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Themed Contributed Paper Sessions

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 CampSaint 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 HotchkissWestfield 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 PetersSan 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

Year: 
2016