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Elementary School
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Prime or Composite? Using Area Models and the Factor Game to Provide a Visual Framework
Jessica Heather Hunt
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On Your Mark, Get Set, Graph!
Ashley N. Karas
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Illuminating Representations
Patrick Vennebush
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Using Technology in Your Classroom - Welcome
Alfinio Flores
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Alternative Base Arithmetic Activities to Develop Teacher Empathy for Mathematics Concept Development
Jamar Pickreign
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Bar Grapher Beats a Fourth Grader’s Boredom
Rosalie Bates and Thomas Bates
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Exploring Area and Perimeter Relationships
Rebecca McGraw
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Learning Number Sense from a Broken Calculator
Judith Collison, Judah Schwartz and George Collison
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What Does Teaching Look Like Around the World?
Karen Givvin, Jennifer Jacobs and Hilary Hollingsworth
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3D Geometry in the 3rd Grade: Sorting and Describing Polyhedra
Rebecca Ambrose and Garrett Kenehan
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Electronic Explorations of Tessellations
Gina Gresham
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Using Mathematics Software to Enhance Elementary Students’ Learning
John Kerrigan
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Reflecting On Learning Fractions Without Understanding
Randolf A. Philipp and Cheryl Vincent
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Glimpses of the Concept of Equivalence Across the Grades
Eric Hart and Brian Keller
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Visual Tile Turning
Lynae Sakshaug and Kay Wohlhuter
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Using Language and Visualization to Teach Place and Value
Joan Cotter
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Promoting Discourse about Rational Number Relationships
Hollylynne Driier Stohl
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Middle School
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The Inner Relatedness of Area Formulas for Common Figures
Jessica H. Hunt and Didem Akyuz
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Student Produced Video Summaries
David Yopp
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Video Games and Mathematical Problem-Solving
Camille McCue
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Making Sense of Prime Numbers: The Case of Online Security
Maria L. Fernández and Lingguo Bu
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Fibonacci Scales & Melodies
Dan Canada and Jonathan Middleton
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Point, Click, Seek and Ponder: Using Spreadsheets and Equation Balance Beams to Actively Learn Linear Equation Solving
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Promoting Awareness and Implementation of Virtual Manipulatives
Ji-Eun Lee and Dyanne Tracy
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What Do Bouncing Tennis Balls Have to Do with Algebra?
Christopher Johnston
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The Pythagorean Theorem: Going Beyond a2 + b2 = c2
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Ratio Triplets
Dan Canada, Mike Gilbert and Keith Adolphson
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Dancing Triangles and Their Areas
Jessica Hunt
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Using Virtual Manipulatives to Model Computation with Fractions
Joy Bronston Schackow
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Techno-Zoo
Brenda R. Reed and Vanessa R. Huse
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Real-Time Traffic Data: A Vehicle for Statistical Exploration
Douglas Grouws, Lucy Payne, Matthew Winsor and Lawrence Lesser
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Applets and Algebra in the Middle Grades
Ted Hodgson
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Fill 'n' Pour
John Mahoney
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Fun & Games—Math Too (2): What Does 2 Have to Do with It?
Robert C. Gildersleeve
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Exploration of Angles and Circles
Carol A. Marinas
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Solving a Volume Problem Using the Geometer's Sketchpad
Ortiz Enrique and Angela T. Popovich
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Dot Patterns and Number Strips: Investigating Regularity with Applets
Martin van Reeuwijk and Margaret R. Meyer
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Investigations in Algebra with Virtual Manipulatives
Johnna Bolyard and Patricia Moyer
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Mathematics that will Rock You Like a Hurricane
Deborah A. Moore and Maria Schwartz
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Creating Technology-Enhanced Mathematics Investigations
Evan Glazer
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Building Properly Structured Mental Models for Reasoning About Volume
Michael Battista
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Movements in the Plane: Conjecturing About Properties of Transformations
Juli Dixon
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Developing Algebraic Thinking
Suzanne Alejandre
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High School
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What-If-Not Explorations with Triangle Centers
Robert M. Klein, Steve Phelps and Michael Todd Edwards
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Visualizing the Limits of Sequences
Beth Cory
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Quadratic Equations and “Cut-and-Paste” Geometry
Didem Akyuz and Juli K. Dixon
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A Rational Function’s End Behaviors and the Quotient of Its Associated Polynomials
Marvin E. Harrell and Dawn Slavins
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Taxicab Geometry: Explorations in Three Dimensions
Aaron Brakoniecki
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Which Representation is Best? Student Preferences and Technology
S. Asli Ozgun-Koca
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Mathematical Processing Instrument for Calculus
Erhan Selcuk Haciomeroglu, Leslie Aspinwall, Norma Presmeg, Eric Chicken and Lingguo Bu
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Archimedes' Frisbee - Discovering Geometry in Design
Marcus Hohenwarter
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A Baker's Dozen of Characterizations of the Geometric Mean and Illuminating Representations
James R. Olsen and Daniel J. Gustafson
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Shading Patterns in Multiplication Tables
Jane Keiser Krumpe and Norman Krumpe
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Pythagorean Theorem Proofs: Connecting Interactive Websites
Cheng-Yao Lin
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Delving into Functions with Function Diagrams
Henri Picciotto
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Interactive Representations of the Big Six Trigonometry Functions: Connections to Geometry and Language
Lawrence M. Lesser and Matthew S. Winsor
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Systems of Equations, Representations, and Habits of Mind
Doug Jones and Gerry Swan
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Solving Systems of Linear Equations: Linking Symbolic Manipulations, Graphs, and Solutions
George Collison and Judith Collison
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An Interactive Approach to Transforming Parabolas: The Quadratic Transformer
George Collison and Fadia Harik
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Transforming Linear Graphs: Linking Symbols, Forms, and Graphs
George Collison, Judith Collison and Fadia Harik
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Shear Mathematics or Euclid's Paradoxicals Applied
Robert Mead
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Calculator Demonstrations of Bell Curve Convergence using Polynomial Algebra
John Mahoney and Sean K. Barker
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Going Around in Circles: Connecting the Representations
Janet M. Walker
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The Golden Ratio and Fourth Degree Polynomials
Lin McMullin
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An Interactive Approach to Projectile Motion
Ted Hodson and Michael Fowler
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Explaining Monte Carlo Integration
Vincenzo Origlio
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The Mathematics of Perspective: An Introduction to the Cross Ratio
David Thomas
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Transforming Spreadsheets into Dynamic Interactive Teaching Tools
Mary Ann Buckley and Kelly Sprague
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Surprise! Any 3 Tangents...
Audrey Weeks
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Connecting Complex Roots to a Parabola's Graph
Audrey Weeks
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A Problem Based Approach to Mathematics Learning
Dianne Erickson
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Mathematically Appropriate Uses of Technology
Bethany Snyder Hudnutt and Robert M. Panoff
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Interactive String Parabolas
Alfinio Flores
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Maximizing Triangle Area: An Interactive Inspired Proof
Daniel Scher
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Multiple Levels
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Applets, Functions, and a Dynamic Understanding of Calculus
Ted Hodgson, David Schultz and Daniel Heath
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Hinged Geometry
Alfinio Flores
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Discovering Stars and Building Star Boards
Bill Stegemoller, Becky Stegemoller and Dana Willett
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Experimenting with Triangles: Sidelinks and Area
Gina Gresham
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Gambling Does Not Pay
David Rock
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One Problem: Three Strategies
Donna B. Ericksen, Dennis St. John and William Leibfritz
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Opportunities for Enhanced Mathematical Communication Via the Internet
David Rock and Nancy Wiggers
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Excelling with Fibonacci and the Golden Ratio
Elaine Young
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Preservice Teachers’ Justifications of an (NCTM) Electronic Example
Carol J. Bell
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