Contributed Paper Sesssions with Themes

Click here to view the MAA MathFest 2017 Abstract Book

Exploring Zeros of Polynomials

Friday, July 28, 1:00 p.m. - 5:35 p.m., Salon C-6

Mathematics Magazine (June 2016) have focused on intriguing properties of polynomials and their zeros. Given the long, rich history of this topic in mathematics and the wide array of techniques utilized, we believe talks in this area would appeal to a variety of mathematicians and students. Possible topics include extensions of standard results such as Descartes’ rule of signs or the rational roots theorem, dynamics of numerical root finding schemes, interesting graphical properties of sets of zeros, properties of zeros for specific families of polynomials (e.g., cyclotomic polynomials), novel proofs of standard results, and illuminating talks on well-known theorems and conjectures such as the Gauss-Lucas Theorem, Siebeck’s Theorem, and the Sendov Conjecture. Talks that utilize technology to visualize particular phenomena or results are particularly encouraged, as are talks that provide a historical perspective. We are also interested in talks that present open problems suitable for undergraduate research or independent study. Talks in this session should be accessible to advanced undergraduate students.

Organizers:
Michael Brilleslyper and Beth Schaubroeck, U. S. Air Force Academy

When and Why Does Laguerre's Method Misbehave?

1:00 p.m. - 1:15 p.m.
Pavel Belik, Augsburg College

Reimagining Polynomial Root Solutions via Taylor Polynomial Transformations

1:40 p.m. - 1:55 p.m.
Craig J. George, University of Houston

Descartes' (and Budan's and Fourier's) Rules of Signs

2:00 p.m. - 2:15 p.m.
Paul Zorn, Saint Olaf College

Looking for a "Local" Gauss-Lucas Theorem

2:20 p.m. - 2:35 p.m.
Harry Richman, University of Michigan

Geometry of Generalized Cubic Polynomials

2:40 p.m. - 2:55 p.m.
Christopher Frayer, University of Wisconsin-Platteville

Trajectories of Critical Points

3:00 p.m. - 3:15 p.m.
Michael Brilleslyper, U. S. Air Force Academy
Beth Schauboreck, U. S. Air Force Academy

Asymptotics of Random Processes and Zeros of Polynomials

3:20 p.m. - 3:35 p.m.
Barbara Margolius, Cleveland State University

Galois Theory for High School Students

3:40 p.m. - 3:55 p.m.
Jeff Johannes, SUNY Geneseo

Decent Polynomials

4:00 p.m. - 4:15 p.m.
Edward Early, St. Edward's University

The "Look and Say" Polynomial

4:20 p.m. - 4:35 p.m.
Jonathan Martin, Lexington, KY
Andy Martin, Kentucky State University

An Invitation to Polynomiography via Exponential Series

5:00 p.m. - 5:15 p.m.
Bahman Kalantari, Rutgers University

Avoiding Conflict using Zeros of Polynomials

5:20 p.m. - 5:35 p.m.
Axel Brandt, Davidson College

Encouraging Effective Teaching Innovation

Part A: Thursday, July 27, 1:00 p.m. - 4:55 p.m., Salon C-4
Part B: Friday, July 28, 8:30 a.m. - 11:45 a.m., Salon C-4

Faculty are eager to offer activities in the classroom that foster student success, but many are not formally trained in pedagogy. This session will consist of presentations of demonstrably effective and innovative classroom techniques. Talks will address the reasoning behind, design, and implementation of resources or activities. While these activities may be whole course techniques, we also seek presentations of drop-in activities to bolster student learning and reflection in any course. Techniques do not have to be original to the presenter, but sources must be credited and evidence of success (or failure and redesign) is expected. To maximize the session’s usefulness, a Google Drive folder will be created and shared as a repository for the speakers’ slides and supplementary materials.

Organizers:
Susan B. Crook, Loras College
David Failing, Lewis University
Russ Goodman, Central College

Part A

Thursday, July 27, 1:00 p.m. - 4:55 p.m., Salon C-4

Reading Guides Plus Active Learning

1:00 p.m. - 1:15 p.m.
Mary Shepherd, Northwest Missouri State University

Using Think-Pair-Share to Generate Insightful Student Questions

1:20 p.m. - 1:35 p.m.
Jenna P. Carpenter, Campbell University, Buses Creek, NC

Visualizing Mathematical Reasoning: A Diagrammatic Approach

1:40 p.m. - 1:55 p.m.
Rebecca Coulson, Rutgers University
Alejandro Ginory, Rutgers University

Using Portfolio Problems to Develop Metacognitive Thinking During Problem Solving

2:00 p.m. - 2:15 p.m.
Emilie Hancock, University of Northern Colorado
Gulden Karakok, University of Northern Colorado

Applying Cognitive Psychology in the Mathematics Classroom

2:20 p.m. - 2:35 p.m.
Lewis Ludwig, Denison University

UDL Math, What Is It and Why I Need to Know to Engage and Empower My Students

2:40 p.m. - 2:55 p.m.
John McGowan, Texthelp

Can Typesetting Mathematical Notation Improve Student Learning?

3:00 p.m. - 3:15 p.m.
Ksenyia Fuhrman, Milwaukee School of Engineering
Anthony van Groningen, Milwaukee School of Engineering

TA for the Day: Student Leadership in Flipped Calculus Classes

3:20 p.m. - 3:35 p.m.
Trefor Bazett, University of Cincinnati

TACTivities: Learning Tools for the Math Classroom

3:40 p.m. - 3:55 p.m.
Angie Hodge, University of Nebraska Omaha

The Teaching and Learning of Inverses

4:00 p.m. - 4:15 p.m.
Roger Wolbert, Edinboro University of Pennsylvania

Pedagogy for Poets: Guided-Inquiry for Groups in a Course of Mathematics for the Liberal Arts

4:20 p.m. - 4:35 p.m.
William Gryc, Muhlenberg College

History of Mathematics via London, Paris, and CERN

4:40 PM - 4:55 PM
Meri Hughes, University of Mary Hardin-Baylor

Part B

Friday, July 28, 8:30 a.m. - 11:45 a.m., Salon C-4

Using The Maple Technology To Connect Mathematics And Art

8:30 a.m. - 8:45 a.m.
Lina Wu, Borough of Manhattan Community College

A Partially Flipped Model for a College Trigonometry Course

8:50 a.m. - 9:05 a.m.
Ranthony A.C. Edmonds, University of Iowa

Back to the Drawing Board: Reshaping a Math Course in Walt Disney World

9:10 a.m. - 9:25 a.m.
Liz Bouzarth, Furman University
John Harris, Furman University
Kevin Hutson, Furman University

Using Exam Wrappers to Improve Student Outcomes Exam Wrappers to Improve Student Outcomes

9:30 a.m. - 9:45 a.m.
Senan Hayes, Western CT State University
Alicia Maloney, Western CT State University

A Team-Based Learning Approach to Linear Algebra

9:50 a.m. - 10:05 a.m.
Matthew J. Prudente, Saint Vincent College

Using Case Scenarios in Teaching Discrete Mathematics

10:10 a.m. - 10:25 a.m.
Feryal Alayont, Grand Valley State University

The Pythagorean Theorem: A Gateway to Proofs

10:30 a.m. - 10:45 a.m.
Andrew J. Miller, Belmont University

Encouraging Metacognition Through Reflection Papers

10:50 a.m. - 11:05 a.m.
Jacqueline Jensen-Vallin, Lamar University

Comparing Mastery-based and Traditional Assessment in Calculus II Courses

11:10 a.m. - 11:25 a.m.
Amanda Harsy, Lewis University

Using Points-Free Grading to Promote Perseverance (CANCELED)

11:30 a.m. - 11:45 a.m.
Austin Mohr, Nebraska Wesleyan University

Math Potluck: A Student Swap Session

Saturday, July 29, 1:00 p.m. - 2:55 p.m., Salon A-4

Calling all undergrads and faculty advisors! Does your department have (or want!) a Math Club or student chapter of the AWM, MAA, PME, or SIAM? This session will provide a forum for sharing your favorite or most successful student activity. The presenter(s) will provide a "how-to" for a single math event that a math club or student chapter has held. Together, we will build a toolbox of successful activities to take back to each of our campuses! Following the morning presentations, a free lunch will be held for all presenters and attendees of this session to promote continued discussion and collaboration amongst participants. Please indicate in your abstract submission whether your group is a Math Club or student chapter of AWM, MAA, PME, or SIAM.

Organizers:
Alissa Crans, Loyola Marymount University
Jacqueline Jensen-Vallin, Lamar University
Candice Price, University of San Diego
Alejandra Alvarado, Eastern Illinois University
Dora Ahmadi, Morehead State University
Timothy Fest, SIAM
Angela Spalsbury, Youngstown State University

This session is jointly sponsored by the AWM, MAA, PME, and SIAM

Job Wanted: Building a Math Club Talk About Internships and Career Opportunities

1:00 p.m. - 1:15 p.m.
Katie Anders, University of Texas at Tyler

"Bigs and Littles" Mentoring Program: Confronting the "Leaky Pipeline Effect"

1:20 p.m. - 1:35 p.m.
Monica E. Busser, Youngstown State University

The PME Ohio Xi Chapter Regional Conference: A How-To Guide

1:40 p.m. - 1:55 p.m.
Gabbie Van Scoy, Youngstown State University
Natalie Halavick, Youngstown State University

Open Source Hack Day at CSU East Bay

2:00 p.m. - 2:15 p.m.
Linda Beverly, CSU East Bay

Mathematical Modeling Contests for College Students

2:20 p.m. - 2:35 p.m.
Leonida Ljumanovic, UW-Platteville

So You Think You Know Math: The Math Club Game Show!

2:40 p.m. - 2:55 p.m.
Paul Fonstad, Franklin College

Online Assessment: Where We Have Been, Where We Are, and Where We Are Going

Saturday, July 29, 1:00 p.m. - 3:35 p.m., Salon C-6

Online assessment is now a common part of the academic experience for faculty and students. The technology has been around long enough to evolve substantially from early implementations. The purpose of this session is to allow faculty to share what is new, what they are hoping for in the future, and what have we learned from present and past implementations of the systems. We also invite contributions regarding pedagogical issues surrounding the use of these resources.

We are seeking expository talks on what resources are available, demonstrations, and innovative ideas as well as scholarly talks about the effectiveness of online assessment resources. Talks on online homework, placement testing, just in time resources, and other forms of online assessment are welcome.

Organizers:
Barbara Margolius, Cleveland State University
John Travis, Mississippi College

Committee on Technology in Mathematics Instruction (CTIME)
SIGMAA on Mathematics Instruction Using the WEB (Web SIGMAA)

A Decade of Online Assessment at The University of Illinois

1:00 p.m. - 1:15 p.m.
Alison Reddy, Univeristy of Illinois

Building Online Assessments for Introductory Statistics

1:20 p.m. - 1:35 p.m.
Brooke Buckley, Northern Kentucky University

Using Online Technology to Improve Student Performance in Mathematics Courses

1:40 p.m. - 1:55 p.m.
Michael B. Scott, California State University, Monterey Bay

Asynchronous Online Office Hours with WeBWorK

2:05 p.m. - 2:15 p.m.
K. Andrew Parker, NYC College of Technology

Shifting to Conceptual Mathematics Teaching: What is Needed from an Online Homework System

2:20 p.m. - 2:35 p.m.
Grant Sander, Arizona State University

Scaffolding Online Math Homework for Effective Assessment

2:40 p.m. - 2:55 p.m.
Kristin Lassonde, Contra Costa College

Gratitude to Online Assessment -- from COW to Now

3:00 p.m. - 3:15 p.m.
Aparna Higgins, University of Dayton

A Three Year Journey With Online Homework

3:20 p.m. - 3:35 p.m.
Jennifer Szczesniak, Hagerstown Community College

Writing Across the Curriculum in Mathematics

Part A: Friday, July 28, 11:10 a.m. - 11:45 a.m., Salon A-2
Part B: Friday, July 28, 1:00 p.m. - 4:55 p.m., Salon A-2

Many institutions have adopted “Writing Across the Curriculum” programs and implemented first-year writing seminars. Even when such programs are not in place, instructors are becoming increasingly aware of research that has identified writing as a high impact practice for enhancing student learning. In particular, writing-based assessments help students to shift focus from grades to deep learning and to develop skills that transcend any one subject area. In all levels of math courses, writing assignments can be used to develop critical thinking skills, provide a better understanding of logical argument, and engage students who may otherwise be left behind. This session invites talks on all aspects of writing in mathematics, especially those pertaining to Writing Across the Curriculum programs. We also welcome presentations on the implementation of Writing to Learn principles in math courses, training of students in discipline-specific skills such as proof writing, and interdisciplinary writing initiatives.

Organizers:
Anil Venkatesh, Ferris State University
Benjamin Gaines, Iona College
Victor Piercey, Ferris State University

The SIGMAA on Inquiry-Based Learning (SIGMAA IBL)

Part A

Friday, July 28, 11:10 a.m. - 11:45 a.m., Salon A-2

(Writing Enriched) Introduction to Proofs

11:10 a.m. - 11:25 a.m.
Katharine Shultis, Gonzaga University

Students' Experiences in a Transition to Proof Course

11:30 a.m. - 11:45 a.m.
Visala R. Satyam, Michigan State University
Mariana Levin, Western Michigan University
John P. Smith, Michigan State University
YoungGon Bae, Michigan State University
Kevin Voogt, Michigan State University

Part B

Friday, July 28, 1:00 p.m. - 4:55 p.m., Salon A-2

Writing to Learn Journals in a Math for Elementary Teachers Course

1:00 p.m. - 1:15 p.m.
Maria Fung, Worcester State University

Student Writing as a Tool for Synthesizing Ideas in Calculus

1:20 p.m. - 1:35 p.m.
Sarah Wolff, Denison University

Do Students Really  Understand What They're Doing?

1:40 p.m. - 1:55 p.m.
Jason Molitierno, Sacred Heart University

Reflection Writing in Applied Calculus and Statistics Courses

2:00 p.m. - 2:15 p.m.
Chris Oehrlein, Oklahoma City Community College

Summative Portfolios in Mathematics Courses

2:20 p.m. - 2:35 p.m.
Sarah Hanusch, SUNY Oswego

Writing in Geometry Course

2:40 p.m. - 2:55 p.m.
Yelena Vaynberg, LTU

Using Discussion Boards and Papers in an Introductory Statistics Course

3:00 p.m. - 3:15 p.m.
Edwin P. Herman, University of Wisconsin-Stevens Point

Scientific Writing? What Is That?

3:20 p.m. - 3:35 p.m.
Magdalena Luca, Mass College of Pharmacy

Mathematical Writing Through Group Projects

3:40 p.m. - 3:55 p.m.
Dan Kemp, South Dakota State University

Writing on the Mathematics of a Great Mathematician from History

4:00 p.m. - 4:15 p.m.
Daniel Kiteck, Indiana Wesleyan University

Making Writing Meaningful in an Entry Level Math Course

4:20 p.m. - 4:35 p.m.
Emlee Nicholson, Millsaps College

Incorporating Reading/Writing Assignments into a Liberal Arts Mathematics Course

4:40 p.m. - 4:55 p.m.
Adam Giambrone, University of Connecticut

Enrichment, Experiences, and Examples with Modeling in Differential Equations Courses

Thursday, July 27, 1:00 p.m. - 4:15 p.m., Salon A-4

This session features talks in which colleagues who are using mathematical modeling to motivate the learning of differential equations share their experiences and mathematical offerings. Hopefully, others will be able to incorporate or build on these activities in their own course. We are interested in talks which feature real data (either collected or taken from the literature, or found online) and a full modeling process for students, i.e. stating assumptions, making identifications, creating a differential equation model, developing solution strategies, performing parameter estimations, rendering model validation, and iterating this process. Some evidence of the success of individual approaches should be offered. Presenters are encouraged to submit articles based on their presentation for consideration in a special issue of PRIMUS entitled, A Modeling First Approach to Teaching Differential Equations.

Organizers:
Brian Winkel, SIMIODE Director
Ellen Swanson, Centre College
Chris McCarthy, Borough of Manhattan Community College, CUNY

What Can You Learn from Doing Modeling in a Differential Equations Course?

1:00 p.m. - 1:15 p.m.
Brian Winkel, Emeritus, US Military Academy, West Point NY

A Modeling First Approach in a Tradition Differential Equations Class

1:20 p.m. - 1:35 p.m.
Rosemary Farley, Manhattan College
Patrice Tiffany, Manhattan College

Inheritance: How Much Money Did I Really Receive?

1:40 p.m. - 1:55 p.m.
Ellen Swanson, Centre College

Human Population Modeling

2:00 p.m. - 2:15 p.m.
Jean Marie Linhart, Central Washington University

Using Harvesting Models to Teach Modeling Techniques, Bifurcation Analysis, and Solution Methods in Ordinary Differential Equations

2:20 p.m. - 2:35 p.m.
Danilo Diedrichs, Wheaton College

Pharmacokinetic Models for Active Learning

2:40 p.m. - 2:55 p.m.
Therese Shelton, Southwestern University
Theresa Laurent, St. Louis College of Pharmacy
Beulah Agyemang-Barimah, Southwestern University

Simulation of Adsorption Models—Instantaneous & Non-Instantaneous Mixing

3:00 p.m. - 3:15 p.m.
Chris McCarthy, Borough of Manhattan Community College
Jieying Li, Borough of Manhattan Community College
Jie Lan, Borough of Manhattan Community College

Verifying Two-Dimensional Groundwater Flow Models

3:20 p.m. - 3:35 p.m.
Michael Karls, Ball State University

An Unstoppable Force Meets an Immovable Object

3:40 p.m. - 3:55 p.m.
James S. Sochacki, James Madison University
Roger J. Thelwell, James Madison University
Anthony Tongen, James Madison University

Fine Tuning Torricelli’s Law: Multiple Approaches to Estimating the Discharge Coefficient

4:00 p.m. - 4:15 p.m.
Reza O. Abbasian, Texas Lutheran University
John T. Sieben, Texas Lutheran University

Connecting Introductory Mathematics Courses to Students’ Intended Majors and Careers

Friday, July 28, 1:00 p.m. - 4:55 p.m., Salon C-4

This session explores the many ways in which introductory mathematics courses can be created or renewed to meet the needs of the partner disciplines and lay the groundwork for students' future careers. For example, talks may share novel activities, examples, or projects suitable for introductory mathematics courses that showcase how mathematics is used in the partner disciplines or in specific careers. Presentations may describe curricular innovations, such as courses or pathways, which were designed or revised to support students from specific majors or on specific career paths. Talks may describe successful course-embedded strategies that help first-year students discern their major or career path. Presentations may report on models for collaboration between mathematics faculty and faculty from other departments or people from industry on the introductory mathematics curriculum. Each talk should address some aspect of how introductory mathematics courses can be aligned with external needs of students’ intended majors or careers.

Organizers:
Rebecca Hartzler, University of Texas-Austin
Suzanne I. Dorée, Augsburg College
Susan Ganter, Virginia Polytechnic Institute and State University
Thomas A. Hoft, University of St. Thomas

Curriculum Renewal Across the First Two Years (CRAFTY) Committee
Business, Industry, and Government Special Interest Group of the MAA (BIG-SIGMAA)

A 3-Pronged Approach for Helping Students Discover Careers in the Mathematical Sciences

1:00 p.m. - 1:15 p.m.
Lisa Holden, Northern Kentucky University
Brooke Buckley, Northern Kentucky University
Dhanuja Kasturiratna, Northern Kentucky University

Freshman Seminar in Applied Math: A Lesson in Adaptive Teaching

1:20 p.m. - 1:35 p.m.
Jenna Reis, Fitchburg State University

Math 299s: Introduction to the Math Major

1:40 p.m. - 1:55 p.m.
Brandy S. Wiegers, Central Washington University

Teaching Simulation in an Introductory Operations Research Course

2:00 p.m. - 2:15 p.m.
Timothy Yusun, Simon Fraser University
Tamon Stephen, Simon Fraser University

Community Based Learning in an Introduction to Data Course

2:20 p.m. - 2:35 p.m.
Phong Le, Goucher College

Customizing a Statistics Course for Business Majors

2:40 p.m. - 2:55 p.m.
Anders Hendrickson, St. Norbert College

Incorporating Partner Discipline Voices in Retooling Introductory Statistics in Washington State

3:00 p.m. - 3:15 p.m.
Helen E. Burn, Highline College

The Right Math for the Right Student at the Right Time: Facilitating Multidisciplinary Discussions

3:20 p.m. - 3:35 p.m.
Francisco Savina, The Charles A. Dana Center at The University of Texas at Austin

Renovating Calculus Through Conversations with the Partner Disciplines

3:40 p.m. - 3:55 p.m.
Suzanne I. Dorée, Augsburg College
Pavel Belik, Augsburg College
Jody Sorensen, Augsburg College

Pre-calculus Student Activities for STEM Intending Students

4:00 p.m. - 4:15 p.m.
Stuart Boersma, Central Washington University

Winning Students from Several Disciplines with a Course in Evolutionary Game Theory

4:20 p.m. - 4:35 p.m.
Robert G. Root, Lafayette College

Realistic Examples of Bayes's Rule from Cybersecurity

4:40 p.m. - 4:55 p.m.
Gregory V. Bard, University of Wisconsin--Stout

Undergraduate Research Activities in Mathematical and Computational Biology

Friday, July 28, 1:00 p.m. - 3:35 p.m., Salon A-4

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. Finally, the session also welcomes the presentation of materials and project ideas that can be used to help get students started in research in mathematical and computational biology.

Organizer:
Timothy D. Comar, Benedictine University

The SIGMAA on Mathematical and Computational Biology (BIO SIGMAA)

Tiered Mentoring in REUs: DNA Nanostructure Self-Assembly Case Study

1:00 p.m. - 1:15 p.m.
Ada N. Morse, University of Vermont

An Age-Structured Pulse Vaccination Model for HPV

1:40 p.m. - 1:55 p.m.
Timothy D. Comar, Benedictine University

My Mathematical Mice - Modeling Neuroblastoma Tumor Growth in Mice using a System of Ordinary Differential Equations (CANCELED)

2:00 p.m. - 2:15 p.m.
Yixuan He, Dartmouth College
Dorothy I. Wallace, Dartmouth College
Anita Kodali, Dartmouth College

A Simplification and Quantitative Analysis of Stress Reaction System- HPA Axis

2:20 p.m. - 2:35 p.m.
Pengcheng Xiao, University of Evansville
Adam Lonnberg, University of Evansville

Feedback-Mediated Dynamics in a Model of a Long-Looped Nephron

2:40 p.m. - 2:55 p.m.
Hwayeon Ryu, University of Hartford
Quinton Neville, St. Olaf College

Artificial Neural Networks (ANN) Applied to Monte Carlo and Molecular Dynamic Simulations

3:00 p.m. - 3:15 p.m.
Barry C. Husowitz, Wentworth Institute of Technology

Undergraduate Research on Discrete Models of the Impact of Drought and Invasive Crayfish on California Newt Populations

3:20 p.m. - 3:35 p.m.
Courtney L. Davis, Pepperdine University
Timothy A. Lucas, Pepperdine University

Data Science: Big Data, Big Questions

Friday, July 28, 8:30 a.m. - 12:05 p.m., Salon A-1

Data Science. What is it? Why is it important? Who is doing it? How are you using it? Is it only Business Analytics? Come and share your experience as you learn from others about the innovative and quickly growing interest in Data Science. We encourage the submission of scholarly work, including, but not limited to, original research, innovative ideas, demonstrations, problems, applications, projects, curricular materials, single class descriptions, whole course outlines, and whole programs. Proposals will be selected that show innovation, detail, and evidence based results with a primary focus on pedagogy and curriculum related to data science.

Organizers:
Jacci White, Monika Kiss, and Brian Camp, Saint Leo University

Building the Data Science Path Science Path

8:30 a.m. - 8:45 a.m.
Brian Camp, Saint Leo University
Monika Kiss, Saint Leo University
Jacci White, Saint Leo University

Developing an Academic Data Science Program

8:50 a.m. - 9:05 a.m.
James Quinlan, University of New England

Learning by Doing: Data Science for Mathematics and Statistics Undergraduates through Experiential Learning Collaboration with Industry Clients

9:10 a.m. - 9:25 a.m.
Marcus L. Walker, University of Minnesota Duluth

Modeling Expenses and Liabilities in an Army Accounting System

9:30 a.m. - 9:45 a.m.
Christopher Thron, Texas A&M University-Central Texas
Lucas Brandt, Texas A&M University-Central Texas

Big Data Bigger Mathematics: How Math Impacts Big Data and How College Curriculum Reflects This

9:50 a.m. - 10:05 a.m.
Joan E. DeBello, St. John's University

Ingredients for a Worthwhile Data Analytics In-Class Project: A Comedian, Some Software, and Lots of Curiosity!

10:10 a.m. - 10:25 a.m.
Russ Goodman, Central College

Class Projects Dealing with Big Data

10:30 a.m. - 10:45 a.m.
Aihua Li, Montclair State University

Robust PCA and the Analysis of Surveillance Video

10:50 a.m. - 11:05 a.m.
Andy Keck, Western State Colorado University

Big Data and the Professional Workplace

11:10 a.m. - 11:25 a.m.
John P. Boardman, Franklin College

The Data Science of Fitting a Dinosaur

11:30 a.m. - 11:45 a.m.
Boyan Kostadinov, City Tech, CUNY

Clustering Algorithms and an Application to Acoustic Radiation Force Impulse (ARFI) Imaging

11:50 a.m. - 12:05 p.m.
Amanda J. Mangum, Niagara University
Mansoor Haider, North Carolina State University

Mathematics in Video Games

Saturday, July 29, 9:30 a.m. - 10:25 a.m., Salon A-5

Video games are a ubiquitous part of popular culture. While it is generally accepted that developing a video game often requires the application of mathematics, many neglect the fact that mathematical principles may appear in how one plays the game. This session seeks presentations of mathematical problems and solutions that may appear in the development or play of modern games. Presenters are encouraged to show college-level mathematics that might appear in a range of courses. We broadly interpret video games to range from single-player to massively multiplayer and to include games played on various types of devices (console, mobile, etc.). This session will be of interest to gamers and instructors looking for innovative examples to use in their classes.

Organizers:
Heidi Hulsizer and Nickolas Hein, Benedictine College

The Skyrim Problem

9:30 a.m. - 9:45 a.m.
Andrew Sward, Augustana College
Dat Tran, Augustana College
Lan Dang, Augustana College

The Mathematics Behind The Hands of Time From Final Fantasy

9:50 a.m. - 10:05 a.m.
Kevin Murphy, Saint Leo University

Partitions by Harmonic Means and the Damage-Per-Second Indicator

10:10 a.m. - 10:25 a.m.
Anil Venkatesh, Ferris State University

Recreational Mathematics: Puzzles, Card Tricks, Games, Gambling and Sports

Part A: Thursday, July 27, 2:00 p.m. - 4:35 p.m., Salon A-1
Part B: Friday, July 28, 2:00 p.m. - 4:55 p.m., Salon A-1

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. Solutions to new problems as well as novel solutions to old problems are welcome. Submissions by undergraduates or examples of the use of the solutions of these problems in the undergraduate classroom are encouraged.

Organizers:
Paul R. Coe and Sara B. Quinn, Dominican University
Kristen Schemmerhorn, Concordia University Chicago

Part A

Thursday, July 27, 2:00 p.m. - 4:35 p.m., Salon A-1

The BINGO Paradox

2:00 p.m. - 2:15 p.m.
Arthur Benjamin, Harvey Mudd College

Lucky Lines, Lucky links, And The Probability Of Crushing Disappointment

2:20 p.m. - 2:35 p.m.
Mark Bollman, Albion College

Some New Problems from Two Old Sources

2:40 p.m. - 2:55 p.m.
Robert W. Vallin, Lamar University

Logs and Explorations: Investigating a Classic of Magic

3:00 p.m. - 3:15 p.m.
John Harris, Furman University

Question Puzzles

3:20 p.m. - 3:35 p.m.
Jason Rosenhouse, James Madison University

Finite Group KenKen

3:40 p.m. - 3:55 p.m.
David Nacin, William Paterson University

NFL Team Ranking Methods and Their Abilities to Predict Games

4:00 p.m. - 4:15 p.m.
Eric Eager, University of Wisconsin - La Crosse

Systematic Counting, Binomial Coefficients, World Series Scenarios and the 2016 World Champion Chicago Cubs

4:20 p.m. - 4:35 p.m.
Jay L. Schiffman, Rowan University

Part B

Friday, July 28, 2:00 p.m. - 4:55 p.m., Salon A-1

A Mathematical Analysis of Social Math

2:00 p.m. - 2:15 p.m.
Anne Quinn, Edinboro University of PA

TransAmerica and the Shortest Pat Problem on Triangular Grids

2:20 p.m. - 2:35 p.m.
Jie Mei, University of Rhode Island
Edmund A. Lamagna, Department of Computer Science and Statistics, University of Rhode Island

The n+k Kings Problem

2:40 p.m. - 2:55 p.m.
Doug Chatham, Morehead State University

Mathematical Explorations with Swish

3:00 p.m. - 3:15 p.m.
Dana P. Rowland, Merrimack College

How to Win at Tenzi

3:20 p.m. - 3:35 p.m.
Steve Bacinski, Davenport University
Tim Pennings, Davenport University
Stefana Rusu, Davenport University

The Expected Length of a Game of Tenzi

3:40 p.m. - 3:55 p.m.
Mark R. Snavely, Carthage College

Probability Questions from the Game Pickomino

4:00 p.m. - 4:15 p.m.
Brian Heinold, Mount St. Mary's University

Computer Simulations as a Lens into the Mathematics of Crazy Eights and Farkle

4:20 p.m. - 4:35 p.m.
Stacy L. Hoehn, Franklin College

Card Games in an Undergraduate Geometry Course

4:40 p.m. - 4:55 p.m.
Cherith Tucker, Oklahoma Baptist University

My Favorite Math Circle Problem

Part A: Thursday, July 27, 1:00 p.m. - 3:55 p.m., Salon C-1 & C-2
Part B: Friday, July 28, 1:00 p.m. - 3:55 p.m., Salon C-1 & C-2

A math circle is an 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.

Papers in this session highlight either a favorite problem from a math circle, or favorite collection of problems used together for one or two sessions of a math circle. Contributed papers should describe the launch of the problem, what happens during the circle, and ways of ``wrapping up'', even if that doesn't involve answering the problem.

Organizer:
Bob Klein, Ohio University

The SIGMAA on Math Circles for Students and Teachers (SIGMAA MCST)

Part A

Thursday, July 27, 1:00 p.m. - 3:55 p.m., Salon C-1 & C-2

Superfactorials and Perfect Squares

1:00 p.m. - 1:15 p.m.
Diana White, University of Colorado Denver

Mathematical Ciphers: A Math Teachers' Circle Day Long Workshop

1:20 p.m. - 1:35 p.m.
David Crombecque, USC

Divide Your Cake (and Eat it, Too!)

1:40 p.m. - 1:55 p.m.
Mike Janssen, Dordt College

Islamic Geometric Pattern

2:00 p.m. - 2:15 p.m.
Rebin Muhammad, Ohio University

The Dissemination of Gossip

2:20 p.m. - 2:35 p.m.
Parth Sarin, A&M Consolidated High School
Philip B. Yasskin, Texas A&M University

Bulgarian Solitaire

2:40 p.m. - 2:55 p.m.
Douglas O'Roark, Math Circles of Chicago

Frogs and Toads

3:00 p.m. - 3:15 p.m.
Peter Tingley, Loyola University Chicago

Math News Snapshots for Senior High School Students (CANCELED)

3:20 p.m. - 3:55 p.m.
Nitsa B. Movshovitz-Hadar, Technion - Israel Inst. of Technology

Part B

Friday, July 28, 1:00 p.m. - 3:55 p.m., Salon C-1 & C-2

Great Problems, Great Sessions, Great Circles

1:00 p.m. - 1:15 p.m.
Brianna Donaldson, American Institute of Mathematics

Exploring Patterns with Technology

1:20 p.m. - 1:35 p.m.
Jonas Meyer, Loras College
Amanda Matson, Clarke University

Problems with a Twist

1:40 p.m. - 1:55 p.m.
Gabriella Pinter, University of Wisconsin-Milwaukee

Recognizing Group Structure in Shapes and Images

2:00 p.m. - 2:15 p.m.
Angela Antonou, University of St. Francis
Mallory Johnson, University of St. Francis

Middle School Math Circle Problems

2:20 p.m. - 2:35 Pp.m.
Monika Kiss, Saint Leo University
Rachel Cunio, Saint Leo University

Roman Numeral Poker: Hilarity Did Ensue

2:40 p.m. - 2:55 p.m.
J. Lyn Miller, Slippery Rock University

Mathematical Explorations of Musical Scales

3:00 p.m. - 3:15 p.m.
Cory Johnson, California State University, San Bernardino
Jeremy Aikin, California State University, San Bernardino

Quilting Squares in a Math Circle

3:20 p.m. - 3:35 p.m.
Katie Haymaker, Villanova University

Math Unbounded: Math Circles without Borders

3:40 p.m. - 3:55 p.m.
Bob Klein, Ohio University

Innovative Approaches to Calculus Preparation

Part A: Thursday, July 27, 1:00 p.m. - 3:55 p.m., Salon A-3
Part B: Friday, July 28, 8:30 a.m. - 11:05 a.m., Salon A-3

Success in most science, technology, engineering and mathematics (STEM) fields relies on calculus, and success in calculus relies on a good foundation in algebra and trigonometry. Although many students get that foundation in high school, many others – including many members of at-risk populations – arrive at college deficient in the basic skills they need for success in calculus. Most of these students have taken some variety of precalculus course, and repeating the same material, only faster, is often not an effective strategy. The aim of this session is for teachers and researchers to share ideas for how to improve the preparation of students for the study of calculus at the college level. We invite scholarly presentations of ideas to improve success in calculus among underprepared students. Such ideas may include, but are not limited to: research on student preparation or improvements in placement; research demonstrating effective instructional strategies, innovative classroom activities or pedagogies; redesigned prerequisite sequences or intervention strategies.

Organizers:
Benjamin V.C. Collins and Jennifer Good, University of Wisconsin-Platteville
Nathan Warnberg, University of Wisconsin-La Crosse

Part A

Thursday, July 27, 1:00 p.m. - 3:55 p.m., Salon A-3

Rethinking Calculus 1 at a Metropolitan University

1:00 p.m. - 1:15 p.m.
Britney Hopkins, University of Central Oklahoma
Kristi Karber, University of Central Oklahoma

Analysis of ALEKS Mathematics Placement Test Data

1:20 p.m. - 1:35 p.m.
Teresa Woods, Michigan Technological University

Hits and Misses While Preparing Students for Calculus and Physics

1:40 p.m. - 1:55 p.m.
Grace E. Cook, Bloomfield College

Modernizing the Pathway to Calculus: Lessons Learned at Palomar College

2:00 p.m. - 2:15 p.m.
John Harland, Palomar College
Frank Savina, The Charles A. Dana Center at the University of Texas at Austin

Redesigning the Pathway to Calculus

2:20 p.m. - 2:35 p.m.
Emily Gismervig, University of Washington Bothell

Effects of a Change in Calculus Placement: A Four-Year Study

2:40 p.m. - 2:55 p.m.
Ryan Stuffelbeam, Transylvania University

Course Innovation Experiences for Calculus I Teaching at UHD

3:00 p.m. - 3:15 p.m.
Linda Becerra, UH-Downtown
Jeong-Mi Yoon, UH-Downtown

Active Learning in Trigonometry

3:20 p.m. - 3:35 p.m.
Steven Schlicker, Grand Valley State University
Ted Sundstrom, Grand Valley State University

The Use of Drawing As a Cognitive Tool in Undergraduate Mathematics

3:40 p.m. - 3:55 p.m.
Mile Krajcevski, University of South Florida
Deniz Kardes, University of South Florida

Part B

Friday, July 28, 8:30 a.m. - 11:05 a.m., Salon A-3

Innovative Methods in the Teaching of Pre-Calculus in an Emporium Setup

8:30 a.m. - 8:45 a.m.
Keith Carlson, University of Central Florida

Everyone's a Math Major Creates Optimal STEM Mindset

8:50 a.m. - 9:05 a.m.
Gary Hagerty, Boise State University

Preparing to Study Trigonometry through Primary Historical Sources

9:10 a.m. - 9:25 a.m.
Daniel E. Otero, Xavier University

Developing Students’ Understanding of Exponential Growth: A Research-Based Solution

9:30 a.m. - 9:45 a.m.
Alan E. O'Bryan, Arizona State University

Directionality of the Equals Sign

9:50 a.m. - 10:05 a.m.
Whitney George, University of Wisconsin-La Crosse
Tushar Das, University of Wisconsin-La Crosse
Nathan Warnberg, University of Wisconsin-La Crosse

A Unique Application of the Moore Method of Teaching College Precalculus

10:10 a.m. - 10:25 a.m.
Paul Howard, Oklahoma Christian University

Mathematical Maturity: Dualities, Domination, Approximation, Fixed Points, Slopes, etc.-- Concepts & Notations in Pre-Calculus

10:30 a.m. - 10:45 a.m.
G. Gerard Wojnar, Frostburg State University

Flipping the Precalculus Classroom

10:50 a.m. - 11:05 a.m.
Benjamin V.C. Collins, University of Wisconsin-Platteville

Euclid and the Mathematics of Antiquity in the 21st Century

Saturday, July 29, 1:00 p.m. - 4:15 p.m., Salon A-1

Euclid's Elements is a fundamental text of mathematics in the western tradition. Geometry, number theory, logic, and the axiomatic method: all bear Euclid’s stamp. Moreover, the Elements was considered a central text of every liberal arts education well into the nineteenth century, more than two millennia after its writing.

The recent centennial of the MAA provides a fitting occasion on which to revisit the influence of mathematics's past on future mathematics and culture. We seek contributions that relate the work of Euclid or other mathematicians of antiquity to modern mathematics or the modern undergraduate curriculum. Original research, unique expositions, descriptions of courses with a significant integration of the mathematics of antiquity, and curricular materials are all welcome.

Organizers:
Elizabeth T. Brown, James Madison University
Edwin O'Shea, James Madison University

History of Mathematics SIGMAA (HOM SIGMAA)

Bring Back the Pappus-Guldin Theorems

1:00 p.m. - 1:15 p.m.
Andrew Leahy, Knox College

A Course in Geometry Based on Historical Sources

1:20 p.m. - 1:35 p.m.
Jerry Lodder, New Mexico State University

Euclid's Geometry Is Physical, Not Abstract

1:40 p.m. - 1:55 p.m.
Viktor Blasjo, Utrecht University

My Big Fat Greek Course

2:00 p.m. - 2:15 p.m.
Charlie Smith, Park University

Rationals, Irrationals, and Commensurable Magnitudes: Euclid and the Real Numbers

2:20 p.m. - 2:35 p.m.
Jeffrey Clark, Elon University

Solving Quadratic Equations with Geometric Algebra

2:40 p.m. - 2:55 p.m.
J Christopher Tweddle, Governors State University

Climbing Greek Ladders to Reach for Eigenvectors

3:00 p.m. - 3:15 p.m.
Ian Pierce, US Air Force Academy
Kurt Herzinger, US Air Force Academy
Courtney Kunselman, US Air Force Academy

FYS: Math of the Middle East and North Africa

3:20 p.m. - 3:35 p.m.
Kathi Crow, Salem State University

The Mathematics of the Sphaerica of Menelaus

3:40 p.m. - 3:55 p.m.
Marshall A. Whittlesey, California State University San Marcos

Geometry: It's Element-ary

4:00 p.m. - 4:15 p.m.
Maureen Carroll, University of Scranton
Elyn Rykken, Muhlenberg College

Novel Introductions to Number Theory

Thursday, July 27, 3:00 p.m. - 4:35 p.m., Salon C-6

This session invites presenters to share interesting ways in which to introduce undergraduate students to topics in number theory. These "tastes" of number theory may be demonstrations, in-class activities, projects, proofs, or ways in which to guide undergraduates to explore and learn about areas of number theory while improving their ability to write proofs. Those discussing demonstrations or in-class activities are encouraged to share key portions. Presenters are welcome to share their first experiences teaching topics in number theory or how they have modified their approaches over time. Presentations related to teaching topics with which students experience difficulty and student reaction as well as information about successes and failures are encouraged.Abstracts should provide a glimpse of the demonstration, in-class activity, project, or proof to be discussed and information about the related topics in number theory in addition to the software or application, if any, used. Those whose presentations are dependent upon software or tablet explorations must provide their own laptop or tablet.

Organizer:
Sarah L. Mabrouk, Framingham State University

A Group Activities Approach to Number Theory

3:00 p.m. - 3:15 p.m.
Stefan Erickson, Colorado College

Presenting MAA Articles on Number Theory

3:20 p.m. - 3:35 p.m.
Susan H. Marshall, Monmouth University

The Wehmueller Conjecture

3:40 p.m. - 3:55 p.m.
Everette L. May, Salisbury University

Some Interesting Infinite Families of Primitive Pythagorean Triples

4:00 p.m. - 4:15 p.m.
David Terr, UC Berkeley

Arithmetical Structures on Graphs

4:20 p.m. - 4:35 p.m.
Darren Glass, Gettysburg College

Inquiry-Based Teaching and Learning

Part A: Friday, July 28, 8:30 a.m. - 11:05 a.m., Salon A-2
Part B: Saturday, July 29, 8:30 a.m. - 11:45 a.m., Salon A-2
Part C: Saturday, July 29, 1:00 p.m. - 3:15 p.m., Salon A-2

The goal of Inquiry-Based Learning (IBL) is to transform students from consumers to producers of mathematics. Inquiry-based methods aim to help students develop a deep understanding of mathematical concepts and the processes of doing mathematics by putting those students in direct contact with mathematical phenomena, questions, and communities. Within this context, IBL methods exhibit great variety.

Activities can take place in single class meetings or span entire curricula for students of any age; students can be guided to re-invent mathematical concepts, to explore definitions and observe patterns, to justify core results, and to take the lead in asking new questions. There is a growing body of evidence that IBL methods are effective and important for teaching mathematics and for fostering positive attitudes toward the subject. This session invites scholarly presentations on the use of inquiry-based methods for teaching and learning. We especially invite presentations that include successful IBL activities or assignments, that support observations about student outcomes with evidence, or that could help instructors who are new to IBL to try new methods.

Organizers:
Brian P. Katz, Augustana College
Victor I. Piercey, Ferris State University

The SIGMAA on Inquiry-Based Learning (SIGMAA IBL)

Part A

Friday, July 28, 8:30 a.m. - 11:05 a.m., Salon A-2

An IBL Approach to Abstract Algebra

8:30 a.m. - 8:45 a.m.
Mona Mocanasu, MSU Denver

An IBL Introduction to Proofs Class with Specifications / Standards Grading and Group Work

8:50 a.m. - 9:05 a.m.
Justin Dunmyre, Frostburg State University

All In: My First Experience with Guided Student Presentations

9:10 a.m. - 9:25 a.m.
May Mei, Denison University

Lessons Learned Creating IBL Course Notes

9:30 a.m. - 9:45 a.m.
John Ross, Southwestern University

Reanimating the Dinosaurs: A Reflection on Inquiry-Based Learning and Faculty Renewal

9:50 a.m. - 10:05 a.m.
Adrian P. Gentle, University of Southern Indiana
Yalcin Sarol, University of Southern Indiana

An Inquiry-Based Approach to IBL

10:10 a.m. - 10:25 a.m.
Sarah Dumnich, Frostburg State University

Mathematical Inquiry for Liberal Arts Students

10:30 a.m. - 10:45 a.m.
Elizabeth Thoren, Pepperdine University

Writing in an IBL Calculus Course

10:50 a.m. - 11:05 a.m.
William T. Mahavier, Lamar University

Part B

Saturday, July 29, 8:30 a.m. - 11:45 a.m., Salon A-2

Competing to Learn: An In-Class Playing Card Competition Where Students Explore Set Theory Operations

8:30 a.m. - 8:45 a.m.
Jonathan Weisbrod, Rowan College at Burlington County

Level Up: A Continued Experiment in "Gamifying" an Active Learning Classroom

8:50 a.m. - 9:05 a.m.
Kayla B. Dwelle, Ouachita Baptist University

Student Guided Reinvention of Green's Theorem

9:10 a.m. - 9:25 a.m.
Robert Sachs, George Mason University

Finding Mathematics in Chaos - Invite Your Students to Persevere

9:30 a.m. - 9:45 a.m.
Amanda H. Matson, Clarke University

Coordinating IBL and non-IBL Calculus II

9:50 a.m. - 10:05 a.m.
Amy Ksir, U.S. Naval Academy

Hybrid IBL

10:10 a.m. - 10:25 a.m.
Patrick X. Rault, University of Arizona

Mathematical Habits of Mind - The Essential Dimension for Learning Mathematics

10:30 a.m. - 10:45 a.m.
Marshall Gordon, Park School of Baltimore

Understanding Two-Year College Mathematics Faculty Perceptions and Use of Cooperative Learning

10:50 a.m. - 11:05 a.m.
Adam J. Castillo, The University of Texas at Austin

Pedagogy of the Oppressed: Lessons for Inquiry-Based Learning in Mathematics

11:10 a.m. - 11:25 a.m.
Victor Piercey, Ferris State University

Equitable Practices in IBL

11:30 a.m. - 11:45 a.m.
Jessica Ellis, Colorado State University
Brian P. Katz, Augustana College

Part C

Saturday, July 29, 1:00 p.m. - 3:15 p.m., Salon A-2

Put Students in the Driver Seat on Their Mathematics Learning Journey

1:00 p.m. - 1:15 p.m.
Annie Han, BMCC-The City University of New York
Margaret Dean, BMCC-The City University of New York
DanPing Zhong, BMCC-The City University of New York

Visualizing Ideas from Calculus

1:20 p.m. - 1:35 p.m.
Alessandra Pantano, University of California, Irvine

Technology, 3D Printing, and Brochures in a Liberal Arts Course

1:40 p.m. - 1:55 p.m.
Lisa Driskell, Colorado Mesa University

Splines from Scratch using SageMathCloud

2:00 p.m. - 2:15 p.m.
Thomas Clark, Dordt College

Teaching an Interactive Introduction to Knot Theory

2:20 p..m. - 2:35 p.m.
Allison Henrich, Seattle University

Inquiry-Based Graph Theory for Non-Majors

2:40 p.m. - 2:55 p.m.
Jonathan Hulgan, Oxford College of Emory University

The Peano Axioms: Natural Numbers by IBL

3:00 p.m. - 3:15 p.m.
Jonathan White, Coe College