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
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 M^{2} 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 |