Annual Meeting of the Pacific Northwest Section of the MATHEMATICAL ASSOCIATION OF AMERICA Willamette University Salem, Oregon April 12–13, 2013 1 Annual Meeting of the Pacific Northwest Section of the Mathematical Association of America Sponsored & Hosted by Willamette University Mathematics Department College of Liberal Arts Salem, Oregon April 12–13, 2013 Friday, April 12 7:45 Packet pickup for Project NExT Ford 102 8:00 Project NExT Meeting Ford 102 2:30 3:00 Minicourse: Minicourse: Closer to Fair: Social Justice in Mathematics, Cryptology [2] Mathematics for Social Justice [1] Ford 201 Ford 204 5:30 Student Reception Project NExT Dinner (No Host) & Discussion & Packet Pickup 5:45 The Ram 7:00 Restaurant and Brewery Packet Pick-up1 515 12th Street Ford 2nd Floor Hearth Ford 2nd Floor Hearth 503.363.1904 8:00 Friday Evening Lecture: Liz McMahon Error Detection and Correction in the Card Game SETTM [3] Montag Center 9:15 Reception Montag Center 10:15 1Packet pickup will also be available in Ford 2nd Floor Hearth from 2:00-3:30 2 Saturday, April 13 7:45 Executive Committee Meeting 8:00 Ford 222 Ford Hall 9:15 Introduction and Welcome: Packet Pickup Stephen E. Thorsett, & Registration Willamette University President Ford 2nd Floor Hearth Invited Talk: Frank Farris Undercover Symmetry [4] Cone Chapel, Waller Hall 10:45 Contributed Talks Ford Hall 102, 201, 204, 222, 301, 302, 304 12:45 Lunch (provided) Cat Cavern, University Center 2nd Floor 1:15 Business Meeting 1:50 Cat Cavern, Dining Rooms 1 & 2 2:00 Invited Talk: David Kung Symphonic Equations: A Mathematical Exploration of Music [5] Cone Chapel 3:00 Waller Hall 3:15 Contributed Talks Ford Hall 102, 201, 204, 301, 302, 304 5:45 Social Hour University Center 2nd Floor 7:00 Banquet Dinner - Section Awards Cat Cavern, University Center 2nd Floor 8:30 Invited Lecture: Liz McMahon Mathematics in the Game of SETTM [6] Cone Chapel Waller Hall 3 Program of Contributed Papers The program of contributed papers appears on the following pages. In some cases, titles or other information are abbreviated for reasons of space; please see the full abstract for more information. A dagger (†) indicates which contributor(s) will present when multiple contributors are listed and fewer are presenting the work. An asterisk (∗) indicates the contributor is an undergraduate student. Double asterisks (∗∗) indicate the contributor is a graduate student. Session Organizers • Math Circles & Math Teachers’ Circles: Mathematical Problem Solving for Students and Teachers: David Scott, University of Puget Sound • Games : Mary Riegel and Jenny McNulty, University of Montana • Accommodations for Students with Low-Incidence Disabilities in College Mathematics : Paul Krouss, Washington State University, Vancouver • Junior Faculty Research: Hannah Callender, University of Portland • Undergraduate Research: Dominic Klyve, Central Washington University • General Contributed Papers: Chuck Dunn, Linfield College Please contact the session organizer with any questions about a session. Moderators: Please start each talk on time, but not early. Meeting participants often move between sessions and will want to be there when the talks are scheduled to begin. 4 Contributed Talks – Saturday Morning Interactive Session: Games Junior Faculty Accommodations Research Ford 222 Ford 201 Ford 204 10:45–11:00 Designer Board Games for A Somewhat Constructive Interactive Session the Interested Approach to the Mountain Mathematician [46] Pass Lemma and Its Variants [12] Paul Krouss, WSU Vancou- ver: Organizer Speakers: Josh Laison, WU James Bisgard, CWU 11:05–11:20 Accommodating Blind Turning off the Lights [30] Generating the Brauer Students in College Group of the Function Field Mathematics; An Amateur’s of a p-adic Curve [53] Guide [45] Paul Krouss, WSU Vancouver Gary Gordon, Lafayette College Kelly McKinnie, UMT 11:25–11:40 A Math Accommodation Introduction to Competitive Using Spatiotemporal Brain Success Story [49] Graph Coloring [24] Connectivity Matrices to Estimate Cortical Activity from EEG [32] Zach Lattin, Washington State School for the Blind Chuck Dunn, Linfield David Hammond, UO 11:45–12:00 Competitive Graph Coloring Methods for High- on Complete Multipartite Dimensional Multivariate Graphs [60] Repeated Measures Data under General Conditions [36] Nino Barrett, University of Rochester∗ Chuck Dunn, Linfield Jennifer Nordstrom, Linfield John Portin, Linfield †∗ Alexander Sistko, Bradley University∗ John Hossler, SPU 12:05–12:20 Modeling the Game “7 Undergraduate Speed Wonders” [29] Research, and the Sum-of-Divisors [41] Ben Gardiner, WU Dominic Klyve, CWU 12:25–12:40 FIRE and ICETM [63] Emergent Reducibility of Cubic Polynomials [61] Mary Riegel, UMT Jason Preszler, UPS 5 Contributed Talks – Saturday Morning Student Papers 1 Student Papers 2 Ford 301 Ford 302 10:45–11:00 To Reach a Sum on Dice Student Success in [18] Prerequisite-Linked Mathematics Courses [11] Karen Cole, WOU ∗ Peter Banwarth , OSU∗∗ 11:05–11:20 A Representation of SO(4,2) The Cost of Drunkenness for [39] the Game of Cops and Robbers [69] Tevian Dray, OSU ∗ Josh Kincaid, OSU†∗ Molly Stubblefield, WOU 11:25–11:40 Exploring Infinite Sequences Relations between Klein of Hitches [47] Knots and Torus Knots I [8] Enrique Alvarado, Hanna Landrus, PU∗ Gonzaga∗ 11:45–12:00 Analysis of the Hammer Relations between Klein Throw [48] Knots and Torus Knots II [62] Brandon Reeves, Jennifer Larson, WOU∗ Gonzaga∗ 12:05–12:20 Mathematical Illiteracy A Model: Pollution Decay Causes Financial Collapse: and Purification of Lake Incorrect Implementation of Onondaga [16] the Black-Scholes Model [50] Kaci Linton, PU∗ Lindsay Callahan, WOU∗ 12:25–12:40 Searching for Optimal Book Euclidean Tessellations and Embeddings for Families of Regular Polygons in the Graphs [52] Taxicab Plane [58] Lauren Joplin, PU∗ Maria Mai, PU∗ Thomas Pitts, OSU∗ 6 Contributed Talks – Saturday Morning Student Papers 3 General Papers 1 Ford 102 Ford 304 10:45–11:00 Dining Etiquette and Oral Reviews in Calculus: Combinatorics [43] Improving Student Understanding [34] Isaiyah Kovachy, WOU ∗ Allison Henrich, SU 11:05–11:20 Zero-Divisor Graphs of 2 × 2 ‘Hanging Ten’: Measuring Matrix Algebras [13] Big Wave Intensities [51] Meghan Blanchet, Nancy Livingston Potter, Gonzaga∗ CPTC 11:25–11:40 A Note on l-Permutations Orthogonal Cayley-Sudoku [73] Tables [77] Madelyn Twain, WOU∗ Mike Ward, WOU 11:45–12:00 Examining Tangle A Course in Spherical Compositions and Their Geometry for Implications to Tricolorability Undergraduates [78] [17] Marshall Whittlesey, Christopher Cericola, SU∗ CSUSM 12:05–12:20 Approximating Square Roots Who is Prepared for from the Integers to the Calculus 1? [79] Modulars [10] Jennifer AnDyke, WOU∗ Nicholas Willis, GFU 12:25–12:40 Euclidean Constructions and Both Teams Played Hard: the Geometry of Origami Methods for Ranking [80] Basketball Teams [31] Jonathan Woodruff, WOU∗ Chris Hallstrom, UP 7 Contributed Talks – Saturday Afternoon Games/Math Circles Student Papers 4 Student Papers 5 Ford 201 Ford 204 Ford 301 3:15–3:30 What Do Games Tell Us Dropping the Lowest Score: Stable and Instability: Affine About Graphs? [59] A Mathematical Analysis of a Drama of Transformations Common Grading Practice [70] [14] Erika Stutts∗and Michael Demitri Plessas, UMT Rosie Brown, WOU∗ Vandeberg∗, GFU 3:35–3:50 The Link Smoothing Game Dodgson’s Condensation Custom Locks: Counting the [37] Method for Calculating Combinations [71] Determinants [22] Micah Donor∗and Mitch Inga Johnson, WU Main∗, GFU Christopher Tasner, WOU∗ 3:55–4:10 Navajo Nation Math Circles Zero-Sum Games [26] Exotic Vector Spaces [66] Project [67] Sarah Gilmore∗and Josiah Tatiana Shubin, SJSU Jose Figueroa, WOU∗ Shoemaker∗, GFU 4:15-4:30 Notes from the Missoula The Prime Values of a Perfect Shuffling [27] Math Circle [54] Quadratic Polynomial [9] Kelly McKinnie, UMT Matt Anderson, WU∗ Emily Flora, WOU∗ 4:35-4:50 What is a Math Wrangle? The Spider and the Fly [76] Computer AI for the Game of [67] Go [25] Zihao Wang∗and Hailey Tatiana Shubin, SJSU Meekins∗, GFU Kyle Evitts∗†et al., Linfield 4:55-5:10 What Makes a Math Winning at Rock, Paper, Newcastle Disease in Wild Teachers’ Circle [64] Scissors [42] Parrots: Building a Mathematical Model [33] Tyler Koglin∗and Jake David Scott, UPS Larson∗, GFU Cassy Hanson, WOU∗ 8 Contributed Talks – Saturday Afternoon General Papers 2 Student Papers 6 Student Papers 7 Ford 302 Ford 304 Ford 102 3:15–3:30 Linear Algebra and Digital Mathematical Resilience in Application of Polya´ Signal Processing [7] Biological Systems [38] Enumeration Theorem to Non-Isomorphic Graphs [35] Mohamed Allali, Chapman University Eric Keller, UAS∗ Sky Hester, WWU ∗ 3:35–3:50 A Hybrid Statistical and How Art Can Become Iterative Congressional Point-Neuron Simulation Mathematical Proof? [75] Redistricting [40] Environment for Neuronal Simulation [15] Nicholas Cain, Allen Institute Debra Virden, WOU∗ Evan Kleiner, Whitman∗ 3:55–4:10 Teaching Calculus for Generalized Ramsey Ta-Yen Encryption [44] Transfer, Assessing Numbers for Near-Diagonal Conceptual Understanding Pan Graphs and Relatively [19] Prime Tadpole Graphs [56] Noelle Conforti Preszler, UW Jason Preszler, University of Puget Sound Timothy Perisho, SPU∗ Anna Kralovec, WOU∗ 4:15-4:30 What’s New in WeBWorK Cyclic Permutations of Claps The Combinatorial Structure [20] and Patterns [74] of PS-Ear Decomposable Graphs [57] Nima Imani, UW ∗ Lee Johnson, SU ∗ McKenzie Keeling-Garcia, SU ∗ Steven Klee, SU ∗ Robin Cruz, C of I Cydney Tyler, WOU Casey Pinckney, SU †∗ 4:35-4:50 Cubies