Concepts to Mathematical Tools to References Secondary

Pascal’s triangle -- computers/Internet/software/spreadsheets, video technology/multi-media, candy/food

Fibonacci and Pascal Together Again: Pattern Exploration in the Fibonacci Sequence.
Corey Andreasen.
Mathematics Teacher, March 1998, 91:3, 250-253.
Grade: Secondary
 
The Binomial Theorem Tastes the Rainbow.
Carolyn K. Cuff.
Mathematics Teacher, March 1998, 91:3, 262-264.
Grade: Secondary
 
Forest Fires, Oil Spills, and Fractal Geometry: An Investigation in Two Parts. (Part 1: Cellular Automata and Modeling Natural Phenomena).
L. Charles Biehl.
Mathematics Teacher, November 1998, 91:8, 682-690, 696-698.
Grade: 9-12
 
Multiple Representations for Pattern Exploration with the Graphing Calculator and Manipulatives. Douglas A. Lapp.
Mathematics Teacher, February 1999, 92:2, 109-113.
Grade: Secondary
Photographs and Committees: Activities That Help Students Discover Permutations and Combinations. Jennifer Earles Szydlik.
Mathematics Teacher, February 2000, 93:2, 93-99.
Grade: Secondary
Pascal’s Triangle -- Patterns, Paths, and Plinko.
Patricia Lemon.
Mathematics Teacher, April 1997, 90:4, 270-273.
Grade: Secondary


Patterns -- pattern blocks, geoboards, calculators/graphing calculators, cubes/Unifix cubes, computers/Internet/software/spreadsheets, games/puzzles/toys, compasses/spherical compass, models/simulation, building blocks/Lego, books/journals/newspapers/portfolios, protractors, rulers/tape measures/trundle wheels/calipers

Introducing the Variable through Pattern Exploration.
Lyn D. English and Elizabeth A. Warren.
Mathematics Teacher, February 1998, 91:2, 166-170.
Grade: 6-9
 
Tacoma Shuffle.
Lyman S. Holden and Loyce K. Holden.
Mathematics Teacher, March 1998, 91:3, 212-216.
Grade: Secondary
 
Fibonacci and Pascal Together Again: Pattern Exploration in the Fibonacci Sequence.
Corey Andreasen.
Mathematics Teacher, March 1998, 91:3, 250-253.
Grade: Secondary
 
The Conic Sections in Taxicab Geometry: Some Investigations for High School Students.
Fernand J. Prevost.
Mathematics Teacher, April 1998, 91:4, 304-310, 316-317, 341.
Grade: Secondary
 
Paving the Way to Algebraic Thought Using Residue Designs.
Iris DeLoach Johnson.
Mathematics Teacher, April 1998, 91:4, 326-332.
Grade: 8
 
An EXCELlent Bridge to Algebra.
Alex Friedlander.
Mathematics Teacher, May 1998, 91:5, 383-383.
Grade: 7
 
Fun Fractions? You’ve Got to Be Kidding!
Richard Kreminski.
Mathematics Teacher, October 1998, 91:7, 572-575.
Grade: Secondary
 
Stitching Quilts into Coordinate Geometry.
Susanne K. Westegaard.
Mathematics Teacher, October 1998, 91:7, 587-592, 598-600.
Grade: 7-12
 
Types of Students’ Justifications.
Larry Sowder and Guershon Harel.
Mathematics Teacher, November 1998, 91:8, 670-675.
Grade: Secondary
 
Ideas for Developing Students’ Reasoning: A Hungarian Perspective.
Anita Szombathelyi and Tibor Szarvas.
Mathematics Teacher, November 1998, 91:8, 677-681.
Grade: Secondary
 
Forest Fires, Oil Spills, and Fractal Geometry: An Investigation in Two Parts. (Part 1: Cellular Automata and Modeling Natural Phenomena).
L. Charles Biehl.
Mathematics Teacher, November 1998, 91:8, 682-690, 696-698.
Grade: 9-12
 
Prove It!
Amy A. Prince.
Mathematics Teacher, November 1998, 91:8, 726-728.
Grade: 8-9
 
Nonperiodic Tilings: The Irrational Numbers of the Tiling World.
Michael Naylor.
Mathematics Teacher, January 1999, 92:1, 34-40, 46-48.
Grade: Secondary
 
Promote Systems of Linear Inequalities with Real-World Problems.
Thomas G. Edwards and Kenneth R. Chelst.
Mathematics Teacher, February 1999, 92:2, 118-123.
Grade: Secondary
 
Analyzing and Making Sense of Statistics in Newspapers.
Richard S. Kitchen.
Mathematics Teacher, April 1999, 92:4, 318-322.
Grade: 9-12
 
Graphing for All Students.
William L. Blubaugh and Kristin Emmons.
Mathematics Teacher, April 1999, 92:4, 323-326, 332-334.
Grade: Secondary
 
Discovering Optimum Networks in Triangles.
Robert Iovinelli.
Mathematics Teacher, September 1999, 92:6, 531-539.
Grade: Secondary
 
Counting Triples, Triangles, and Acute Triangles.
Ruth McClintock.
Mathematics Teacher, October 1999, 92:7, 612-619.
Grade: 9-12
 
Data Analysis and Baseball.
Gary Talsma.
Mathematics Teacher, November 1999, 92:8, 738-742.
Grade: Secondary
 
Triangular Number in Problem Solving.
Walter Szetela.
Mathematics Teacher, December 1999, 92:9, 820-824.
Grade: Secondary
 
Making Sense of Slope.
Ann R. Crawford and William E. Scott.
Mathematics Teacher, February 2000, 93:2, 114-118.
Grade: Secondary
 
Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology.
Gina M. Foletta and David B. Leep.
Mathematics Teacher, February 2000, 93:2, 144-147.
Grade: Secondary
 
Using Financial Headlines and the Internet to Keep Statistics Classes Fresh.
Marilyn B. Durkin.
Mathematics Teacher, April 2000, 93:4, 318-323.
Grade: Secondary
 
Group Symmetries Connect Art & History with Mathematics.
Anthula Natsoulas.
Mathematics Teacher, May 2000, 93:5, 364-370.
Grade: Secondary
 
[Naturally] Numbers Are Fun.
Don Crossfield.
Mathematics Teacher, February 1997, 90:2, 92-95.
Grade: Secondary
 
Getting into the "Swing" of Functions.
Lauren Clarke.
Mathematics Teacher, February 1997, 90:2, 102-109.
Grade: Secondary
 
Iterating Linear Functions -- an Introduction to Dynamical Systems.
Jonathan Choate and Henri Picciotto.
Mathematics Teacher, February 1997, 90:2, 122-126, 132-136.
Grade: 9-12
 
Algebraic Thinking: A Theme for Professional Development.
Faye Ruopp, Al Cuoco, Sue M. Rasala, and M. Grace Kelemanik.
Mathematics Teacher, February 1997, 90:2, 150-154.
Grade: Kindergarten -- 12
 
The Pyramid Question: A Problem-Solving Adventure.
Ruth M. McClintock.
Mathematics Teacher, April 1997, 90:4, 262-268.
Grade: Secondary
 
Reasoning with Algebra.
Alex Friedlander and Rina Hershkowitz.
Mathematics Teacher, September 1997, 90:6, 443-447.
Grade: Secondary
 
The Square-Patio Problem.
Martha H. Lowther.
Mathematics Teacher, January 1996, 89:1, 4-6.
Grade: Middle -- Secondary
 
Perimeters, Patterns, and Pi.
Sue Barnes.
Mathematics Teacher, April 1996, 89:4, 284-288.
Grade: 9-10
 
Becoming Flexible with Functions: Investigating United States Population Growth.
Barry E. Shealy.
Mathematics Teacher, May 1996, 89:5, 414-418.
Grade: Secondary
 
A Concrete Approach to Mathematical Induction.
Frances Van Dyke.
Mathematics Teacher, April 1995, 88:4, 302-307, 314-318.
Grade: 10-12


Perimeter/circumference -- geoboards, pattern blocks, cubes/Unifix cubes, candy/food, rulers/tape measures/trundle wheels/calipers, computers/Internet/software/spreadsheets, balloons, models/simulation, base-ten blocks

Sine, Curves and Spaghetti.
Blake E. Peterson, Patrick Averbeck, and Lynanna Baker. .
Mathematics Teacher, October 1998, 91:7, 564-567.
Grade: Secondary
 
In Search of Perfect Triangles.
Martin Vern Bonsangue.
Mathematics Teacher, January 1999, 92:1, 56-61.
Grade: Secondary
 
Fractals in High School: Exploring a New Geometry.
Randi Lornell and Judy Westerberg.
Mathematics Teacher, March 1999, 92:3, 260-269.
Grade: Secondary
 
Experiencing Radians.
Patrick J. Eggleton.
Mathematics Teacher, September 1999, 92:6, 468-471.
Grade: Secondary
 
Counting Triples, Triangles, and Acute Triangles.
Ruth McClintock.
Mathematics Teacher, October 1999, 92:7, 612-619.
Grade: 9-12
 
Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology.
Gina M. Foletta and David B. Leep.
Mathematics Teacher, February 2000, 93:2, 144-147.
Grade: Secondary
 
The Pyramid Question: A Problem-Solving Adventure.
Ruth M. McClintock.
Mathematics Teacher, April 1997, 90:4, 262-268.
Grade: Secondary
 
More Functions of a Toy Balloon.
Loring Coes III.
Mathematics Teacher, April 1997, 90:4, 290-294, 300-302.
Grade: Secondary
 
Reasoning with Algebra.
Alex Friedlander and Rina Hershkowitz.
Mathematics Teacher, September 1997, 90:6, 443-447.
Grade: Secondary
 
The Pentagon Problem: Geometric Reasoning with Technology.
Rose Mary Zbiek.
Mathematics Teacher, February 1996, 89:2, 86-90.
Grade: Secondary
 
Perimeters, Patterns, and Pi.
Sue Barnes.
Mathematics Teacher, April 1996, 89:4, 284-288.
Grade: 9-10
 
Where are We?
Charles Waiveris and Timothy V. Craine.
Mathematics Teacher, September 1996, 89:6, 524-534.
Grade: 9-11
 
Multiple Connections.
Rose Mary Zbiek.
Mathematics Teacher, November 1996, 89:8, 628-634.
Grade: 9


Permutations/combinations -- computers/Internet/software/spreadsheets, calculators/graphing calculators, books/journals/newspapers/portfolios, candy/food, games/puzzles/toys, algebra tiles, maps/projections/globe, geometric shapes, books/journals/newspapers/portfolios, video technology/multi-media

The Binomial Theorem Tastes the Rainbow.
Carolyn K. Cuff.
Mathematics Teacher, March 1998, 91:3, 262-264.
Grade: Secondary
 
Counting Triples, Triangles, and Acute Triangles.
Ruth McClintock.
Mathematics Teacher, October 1999, 92:7, 612-619.
Grade: 9-12
 
The Role of Technology in Introductory Statistics Classes.
George N. Bratton.
Mathematics Teacher, November 1999, 92:8, 666-669.
Grade: Secondary
 
Developing Mathematical Reasoning Using Attribute Games.
Anne Larson Quinn, Robert M. Koca Jr., and Frederick Weening.
Mathematics Teacher, December 1999, 92:9, 768-775.
Grade: Secondary
 
Bingo Games: Turning Students Intuitions into Investigations in Probability and Number Sense.
Jennifer M. Bay, Robert E. Reys, Ken Simms, and P. Mark Taylor.
Mathematics Teacher, March 2000, 93:3, 200-206.
Grade: 7-9
 
Integrating Mathematical Strands.
Andrew V. Janovsky.
Mathematics Teacher, October 1997, 90:7, 516-519.
Grade: 9
 
Winning at QUARTO!
Christopher J. Kulig, O. Carm.
Mathematics Teacher, May 1996, 89:5, 374-375.
Grade: Secondary
 
Using a Digital Camera to Verify Quadratic Behavior.
Harris S. Schultz.
Mathematics Teacher, April 1999, 92:4, 292-293.
Grade: Secondary
 
A Formula for Factoring.
Kay I. Meeks Roebuck.
Mathematics Teacher, March 1997, 90:3, 206-207.
Grade: Secondary
 
Connecting Writing to the Mathematics Curriculum.
David K. Pugalee.
Mathematics Teacher, April 1997, 90:4, 308-310.
Grade: Secondary
 
A Computer for All Students -- Revisited.
Bert K. Waits and Franklin Demana.
Mathematics Teacher, December 1996, 89:9, 712-714.
Grade: 9-12
 
A Geometric Approach to the Discriminent.
R. Daniel Hurwitz.
Mathematics Teacher, April 1995, 88:4, 323-325.
Grade: Secondary
 
Pascal’s Triangle -- Patterns, Paths, and Plinko.
Patricia Lemon.
Mathematics Teacher, April 1997, 90:4, 270-273.
Grade: Secondary


Physics -- calculators/graphing calculators, models/simulation, balance scale/weights/scales, springs, clocks/stopwatches/calenders

Astronomical Math.
Robert Ryden.
Mathematics Teacher, December 1999, 92:9, 786-792.
Grade: Secondary
 
Kinematics and Graphs: Students’ Difficulties and CBLs.
Patricia Hale.
Mathematics Teacher, May 2000, 93:5, 414-417.
Grade: Secondary
 
How One Physics Teacher Changed His Algebraic Thinking.
Marsha P. Nicol.
Mathematics Teacher, February 1997, 90:2, 86-89.
Grade: Secondary
 
Building Mathematical Models of Simple Harmonic and Damped Motion.
Thomas Edwards.
Mathematics Teacher, January 1995, 88:1, 18-22.
Grade: 11-12


Probability -- spinners, dice/number cubes, balance scale/weights/scales, money, cubes/Unifix cubes, computers/Internet/software/spreadsheets, candy/food, springs, paper/origami/stencil patterns/graph paper, books/journals/newspapers/portfolios, rulers/tape measures/trundle wheels/calipers, geometric shapes, slide rules, nomographs, arithmetic-mean machine, compasses/spherical compass, games/puzzles/toys, video technology/multi-media, clocks/stopwatches/calenders

Probability, Matrices, and Bugs in Trees.
Paula Grafton Young.
Mathematics Teacher, May 1998, 91:5, 402-406, 412-415.
Grade: Secondary
 
Using Scoring Criteria to Communicate about the Discipline of Mathematics.
Catherine S. Taylor and Barbara Bidlingmaier.
Mathematics Teacher, May 1998, 91:5, 416-425.
Grade: Secondary
 
Up the Creek with a Paddle.
Mikel Haug.
Mathematics Teacher, September 1998, 91:6, 456-460.
Grade: 8-12
 
Dice and Disease in the Classroom.
Marilyn Stor and William L. Briggs.
Mathematics Teacher, September 1998, 91:6, 464-468.
Grade: Secondary
 
Stitching Quilts into Coordinate Geometry.
Susanne K. Westegaard.
Mathematics Teacher, October 1998, 91:7, 587-592, 598-600.
Grade: 7-12
 
Random Variables: Simulations and Surprising Connections.
Robert J. Quinn and Stephen Tomlinson.
Mathematics Teacher, January 1999, 92:1, 4-9.
Grade: 11-12
 
Who’s Winning at MONOPOLY JUNIOR?
Donald E. Hooley.
Mathematics Teacher, March 1999, 92:3, 197-203.
Grade: Secondary
 
Statistics and the Academy Awards.
Thomas J. Pandolfini Jr. and Joseph L. Alfano.
Mathematics Teacher, March 1999, 92:3, 219-221.
Grade: Secondary
 
Teaching Statistics Using Humorous Anecdotes.
Hershey H. Friedman, Noemi Halpern, and David Salb.
Mathematics Teacher, April 1999, 92:4, 305-308.
Grade: Secondary
 
Exploring the Birthday Problem with Spreadsheets.
Lawrence M. Lesser.
Mathematics Teacher, May 1999, 92:5, 407-411.
Grade: Secondary
 
It’s All in the Area.
J. Todd Lee.
Mathematics Teacher, November 1999, 92:8, 670-672.
Grade: Secondary
 
Secondary Students’ Performance on Data and Chance in the 1996 NAEP.
J. Michael Shaughnessy and Judith S. Zawojewski.
Mathematics Teacher, November 1999, 92:8, 713-723.
Grade: Secondary
 
Making the Black Box Transparent.
Lawrence M. Lesser.
Mathematics Teacher, December 1999, 92:9, 780-784.
Grade: Secondary
 
Service Learning: Taking Mathematics into the Real World.
Johnny L. Duke.
Mathematics Teacher, December 1999, 92:9, 794-796.
Grade: Secondary
 
A Mathematical Study of the Game "Twenty-Four Points."
Yixun Shi.
Mathematics Teacher, December 1999, 92:9, 828-832.
Grade: Secondary
 
Bingo Games: Turning Students Intuitions into Investigations in Probability and Number Sense.
Jennifer M. Bay, Robert E. Reys, Ken Simms, and P. Mark Taylor.
Mathematics Teacher, March 2000, 93:3, 200-206.
Grade: 7-9
 
The Birthday Problem Explained.
John M. Johnson.
Mathematics Teacher, January 1997, 90:1, 20-22.
Grade: Secondary
 
Pascal’s Triangle -- Patterns, Paths, and Plinko.
Patricia Lemon.
Mathematics Teacher, April 1997, 90:4, 270-273.
Grade: Secondary
 
Realistic Problem Formulation and Problem Solving.
Anthony Ralston and Stephen S. Willoughby.
Mathematics Teacher, September 1997, 90:6, 430-434.
Grade: 2 -- college undergraduate
 
Representing Probabilities with Pipe Diagrams.
Clifford Konold.
Mathematics Teacher, May 1996, 89:5, 378-382.
Grade: Secondary -- College
 
The Advanced Placement Course in Statistics: Increasing Students’ Options.
Anthony V. Piccolino.
Mathematics Teacher, May 1996, 89:5, 376-377.
Grade: Secondary
 
Experiments from Psychology and Neurology.
William S. Hadley.
Mathematics Teacher, October 1996, 89:7, 562-569.
Grade: Secondary
 
Conditional Probability: Its Place in the Mathematics Curriculum.
Jane M. Watson.
Mathematics Teacher, January 1995, 88:1, 12-17.
Grade: Secondary
 
Plinko, Probability and Pascal. LaDawn Haws.
Mathematics Teacher, April 1995, 88:4, 282-285.
Grade: Secondary
 
Teaching Sensible Mathematics in Sense-Making Ways with the CPMP.
Christian R. Hirsch, Arthur F. Coxford, James T. Fey, and Harold L. Schoen.
Mathematics Teacher, November 1995, 88:8, 694-700.
Grade: Secondary


Problem solving/thinking skills -- calculators/graphing calculators, money, geometric shapes, video technology/multi-media, computers/Internet/software/spreadsheets, games/puzzles/toys, candy/food, spinners, building blocks/Lego, protractors, rulers/straightedge/tape measure/meter sticks/trundle wheels/calipers/spherical straightedge, models/simulation, dice/number cubes, geoboards, clinometer/transit, cubes/Unifix cubes, books/journals/newspapers/portfolios, base-ten blocks

Multiple Representations and Connections Using Technology.
Charles Vonder Embse and Vernon W. Yoder.
Mathematics Teacher, January 1998, 91:1, 62-67.
Grade: Secondary
 
Assessing Justification and Proof in Geometry Classes Taught Using Dynamic Software.
Enrique Galindo.
Mathematics Teacher, January 1998, 91:1, 76-82.
Grade: Secondary
 
Keep Counting Those Boxes -- There’s More.
Richard M. Grassl and Tabitha T.Y. Mingus.
Mathematics Teacher, February 1998, 91:2, 122-127.
Grade: 9-12
 
Focusing on Worthwhile Mathematical Tasks in Professional Development: Using a Task from the National Assessment of Educational Progress.
Mathematics Teacher, February 1998, 91:2, 156-161.
Grade: Secondary
 
Finding Buried Treasures -- An Application of the Geometer’s Sketchpad.
Thomas W. Shilgalis.
Mathematics Teacher, February 1998, 91:2, 162-165.
Grade: Secondary
 
Using Spreadsheets to Analyze the Historical Perspectives of Apportionment.
Robert Iovinelli.
Mathematics Teacher, February 1998, 91:2, 176-182.
Grade: Secondary
 
Students Generating Test Items: A Teaching and Assessment Strategy.
Victor U. Odafe.
Mathematics Teacher, March 1998, 91:3, 198-202.
Grade: Secondary
Interactive Technology and Classic Geometry Problems.
Jean J. McGehee. Mathematics Teacher, March 1998, 91:3, 204-208.
Grade: Secondary
Tacoma Shuffle.
Lyman S. Holden and Loyce K. Holden.
Mathematics Teacher, March 1998, 91:3, 212-216.
Grade: Secondary
 
The Binomial Theorem Tastes the Rainbow.
Carolyn K. Cuff. Mathematics Teacher, March 1998, 91:3, 262-264.
Grade: Secondary
The Cevian Problem.
Duane W. DeTemple and Marjorie Ann Fitting.
Mathematics Teacher, May 1998, 91:5, 388-392.
Grade: Secondary
 
Using Scoring Criteria to Communicate about the Discipline of Mathematics.
Catherine S. Taylor and Barbara Bidlingmaier.
Mathematics Teacher, May 1998, 91:5, 416-425.
Grade: Secondary
 
Up the Creek with a Paddle.
Mikel Haug.
Mathematics Teacher, September 1998, 91:6, 456-460.
Grade: 8-12
 
Locus of Triangle Vertices.
Joe Dan Austin.
Mathematics Teacher, September 1998, 91:6, 474-476.
Grade: Secondary
 
Problem Solving with the Rule of Three.
Daniel J. Reinford.
Mathematics Teacher, October 1998, 91:7, 558-563.
Grade: Secondary
 
Geometry Classroom Pictures: What’s Developing?
Kay A. Wohlhuter.
Mathematics Teacher, October 1998, 91:7, 606-609.
Grade: Secondary
 
Prove It! Amy A. Prince.
Mathematics Teacher, November 1998, 91:8, 726-728.
Grade: 8-9
 
A Discourse on Discourse: Wrestling with Teaching Rational Equations.
Cynthia Marie Smith.
Mathematics Teacher, December 1998, 91:9, 749-753.
Grade: Secondary
 
Changes in Your Classroom: From the Past to the Present to the Future.
Gail Burrill.
Mathematics Teacher, December 1998, 91:9, 800-806.
Grade: Pre-K -- 12
In Search of Perfect Triangles.
Martin Vern Bonsangue.
Mathematics Teacher, January 1999, 92:1, 56-61.
Grade: Secondary
 
Sharing Ideas about Teaching Proving.
David A. Reid.
Mathematics Teacher, November 1998, 91:8, 704-706.
Grade: Secondary
Using ROOTine Problems for Group Work in Geometry.
Regina M. Panasuk and Yvonne Greenleaf.
Mathematics Teacher, December 1998, 91:9, 794-798.
Grade: Secondary
 
Multiple Representations for Pattern Exploration with the Graphing Calculator and Manipulatives. Douglas A. Lapp.
Mathematics Teacher, February 1999, 92:2, 109-113.
Grade: Secondary
 
Geometry Problems Promoting Reasoning and Understanding.
Alfred B. Manaster and Beth M. Schlesinger.
Mathematics Teacher, February 1999, 92:2, 114-116.
Grade: 8
 
Promote Systems of Linear Inequalities with Real-World Problems.
Thomas G. Edwards and Kenneth R. Chelst.
Mathematics Teacher, February 1999, 92:2, 118-123.
Grade: Secondary
 
Extending a (TIMSS) Japanese Lesson Using Trigonometry.
David L. Pagni and Harris S. Schultz.
Mathematics Teacher, March 1999, 92:3, 189-191.
Grade: Secondary
 
The Recurring Fibonacci Sequence: Using a Pose-and-Probe Rubric.
Kenneth L. Shaw and Leslie Aspinwall.
Mathematics Teacher, March 1999, 92:3, 192-196.
Grade: Secondary
 
Studying Proportions Using the Capture-Recapture Method.
Gregory D. Bisbu and David M. Conway.
Mathematics Teacher, March 1999, 92:3, 215-218.
Grade: Secondary
 
Cooperative Learning in Mathematics.
Roza Leikin and Orit Zaslavsky.
Mathematics Teacher, March 1999, 92:3, 240-246.
Grade: Secondary
 
Changing Assessment Practices in an Algebra Class, or "Will This Be on the Test?"
Tricia Murphy.
Mathematics Teacher, March 1999, 92:3, 247-249.
Grade: Secondary
 
Using the Elegance of Arithmetic to Enhance the Power of Algebra.
Michael McConnell and Dip N. Bhattachanya.
Mathematics Teacher, September 1999, 92:6, 492-495.
Grade: Secondary
 
Creative Writing in Trigonometry.
Julia A Barnes.
Mathematics Teacher, September 1999, 92:6, 498-503.
Grade: Secondary
 
A Problem-Based Approach to Mathematics Instruction.
Dianne K. Erickson.
Mathematics Teacher, September 1999, 92:6, 516-521.
Grade: Secondary
 
Discovering Optimum Networks in Triangles.
Robert Iovinelli.
Mathematics Teacher, September 1999, 92:6, 531-539.
Grade: Secondary
 
Chipping Away at Proofs: A Cooperative Approach.
Mathematics Teacher, October 1999, 92:7, 565-567.
Grade: Secondary
 
Discovering an Optimal Property of the Median.
Neil C. Schwertman.
Mathematics Teacher, November 1999, 92:8, 692-703.
Grade: Secondary
 
German Tanks: A Problem in Estimation.
David C. Flaspohler and Ann L. Dinkheller.
Mathematics Teacher, November 1999, 92:8, 724-728.
Grade: Elementary Statistics
 
Developing Mathematical Reasoning Using Attribute Games.
Anne Larson Quinn, Robert M. Koca Jr., and Frederick Weening.
Mathematics Teacher, December 1999, 92:9, 768-775.
Grade: Secondary
 
Service Learning: Taking Mathematics into the Real World.
Johnny L. Duke.
Mathematics Teacher, December 1999, 92:9, 794-796.
Grade: Secondary
 
Triangular Number in Problem Solving.
Walter Szetela.
Mathematics Teacher, December 1999, 92:9, 820-824.
Grade: Secondary
 
Reunion of Broken Parts: Experiencing Diversity in Algebra.
Lawrence M. Lesser.
Mathematics Teacher, January 2000, 93:1, 62-66.
Grade: Secondary
 
Photographs and Committees: Activities That Help Students Discover Permutations and Combinations.
Jennifer Earles Szydlik.
Mathematics Teacher, February 2000, 93:2, 93-99.
Grade: Secondary
 
Making Sense of Slope.
Ann R. Crawford and William E. Scott.
Mathematics Teacher, February 2000, 93:2, 114-118.
Grade: Secondary
 
The Prisoner Problem -- A Generalization.
Gerald E. Gannon and Mario U. Martelli.
Mathematics Teacher, March 2000, 93:3, 192-193.
Grade: Secondary
 
Moving beyond Teachers’ Intuitive Beliefs about Algebra Learning.
Mitchell J. Nathan and Kenneth R. Koedinger.
Mathematics Teacher, March 2000, 93:3, 218-223.
Grade: Secondary
 
Using the Geometer’s Sketchpad to Visualize Maximum-Volume Problems.
David C. Purdy.
Mathematics Teacher, March 2000, 93:3, 224-228.
Grade: Secondary
 
A Geometry Solution from Multiple Perspectives.
Phillip Nissen.
Mathematics Teacher, April 2000, 93:4, 324-327.
Grade: Secondary
 
Sum of Songs: Making Mathematics Less Monotone!
Lawrence Mark Lesser.
Mathematics Teacher, May 2000, 93:5, 372-377.
Grade: Secondary
 
The Spaghetti Problem Problem.
Dennis Ippolito.
Mathematics Teacher, May 2000, 93:5, 422-426.
Grade: Secondary
 
How One Physics Teacher Changed His Algebraic Thinking.
Marsha P. Nicol.
Mathematics Teacher, February 1997, 90:2, 86-89.
Grade: Secondary
 
Multiple Representations -- Using Different Perspectives to Form a Clearer Picture.
Cynthia M. Piez and Mary H. Voxman.
Mathematics Teacher, February 1997, 90:2, 164-166.
Grade: Secondary -- undergraduate
 
A Popcorn Project for All Students.
Lydotta M. Taylor and Joann L. King.
Mathematics Teacher, March 1997, 90:3, 194-200.
Grade: Secondary
 
A Mathematics Trail at Exeter Academy.
Ron Lancaster and Vince Delisi.
Mathematics Teacher, March 1997, 90:3, 234-237.
Grade: Secondary
 
The Pyramid Question: A Problem-Solving Adventure.
Ruth M. McClintock.
Mathematics Teacher, April 1997, 90:4, 262-268.
Grade: Secondary
 
Realistic Problem Formulation and Problem Solving.
Anthony Ralston and Stephen S. Willoughby.
Mathematics Teacher, September 1997, 90:6, 430-434.
Grade: 2 -- college undergraduate
 
Reasoning with Algebra.
Alex Friedlander and Rina Hershkowitz.
Mathematics Teacher, September 1997, 90:6, 443-447.
Grade: Secondary
 
Teachers and Students Learning Together about Assessing Problem Solving.
Marge Petit and Judith S. Zawojewski.
Mathematics Teacher, September 1997, 90:6, 472-477.
Grade: Secondary
 
Problem Solving Does Not Have to Be a Problem.
Cynthia Barb and Anne Larson Quinn.
Mathematics Teacher, October 1997, 90:7, 536-542.
Grade: Secondary
 
The Square-Patio Problem.
Martha H. Lowther.
Mathematics Teacher, January 1996, 89:1, 4-6.
Grade: Middle -- Secondary
 
The Case of Trapezoidal Numbers.
Carol Feinberg-McBrian.
Mathematics Teacher, January 1996, 89:1, 16-24.
Grade: Secondary
 
Illustrating Mathematical Connections: A Geometric Proof of Euler’s Theorem.
Erin K. Fry and Peter L. Glidden.
Mathematics Teacher, January 1996, 89:1, 62-65.
Grade: Secondary
 
Communicating Performance Criteria to Students through Technology.
Nancy C. Lavigne and Susanne P. Lajoie.
Mathematics Teacher, January 1996, 89:1, 66-69.
Grade: Secondary
 
A Visual Approach to Solving Mixture Problems.
Albert B. Bennett Jr. and Eugene Maier.
Mathematics Teacher, February 1996, 89:2, 108-111.
Grade: 9-12
 
Informal Assessment: A Story from the Classroom.
Mary Lynn Vincent and Linda Wilson.
Mathematics Teacher, March 1996, 89:3, 248-250.
Grade: Secondary
 
How High is the Water Tower?
Richard Alverez.
Mathematics Teacher, April 1996, 89:4, 271-278.
Grade: Secondary
 
Cutting a Chain -- a Problem Made to Be Generalized.
Gerald Gannon and Mario Martelli.
Mathematics Teacher, April 1996, 89:4, 292-293.
Grade: Secondary
 
Merging Mathematics and English: One Approach to Bridging the Disciplines.
J. Clark Hansbarger and Eric Lane Stewart.
Mathematics Teacher, April 1996, 89:4, 294-297.
Grade: 9-10
 
Analyzing Data from the Olympic Games for Trends and Inferences.
Richard T. Edgerton.
Mathematics Teacher, May 1996, 89:5, 370-372.
Grade: Secondary
 
Reflections: A Lesson in Related Rates.
Joe D. Nichols.
Mathematics Teacher, May 1996, 89:5, 390-393.
Grade: Secondary
 
A Mean Solution to an Old Circle Standard.
Andrew J. Samide and Amanda M. Warfield.
Mathematics Teacher, May 1996, 89:5, 411-413.
Grade: Secondary
 
Becoming Flexible with Functions: Investigating United States Population Growth.
Barry E. Shealy.
Mathematics Teacher, May 1996, 89:5, 414-418.
Grade: Secondary
Connecting Writing to the Mathematics Curriculum.
David K. Pugalee.
Mathematics Teacher, April 1997, 90:4, 308-310.
Grade: Secondary
 
Problem Solving: A Method for All Seasons.
Alice Hess, I.H.M.
Mathematics Teacher, October 1996, 89:7, 598-601.
Grade: Secondary
 
Geometry, Iteration, and Finance.
A. Landy Godbold Jr.
Mathematics Teacher, November 1996, 89:8, 646-651.
Grade: Secondary
 
Assessing Students’ Ability to Analyze Data: Reaching Beyond Computation.
Frances R. Curcio and Alice F. Artzt.
Mathematics Teacher, November 1996, 89:8, 668-673.
Grade: Upper middle -- Secondary
 
Increasing Mathematics Confidence by Using Worked Examples.
William M. Carroll.
Mathematics Teacher, April 1995, 88:4, 276-279.
Grade: Secondary
 
Plinko, Probability and Pascal.
LaDawn Haws.
Mathematics Teacher, April 1995, 88:4, 282-285.
Grade: Secondary
 
A Concrete Approach to Mathematical Induction.
Frances Van Dyke.
Mathematics Teacher, April 1995, 88:4, 302-307, 314-318.
Grade: 10-12
 
When Does a Dog Become Older Than Its Owner?
Anne Larson Quinn and Karen R. Larson.
Mathematics Teacher, December 1996, 89:9, 734-737.
Grade: Secondary
 
Calender. Mathematics Teacher.


Proofs/theorems -- geometric shapes, calculators/graphing calculators, models/simulation, computers/Internet/software/spreadsheets, compasses/spherical compass, rulers/straightedge/tape measure/meter sticks/trundle wheels/spherical straightedge, dice/number cubes, geoboards, games/puzzles/toys, graduated cylinder, paper/origami/stencil patterns/graph paper, video technology/multi-media

Illustrating Mathematical Connections: A Geometric Proof of Euler’s Theorem.
Erin K. Fry and Peter L. Glidden.
Mathematics Teacher, January 1996, 89:1, 62-65.
Grade: Secondary
 
Using Clock Arithmetic to Send Secret Messages.
Catherine A. Gorini.
Mathematics Teacher, February 1996, 89:2, 100-104.
Grade: Secondary
 
Locus of Triangle Vertices.
Joe Dan Austin.
Mathematics Teacher, September 1998, 91:6, 474-476.
Grade: Secondary
 
Geometric Construction: Visualizing and Understanding Geometry.
Cathleen V. Sanders.
Mathematics Teacher, October 1998, 91:7, 554-556.
Grade: Secondary
 
"I Would Consider the Following to Be a Proof…"
Walter Dodge, Kathleen Goto and Philip Mallinson.
Mathematics Teacher, November 1998, 91:8, 652-653.
Grade: Secondary
 
Proof by Contradiction and the Electoral College.
Charles Redmond, Michael P. Federici, and Donald M. Platte.
Mathematics Teacher, November 1998, 91:8, 655-658.
Grade: Secondary
 
Can Computers Be Used to Teach Proofs?
Judith A. Silver.
Mathematics Teacher, November 1998, 91:8, 660-663.
Grade: Secondary
 
Types of Students’ Justifications.
Larry Sowder and Guershon Harel.
Mathematics Teacher, November 1998, 91:8, 670-675.
Grade: Secondary
 
Ideas for Developing Students’ Reasoning: A Hungarian Perspective.
Anita Szombathelyi and Tibor Szarvas.
Mathematics Teacher, November 1998, 91:8, 677-681.
Grade: Secondary
 
A Unified Framework for Proof and Disproof.
Susanna S. Epp.
Mathematics Teacher, November 1998, 91:8, 708-713.
Grade: Secondary
 
Characterizing Students’ Understandings of Mathematical Proof.
Eric J. Knuth and Rebekah L. Elliott.
Mathematics Teacher, November 1998, 91:8, 712-717.
Grade: Secondary
 
Proof in Modern Geometry.
Stanley P. Izen.
Mathematics Teacher, November 1998, 91:8, 718-720.
Grade: Secondary
 
On Proofs and Their Performance as Works of Art.
Greisy Winicki-Landman.
Mathematics Teacher, November 1998, 91:8, 722-725.
Grade: Secondary
 
Prove It!
Amy A. Prince.
Mathematics Teacher, November 1998, 91:8, 726-728.
Grade: 8-9
 
The Euler Line and Nine-Point-Circle Theorems.
Frank M. Eccles.
Mathematics Teacher, January 1999, 92:1, 50-54.
Grade: Secondary
 
Sharing Ideas about Teaching Proving.
David A. Reid.
Mathematics Teacher, November 1998, 91:8, 704-706.
Grade: Secondary
 
Multiple Representations for Pattern Exploration with the Graphing Calculator and Manipulatives.
Douglas A. Lapp.
Mathematics Teacher, February 1999, 92:2, 109-113.
Grade: Secondary
 
Forest Fires, Oil Spills, and Fractal Geometry: An Investigation in Two Parts. (Part 2: Using Fractal Complexity to Analyze Mathematical Models).
L. Charles Biehl.
Mathematics Teacher, February 1999, 92:2, 128-130, 136-139.
Grade: 9-12
 
The Rules of the Game.
Don Gernes.
Mathematics Teacher, May 1999, 92:5, 424-429.
Grade: Secondary
 
Ten Lessons from the Proof of Fermat’s Last Theorem.
Jeremy Kahan.
Mathematics Teacher, September 1999, 92:6, 530-531.
Grade: Secondary
Chipping Away at Proofs: A Cooperative Approach.
Mathematics Teacher, October 1999, 92:7, 565-567.
Grade: Secondary
 
Discovering an Optimal Property of the Median.
Neil C. Schwertman.
Mathematics Teacher, November 1999, 92:8, 692-703.
Grade: Secondary
 
Developing Mathematical Reasoning Using Attribute Games.
Anne Larson Quinn, Robert M. Koca Jr., and Frederick Weening.
Mathematics Teacher, December 1999, 92:9, 768-775.
Grade: Secondary
 
A Mathematical Study of the Game "Twenty-Four Points."
Yixun Shi.
Mathematics Teacher, December 1999, 92:9, 828-832.
Grade: Secondary
 
The Jurassic Classroom.
Art Johnson.
Mathematics Teacher, February 2000, 93:2, 102-105, 107-111.
Grade: Upper Middle
 
Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology.
Gina M. Foletta and David B. Leep.
Mathematics Teacher, February 2000, 93:2, 144-147.
Grade: Secondary
 
Algebra in the Service of Geometry: Can Euler’s Line Be Parallel to a Side of a Triangle?
Damon Diemente.
Mathematics Teacher, May 2000, 93:5, 428-431.
Grade: Secondary
 
Visualizing the Proof of the Mean-Value Theorem for Derivatives.
Marsha Hurwitz.
Mathematics Teacher, January 1997, 90:1, 16-18.
Grade: Secondary
 
The Birthday Problem Explained.
John M. Johnson.
Mathematics Teacher, January 1997, 90:1, 20-22.
Grade: Secondary
 
Proof: The Power of Persuasion.
Bill Leonard.
Mathematics Teacher, March 1997, 90:3, 202-204.
Grade: Secondary
 
The Pyramid Question: A Problem-Solving Adventure.
Ruth M. McClintock.
Mathematics Teacher, April 1997, 90:4, 262-268.
Grade: Secondary
 
The Pythagorean Theorem: An Infinite Number of Proofs?
Larry Hoehn.
Mathematics Teacher, September 1997, 90:6, 438-441.
Grade: Secondary
 
Creating a Learning Environment for Geometric Reasoning.
Arnold E. Perham, C.S.V., Bernadette H. Perham, and Faustine L. Perham.
Mathematics Teacher, October 1997, 90:7, 521-526, 542.
Grade: 10
 
Technology and Reasoning in Algebra and Geometry.
Daniel B. Herschhorn and Denisse R. Thompson.
Mathematics Teacher, February 1996, 89:2, 138-142.
Grade: Secondary
 
Folded Paper, Dynamic Geometry, and Proof: A Three-Tier Approach to the Conics.
Mathematics Teacher, Daniel P. Scher. March 1996, 89:3,188-193.
Grade: Secondary
 
Starting a Euclid Club.
Jeremiah Joseph Brodkey.
Mathematics Teacher, May 1996, 89:5, 386-388.
Grade: Secondary
 
Learning and Teaching Indirect Proof.
Denisse R. Thompson.
Mathematics Teacher, September 1996, 89:6, 474-482.
Grade: K-12
 
Match Geometric Figures with Trigonometric Identities.
Guanshen Ren.
Mathematics Teacher, January 1995, 88:1, 24-25.
Grade: Secondary
 
Geometry and Proof.
Michael T. Battista and Douglas H. Clements.
Mathematics Teacher, January 1995, 88:1, 48-54.
Grade: Secondary
 
The Oak Leaf: Connecting Geometry and Biology.
Judy Snyder.
Mathematics Teacher, April 1999, 92:4, 294-298.
Grade: 9
 


Pythagorean theorem -- computers/Internet/software/spreadsheets, calculators/graphing calculators, paper/origami/stencil patterns/graph paper, rulers/straightedge/tape measures/meter sticks/trundle wheels/caliper/spherical straightedge, geoboards, geometric shapes

A Geometric Puzzle That Leads to Fibonacci Sequences.
Mathematics Teacher, January 1998, 91:1, 21-23.
Grade: Secondary
 
Investigating Polygonal Areas: Making Conjectures and Proving Theorems.
Bishnu Naraine and Emam Hoosain.
Mathematics Teacher, February 1998, 91:2, 135-142, 148-149.
Grade: 8-12
 
Using ROOTine Problems for Group Work in Geometry.
Regina M. Panasuk and Yvonne Greenleaf.
Mathematics Teacher, December 1998, 91:9, 794-798.
Grade: Secondary
 
Exploring Hyperbolic Geometry with the Geometer’s Sketchpad.
Marlene C. Dwyer and Richard E. Pfiefer.
Mathematics Teacher, October 1999, 92:7, 632-637.
Grade: Secondary
 
[Naturally] Numbers Are Fun.
Don Crossfield.
Mathematics Teacher, February 1997, 90:2, 92-95.
Grade: Secondary
 
Approaching the Speed of Light with Class.
Rosalie A. Dance and James T. Sandefur.
Mathematics Teacher, April 1997, 90:4, 314-321.
Grade: Secondary
 
The Pythagorean Theorem: An Infinite Number of Proofs?
Larry Hoehn.
Mathematics Teacher, September 1997, 90:6, 438-441.
Grade: Secondary
 
Trap a Surprise in an Isosceles Trapezoid.
Margaret M. Housinger.
Mathematics Teacher, January 1996, 89:1, 12-14.
Grade: Secondary
 
Starting a Euclid Club.
Jeremiah Joseph Brodkey.
Mathematics Teacher, May 1996, 89:5, 386-388.
Grade: Secondary
 
Reflections: A Lesson in Related Rates.
Joe D. Nichols.
Mathematics Teacher, May 1996, 89:5, 390-393.
Grade: Secondary
 
A Calculator Investigation of an Interesting Polynomial.
Margery Binder.
Mathematics Teacher, October 1995, 88:7, 558-560.
Grade: Secondary


Quadrilaterals -- computers/Internet/software/spreadsheets, geometric shapes, geometric solids/polyhedra/nets, pattern blocks, rulers/tape measures/trundle wheels/calipers, miras/mirrors/reflective material

Multiple Representations -- Using Different Perspectives to Form a Clearer Picture.
Cynthia M. Piez and Mary H. Voxman.
Mathematics Teacher, February 1997, 90:2, 164-166.
Grade: Secondary -- undergraduate
 
A Formula for Factoring.
Kay I. Meeks Roebuck.
Mathematics Teacher, March 1997, 90:3, 206-207.
Grade: Secondary
 
A Graphical Approach to the Quadratic Formula.
Timothy V. Craine.
Mathematics Teacher, January 1996, 89:1, 34-38-44-46.
Grade: Secondary
 
Exploring Quadratic Functions: From a to c.
Thomas G. Edwards.
Mathematics Teacher, February 1996, 89:2, 144-146.
Grade: Secondary
 
Journals: Pathways to Thinking in Second-Year Algebra.
Kathleen P. Chapman.
Mathematics Teacher, October 1996, 89:7, 588-590.
Grade: Secondary
 
Pentagrams and Spirals.
Lew Douglas.
Mathematics Teacher, November 1996, 89:8, 680-687.
Grade: 9-11
 
Surprising Results Using Calculators for Derivatives.
Albert Goetz and Jeremy Kahan.
Mathematics Teacher, January 1995, 88:1, 30-33.
Grade: Secondary
 
Connecting Geometry and Algebra: Geometric Interpretations of Distance.
Terry W. Cretes.
Mathematics Teacher, April 1995, 88:4, 292-297.
Grade: Secondary
 
A Geometric Approach to the Discriminent.
R. Daniel Hurwitz.
Mathematics Teacher, April 1995, 88:4, 323-325.
Grade: Secondary
Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology.
Gina M. Foletta and David B. Leep.
Mathematics Teacher, February 2000, 93:2, 144-147.
Grade: Secondary


Ratio/proportion/percent -- cubes/Unifix cubes, pattern blocks, compasses/spherical compass, geoboards, computers/Internet/software/spreadsheets, calculators/graphing calculators, dice/number cubes, candy/food, books/journals/newspapers/portfolios, graduated cylinder, rulers/tape measures/trundle wheels/calipers, paper/origami/stencil patterns/graph paper, knitting needles, maps/projections/globe

A Geometric Puzzle That Leads to Fibonacci Sequences.
Mathematics Teacher, January 1998, 91:1, 21-23.
Grade: Secondary
 
A Popcorn Project for All Students.
Lydotta M. Taylor and Joann L. King.
Mathematics Teacher, March 1997, 90:3, 194-200.
Grade: Secondary
 
Choices and Challenges.
Gail Burrill.
Mathematics Teacher, September 1997, 90:6, 506-511.
Grade: Secondary
 
An Interest in Radioactivity.
Jane B. Kennedy.
Mathematics Teacher, March 1996, 89:3, 209-214, 228-230.
Grade: 7-12
 
Interactive Technology and Classic Geometry Problems.
Jean J. McGehee.
Mathematics Teacher, March 1998, 91:3, 204-208.
Grade: Secondary
Maclaurin’s Theorem for High School Calculus Students.
Ysbrand de Bruyn.
Mathematics Teacher, March 1998, 91:3, 256-260.
Grade: Secondary
 
Dice and Disease in the Classroom.
Marilyn Stor and William L. Briggs.
Mathematics Teacher, September 1998, 91:6, 464-468.
Grade: Secondary
 
Sine, Curves and Spaghetti.
Blake E. Peterson, Patrick Averbeck, and Lynanna Baker. .
Mathematics Teacher, October 1998, 91:7, 564-567.
Grade: Secondary
 
Studying Proportions Using the Capture-Recapture Method.
Gregory D. Bisbu and David M. Conway.
Mathematics Teacher, March 1999, 92:3, 215-218.
Grade: Secondary
 
Statistics and the Academy Awards.
Thomas J. Pandolfini Jr. and Joseph L. Alfano.
Mathematics Teacher, March 1999, 92:3, 219-221.
Grade: Secondary
 
The Oak Leaf: Connecting Geometry and Biology.
Judy Snyder.
Mathematics Teacher, April 1999, 92:4, 294-298.
Grade: 9
 
It’s All in the Area.
J. Todd Lee.
Mathematics Teacher, November 1999, 92:8, 670-672.
Grade: Secondary
 
A Book of Creative Geometry.
Jill A. Kane.
Mathematics Teacher, December 1999, 92:9, 800-801.
Grade: Secondary
 
Geometry’s Giant Leap.
Alan R. Brown.
Mathematics Teacher, December 1999, 92:9, 816-819.
Grade: 9
 
The Jurassic Classroom.
Art Johnson.
Mathematics Teacher, February 2000, 93:2, 102-105, 107-111.
Grade: Upper Middle
 
Making Sense of Slope.
Ann R. Crawford and William E. Scott.
Mathematics Teacher, February 2000, 93:2, 114-118.
Grade: Secondary
 
The Coefficient of Determination: Understanding r2 and R2.
Gloria B. Barrett.
Mathematics Teacher, March 2000, 93:3, 230-234.
Grade: Secondary
 
Teachers and Students Learning Together about Assessing Problem Solving.
Marge Petit and Judith S. Zawojewski.
Mathematics Teacher, September 1997, 90:6, 472-477.
Grade: Secondary
 
Creating a Learning Environment for Geometric Reasoning.
Arnold E. Perham, C.S.V., Bernadette H. Perham, and Faustine L. Perham.
Mathematics Teacher, October 1997, 90:7, 521-526, 542.
Grade: 10
 
The Pentagon Problem: Geometric Reasoning with Technology.
Rose Mary Zbiek.
Mathematics Teacher, February 1996, 89:2, 86-90.
Grade: Secondary
 
Everybody Talks about It! -- Weather Investigations.
Gloria S. Dion and Iris Brann Fetta.
Mathematics Teacher, February 1996, 89:2, 160-165.
Grade: Middle -- College
 
Do Baseball Positions Correspond with a Player’s Race?
David J. Hildreth.
Mathematics Teacher, April 1996, 89:4, 334-338.
Grade: Secondary
 
Where are We?
Charles Waiveris and Timothy V. Craine.
Mathematics Teacher, September 1996, 89:6, 524-534.
Grade: 9-11
 
Pentagrams and Spirals.
Lew Douglas.
Mathematics Teacher, November 1996, 89:8, 680-687.
Grade: 9-11
 
Fibonacci Meets the TI-82.
Gloria S. Dion.
Mathematics Teacher, February 1995, 88:2, 101-105.
Grade: Secondary
 
An Example of Algebra in Lake Roosevelt.
Gail D. Nord and John Nord.
Mathematics Teacher, February 1995, 88:2, 116-120.
Grade: Secondary
 
Using Spreadsheets to Analyze the Historical Perspectives of Apportionment.
Robert Iovinelli.
Mathematics Teacher, February 1998, 91:2, 176-182.
Grade: Secondary


Rational/irrational numbers -- computers/Internet/software/spreadsheets, calculators/graphing calculators, paper/origami/stencil patterns/graph paper

A Unified Framework for Proof and Disproof.
Susanna S. Epp.
Mathematics Teacher, November 1998, 91:8, 708-713.
Grade: Secondary
 
A Discourse on Discourse: Wrestling with Teaching Rational Equations.
Cynthia Marie Smith.
Mathematics Teacher, December 1998, 91:9, 749-753.
Grade: Secondary
 
Getting to the Root of the Problem.
Peter Vanden Bosch.
Mathematics Teacher, March 2000, 93:3, 208-211.
Grade: Secondary
 
[Naturally] Numbers Are Fun.
Don Crossfield.
Mathematics Teacher, February 1997, 90:2, 92-95.
Grade: Secondary
 
Representing Probabilities with Pipe Diagrams.
Clifford Konold.
Mathematics Teacher, May 1996, 89:5, 378-382.
Grade: Secondary -- College
 
Learning and Teaching Indirect Proof.
Denisse R. Thompson.
Mathematics Teacher, September 1996, 89:6, 474-482.
Grade: K-12
 


Reasoning -- pattern blocks, dice/number cubes, video technology/multi-media, spinners, computers/Internet/software/spreadsheets, calculators/graphing calculators, candy/food, geoboards, games/puzzles/toys, base-ten blocks, protractors, paper/origami/stencil patterns/graph paper, rulers/tape measures/trundle wheels/calipers

Assessing Justification and Proof in Geometry Classes Taught Using Dynamic Software.
Enrique Galindo.
Mathematics Teacher, January 1998, 91:1, 76-82.
Grade: Secondary
 
Using Scoring Criteria to Communicate about the Discipline of Mathematics.
Catherine S. Taylor and Barbara Bidlingmaier.
Mathematics Teacher, May 1998, 91:5, 416-425.
Grade: Secondary
 
Up the Creek with a Paddle.
Mikel Haug.
Mathematics Teacher, September 1998, 91:6, 456-460.
Grade: 8-12
 
Newton’s Method for Square Root: A Spreadsheet Investigation and Extension into Chaos.
Sharon Dugdale.
Mathematics Teacher, October 1998, 91:7, 576-585.
Grade: Secondary
 
Types of Students’ Justifications.
Larry Sowder and Guershon Harel.
Mathematics Teacher, November 1998, 91:8, 670-675.
Grade: Secondary
 
Ideas for Developing Students’ Reasoning: A Hungarian Perspective.
Anita Szombathelyi and Tibor Szarvas.
Mathematics Teacher, November 1998, 91:8, 677-681.
Grade: Secondary
 
A Unified Framework for Proof and Disproof.
Susanna S. Epp.
Mathematics Teacher, November 1998, 91:8, 708-713.
Grade: Secondary
 
Making Music with Mathematics.
Maria L. Fernandez.
Mathematics Teacher, February 1999, 92:2, 88-89.
Grade: Secondary
Tacoma Shuffle.
Lyman S. Holden and Loyce K. Holden.
Mathematics Teacher, March 1998, 91:3, 212-216.
Grade: Secondary
 
The Divisibility of xn-yn by x-y: A Constructive Example.
Francis G. French.
Mathematics Teacher, April 1998, 91:4, 342-345.
Grade: Middle -- Secondary
 
Sharing Ideas about Teaching Proving.
David A. Reid.
Mathematics Teacher, November 1998, 91:8, 704-706.
Grade: Secondary
 
Geometry Problems Promoting Reasoning and Understanding.
Alfred B. Manaster and Beth M. Schlesinger.
Mathematics Teacher, February 1999, 92:2, 114-116.
Grade: 8
Changing Assessment Practices in an Algebra Class, or "Will This Be on the Test?"
Tricia Murphy.
Mathematics Teacher, March 1999, 92:3, 247-249.
Grade: Secondary
 
Preparing Students for Modern Work: Lessons from Automobile Manufacturing.
John P. Smith III.
Mathematics Teacher, March 1999, 92:3, 254-258.
Grade: Middle-Secondary
Using the Elegance of Arithmetic to Enhance the Power of Algebra.
Michael McConnell and Dip N. Bhattachanya.
Mathematics Teacher, September 1999, 92:6, 492-495.
Grade: Secondary
 
Creative Writing in Trigonometry.
Julia A Barnes.
Mathematics Teacher, September 1999, 92:6, 498-503.
Grade: Secondary
 
Broken-Line Functions with Unbroken Domains.
Pavel Satianov, Michael Fried, and Miriam Amit.
Mathematics Teacher, October 1999, 92:7, 574-577.
Grade: Secondary
 
Discovering an Optimal Property of the Median.
Neil C. Schwertman.
Mathematics Teacher, November 1999, 92:8, 692-703.
Grade: Secondary
 
Developing Mathematical Reasoning Using Attribute Games.
Anne Larson Quinn, Robert M. Koca Jr., and Frederick Weening.
Mathematics Teacher, December 1999, 92:9, 768-775.
Grade: Secondary
 
Photographs and Committees: Activities That Help Students Discover Permutations and Combinations.
Jennifer Earles Szydlik.
Mathematics Teacher, February 2000, 93:2, 93-99.
Grade: Secondary
 
Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology.
Gina M. Foletta and David B. Leep.
Mathematics Teacher, February 2000, 93:2, 144-147.
Grade: Secondary
 
Discovery Algebra: Graphing Linear Equations.
David A. Thomas and Rex A. Thomas.
Mathematics Teacher, October 1999, 92:7, 565-567.
Grade: Secondary
 
A Geometry Solution from Multiple Perspectives.
Phillip Nissen.
Mathematics Teacher, April 2000, 93:4, 324-327.
Grade: Secondary
 
A Popcorn Project for All Students.
Lydotta M. Taylor and Joann L. King.
Mathematics Teacher, March 1997, 90:3, 194-200.
Grade: Secondary
 
Reasoning with Algebra.
Alex Friedlander and Rina Hershkowitz.
Mathematics Teacher, September 1997, 90:6, 443-447.
Grade: Secondary
 
Teachers and Students Learning Together about Assessing Problem Solving.
Marge Petit and Judith S. Zawojewski.
Mathematics Teacher, September 1997, 90:6, 472-477.
Grade: Secondary
 
Choices and Challenges.
Gail Burrill.
Mathematics Teacher, September 1997, 90:6, 506-511.
Grade: Secondary
 
Creating a Learning Environment for Geometric Reasoning.
Arnold E. Perham, C.S.V., Bernadette H. Perham, and Faustine L. Perham.
Mathematics Teacher, October 1997, 90:7, 521-526, 542.
Grade: 10
 
Problem Solving Does Not Have to Be a Problem.
Cynthia Barb and Anne Larson Quinn.
Mathematics Teacher, October 1997, 90:7, 536-542.
Grade: Secondary
 
Illustrating Mathematical Connections: A Geometric Proof of Euler’s Theorem.
Erin K. Fry and Peter L. Glidden.
Mathematics Teacher, January 1996, 89:1, 62-65.
Grade: Secondary
 
Communicating Performance Criteria to Students through Technology.
Nancy C. Lavigne and Susanne P. Lajoie.
Mathematics Teacher, January 1996, 89:1, 66-69.
Grade: Secondary
 
The Pentagon Problem: Geometric Reasoning with Technology.
Rose Mary Zbiek.
Mathematics Teacher, February 1996, 89:2, 86-90.
Grade: Secondary
 
A Visual Approach to Solving Mixture Problems.
Albert B. Bennett Jr. and Eugene Maier.
Mathematics Teacher, February 1996, 89:2, 108-111.
Grade: 9-12
 
Technology and Reasoning in Algebra and Geometry.
Daniel B. Herschhorn and Denisse R. Thompson.
Mathematics Teacher, February 1996, 89:2, 138-142.
Grade: Secondary
 
Analyzing Data from the Olympic Games for Trends and Inferences.
Richard T. Edgerton.
Mathematics Teacher, May 1996, 89:5, 370-372.
Grade: Secondary
 
Active Participation in the Classroom through Creative Problem Generation.
Nancy A Gonzales, Albert Fernandez, and Corine Knecht.
Mathematics Teacher, May 1996, 89:5, 383-385.
Grade: Secondary
 
Learning and Teaching Indirect Proof.
Denisse R. Thompson.
Mathematics Teacher, September 1996, 89:6, 474-482.
Grade: K-12
 
Assessing Students’ Ability to Analyze Data: Reaching Beyond Computation.
Frances R. Curcio and Alice F. Artzt.
Mathematics Teacher, November 1996, 89:8, 668-673.
Grade: Upper middle -- Secondary
 
A Concrete Approach to Mathematical Induction.
Frances Van Dyke.
Mathematics Teacher, April 1995, 88:4, 302-307, 314-318.
Grade: 10-12
 
Geometry Proof Writing: A Problem-Solving Approach a la Polya.
Jean M. McGivney and Thomas C. DeFranco.
Mathematics Teacher, October 1995, 88:7, 552-555.
Grade: Secondary
 
Guidelines for Teaching Plane Isometrics in Secondary School.
Adela Jaime and Angel Gutierrez.
Mathematics Teacher, October 1995, 88:7, 591-597.
Grade: Secondary
 
A Technology-Intensive Approach to Algebra.
M. Kathleen Heid and Rose Mary Zbiek.
Mathematics Teacher, November 1995, 88:8, 650-656.
Grade: Secondary


Relationships/connections -- pattern blocks, clocks/stopwatches/calenders, cubes/Unifix cubes, money, dice/number cubes, spinners, algebra tiles, calculators/graphing calculators, balance scale/weights/scales, games/puzzles/toys, geometric shapes, base-ten blocks, geoboards, books/journals/newspapers/portfolios, computers/Internet/software/spreadsheets, nomographs, slide rules, arithmetic-mean machine, geometric solids/polyhedra/nets, video technology/multi-media, building blocks/Lego, models/simulation, rulers/tape measures/trundle wheels/calipers, graduated cylinder, springs, candy/food, paper/origami/stencil patterns/graph paper

Assessing Justification and Proof in Geometry Classes Taught Using Dynamic Software.
Enrique Galindo.
Mathematics Teacher, January 1998, 91:1, 76-82.
Grade: Secondary
 
Investigating Polygonal Areas: Making Conjectures and Proving Theorems.
Bishnu Naraine and Emam Hoosain.
Mathematics Teacher, February 1998, 91:2, 135-142, 148-149.
Grade: 8-12
 
Mean Machines.
Alfinio Flores.
Mathematics Teacher, March 1998, 91:3, 266-268.
Grade: 9
 
Discovering a Geometric Volume Relationships in Calculus.
Patrick Morriss.
Mathematics Teacher, April 1998, 91:4, 334-336.
Grade: Secondary
Exploring the Locus Definitions of the Conic Sections.
Eugene A. Olmstead.
Mathematics Teacher, May 1998, 91:5, 428-434.
Grade: Secondary
 
Can Computers Be Used to Teach Proofs?
Judith A. Silver.
Mathematics Teacher, November 1998, 91:8, 660-663.
Grade: Secondary
 
Ideas for Developing Students’ Reasoning: A Hungarian Perspective.
Anita Szombathelyi and Tibor Szarvas.
Mathematics Teacher, November 1998, 91:8, 677-681.
Grade: Secondary
 
The Amazing Octacube.
Michael Naylor.
Mathematics Teacher, February 1999, 92:2, 102-104.
Grade: Secondary
 
Promote Systems of Linear Inequalities with Real-World Problems.
Thomas G. Edwards and Kenneth R. Chelst.
Mathematics Teacher, February 1999, 92:2, 118-123.
Grade: Secondary
 
Understanding Algebraic Notation from the Students’ Perspective.
Margaret Tatem Kinzel.
Mathematics Teacher, May 1999, 92:5, 436-442.
Grade: Secondary
 
Experiencing Radians.
Patrick J. Eggleton.
Mathematics Teacher, September 1999, 92:6, 468-471.
Grade: Secondary
 
Whelk-come to Mathematics.
Brian A. Keller and Heather A. Thompson.
Mathematics Teacher, September 1999, 92:6, 475-481, 485-489.
Grade: 10-12
 
Cooperative Teaching Opportunities for Introductory Statistics Teachers.
Deborah J. Rumsey.
Mathematics Teacher, November 1999, 92:8, 734-737.
Grade: Secondary
 
A Book of Creative Geometry.
Jill A. Kane.
Mathematics Teacher, December 1999, 92:9, 800-801.
Grade: Secondary
 
Understanding the Connections between Equations and Graphs.
Eric J. Knuth.
Mathematics Teacher, January 2000, 93:1, 48-53.
Grade: Secondary
 
Statistics in Context.
Jane M. Watson.
Mathematics Teacher, January 2000, 93:1, 54-58.
Grade: Secondary
 
Photographs and Committees: Activities That Help Students Discover Permutations and Combinations.
Jennifer Earles Szydlik.
Mathematics Teacher, February 2000, 93:2, 93-99.
Grade: Secondary
 
The Jurassic Classroom.
Art Johnson.
Mathematics Teacher, February 2000, 93:2, 102-105, 107-111.
Grade: Upper Middle
 
The Coefficient of Determination: Understanding r2 and R2.
Gloria B. Barrett.
Mathematics Teacher, March 2000, 93:3, 230-234.
Grade: Secondary
 
Using Hooke’s Law to Explore Linear Functions.
Chris McGlone and Gary M Nieberle.
Mathematics Teacher, May 2000, 93:5, 391-398.
Grade: Secondary
 
[Naturally] Numbers Are Fun.
Don Crossfield.
Mathematics Teacher, February 1997, 90:2, 92-95.
Grade: Secondary
 
Building the Concept of Function from Students’ Everyday Activities.
Susana Davidenko.
Mathematics Teacher, February 1997, 90:2, 144-149.
Grade: Secondary
 
A Popcorn Project for All Students.
Lydotta M. Taylor and Joann L. King.
Mathematics Teacher, March 1997, 90:3, 194-200.
Grade: Secondary
 
A Formula for Factoring.
Kay I. Meeks Roebuck.
Mathematics Teacher, March 1997, 90:3, 206-207.
Grade: Secondary
 
Reciprocal Mappings: The Neglected Transformations.
James R. Metz and Joseph T. Zilliox.
Mathematics Teacher, April 1997, 90:4, 328-327.
Grade: Secondary
 
Creating a Learning Environment for Geometric Reasoning.
Arnold E. Perham, C.S.V., Bernadette H. Perham, and Faustine L. Perham.
Mathematics Teacher, October 1997, 90:7, 521-526, 542.
Grade: 10
 
Trap a Surprise in an Isosceles Trapezoid.
Margaret M. Housinger.
Mathematics Teacher, January 1996, 89:1, 12-14.
Grade: Secondary
 
Communicating Performance Criteria to Students through Technology.
Nancy C. Lavigne and Susanne P. Lajoie.
Mathematics Teacher, January 1996, 89:1, 66-69.
Grade: Secondary
 
Everybody Talks about It! -- Weather Investigations.
Gloria S. Dion and Iris Brann Fetta.
Mathematics Teacher, February 1996, 89:2, 160-165.
Grade: Middle -- College
 
Analyzing Data from the Olympic Games for Trends and Inferences.
Richard T. Edgerton.
Mathematics Teacher, May 1996, 89:5, 370-372.
Grade: Secondary
 
Reflections: A Lesson in Related Rates.
Joe D. Nichols.
Mathematics Teacher, May 1996, 89:5, 390-393.
Grade: Secondary
 
A Mean Solution to an Old Circle Standard.
Andrew J. Samide and Amanda M. Warfield.
Mathematics Teacher, May 1996, 89:5, 411-413.
Grade: Secondary
 
Becoming Flexible with Functions: Investigating United States Population Growth.
Barry E. Shealy.
Mathematics Teacher, May 1996, 89:5, 414-418.
Grade: Secondary
 
Data Driven Mathematics: A Curriculum Strand for High School Mathematics.
Gail Burril.
Mathematics Teacher, September 1996, 89:6, 460-465, 540.
Grade: 8-12
 
Multiple Connections.
Rose Mary Zbiek.
Mathematics Teacher, November 1996, 89:8, 628-634.
Grade: 9
 
Name That Graph.
James Greenwood.
Mathematics Teacher, January 1995, 88:1, 8-11.
Grade: Secondary
 
Building Mathematical Models of Simple Harmonic and Damped Motion.
Thomas Edwards.
Mathematics Teacher, January 1995, 88:1, 18-22.
Grade: 11-12
 
Match Geometric Figures with Trigonometric Identities.
Guanshen Ren.
Mathematics Teacher, January 1995, 88:1, 24-25.
Grade: Secondary
 
Graphing Art.
Fan Disher.
Mathematics Teacher, February 1995, 88:2, 124-128, 134-135.
Grade: 9-12
 
Gas Bill Mathematics.
Eric Wood.
Mathematics Teacher, March 1995, 88:3, 214-218, 224-227.
Grade: 8-11
 
Connecting Geometry and Algebra: Geometric Interpretations of Distance.
Terry W. Cretes.
Mathematics Teacher, April 1995, 88:4, 292-297.
Grade: Secondary
 
A Calculator Investigation of an Interesting Polynomial.
Margery Binder.
Mathematics Teacher, October 1995, 88:7, 558-560.
Grade: Secondary
Exploring Three- and Four-Dimensional Space.
Charlotte Williams Mack.
Mathematics Teacher, October 1995, 88:7, 572-578, 588-590.
Grade: 9-12
 
Guidelines for Teaching Plane Isometrics in Secondary School.
Adela Jaime and Angel Gutierrez.
Mathematics Teacher, October 1995, 88:7, 591-597.
Grade: Secondary
 
A Technology-Intensive Approach to Algebra.
M. Kathleen Heid and Rose Mary Zbiek.
Mathematics Teacher, November 1995, 88:8, 650-656.
Grade: Secondary
 
Revitalizing First-Year Algebra through Problem Solving with HALP.
Barbara J. Dougherty and Annette N. Matsumoto.
Mathematics Teacher, November 1995, 88:8, 708-714.
Grade: Secondary
 


Sequences/series -- computers/Internet/software/spreadsheets, calculators/graphing calculators, fractal cards, nomographs, slide rules, arithmetic-mean machine, money, dice/number cubes

Fractal Cards: A Space for Exploration in Geometry and Discrete Mathematics.
Elaine Simmt and Brent Davis.
Mathematics Teacher, February 1998, 91:2, 102-108.
Grade: Middle -- Secondary
 
Iterating Linear Functions -- an Introduction to Dynamical Systems.
Jonathan Choate and Henri Picciotto.
Mathematics Teacher, February 1997, 90:2, 122-126, 132-136.
Grade: 9-12
 
Algebraic Thinking: A Theme for Professional Development.
Faye Ruopp, Al Cuoco, Sue M. Rasala, and M. Grace Kelemanik.
Mathematics Teacher, February 1997, 90:2, 150-154.
Grade: Kindergarten -- 12
 
Exploring Quadratic Functions: From a to c.
Thomas G. Edwards.
Mathematics Teacher, February 1996, 89:2, 144-146.
Grade: Secondary
 
Maclaurin’s Theorem for High School Calculus Students.
Ysbrand de Bruyn.
Mathematics Teacher, March 1998, 91:3, 256-260.
Grade: Secondary
 
Mean Machines.
Alfinio Flores.
Mathematics Teacher, March 1998, 91:3, 266-268.
Grade: 9
 
Fun Fractions? You’ve Got to Be Kidding!
Richard Kreminski.
Mathematics Teacher, October 1998, 91:7, 572-575.
Grade: Secondary
 
Random Variables: Simulations and Surprising Connections.
Robert J. Quinn and Stephen Tomlinson.
Mathematics Teacher, January 1999, 92:1, 4-9.
Grade: 11-12
 
A Problem-Based Approach to Mathematics Instruction.
Dianne K. Erickson.
Mathematics Teacher, September 1999, 92:6, 516-521.
Grade: Secondary
 
Reunion of Broken Parts: Experiencing Diversity in Algebra.
Lawrence M. Lesser.
Mathematics Teacher, January 2000, 93:1, 62-66.
Grade: Secondary


Similarity/congruence -- computers/Internet/software/spreadsheets, geoboards, pattern blocks, miras/mirrors/reflective material, fractal cards, calculators/graphing calculators, graduated cylinder, rulers/tape measures/trundle wheels/calipers, candy/food, maps/projections/globe, books/journals/newspapers/portfolios, clocks/stopwatches/calenders, paper/origami/stencil patterns/graph paper

Using Spreadsheets to Analyze the Historical Perspectives of Apportionment.
Robert Iovinelli.
Mathematics Teacher, February 1998, 91:2, 176-182.
Grade: Secondary
 
Stitching Quilts into Coordinate Geometry.
Susanne K. Westegaard.
Mathematics Teacher, October 1998, 91:7, 587-592, 598-600.
Grade: 7-12
 
Sharing Ideas about Teaching Proving.
David A. Reid.
Mathematics Teacher, November 1998, 91:8, 704-706.
Grade: Secondary
 
Fractals in High School: Exploring a New Geometry.
Randi Lornell and Judy Westerberg.
Mathematics Teacher, March 1999, 92:3, 260-269.
Grade: Secondary
 
Exploring Fractals in the Classroom.
Michael Naylor.
Mathematics Teacher, April 1999, 92:4, 360-366.
Grade: Secondary
 
Build a Sierpinski Pyramid.
Paul Kelley.
Mathematics Teacher, May 1999, 92:5, 384-386.
Grade: Secondary
 
Exploring Hyperbolic Geometry with the Geometer’s Sketchpad.
Marlene C. Dwyer and Richard E. Pfiefer.
Mathematics Teacher, October 1999, 92:7, 632-637.
Grade: Secondary
 
Grasping Graphing.
Anne C. Patterson.
Mathematics Teacher, December 1999, 92:9, 758-762.
Grade: Secondary
 
The Jurassic Classroom.
Art Johnson.
Mathematics Teacher, February 2000, 93:2, 102-105, 107-111.
Grade: Upper Middle
 
Using Financial Headlines and the Internet to Keep Statistics Classes Fresh.
Marilyn B. Durkin.
Mathematics Teacher, April 2000, 93:4, 318-323.
Grade: Secondary
 
A Popcorn Project for All Students.
Lydotta M. Taylor and Joann L. King.
Mathematics Teacher, March 1997, 90:3, 194-200.
Grade: Secondary
 
Teachers and Students Learning Together about Assessing Problem Solving.
Marge Petit and Judith S. Zawojewski.
Mathematics Teacher, September 1997, 90:6, 472-477.
Grade: Secondary
 
Integrating Mathematical Strands.
Andrew V. Janovsky.
Mathematics Teacher, October 1997, 90:7, 516-519.
Grade: 9
 
Experiments from Psychology and Neurology.
William S. Hadley.
Mathematics Teacher, October 1996, 89:7, 562-569.
Grade: Secondary
 
Geometry and Proof.
Michael T. Battista and Douglas H. Clements.
Mathematics Teacher, January 1995, 88:1, 48-54.
Grade: Secondary


Spatial visualization -- pattern blocks, geoboards, geometric solids/polyhedra/nets, cubes/Unifix cubes, computers/Internet/software/spreadsheets, models/simulation, maps/projections/globe, building blocks, miras/mirrors/reflective material, paper/origami/stencil patterns/graph paper

A Geometric Puzzle That Leads to Fibonacci Sequences.
Mathematics Teacher, January 1998, 91:1, 21-23.
Grade: Secondary
 
Preparing Students for Modern Work: Lessons from Automobile Manufacturing.
John P. Smith III.
Mathematics Teacher, March 1999, 92:3, 254-258.
Grade: Middle-Secondary
 
Why Not Three Dimensions?
Steve Lege.
Mathematics Teacher, October 1999, 92:7, 560-563.
Grade: Secondary
 
Making Connections: Spatial Skills and Engineering Drawings.
Beverly Gimmestad Baartmans and Sheryl A. Sorby.
Mathematics Teacher, April 1996, 89:4, 348-354.
Grade: Secondary


Spreadsheets -- computers/Internet/software/spreadsheets, calculators/graphing calculators, books/journals/newspapers/portfolios, paper/origami/stencil patterns, geoboards, protractors, rulers/straightedge/tape measure/meter sticks/trundle wheelss/spherical straightedge

Focusing on Worthwhile Mathematical Tasks in Professional Development: Using a Task from the National Assessment of Educational Progress.
Mathematics Teacher, February 1998, 91:2, 156-161.
Grade: Secondary
 
Using Spreadsheets to Analyze the Historical Perspectives of Apportionment.
Robert Iovinelli.
Mathematics Teacher, February 1998, 91:2, 176-182.
Grade: Secondary
 
Paving the Way to Algebraic Thought Using Residue Designs.
Iris DeLoach Johnson.
Mathematics Teacher, April 1998, 91:4, 326-332.
Grade: 8
 
Performing Operations with Matrices on Spreadsheets.
Dusan Pagon.
Mathematics Teacher, April 1998, 91:4, 338-341.
Grade: Secondary
 
An EXCELlent Bridge to Algebra.
Alex Friedlander.
Mathematics Teacher, May 1998, 91:5, 383-383.
Grade: 7
 
Up the Creek with a Paddle.
Mikel Haug.
Mathematics Teacher, September 1998, 91:6, 456-460.
Grade: 8-12
 
Newton’s Method for Square Root: A Spreadsheet Investigation and Extension into Chaos.
Sharon Dugdale.
Mathematics Teacher, October 1998, 91:7, 576-585.
Grade: Secondary
 
Now Here Is That Authority on Mathematics Reform, Dr. Constructivist!
Michael G. Mikusa and Hester Lewellen.
Mathematics Teacher, February 1999, 92:2, 158-163.
Grade: Secondary
 
Exploring the Birthday Problem with Spreadsheets.
Lawrence M. Lesser.
Mathematics Teacher, May 1999, 92:5, 407-411.
Grade: Secondary
 
Understanding Algebraic Notation from the Students’ Perspective.
Margaret Tatem Kinzel.
Mathematics Teacher, May 1999, 92:5, 436-442.
Grade: Secondary
 
Discovering Optimum Networks in Triangles.
Robert Iovinelli.
Mathematics Teacher, September 1999, 92:6, 531-539.
Grade: Secondary
 
Smokey the Bear Takes Algebra.
Albert Goetz.
Mathematics Teacher, October 1999, 92:7, 596-604.
Grade: 7-12
 
Building the Concept of Function from Students’ Everyday Activities.
Susana Davidenko.
Mathematics Teacher, February 1997, 90:2, 144-149.
Grade: Secondary
 
Creating a Learning Environment for Geometric Reasoning.
Arnold E. Perham, C.S.V., Bernadette H. Perham, and Faustine L. Perham.
Mathematics Teacher, October 1997, 90:7, 521-526, 542.
Grade: 10


Statistics/data management -- animal/people, balance scale/weight/scales, base-ten materials, books/journals/newspapers/portfolios/learning logs, computers/Internet/software, money/coins, geoboards, graduated cylinder, clocks/stopwatches/calenders, pattern blocks, patty papers, springs, rulers/straightedge/tape measures/meter sticks/trundle wheels/calipers/spherical straightedge, computers/Internet/software/spreadsheets, building blocks/Lego, protractors, games/board games/puzzles/toys/playing cards, telephone, paper/origami/stencil patterns/graph paper, number cubes/dice, geometric shapes, candy/food, maps/projections/globe

Do Baseball Positions Correspond with a Player’s Race?
David J. Hildreth.
Mathematics Teacher, April 1996, 89:4, 334-338.
Grade: Secondary
Multiple Representations and Connections Using Technology.
Charles Vonder Embse and Vernon W. Yoder.
Mathematics Teacher, January 1998, 91:1, 62-67.
Grade: Secondary
 
Counting Penguins.
Mike Perry and Garry Koder.
Mathematics Teacher, February 1998, 91:2, 110-116.
Grade: 9-12
 
Keep Counting Those Boxes -- There’s More.
Richard M. Grassl and Tabitha T.Y. Mingus.
Mathematics Teacher, February 1998, 91:2, 122-127.
Grade: 9-12
 
Introducing the Variable through Pattern Exploration.
Lyn D. English and Elizabeth A. Warren.
Mathematics Teacher, February 1998, 91:2, 166-170.
Grade: 6-9
 
Using Spreadsheets to Analyze the Historical Perspectives of Apportionment.
Robert Iovinelli.
Mathematics Teacher, February 1998, 91:2, 176-182.
Grade: Secondary
 
Geoboard Quadrilaterals.
Joe Kennedy and Eric McDowell.
Mathematics Teacher, April 1998, 91:4, 288-290.
Grade: Secondary
 
Sediment in Lake Coeur d’Alene, Idaho.
Gail Nord and John Nord.
Mathematics Teacher, April 1998, 91:4, 292-296.
Grade: Secondary
 
Derivatives Project.
Ingrid Novadvorksy.
Mathematics Teacher, April 1998, 91:4, 298-299.
Grade: Secondary
 
The Conic Sections in Taxicab Geometry: Some Investigations for High School Students.
Fernand J. Prevost.
Mathematics Teacher, April 1998, 91:4, 304-310, 316-317, 341.
Grade: Secondary
 
Exploring the Locus Definitions of the Conic Sections.
Eugene A. Olmstead.
Mathematics Teacher, May 1998, 91:5, 428-434.
Grade: Secondary
 
Up the Creek with a Paddle.
Mikel Haug.
Mathematics Teacher, September 1998, 91:6, 456-460.
Grade: 8-12
 
Dice and Disease in the Classroom.
Marilyn Stor and William L. Briggs.
Mathematics Teacher, September 1998, 91:6, 464-468.
Grade: Secondary
 
Locus of Triangle Vertices.
Joe Dan Austin.
Mathematics Teacher, September 1998, 91:6, 474-476.
Grade: Secondary
 
Visualizing Cost, Revenue, and Profit.
Frances Van Dyke.
Mathematics Teacher, September 1998, 91:6, 488-493, 500-503.
Grade: Secondary
 
Problem Solving with the Rule of Three.
Daniel J. Reinford.
Mathematics Teacher, October 1998, 91:7, 558-563.
Grade: Secondary
 
Sine, Curves and Spaghetti.
Blake E. Peterson, Patrick Averbeck, and Lynanna Baker. .
Mathematics Teacher, October 1998, 91:7, 564-567.
Grade: Secondary
 
Newton’s Method for Square Root: A Spreadsheet Investigation and Extension into Chaos.
Sharon Dugdale.
Mathematics Teacher, October 1998, 91:7, 576-585.
Grade: Secondary
 
Proof by Contradiction and the Electoral College.
Charles Redmond, Michael P. Federici, and Donald M. Platte.
Mathematics Teacher, November 1998, 91:8, 655-658.
Grade: Secondary
 
Can Computers Be Used to Teach Proofs?
Judith A. Silver.
Mathematics Teacher, November 1998, 91:8, 660-663.
Grade: Secondary
 
Forest Fires, Oil Spills, and Fractal Geometry: An Investigation in Two Parts. (Part 1: Cellular Automata and Modeling Natural Phenomena).
L. Charles Biehl.
Mathematics Teacher, November 1998, 91:8, 682-690, 696-698.
Grade: 9-12
 
Making Music with Mathematics.
Maria L. Fernandez.
Mathematics Teacher, February 1999, 92:2, 88-89.
Grade: Secondary
 
Random Variables: Simulations and Surprising Connections.
Robert J. Quinn and Stephen Tomlinson.
Mathematics Teacher, January 1999, 92:1, 4-9.
Grade: 11-12
 
Geometry Problems Promoting Reasoning and Understanding.
Alfred B. Manaster and Beth M. Schlesinger.
Mathematics Teacher, February 1999, 92:2, 114-116.<