MAT Exam Expository Papers
In partial fulfillment of the requirements for the Master of Arts in Teaching
with a Specialization in the Teaching of Middle Level Mathematics
in the Department of Mathematics University of Nebraska-Lincoln
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Teachers who complete the Math in the Middle program earn one of two master's degrees:
- a Master of Arts degree from the Department of Teaching, Learning and Teacher Education
- the Master of Arts in Teaching (MAT) degree from the Department of Mathematics with a Specialization in the Teaching of Middle Level Mathematics
In partial fulfillment of the requirements for the MAT degree, teacher participants write an expository paper on a mathematical topic not generally found in the 5-8 curriculum. What follows is work completed by teachers (generally of grades 5-8) who have completed the M2 program.
| Author | Title | Documents (PDF) | |
| Val Adams | De Bruijn Cycles | Document | |
| Stacey Aldag | A Monte Carlo Simulation of the Birthday Problem | Document | |
| Julane Amen, Shauna Green, Anne Schmidt | Farey Sequences, Ford Circles and Pick's Theorem | Document | |
| Teena Andersen | The Four Color Theorem | Document | |
| Anna Anderson | Archimedean Solids | Document | |
| Delise Andrews | Conic Sections | Document | |
| Pamela Arvie | Finding the Day of the Week for a Given Date - Gregorian and Islamic Calendars | Document | |
| Vicki J. Barry | Inequalities | Document | |
| Darla Berks | Symmetry of Scale | Document | |
| Jay Beyer | A Factorization Game: Sum-Difference Numbers | Document | |
| Kathy Bohac | Using Regular Polygons to Approximate Circles | Document | |
| Mike Bomar | Pennies and Blood | Document | |
| Myrna Bornemeier | Just What Do You "Mean"? | Document | |
| Tricia Buchanan | Testing Naval Artillery and Other Things That Blow Up | Document | |
| Amy Bystrom | The Pigeonhole Principle | Document | |
| Virginia Clark | The Vigenére Cipher | Document | |
| JaLena J. Clement | The Binomial Theorem | Document | |
| Connie Colton | Salmon Population, Salmon Harvesting, and Chaos | Document | |
| Dean Davis | The Game of Nim | Document | |
| Sandy Dean | The Game of Bridg-It | Document | |
| Pat Derr | The Principle of Inclusion and Exclusion | Document | |
| Jonelle Dickmeyer | Harmonic Series | Document | |
| Jill Edgren | Generalizing the Pythagorean Theorem | Document | |
| Gary Eisenhauer | Jean Baptiste Joseph Fourier | Document | |
| Monte Else | Function Composition and Linear Fractional Transformations | Document | |
| Jodie Emerson, Tanya Archie | Study and Problem Analysis of ACT | Document | |
| Bryan Engelker | Area and Perimeter of Polygons | Document | |
| Alisa Favinger | The Polar Coordinate System | Document | |
| Diana French | Perfect Numbers | Document | |
| Jessica Fricke | Extending a Finite Sequence | Document | |
| Jeremy J. Fries | The Fundamental Theorem of Algebra | Document | |
| Stephanie Fuehrer | Palindromes | Document | |
| Katie Glacey | Perfect Shuffles: A Shortest Sequence to Move a Card | Document | |
| Doug Glasshoff | Taylor Polynomials | Document | |
| Amy S. Gordon | Prosthaphaeresis | Document | |
| Marlene Grayer | Sudoku: A Plan for a Successful End | Document | |
| Kyla Hall | The Polygon Game | Document | |
| Thomas J. Harrington | Evaluating Polynomials | Document | |
| Patty Hastings | The Perfect Shuffle | Document | |
| Kacy Heiser | Mathematics and Evolution | Document | |
| Cole Hilker | Coin Flipping Races | Document | |
| Kimberly Hirschfeld-Cotton | Wythoff's Game | Document | |
| Julie Hoaglund | Lester's Circle | Document | |
| Scott Johnsen | Sicherman Dice | Document | |
| Kristin Johnson | Heron, Brahmagupta, Pythagoras, and the Law of Cosines | Document | |
| Brian Johnson | The Monty Hall Problem | Document | |
| Emy Jones | The Kaprekar Routine | Document | |
| Mary Beth Kilnoski | The Mathematics of the Five Card Trick | Document | |
| Kesha King | Continued Fractions and the Man Who Knew Infinity | Document | |
| Brian Kohlhaas | A Mathematics-Music Connection | Document | |
| Jessica Korth | Spirals and Quilt Design | Document | |
| Julie Kreizel | Comparing Infinite Sets | Document | |
| Philip LaFleur | Napoleon's Theorem | Document | |
| Kelly LaFleur | Russell's Paradox | Document | |
| Sarah Larson | Self-Referencing: What is the Name of this Paper? | Document | |
| Chad Larson | Ethnomathematics | Document | |
| Emily Lashley | Mathematical Billiard Theory | Document | |
| Susan Leavitt | The Simple Complexity of Pascal's Triangle | Document | |
| Dianne M. Lee | What's So Amazing About Primes? | Document | |
| Stacie Lefler | Fractals and the Chaos Game | Document | |
| Tiffany Lothrop | The Square Root of i | Document | |
| Jocelyn Masasi | Vieta's Formulas | Document | |
| Micki McConnell | Arbelos of Archimedes | Document | |
| Carmen Melliger | How to Graphically Interpret the Complex Roots of a Quadratic Equation | Document | |
| Paula (Jakopovic) Millerd | Finding the Day of the Week for a Given Date - Gregorian Calendars | Document | |
| Linda Moore | Spherical Geometry | Document | |
| Shawn Mousel | The Exponential Function | Document | |
| Ryon Nilson | Solving Equations | Document | |
| Joseph Nuss | Isbell's "Jack and the Giant" | Document | |
| Loretta Ohnemus | Parametric Equations | Document | |
| Marci Ostmeyer | Powers | Document | |
| Katie Pease | Simple Linear Programming Model | Document | |
| Jim Pfeiffer | Triangulation | Document | |
| Maggie Pickering | Representing Fractions Using Different Bases | Document | |
| Kyle Poore | Taxicab Geometry | Document | |
| Jennie Premer | Stable Marriage Problem | Document | |
| Jeremy Renfro | Logarithms and Fast Calculations | Document | |
| Edie Ronhovde | Hats, Hats and More Hats | Document | |
| Lindsay Sample | The Locker Problem Revisited | Document | |
| Daniel Schaben | Experimentation with Two Formulas by Ramanujan | Document | |
| Mary Schneider | The Hog Dice Game | Document | |
| Valerie Schovanec | Complex Numbers and Imaginary Fractals: Julia Sets | Document | |
| Amy L. Schutz | Hyperbolic Functions | Document | |
| Bryce Schwanke | Decimals | Document | |
| Shelly Sehnert | Triangulation | Document | |
| Josh Severin | The Number Zero | Document | |
| Christina Sheets | Hyperbolic Geometry | Document | |
| Marcia J. Smith | Derivatives and Differential Equations | Document | |
| Sandi Snyder | Fractals and the Collage Theorem | Document | |
| Amy Solomon | Checkers? | Document | |
| Vicki Sorensen | The Art Gallery Question | Document | |
| Cindy Steinkruger | The Volume of a Platonic Solid | Document | |
| Shana Streeks | Simple Statements, Large Numbers | Document | |
| Diane Swartzlander | Pythagorean Triples | Document | |
| Tina Thompson | The Four Numbers Game | Document | |
| Jessica Thompson | The Incommensurability of the Real Numbers | Document | |
| Lindsey Thompson | Perimeter and Area of Inscribed and Circumscribed Polygons | Document | |
| Matthew Timm | Golomb Rulers | Document | |
| Janet Timoney | Distance, Rate, Time and Beyond | Document | |
| Greg Vanderbeek | Order of Operations and RPN Expository Paper | Document | |
| Lisa M. Vavra | Cramer's Rule | Document | |
| Aubrey Weitzenkamp | Interesting Fallacious Mathematical Arguments | Document | |
| Lynn West | An Introduction to Various Multiplication Strategies | Document | |
| Lexi Wichelt | Amicable Pairs | Document | |
| Leah Wilcox | The Geometry of Circles | Document | |
| Brandee Wilson | The Taxman Game | Document | |
| Keri Witherell | Amazing Applications of Determinants | Document | |
