rochester*

**Bijaya Aryal**, *University of Minnesota Rochester*

**Xavier Prat-Resina**, *University of Minnesota Rochester*

## TCPS #6: My Favorite Math Circle Problem

*Thursday, August 4, 1:00 p.m. - 5:20 p.m., Franklin C*

A math circle is an enrichment activity for K-12 students or their teachers, which brings them into direct contact with mathematically sophisticated leaders, fostering a passion and excitement for deep mathematics in the participants. Math circles combine significant discovery and excitement about mathematics through problem solving and exploration. Talks in this session will address a favorite problem or topic that was successful with a math circle audience.

**Organizers: **

**Katherine Morrison,** *University of Northern Colorado*

**Philip Yasskin,** *Texas A&M University*

**SIGMAA MCST**

#### Tiling with Pentagons

*1:00 p.m. - 1:15 p.m.*

**Judith Covington**, *LSU Shreveport*

#### The Check Is in the Mail

*1:20 p.m. - 1:35 p.m.*

**Mary Garner**, *Kennesaw State University*

**Virginia Watson**, *Kennesaw State University*

#### Measuring Up: Perfect Rulers

*1:40 p.m. - 1:55 p.m.*

**Chris Bolognese**, *Columbus Academy*

**Raj Shah**, *Math Plus Academy*

#### First Survey of National Association of Math Circles

*2:00 p.m. - 2:15 p.m.*

**Diana White**, *University of Colorado Denver*

**Brandy S. Wiegers**, *Central Washington University, NAMC*

#### Using Tools to Communicate in a Math Teachers’ Circle

*2:20 p.m. - 2:35 p.m.*

**Sandra Richardson**, *National Science Foundation*

#### Making Infinitely Many Mistakes Deliberately -- Iteration

*2:40 p.m. - 2:55 p.m.*

**Robert Sachs**, *George Mason University*

#### Fractals: Theory, Application- and Business Cards?

*3:00 p.m. - 3:15 p.m.*

**Douglas B. Meade**, *University of South Carolina*

#### Stimulating Math Curriculum for Students from Challenging Socio-Economic Backgrounds

*3:20 p.m. - 3:35 p.m.*

**Alessandra Pantano**, *University of California, Irvine*

#### Visualize the Two Conjugate Complex Roots for Quadratic Equations

*3:40 p.m. - 3:55 p.m.*

**Li Feng**, *Albany State University*

**Janis T. Carthon**, *Albany State University*

**Courtney L. Brown**, *Albany State University*

#### Projective Geometry Hidden Inside: Can You Spot It?

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

**Thomas Clark**, *Dordt College*

#### The Mathematics of Shidoku

*4:20 p.m. - 4:35 p.m.*

**Crystal Lorch**, *Ball State University*

**John Lorch**, *Ball State University*

#### Pirate Zombie Math

*4:40 p.m. - 4:55 p.m.*

**Angie Hodge**, *University of Nebraska Omaha*

#### Discussion

*5:00 p.m. - 5:20 p.m.*

**Diana White**, *NAMC*

**Brianna Donaldson**, *AIM*

## TCPS #7: Encouraging Early Career Teaching Innovation

*Part A: Friday, August 5, 1:00 p.m. - 4:55 p.m., Union A*

*Part B: Saturday, August 6, 9:30** a.m. - 11:45 a.m., Union A*

Faculty are eager to offer activities in the classroom that foster student success, but many are not formally trained in pedagogy. Junior faculty in particular may feel overwhelmed with adjusting to a new position, and the need to create an impressive tenure portfolio. This session will consist of presentations of effective and innovative tips, techniques, and tricks that experienced faculty members have used. Talks will address the reasoning behind, design, and implementation of their resource. While these activities may be whole course techniques, we also seek presentations on activities that can be dropped into an existing class to bolster student learning and reflection. Such activities may include exam wrappers, question stems, and IF-AT scratch off cards. Techniques do not have to be original to the presenter, but sources should be credited and proof of success (or failure and redesign) should be given.

We hope that this session will allow junior faculty in particular to be exposed to new, successful techniques that have been vetted by experienced faculty. We would also encourage presenters to be open to being contacted by attendees with questions about implementation, addressing any possible barriers to implementation, etc.

**Organizers:**

**Susan Crook, ***Loras College*

**David Failing, ***Quincy University*

### Part A

*Friday, August 5, 1:00 p.m. - 4:55 p.m., Union A*

#### Teaching Tips and Tricks I Wish I Knew 25 Years Ago!

*1:00 p.m. - 1:15 p.m.*

**Magdalena Luca**, *MCPHS University*

#### Preludes: A Question-Based Approach to Linear Algebra

*1:20 p.m. - 1:35 p.m.*

**Sarah Wolff**, *Denison University*

#### Posing Problems Using the “What-if-not” Strategy in a Geometry Class

*1:40 p.m. - 1:55 p.m.*

**Roger Wolbert**, *University at Buffalo and Edinboro University of PA*

#### A Flipped College Geometry Course

*2:00 p.m. - 2:15 p.m.*

**Ashley Johnson**, *University of North Alabama*

#### Easy Innovations in Real Analysis

*2:20 p.m. - 2:35 p.m.*

**Donna Flint**, *South Dakota State University*

#### Teaching Students to Read Their Textbook

*2:40 p.m. - 2:55 p.m.*

**Jacqueline Jensen-Vallin**, *Lamar University*

#### Improving Proof-Writing with Reading Guides

*3:00 p.m. - 3:15 p.m.*

**Michael Janssen**, *Dordt College*

#### Writing Assignments for Math Courses

*3:20 p.m. - 3:35 p.m.*

**Maria Fung**, *Worcester State University*

#### It’s the Little Things that Matter: Assignments that Go Somewhere

*3:40 p.m. - 3:55 p.m.*

**Nicholas Long**, *Stephen F. Austin State University*

#### Foster Student Understanding with Formal Test Corrections

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

**Kristin Lassonde**, *Klamath Community Colleges*

#### Effective Techniques to Get Students Engaged

*4:20 p.m. - 4:35 p.m.*

**Caroline Maher-Boulis**, *Lee University*

#### Techniquest for Fostering community, Engagement, and Inquiry in Lower Level Classes

*4:40 p.m. - 4:55 p.m.*

**Christopher T. Sass**, *Young Harris College*

### Part B

*Saturday, August 6, 9:30 a.m. - 11:45 a.m., Union A*

#### At the Bell: Designing, Implementing, and Assessing Entrance Quizzes

*9:30 a.m. - 9:45 a.m.*

**Suzanne I. Dorée**, *Augsburg College, Minneapolis*

#### Authentic Applied Problems: Like Story Problems Only Less Stupid

*9:50 a.m. - 10:05 a.m.*

**Dawn Archey**, *University of Detroit Mercy*

#### Quick and Easy Random Groups

*10:10 a.m. - 10:25 a.m.*

**Justin Dunmyre**, *Frostburg State University*

#### Using Microsoft OneNote for Lesson Plans (UPDATED TITLE)

*10:30 a.m. - 10:45 a.m.*

**Michelle Cordier**, *Wheeling Jesuit University*

#### Knowing our Students

*10:50 a.m. - 11:05 a.m.*

**Roberto C. Soto**, *California State University, Fullerton*

#### Me and My Shadow: Teaching Students about Pedagogy

*11:10 a.m. - 11:25 a.m.*

**Brian Katz**, *Augustana College*

#### Using Video to Prompt Reflection in Mathematics Courses for Prospective Elementary Teachers

*11:30 a.m. - 11:45 a.m.*

**Erin Moss**, *Millersville University of Pennsylvania*

## TCPS #8: Formative Assessment Techniques for Undergraduate Math Courses

*Part A: Friday, August 5, 1:00 p.m. - 4:35 p.m., Union B*

Part B: Saturday, August 6, 1:00 p.m. - 3:35 p.m., Union B

Recent trends indicate that formative assessment encourages a growth mindset, reduces test anxiety, and improves student gains in math classrooms. The purpose of this session is to disseminate new approaches to student evaluation that use assessment as a learning experience and help students overcome challenges that disproportionately affect students in math classes, including test anxiety, insufficient prerequisite knowledge, or lack of confidence. Examples of formative assessment include mastery-based testing schemes, feedback on rough drafts of student work, peer review of coursework, and oral exams. The focus of the session is on pedagogical rationales for formative assessment tools, their practical implementation, and their impact on the aforementioned challenges facing students. Speakers should talk about formative assessment techniques they use in these contexts, and provide evidence of how they encourage student success in math courses. In addition, speakers are encouraged to share their experiences and their advice for educators planning to incorporate formative assessment in their classes.

**Organizers:**

**Jarod Hart,** *University of Kansas*

**Alyssa Armstrong,** *Wittenberg University*

**Katie Haymaker,** *Villanova University*

**Mike Janssen,** *Dordt College*

**Austin Mohr,** *Nebraska Wesleyan University*

**Jessica Stewart, ***Christopher Newport University*

**Jessica O'Shaughnessy,*** Shenandoah University*

**Amanda Harsy,** *Lewis University*

### Part A

*Friday, August 5, 1:00 p.m. - 4:35 p.m., Union B*

#### Formative Assessment in the New STEM Prep Pathway

*1:00 p.m. - 1:15 p.m.*

**Frank Savina**, *The Charles A Dana Center, University of Texas at Austin*

**Stuart Boersma**, *Central Washington University*

**Rebecca Hartzler****, ***Seattle Central College*

#### A Formative Assessment Approach to Teaching Integration Techniques

*1:20 p.m. - 1:35 p.m.*

**Jenna P. Carpenter**, *Campbell University*

#### Preparation Assignments and Student Success

*1:40 p.m. - 1:55 p.m.*

**Jeanette Mokry**, *Dominican University*

#### Using Oral Exams to Reinforce Calculus Concepts

*2:00 p.m. - 2:15 p.m.*

**Timothy Boester**, *Wright State University*

#### Oral Reviews:Formative Assessment that Results in Improved Grades, Understanding and Retention

*2:20 p.m. - 2:35 p.m.*

**Mary Nelson**, *George Mason University*

#### Re-Think and Re-Do: A Learning Opportunity

*2:40 p.m. - 2:55 p.m.*

**Sarah L. Mabrouk**, *Framingham State University*

#### Mastery-Based Assessment: An Implementation with Reflective Writing

*3:00 p.m. - 3:15 p.m.*

**Anil Venkatesh**, *Ferris State University*

#### Mastery-Based Exams Are Self-Evidently Better Than Traditional Exams

*3:20 p.m. - 3:35 p.m.*

**Austin Mohr**, *Nebraska Wesleyan University*

#### Mastery Grading in Calculus

*3:40 p.m. - 3:55 p.m.*

**John E. Foster**, *Walla Walla University*

#### Comparing Mastery-Based and Traditional Assessment in Calculus II Courses

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

**Amanda Harsy**, *Lewis University*

#### A Journey Towards Specifications Grading

*4:20 p.m. - 4:35 p.m.*

**Derek Thompson**, *Taylor University *

### Part B

*Part B: Saturday, August 6, 1:00 p.m. - 3:35 p.m., Union B*

#### Using In-Class Assignments in a First Proofs Course

*1:00 p.m. - 1:15 p.m.*

**Gary MacGillivray**, *University of Victoria*

#### Improving and Evaluating Proof Writing in a First Abstract Algebra Course

*1:20 p.m. - 1:35 p.m.*

**Katie Anders**, *University of Texas at Tyler*

#### Using Technology to Provide Effective and Efficient Feedback for Proof-Writing

*1:40 p.m. - 1:55 p.m.*

**Alison G. Lynch**, *California State University, Monterey Bay*

#### Instructor-Led Workshops Provide Formative Assessment

*2:00 p.m. - 2:15 p.m.*

**Amy Cohen**, *Rutgers University*

#### Reading, (W)Riting, Reflecting, and Reviewing: The Four “R’s” of Formative Assessment in Mathematics

*2:20 p.m. - 2:35 p.m.*

**Dave Klanderman**, *Trinity Christian College*

**Sarah Klanderman**, *Michigan State University*

#### Formative Assessment with a Purpose: From Philosophical Considerations to Pragmatic Implementation

*2:40 p.m. -2:55 p.m.*

**Gizem Karaali**, *Pomona College*

#### Considering Influence of Mathematics Students' Characteristics on Successful Use of Formative Assessment

*3:00 p.m. - 3:15 p.m.*

**Allen G. Harbaugh**, *Boston University*

#### The Open Problem Curriculum and the Future of Calculus

*3:20 p.m. - 3:35 p.m.*

**Chandra Kethi-Reddy**, *University of Central Florida*

## TCPS #9: Novel Introductions to Non-Euclidean Geometry

*Thursday, August 4, 1:00 p.m. - 2:15 p.m., Union A*

This session invites presenters to share interesting ways in which to introduce undergraduate students to non-Euclidean geometry. These “tastes” of geometry may be demonstrations, in-class activities, projects, proofs, or ways in which to guide undergraduates to explore and to learn about non-Euclidean geometries. but not those related to differential geometry or (low-level) graduate courses. Those discussing demonstrations or in-class activities are encouraged to share key portions. Presenters should discuss the facets of their approaches which highlight the differences between the geometry being explored and the Euclidean geometry with which undergraduates are familiar. Information regarding prerequisite topics and related areas with which students have difficulty should be discussed as should follow-up topics and problems, if any, experienced when using this approach. Presenters are invited to discuss how they have modified their approaches over time and to share information about successes, failures, and student reaction. Abstracts should include the type of geometry being examined, a brief description of the aspects of this geometry which are introduced, the theorem, if appropriate, the software or application, if any, which may be used, and what makes this approach a unique introduction to non-Euclidean geometry. Those whose presentations are dependent upon software or tablet explorations must provide their own laptop or tablet.

**Organizer:**

**Sarah L. Mabrouk, ***Framingham State University*

#### Bending Students' Intuition

*1:00 p.m. - 1;15 p.m.*

**Thomas Q. Sibley**, *St. John's University, College of St. Benedict*

#### Concrete Conics and Pencils in Projective Geometry

*1:20 p.m. - 1:35 p.m.*

**Michael Hvidsten**, *Gustavus Adolphus College*

#### Explorations Using Cinderella

*1:40 p.m. - 1:55 p.m.*

**Ruth I. Berger**, *Luther College*

#### Introducing Spacetime Geometry: Relativity on Rotated Graph Paper

*2:00 p.m. - 2:15 p.m.*

**Roberto Salgado**, *University of Wisconsin La Crosse*

## TCPS #10: Recreational Mathematics: Puzzles, Card Tricks, Games, Gambling, and Sports

*Part A: Thursday, August 4, 1:00 p.m. - 3:55 p.m., Taft C*

*Part B: Friday, August 5, 1:00 p.m. - 4:55 p.m., Taft C*

Puzzles, card tricks, board games, game shows, gambling, and sports provide an excellent laboratory for testing mathematical strategy, probability, and enumeration. The analysis of such diversions is fertile ground for the application of mathematical and statistical theory. Submissions to this session are encouraged that look at new problems as well as novel solutions to old problems. Submissions by undergraduates or examples of the use of the analysis in the undergraduate classroom are encouraged.

**Organizers:**

**Paul R. Coe**, *Dominican University*

**Kristen Schemmerhorn**, *Concordia University Chicago*

**Sara B. Quinn**, *Dominican University*

### Part A

*Thursday, August 4, 1:00 p.m. - 3:55 p.m., Taft C*

#### Using Algebra to Solve Two Popular Puzzles That Aren't Sudoku

*1:00 p.m. - 1:15 p.m.*

**Stephen Adams**, *Cabrini University*

#### Locker Lotto

*1:20 p.m. - 1:35 p.m.*

**Ying Zhou**, *Rhode Island College*

**Walter G. Gall**, *Rhode Island College*

#### Mathematical Strategies for the Game of SET ^{®}

*1:40 p.m. - 1:55 p.m.*

**Anne Quinn**, *Edinboro University of PA*

#### An Analysis of *Sorry!*

*2:00 p.m. - 2:15 p.m.*

**Gordon A. Swain**, *Ashland University*

#### Chutes and Ladderless

*2:20 p.m. - 2:35 p.m.*

**Darren Glass**, *Gettysburg College*

**Jonathan Needleman**, *LeMoyne College*

**Stephen Lucas**, *James Madison University*

#### Risk and war: Is a Good Offense the Best Defense?

*2:40 p.m. - 2:55 p.m.*

**Flavia Sancier-Barbosa**, *Antioch College*

#### Strategic Placement in *Ticket to Ride*^{©}

*3:00 p.m. - 3:15 p.m.*

**Kimberly Jordan Burch**, *Indiana University of Pennsylvania*

**Rachelle Bouchat**, *Indiana University of Pennsylvania*

**Derek Hanely**, *Indiana University of Pennsylvania*

**Mitchell Ponchione**, *Indiana University of Pennsylvania*

**Aaron Werner**, *Indiana University of Pennsylvania*

#### The Topology of Knight's Tours on Surfaces

*3:20 p.m. - 3:35 p.m.*

**Bradley Forrest**, *Stockton University*

**Kara Teehan**, *Rutgers University*

~~Two-Player games on Arithmetic Expressions, Graphs, and Checkerboards~~ (CANCELED)

*3:40 p.m. - 3:55 p.m.*

**Sarang Aravamuthan**, *Tata Consultancy Services*

### Part B

*Friday, August 5, 1:00 p.m. - 4:55 p.m., Taft C*

#### Winning a Football Pool is Harder Than You Thought

*1:00 p.m. - 1:15 p.m.*

**John Bonomo**, *Westminster College*

#### Goals in Context: An Analysis of Iowa Conference Goal Scorers

*1:20 p.m. - 1:35 p.m.*

**Russell E. Goodman**, *Central College*

#### Non-transitive Swim Meets

*1:40 p.m. - 1:55 p.m.*

**Paul Fonstad**, *Franklin College*

**Justin Armbruster**, *Franklin College*

#### Sequences Related to Bounded Juggling

*2:00 p.m. - 2:15 p.m.*

**Jon Stadler**, *Capital University*

#### What’s Up with Countdown?

*2:20 p.m. - 2:35 p.m.*

Ryan Fox, *Belmont University*

#### The Probability of Joining the Monopoly Millionaires' Club

*2:40 p.m. - 2:55 p.m.*

**Anthony DeLegge**, *Benedictine University*

#### Waiting for a Sequence in Roulette

*3:00 p.m. - 3:15 p.m.*

**Robert W. Vallin**, *Lamar University*

#### Penny Keno and Integer Programming

*3:20 p.m. - 3:35 p.m.*

**Mark Bollman**, *Albion College*

#### Arbitrarily Unfair Card Decks and a Conjecture of Artin

*3:40 p.m. - 3:55 p.m.*

**Jeff Rosoff**, *Gustavus Adolphus College*

#### A Fair-Bold Gambling Function is Simply Singular

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

**Richard D. Neidinger**, *Davidson College*