**Lynette Boos**, *Providence College*

**Susan Callahan**, *Cottey College*

## Probability or Statistics

*Thursday, August 7, 8:30 a.m. – 9:55 a.m., Hilton Portland, Ballroom Level, Galleria III*

### A Disproof of Tsallis' Conjecture for the Exact Percolation Threshold of the Kagome Lattice

*8:30 a.m. – 8:40 a.m.*

**John Charles Wierman**, *Johns Hopkins University*

### Probabilistic Proofs of Some Binomial Coefficient Identities

*8:45 a.m. – 8:55 a.m.*

**Michael Z. Spivey**, *University of Puget Sound*

### The M-tile Deviation, A New Class of Measures of Dispersion: Assessing Learner Achievement

*9:00 a.m. – 9:10 a.m.*

**David DiMarco**, *Neumann University*

**Ryan Savitz**, *Neumann University*

**Fred Savitz**, *Neumann University*

### An Investigation of Benford’s Law Characterizations

*9:15 a.m. – 9:25 a.m.*

**Azar Khosravani**, *Columbia College Chiacago*

**Constantin Rasinariu**, *Columbia College Chicago*

### Efficient Use of the Negative Hypergeometric Distribution in Randomized Response Sampling

*9:30 a.m. – 9:40 a.m.*

**Stephen A Sedory**, *Texas A&M University-Kingsville*

**Michael Lee Johnson**, *Texas A&M University-Kingsville*

**Sarjinder Singh**, *Texas A&M University-Kingsville*

### Project-Based Approach to Understanding Quantile Regression

*9:45 a.m. – 9:55 a.m.*

**James Helmreich**, *Marist College, Poughkeepsie, NY*

**K. Peter Krog**, *Marist College, Poughkeepsie, NY*

## Assorted Teaching Topics

*Thursday, August 7, 8:30 a.m. – 10:25 a.m., Hilton Portland, Ballroom Level, Parlor AB*

### Mathematics Teaching Transformed - Lessons to be Learned

*8:30 a.m. – 8:40 a.m.*

**Jerry Dwyer**, *Texas Tech University*

### Passive and Active Activities in the Flipped Classroom

*8:45 a.m. – 8:55 a.m.*

**David Jay Graser**, *Yavapai College*

### Flipping Precalculus-Incorporating Online and In-Class Activities

*9:00 a.m. – 9:10 a.m.*

**Mahmud Akelbek**, *Weber State University*

### Using Analogous Problems

*9:15 a.m. – 9:25 a.m.*

**Victoria Kofman**, *Quality Engineering Education, Inc.*

### Zombie Models: A Sexy Approach to Improving Mathematics One Brain at a Time

*9:30 a.m. – 9:40 a.m.*

**Matthew Lewis**, *Utah State University*

### Making Problem

*9:45 a.m. – 9:55 a.m.*

**Tanaka Noriko**

### Reconceptualizing Mathematics for Elementary Teachers

*10:00 a.m. – 10:10 a.m.*

**Melissa A Desjarlais**, *Valparaiso University*

### How Admissions Cutoff Scores Favor Affluent Students and Act as a Barrier for Many Minority Students

*10:15 a.m. – 10:25 a.m.*

**Bryan Nankervis**, *Texas State University*

## Interdisciplinary Topics in Mathematics

*Thursday, August 7, 8:30 a.m. – 10:25 a.m., Hilton Portland, Ballroom Level, Parlor C*

### Other Liberal Arts Disciplines Taught Together with Mathematics

*8:30 a.m. – 8:40 a.m.*

**Paul R McCreary**, *The Evergreen State College - Tacoma*

### Flipping Linear Algebra

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

**Michael Gagliardo**, *California Lutheran University*

### A Flipped Math for Nurses

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

**Peter Olszewski**, *Penn State Erie, The Behrend College*

**Jessica Resig**, *Penn State Erie, The Behrend College*

### Bones, Muscles and Math: Biology and Geometry Working Together

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

**Daniel R. Huber**, *University of Tampa*

**Leslie Braziel Jones**, *University of Tampa*

### Harold and the NMAH Object Groups: Young Children's Responses to Crockett Johnson's Mathematical Paintings

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

**Amy Ackerberg-Hastings**, *University of Maryland University College*

### Frieze Patterns of the Mamluks

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

**B Lynn Bodner**, *Monmouth University*

### Mini-Flipping Biostatistics

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

**Magdalena Luca**, *MCPHS University*

### Designing a Successful Capstone Course

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

**Julian Michael Buck**, *Francis Marion University*

## Modeling or Applications

*Thursday, August 7, 8:30 a.m. – 10:25 a.m., Hilton Portland, Plaza Level, Broadway III & IV*

### Measuring Mountain Impressiveness with New Topographic Functionals

*8:30 a.m. – 8:40 a.m.*

**David Metzler**, *Albuquerque Academy; Edward Earl, Independent Researcher*

### The Second-Order Lanczos Derivative and a Nonlocal Flux

*8:45 a.m. – 8:55 a.m.*

**Nathanial Burch**, *Gonzaga University*

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

*9:00 a.m. – 9:10 a.m.*

**Brian Winkel**, *Emeritus US Military Academy*

### The Collapse of the Tacoma Narrows Bridge

*9:15 a.m. – 9:25 a.m.*

**George Moss**, *Union University*

### How Popular Do You Want to Be? A Mathematical Model of College Friendships

*9:30 a.m. – 9:40 a.m.*

**Yan Hao**, *Hobart and William Smith Colleges*

### Weddell Seal Morphometrics: An Example of Mathematical Modeling to Solve a Polar Science Problem

*9:45 a.m. – 9:55 a.m.*

**Lynn Foshee Reed**, *Einstein Educator Fellowship*

### Deducing the Age of an Ancient Natural Nuclear Reactor in a Pre-Calculus Class

*10:00 a.m. – 10:10 a.m.*

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

**Andrea Blum**, *SUNY Suffolk County Community College*

### The Mathematical Contest in Modeling

*10:15 a.m. – 10:25 a.m.*

**Sol Garfunkel**, *COMAP*

## Assorted Mathematics Research Topics

*Thursday, August 7, 1:00 p.m. – 4:25 p.m., Hilton Portland, Ballroom Level, Parlor C*

### Interesting Matrix Problems from Quantum Information Theory: Locally Distinguishing Quantum States

*1:00 p.m. – 1:10 p.m.*

**Michael Nathanson**, *Saint Mary’s College of California*

### The Rank of a Recurrence Matrix

*1:15 p.m. – 1:25 p.m.*

**Christopher R Lee**, *University of Portland*

**Valerie J Peterson**, *University of Portland*

### A Busy Beaver Problem for Infinite-Time Turing Machines

*1:30 p.m. – 1:40 p.m.*

**James Long**, *Lehigh University*

**Lee Stanley**, *Lehigh University*

### A Simplified Approach to the Cubic Formula

*1:45 p.m. – 1:55 p.m. *

**Akhilan Boopathy**, Lakeside School

### On the Other Side of the World, or Right Next Door?

*2:00 p.m. – 2:10 p.m.*

**Jeff Johannes**, *SUNY Geneseo*

### Exact Values of Trigonmentric Functions

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

**Jeremiah Bartz**, *Francis Marion University*

### Perplexing Factorizations: An Undergraduate Research Project

*2:30 p.m. - 2:40 p.m.*

**Adrian Gentle**, *University of Southern Indiana*

### Beautiful Integer Patterns

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

**Charlie Smith**, *Park University*

### Guarding a Koch Fractal Art Gallery

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

**Lauren Cassell**, *Ohio Northern University*

**William Roger Fuller**, *Ohio Northern University*

### Active Context Free Games with Finite Target Language

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

**Lori McCune**, *Missouri Western State University*

**David McCune**, *William Jewell College*

### Expressing Recursively Defined Polynomial Sequences in Terms of Extended Fibonacci Polynomials

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

**Robert Russell Molina**, *Alma College*

### Inverson Polynomials for Permutations Avoiding Consecutive Patterns

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

**Kendra Killpatrick**, *Pepperdine University*

**Naiomi Cameron**, *Lewis and Clark College*

### Extending the Tables of Wallis: Conjectures on Catalan Numbers and the Gamma Function

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

**Lee N. Collins**, *County College of Morris*

### Repeating Fractions and Primes

*4:15 p.m. - 4:25 p.m.*

**Nick Huo Han Huang**, *Math Lover*

## Teaching or Learning Introductory Mathematics

*Thursday, August 7, 1:00 p.m. – 5:10 p.m., Hilton Portland, Ballroom Level, Galleria III*

### Evangelizing for Mathematics

*1:00 p.m. – 1:10 p.m.*

**Kayla Bradley Dwelle**, *Ouachita Baptist University*

### Rethinking Ball State University’s Liberal Arts Math Course

*1:15 p.m. – 1:25 p.m.*

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

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

### PreCalculus Flipped Classroom and Active Learning

*1:30 p.m. – 1:40 p.m.*

**Michael Weimerskirch**, *University of Minnesota*

### College Algebra: Improving Student Success using a Hybrid Approach

*1:45 p.m. – 1:55 p.m.*

**Kay Geving**, *Belmont University*

### Active Learning Strategies to Improve Student Attitudes and Outcomes: The Studio Statistics Model at CSM

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

**Gus Greivel**, *Colorado School of Mines*

### Project Based Activities in Online Statistics

*2:15 p.m. – 2:25 p.m.*

**Amy Wheeler**, *Hondros College*

### Bringing Variety to Elementary Statistics Problems Based on Real Data

*2:30 p.m. - 2:40 p.m.*

**David Robert Gurney**, *Southeastern Louisiana University*

### Quantitative Reasoning for Business: An Inquiry-Based Approach

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

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

### Macroeconomics in Finite Math: Rediscovering and Recreating Leontief Analysis

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

**Gregory V Bard**, *The University of Wisconsin, Stout*

### Reaching More - A Hybrid Mathematics Course for Early Childhood, Elementary, and Special Education Majors

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

**Rebecca Metcalf**,* Bridgewater State University*

### Euclidean & Non-Euclidean Origametry

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

**Daniel J. Heath**, *Pacific Lutheran University*

### After the Test, What Now?

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

**Rachel Frankel**, *University of Cincinnati, Blue Ash College*

### Characteristic of Students During and After Introductory College Level Mathematics and Statistics Training

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

**Xuan Hien Nguyen**, *Iowa State University*

**Ian Mouzon**, *Iowa State University*

**Alicia Carriquiry**, *Iowa State University*

**Ulrike Genschel**, *Iowa State University*

**Elgin Johnston**, *Iowa State University*

**Andee Kaplan**, *Iowa State University*

**Wolfgang Kliemann**, *Iowa State University*

**Kenneth Koehler**,* Iowa State University*

### Developing an Introductory Mathematics Course in a South Asian Context

*4:15 p.m. - 4:25 p.m.*

**Thomas Fryer**, *Asian University for Women*

### Supplemental Instruction at the University of North Alabama

*4:30 p.m. - 4:40 p.m.*

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

### Supplemental Instruction: Closing the Achievement Gap for Underrepresented Minorities

*4:45 p.m. - 4:55 p.m.*

**Todd Cadwallader Olsker**, *California State University, Fullerton*

**Martin Bonsangue**, *California State University, Fullerton*

**Kathy Lewis**, *California State University, Fullerton*

**Ashley Thune-Aguayo**, *California State University, Fullerton*

**Jolene Fleming**,* California State University, Fullerton*

### Using Reading Guides in Mathematics Courses

*5:00 p.m. - 5:10 p.m.*

**Melanie Butler**, *Mount St. Mary's University*

## Mathematics and Technology

*Friday, August 8, 8:30 a.m. – 11:40 a.m., Hilton Portland, Ballroom Level, Galleria III*

### Inspiring Critical Thinking Through Programming Projects in a Precalculus Class

*8:30 a.m. – 8:40 a.m.*

**Andrea Blum**, *SUNY Suffolk County Community College*

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

### Using an Online Homework System for Written Homework

*8:45 a.m. – 8:55 a.m.*

**Matthew Leingang**, *New York University*

### Flipped Classrooms Require – and Should Inspire – Better Software

*9:00 a.m. – 9:10 a.m.*

**John C. Miller**, *The City College of C.U.N.Y. (emeritus)*

### Evolution of a Statistics Classroom

*9:15 a.m. – 9:25 a.m.*

**Steven Klassen**, *Missouri Western State University*

### Using Online Technologies to Create Journal Articles in Numerical Analysis

*9:30 a.m. – 9:40 a.m.*

**Mili Shah**, *Loyola*

### Euclid 21: Euclid's Elements for the 21st Century

*9:45 a.m. – 9:55 a.m.*

**Eugene Boman**, *Penn State, Harrisburg Campus*

### The Sophisticated Pencil: Computation as Transformation of the Traditional Mathematics Curriculum

*10:00 a.m. – 10:10 a.m.*

**Jeff Randell Knisley**, *East Tennessee State University*

### An Active Introduction to Sage

*10:15 a.m. – 10:25 a.m.*

**Brian Katz**, *Augustana College*

### Advances in Lurch, A Word Processor that Can Check Students' Proofs

*10:30 a.m. – 10:40 a.m.*

**Nathan C Carter**, *Bentley University*

**Kenneth G Monks**, *University of Scranton*

### Dynamic Visualization’s Effect on Mathematics Graduate Student and Inservice Teachers' Views of Transformations of Functions

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

**James Anthony Mendoza Epperson**, *The University of Texas at Arlington*

**Andrew Paul Byrns**, *Dallas Independent School District*

### Experience-Driven Evolution of Technology-Based Courses

*11:00 a.m. - 11:10 a.m.*

**Rebekah Gilbert**, *University of Illinois at Urbana-Champaign*

### Staying In Touch with Students with Technology

*11:15 a.m. - 11:25 a.m.*

**Ginger Harper**, *Kaplan University*

### Exploring the Use of Mobile Devices as Student Response Systems in Undergraduate Mathematics Courses

*11:30 a.m. - 11:40 a.m.*

**Jana Talley**, *Jackson State University*

**Lecretia Buckley**, *Jackson State University*

**Jessica Buck Murphy**, *Jackson State University*

**Shontrice Garrett**, *Jackson State University*

## Teaching or Learning Calculus

*Friday, August 8, 8:30 a.m. – 11:40 a.m., Hilton Portland, Ballroom Level, Parlor C*

### Making Waves in Vector Calculus

*8:30 a.m. – 8:40 a.m.*

**John Thoo**, *Yuba College*

### Impact of a Large Lecture Model in Multivariable Calculus

8:45 a.m. – 8:55 a.m.

**Nathan P. Clements**, *University of Wyoming*

### Resequencing Calculus: An Early Multivariable Approach

*9:00 a.m. – 9:10 a.m.*

**Michael Axtell**, *University of St. Thomas*

**Dave Dwyer**, *University of Evansville*

**Mark Gruenwald**, *University of Evansville*

**Ken Luther**, *Valparaiso University*

### Flipping My Calculus Classes

*9:15 a.m. – 9:25 a.m.*

**John Frohliger**, *St. Norbert College*

### A Successful Week 1 in a Flipped Calculus 1 Course

*9:30 a.m. – 9:40 a.m.*

**Bob Sachs**, *George Mason University*

### Writing About Continuity

*9:45 a.m. – 9:55 a.m.*

**Derek Thompson**, *Trine University*

### Classroom Investigations to Prepare Students for Calculus

*10:00 a.m. – 10:10 a.m.*

**Ken Collins**, *Charlotte Latin School*

### Introductory Calculus with Meaning and without Limits

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

**Stacy Marie Musgrave**, *Arizona State University*

### Effectiveness of Teaching From a Bound Set of Lecture Notes in a Calculus Course

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

**Brandy Benedict**, *Merrimack College*

### Strategies to Promote Student Success in Calculus

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

**Corinne Casolara**, *Montana State University – Bozeman*

**Veronica Baker**, *Montana State University – Bozeman*

### The Effectiveness of Clickers in a Large-Enrollment Calculus Classroom

*11:00 a.m. - 11:10 a.m.*

**Heather Bolles**, *Iowa State University*

**Adrian Jenkins**,* Iowa State University*

**Elgin Johnston**, *Iowa State University*

**Xuan Hien Nguyen**, *Iowa State University*

### History and Exploration in the Teaching of Calculus

*11:15 a.m. - 11:25 a.m.*

**Paul Sisson**, *LSU Shreveport*

**Tibor Szarvas**, *LSU Shreveport*

### The Impact of Placement and Curriculum Reform on Success in First-Year Courses

*11:30 a.m. - 11:40 a.m.*

**Edgar Fuller**, *West Virginia University*

**Jessica Deshler**, *West Virginia University*

## Mentoring

*Friday, August 8, 1:00 p.m. – 2:25 p.m., Hilton Portland, Ballroom Level, Galleria III*

### Creating Sustainable Programs to Support Women Faculty in Mathematics

*1:00 p.m. – 1:10 p.m.*

**Jenna Carpenter**, *Louisiana Tech University*

### MPWR: Mentoring and Partnerships for Women in RUME

*1:15 p.m. – 1:25 p.m.*

**Megan Wawro**, *Virginia Tech*

**Jessica Ellis**, *San Diego State University*

**Hortensia Soto-Johnson**, *University of Northern Colorado*

### Mentoring Undergraduates

*1:30 p.m. – 1:40 p.m.*

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

### The Intentional Mentoring

*1:45 p.m. – 1:55 p.m.*

**Noureen Khan**, *UNT Dallas*

### The Power of a Good Mentor: Lessons Learned from a Four-Year After School Mathematics Program

*2:00 p.m. – 2:10 p.m.*

**Lina Sanchez leal**, *Rutgers University*

**Gabriela Garcia**, *Cliffside High School NJ*

### Measuring Educator Effectiveness & Pre-Service Teacher Supervision

*2:15 p.m. – 2:25 p.m.*

**Daniel Patrick Wisniewski**, *DeSales University*

**John T. Garey**, *DeSales University*

## Outreach

*Friday, August 8, 1:00 p.m. – 2:25 p.m., Hilton Portland, Ballroom Level, Parlor C*

### Texas A&M Math Circle: Structure and Activities

*1:00 p.m. – 1:10 p.m.*

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

**Alex Sprintson**, *Texas A&M University*

**Kaitlyn Phillipson**, *Texas A&M University*

**Trevor Olsen**, *Texas A&M University*

**Frank Sottile**, *Texas A&M University*

### The UCI Math Circle: Afternoons of Mathematical Investigations for Middle and High School Students

*1:15 p.m. – 1:25 p.m.*

**Leesa Anzaldo**, *University of California, Irvine*

**Timmy Ma**, *University of California, Irvine*

**Cynthia Northrup**, *University of California, Irvine*

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

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

*1:30 p.m. – 1:40 p.m.*

**Brandy S Wiegers**, *National Association of Math Circles, Central Washington University*

### Southern Connecticut State University's GEAR UP Summer Mathematics Program

*1:45 p.m. – 1:55 p.m.*

**Klay Kruczek**, *Southern Connecticut State University*

### Supporting Mathematics Research Projects for Advanced High School Students

*2:00 p.m. – 2:10 p.m.*

**Daniel Teague**, *NC School of Science and Mathematics*

### Encouraging STEM Majors to Consider a Career in Teaching Through Nonprofit Partnership

*2:15 p.m. – 2:25 p.m.*

**Stephanie Anne Salomone**, *University of Portland*

## Research in Applied Mathematics

*Friday, August 8, 3:00 p.m. – 4:55 p.m., Hilton Portland, Ballroom Level, Parlor C*

### The Study of Complex Dynamics of Methamphetamine Use and Markets in California

*3:00 p.m. – 3:10 p.m.*

**Steve Szymanowski**, *Northeastern Illinois University*

### Optimal Control of the Spread of Cholera

*3:15 p.m. – 3:25 p.m.*

**Javier Garza**, *Tarleton State University*

### Computing the Value Function for a Singular Optimal Control Problem

*3:30 p.m. – 3:40 p.m*

**Jesus Pascal**, *The American University of Afghanistan*

### Assembling Broken Surfaces using Differential Invariant Signatures

*3:45 p.m. – 3:55 p.m.*

**Robert Thompson**, *Macalester College*

### Effect of Thermal Diffusion And Chemical Reaction on Heat And Mass Transfer in Micropolar Fluid

*4:00 p.m. – 4:10 p.m.**.*

**Louis Essien Effiong**, *Fluid Dynamics*

### Heat and Mass Transfer in a Micropolar Fluid With Thermal Radiation Over a Vertical Plate

*4:15 p.m. – 4:25 p.m.*

**Oahimire Imumolen Jonathan**, *Fluid Dynamics*

### Complete Synchronization on Networks of Identical Oscillators with Diffusive Delay-Coupling

*4:30 p.m. – 4:40 p.m.*

**Stanley Ryan Huddy**, *State University of New York at New Paltz*

**Joseph Skufca**, *Clarkson University*

### Measuring Distances between Weighted Graphs by Graph Diffusion

*4:45 p.m. – 4:55 p.m.*

**David Kenric Hammond**, *Oregon Institute of Technology – Wilsonville*

**Yaniv Gur**, *SCI Institute, University of Utah*

## Research in Graph Theory or Combinatorics

*Friday, August 8, 3:00 p.m. – 5:10 p.m., Hilton Portland, Ballroom Level, Galleria III*

### Dynamic Storage Allocation using Tolerance Graphs

*3:00 p.m. – 3:10 p.m.*

**Karin Saoub**, *Roanoke College*

### Eternal Colorings and $$k$$-Eternal Graphs

*3:15 p.m. – 3:25 p.m.*

**Mark Anderson**, *Rollins College*

**Shiying Gu**, *Rollins College*

**Charles Evans Hedges**, *Rollins College*

**Felipe Quiroga**, *Rollins College*

### Extremal H-Colorings of Trees and Forests

*3:30 p.m. – 3:40 p.m.*

**John Engbers**, *Marquette University*

### Prime Labelings of Graphs

*3:45 p.m. – 3:55 p.m.*

**Cayla McBee**, *Providence College*

### Group-Antimagic Labelings of Graphs

*4:00 p.m. – 4:10 p.m.*

**Richard Low**, *San Jose State University*

**Dan Roberts**, *Illinois Wesleyan University*

### Inflection Points of Reliability Polynomials

*4:15 p.m. – 4:25 p.m.*

**Christina Graves**, *The University of Texas at Tyler*

**David Milan**, *The University of Texas at Tyler*

### Insights into $$m-$$ary Partitions from an $$m-$$ary Tree

*4:30 p.m. - 4:40 p.m.*

**Timothy B Flowers**,* Indiana University of Pennsylvania*

**Shannon R Lockard**, *Bridgewater State University*

### On $$C_z$$-Factorizations with Two Associate Classes

*4:45 p.m. - 4:55 p.m.*

**Michael Tiemeyer**, *Armstrong Atlantic State University*

### Hamiltonian Cycles in Cayley Graphs of Complex Reflection Groups

*5:00 p.m. - 5:10 p.m.*

**Cathy Kriloff**, *Idaho State University*

**Terry Lay**, *Idaho State University, Retired*

## Research in Analysis

*Saturday, August 9, 8:30 a.m. – 9:25 a.m., Hilton Portland, Ballroom Level, Parlor C*

### Hypercyclicity and the Range of an Operator

*8:30 a.m. – 8:40 a.m.*

**Kevin Rion**, *Bridgewater State University*

### A Solution to Boundary Value Problems and Volterra Integral Equations with Parker and Sochacki Method

*8:45 a.m. – 8:55 a.m.*

**Hamid Semiyari**, *James Madison University*

### Behavior of Boundary Convergency for Power Series

*9:00 a.m. – 9:10 a.m.*

**Xiao-Xiong Gan**, *Morgan State University*

### Analytical and Numerical Investigations of the Riemann Hypothesis

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

**Donald Hitzl**, *Lockheed Palo Alto Research Lab (Retired)*

## Teaching or Learning Developmental Mathematics

*Saturday, August 9, 8:30 a.m. – 9:25 a.m., Hilton Portland, Ballroom Level, Galleria III*

### Using Pictures to Study Students' Mathematical Beliefs and Attitudes

*8:30 a.m. – 8:40 a.m.*

**Ben Ntatin**, *Austin Peay State University*

### Activities to Reinforce Fraction Concepts in the Developmental Math Classroom

*8:45 a.m. – 8:55 a.m.*

**Ann Hanson**, *Columbia College Chicago*

### Using Critical Thinking Skills in Developmental Mathematics

*9:00 a.m. – 9:10 a.m.*

**Mary B. Walkins**, *The Community College of Baltimore County*

### “Is It Time To Go Home Yet?”: Student Engagement in Extracurricular Mathematics, Grades 2-4

*9:15 a.m. – 9:25 a.m.*

**Christina Tran**, *California State University, Fullerton*

**Benjamin David Blazak**, *California State University, Fullerton*

## Research in Algebra

*Saturday, August 9, 8:30 a.m. – 11:10 a.m., Hilton Portland, Plaza Level, Broadway I & II*

### Various Extensions of Commutative Rings

*8:30 a.m. – 8:40 a.m.*

**Papiya Bhattacharjee**, *Penn State Behrend*

### Calm Ring Extensions and Associated Primes

*8:45 a.m. – 8:55 a.m.*

**Hannah Robbins**, *Roanoke College*

### The Generalization of HNP Ring, 2 Bezout Ring and P-Bezout Ring

*9:00 a.m. – 9:10 a.m.*

**Irawati Irawati**, *Institut Teknologi Bandung*

### τ-Factorizations, when τ is an Equivalence Relation

*9:15 a.m. – 9:25 a.m.*

**Reyes Matiel Ortiz-Albino**, *University of Puerto Rico-Mayaguez Campus*

**Cesar Serna-Rapello**, *University of Puerto Rico-Mayaguez*

### The Number of Zeros of Linear Recurring Sequences Over Finite Fields

*9:30 a.m. – 9:40 a.m.*

**Suwanda Hennedige Yasanthi Kottegoda**, *Southern Illinois University Carbondale*

### Two Groups Associated with an \(\{\mathbf{R},s+1,k\}\)-Potent Matrix

*9:45 a.m. – 9:55 a.m.*

**Jeffrey Stuart**, *Pacific Lutheran University*

**Minerva Catral**, *Xavier University*

**Leila Lebtahi**, *Universitat Politecnica de Valencia*

**Nestor Thome**, *Universitat Politecnica de Valencia*

**James Weaver**, *University of West Florida*

### An Algebra with Characteristic Dependent Associativity

*10:00 a.m. – 10:10 a.m.*

**Lydia Kennedy**, *Virginia Wesleyan College*

### The Frobenius Number of Balanced Numerical Semigroups

*10:15 a.m. – 10:25 a.m.*

**Jeremy Thompson**, *USAFA*

### Isomorphy Classes of Involutions of $$\text{Sp}(2n, k)$$

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

**Robert Wayne Benim**, *Pacific University*

**Loek Helminck**, *North Carolina State University*

**Farrah Jackson**, *Elizabeth City State University*

### Directly Finite Modules of \({sl_2d}\)

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

**Christopher Kennedy**, *Christopher Newport University*

### Characteristics of Algebraic Symbol Sense

*11:00 a.m. - 11:10 a.m.*

**Margaret T. Kinzel**, *Boise State University*

## Research in Number Theory

*Saturday, August 9, 8:30 a.m. – 11:10 a.m., Hilton Portland, Ballroom Level, Galleria I*

### Difference Sets, Singer Designs, and Singer Difference Sets

*8:30 a.m. – 8:40 a.m.*

**Bud Brown**, *Virginia Tech*

### Odd Numbers, Their Relation to Primitive Pythagorean Suits and Traingulares Numbers - Theorem Ren

*8:45 a.m. – 8:55 a.m.*

**Renilson Adriano Silva**,* Federal Institute of Education, Science and Technology of Sao Paulo and University Center Modulo*

### Arithmetic of $$k$$-Regular Partition Functions

*9:00 a.m. – 9:10 a.m.*

**David Penniston**, *University of Wisconsin Oshkosh*

### A Computational Method for Solving Exponential-Polynomial Diophantine Equations

*9:15 a.m. – 9:25 a.m.*

**Jiayuan Wang**, *George Washington University*

**Max Alekseyev**, *George Washington University*

### A Set of Two-color Off-Diagonal Rado Numbers for $${x_1 + x_2 + \cdots + x_m = a x_0}$$

*9:30 a.m. – 9:40 a.m.*

**Don Vestal**, *South Dakota State University*

### Squarefree Parts of Polynomial Values

*9:45 a.m. – 9:55 a.m.*

**David Krumm**,* Claremont McKenna College*

### Emergent Reducibility in Polynomial Dynamics

*10:00 a.m. – 10:10 a.m.*

**Jason Preszler**, *University of Puget Sound*

### Connections Between Furstenberg’s and Euclid’s Proofs of the Infinitude of Primes

*10:15 a.m. – 10:25 a.m.*

**Nathan Carlson**, *California Lutheran University*

### The Gaussian Moat Problem

*10:30 a.m. – 10:40 a.m.*

**Anthony Shaheen**, *CSU Los Angeles*

### Some Palatable Morsels, Integer Sequences and Number Theory Trivia

*10:45 a.m. – 10:55 a.m.*

**Jay Lawrence Schiffman**, *Rowan University*

### Divisibility Tests Unified: Stacking the Trimmings for Sums

11:00 a.m. - 11:10 a.m.

**Edwin O’Shea**, *James Madison University*

## Research in Geometry

*Saturday, August 9, 10:00 a.m. – 11:10 a.m., Hilton Portland, Ballroom Level, Parlor C*

### Fibonacci and Logarithmic Spirals

*10:00 a.m. – 10:10 a.m.*

**Steven Edwards**, *Southern Polytechnic State University*

### The Convex Body Isoperimetric Conjecture

*10:15 a.m. – 10:25 a.m.*

**Frank Morgan**, *Williams College*

### Periodic Orbits in the Heisenberg-Kepler Problem

*10:30 a.m. – 10:40 a.m.*

**Corey Shanbrom**, *California State University, Sacramento*

### An Intrinsic Relationship Between Finite Projective Planes and Finite (Galois) Fields

*10:45 a.m. – 10:55 a.m.*

**Alvin Swimmer**, *Arizona State University*

### New Directions in Staircase Metric Geometry

*11:00 a.m. – 11:10 a.m.*

**Jack Mealy**, *Austin College*

**Samantha Le**, *Austin College*

## Assessment

*Saturday, August 9, 10:30 a.m. – 11:25 a.m., Hilton Portland, Ballroom Level, Galleria III*

### University Students’ Perception on Poor Achievement of Undergraduates in Introductory Mathematics-Related Courses in Taraba State – Nigeria

*10:30 a.m. – 10:40 a.m.*

**Solomon Abogunde Iyekekpolor**, *Federal University, Wukari – Nigeria*

### A Research-Based Rubric To Assess Students’ Creativity in Proof and Proving

*10:45 a.m. – 10:55 a.m.*

**Gail Tang**, *University of La Verne*

**Milos Savic**, *University of Oklahoma*

**Gulden Karakok**, *University of Northern Colorado*

**Houssein El Turkey**, *University of Oklahoma*

**Molly Stubblefield**, *University of Oklahoma*

### An Improved Mixed Clustering Approach for Teaching Evaluation

*11:00 a.m. – 11:10 a.m.*

**Sijie Liu**, *University of Alabama, Tuscaloosa*

### The Relationship between Calibration, Anxiety and Achievement in Preservice Elementary Teachers Mathematics

*11:15 a.m. – 11:25 a.m.*

**Brian Christopher**, *University of Northern Colorado*

## History or Philosophy of Mathematics

*Saturday, August 9, 1:00 p.m. – 2:55 p.m., Hilton Portland, Ballroom Level, Galleria III*

### What is Algebra and Where Did it Come From?

*1:00 p.m. – 1:10 p.m.*

**Meighan Irene Dillon**, *Southern Polytechnic State University*

### Venn-Euler-Leibniz Diagrams

*1:15 p.m. – 1:25 p.m.*

**Deborah Bennett**, *New Jersey City University*

### Mechanical Solutions to the Three Construction Problems from Antiquity

*1:30 p.m. – 1:40 p.m.*

**Keith M Dreiling**, *Fort Hays State University*

### The Toil and Moil in Proving the Describability of the Trigonometric Series

*1:45 p.m. – 1:55 p.m.*

**Shigeru Masuda**, *RIMS, Kyoto University*

### Ming Antu's Influence on Chinese Mathematics in Qing Dynasty

*2:00 p.m. – 2:10 p.m.*

**Weiping Li**, *Walsh University*

### Truman H. Safford: A Nineteenth Century Astronomer's Views on School Mathematics

*2:15 p.m. – 2:25 p.m.*

**Eileen Donoghue**, *City University of New York/CSI*

### Was There Curricular Modernism Also?

*2:30 p.m. – 2:40 p.m.*

**Walter Meyer**, *Adelphi University*

### Can a Mathematician Write a Proof So Complex Even He Cannot Believe It?

*2:45 p.m. – 2:55 p.m.*

**Jeremy Sylvestre**, *University of Alberta, Augustana Campus*

## Teaching or Learning Advanced Mathematics

*Saturday, August 9, 1:00 p.m. – 3:40 p.m., Hilton Portland, Ballroom Level, Parlor C*

### The Best Tasting Basis Ever!

*1:00 p.m. – 1:10 p.m.*

**Alan Alewine**,* McKendree University*

### More Geometry with SET

*1:15 p.m. – 1:25 p.m.*

**Timothy Edward Goldberg**, *Lenoir-Rhyne University*

### Chemistry, Legos, and Proofs

*1:30 p.m. – 1:40 p.m.*

**Bonnie Amende**, *Saint Martin's University*

**Carol Overdeep**, *Saint Martin's University*

### Introducing Mathematical Induction Using Combinatorial Games

*1:45 p.m. – 1:55 p.m.*

**David McCune**, *William Jewell College*

### Liedoku for Abstract Algebra

*2:00 p.m. – 2:10 p.m.*

**David Nacin**, *William Paterson University*

### More Bang From Your Book: A Simple Strategy to Promote Active Reading

*2:15 p.m. – 2:25 p.m.*

**Scott R Kaschner**, *The University of Arizona*

### Using Individual Oral Exams in Mathematics Courses

*2:30 p.m. – 2:40 p.m.*

**Michelle Ghrist**, *U.S. Air Force Academy*

**Dale Peterson**, *U.S. Air Force Academy*

**Ralph Boedigheimer**, *U.S. Air Force Academy*

**Benjamin Kallemyn**, *Air Force Institute of Technology*

### Programming Mathematics as an Advanced Math Course

*2:45 p.m. – 2:55 p.m.*

**Lisa Oberbroeckling**, *Loyola University Maryland*

### An Ethnomathematics Graduate Course

*3:00 p.m. – 3:10 p.m.*

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

**Cynthia Taylor**, *Millersville University of Pennsylvania*

### The Over-Easy Classroom

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

**Lew Ludwig**, *Denison University*

### Flipping Differential Equations

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

**Lenny Ornas**, *McNeese State University*