Concepts to Mathematical Tools to References Secondary

Geometry -- calculators/graphing calculators, cubes/Unifix cubes, compasses, geoboards, geometric shapes, games/puzzles/toys, geometric solids/polyhedra/nets, miras/mirrors/reflective material, protractors, paper/origami/stencil patterns/graph paper, models/simulation, video technology/multi-media, balloons, rollers, maps/projections/globes, knitting needles, math tables/number lines/100s charts/10x10 grid/circle chart, dice/number cubes, pattern blocks, books/journals/newspapers/portfolios, candy/food, computers/Internet/software/spreadsheets, building blocks/Lego, rulers/tape measures/trundle wheels/calipers

Perfect and Not-So-Perfect Rollers.
James Casey.
Mathematics Teacher, January 1998, 91:1, 12-20.
Grade: Secondary
 
A Geometric Puzzle That Leads to Fibonacci Sequences.
Mathematics Teacher, January 1998, 91:1, 21-23.
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
 
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
 
Interactive Technology and Classic Geometry Problems.
Jean J. McGehee.
Mathematics Teacher, March 1998, 91:3, 204-208.
Grade: Secondary
 
Geoboard Quadrilaterals.
Joe Kennedy and Eric McDowell.
Mathematics Teacher, April 1998, 91:4, 288-290.
Grade: Secondary
 
Discovering a Geometric Volume Relationships in Calculus.
Patrick Morriss.
Mathematics Teacher, April 1998, 91:4, 334-336.
Grade: Secondary
 
The Cevian Problem.
Duane W. DeTemple and Marjorie Ann Fitting.
Mathematics Teacher, May 1998, 91:5, 388-392.
Grade: Secondary
 
Geometric Construction: Visualizing and Understanding Geometry.
Cathleen V. Sanders.
Mathematics Teacher, October 1998, 91:7, 554-556.
Grade: Secondary
 
Sine, Curves and Spaghetti.
Blake E. Peterson, Patrick Averbeck, and Lynanna Baker. .
Mathematics Teacher, October 1998, 91:7, 564-567.
Grade: Secondary
 
Stitching Quilts into Coordinate Geometry.
Susanne K. Westegaard.
Mathematics Teacher, October 1998, 91:7, 587-592, 598-600.
Grade: 7-12
 
Geometry Classroom Pictures: What’s Developing?
Kay A. Wohlhuter.
Mathematics Teacher, October 1998, 91:7, 606-609.
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
 
Types of Students’ Justifications.
Larry Sowder and Guershon Harel.
Mathematics Teacher, November 1998, 91:8, 670-675.
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
 
Nonperiodic Tilings: The Irrational Numbers of the Tiling World.
Michael Naylor.
Mathematics Teacher, January 1999, 92:1, 34-40, 46-48.
Grade: Secondary
 
The Euler Line and Nine-Point-Circle Theorems.
Frank M. Eccles.
Mathematics Teacher, January 1999, 92:1, 50-54.
Grade: Secondary
 
In Search of Perfect Triangles.
Martin Vern Bonsangue.
Mathematics Teacher, January 1999, 92:1, 56-61.
Grade: Secondary
 
The Amazing Octacube.
Michael Naylor.
Mathematics Teacher, February 1999, 92:2, 102-104.
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
 
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
 
Preparing Students for Modern Work: Lessons from Automobile Manufacturing.
John P. Smith III.
Mathematics Teacher, March 1999, 92:3, 254-258.
Grade: Middle-Secondary
 
The Vortex Tessellation.
John P. Drost.
Mathematics Teacher, April 1999, 92:4, 286-290.
Grade: Secondary
 
The Oak Leaf: Connecting Geometry and Biology.
Judy Snyder.
Mathematics Teacher, April 1999, 92:4, 294-298.
Grade: 9
 
Foam Images.
Theresa Reardon Offerman.
Mathematics Teacher, May 1999, 92:5, 391-399.
Grade: Secondary
 
The Rules of the Game.
Don Gernes.
Mathematics Teacher, May 1999, 92:5, 424-429.
Grade: Secondary
 
Course Diary: A Valuable Information Source.
Phillip W. Gronseth.
Mathematics Teacher, September 1999, 92:6, 496-497.
Grade: Secondary
 
Ten Lessons from the Proof of Fermat’s Last Theorem.
Jeremy Kahan.
Mathematics Teacher, September 1999, 92:6, 530-531.
Grade: Secondary
 
Discovering Optimum Networks in Triangles.
Robert Iovinelli.
Mathematics Teacher, September 1999, 92:6, 531-539.
Grade: Secondary
 
Why Not Three Dimensions?
Steve Lege.
Mathematics Teacher, October 1999, 92:7, 560-563.
Grade: Secondary
 
Counting Triples, Triangles, and Acute Triangles.
Ruth McClintock.
Mathematics Teacher, October 1999, 92:7, 612-619.
Grade: 9-12
 
Discovering an Optimal Property of the Median.
Neil C. Schwertman.
Mathematics Teacher, November 1999, 92:8, 692-703.
Grade: Secondary
 
Astronomical Math.
Robert Ryden.
Mathematics Teacher, December 1999, 92:9, 786-792.
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
 
Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology.
Gina M. Foletta and David B. Leep.
Mathematics Teacher, February 2000, 93:2, 144-147.
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
 
Using the Geometer’s Sketchpad to Visualize Maximum-Volume Problems.
David C. Purdy.
Mathematics Teacher, March 2000, 93:3, 224-228.
Grade: Secondary
 
Finger Math in Geometry.
Don R. Warkentin.
Mathematics Teacher, April 2000, 93:4, 266-268.
Grade: Secondary
 
A Geometry Solution from Multiple Perspectives.
Phillip Nissen.
Mathematics Teacher, April 2000, 93:4, 324-327.
Grade: Secondary
 
Group Symmetries Connect Art & History with Mathematics.
Anthula Natsoulas.
Mathematics Teacher, May 2000, 93:5, 364-370.
Grade: Secondary
 
The Spaghetti Problem Problem.
Dennis Ippolito.
Mathematics Teacher, May 2000, 93:5, 422-426.
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
 
Using the Assessment of Students’ Learning to Reshape Teaching.
Sandra K. Wilcox and Ronald S. Zielinski.
Mathematics Teacher, March 1997, 90:3, 223-229.
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
 
Pascal’s Triangle -- Patterns, Paths, and Plinko.
Patricia Lemon.
Mathematics Teacher, April 1997, 90:4, 270-273.
Grade: Secondary
 
More Functions of a Toy Balloon.
Loring Coes III.
Mathematics Teacher, April 1997, 90:4, 290-294, 300-302.
Grade: Secondary
 
The Pythagorean Theorem: An Infinite Number of Proofs?
Larry Hoehn.
Mathematics Teacher, September 1997, 90:6, 438-441.
Grade: Secondary
 
Integrating Mathematical Strands.
Andrew V. Janovsky.
Mathematics Teacher, October 1997, 90:7, 516-519.
Grade: 9
 
The Square-Patio Problem.
Martha H. Lowther.
Mathematics Teacher, January 1996, 89:1, 4-6.
Grade: Middle -- Secondary
 
Trap a Surprise in an Isosceles Trapezoid.
Margaret M. Housinger.
Mathematics Teacher, January 1996, 89:1, 12-14.
Grade: 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
 
The Pentagon Problem: Geometric Reasoning with Technology.
Rose Mary Zbiek.
Mathematics Teacher, February 1996, 89:2, 86-90.
Grade: Secondary
 
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.
Daniel P. Scher.
Mathematics Teacher, March 1996, 89:3,188-193.
Grade: Secondary
 
Perimeters, Patterns, and Pi.
Sue Barnes.
Mathematics Teacher, April 1996, 89:4, 284-288.
Grade: 9-10
 
Group Theory: It’s a SNAP.
Linda Huetinck.
Mathematics Teacher, April 1996, 89:4, 342-346.
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
 
Starting a Euclid Club.
Jeremiah Joseph Brodkey.
Mathematics Teacher, May 1996, 89:5, 386-388.
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
 
Data Driven Mathematics: A Curriculum Strand for High School Mathematics.
Gail Burril.
Mathematics Teacher, September 1996, 89:6, 460-465, 540.
Grade: 8-12
 
Learning and Teaching Indirect Proof.
Denisse R. Thompson.
Mathematics Teacher, September 1996, 89:6, 474-482.
Grade: K-12
 
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
 
Geometry, Iteration, and Finance.
A. Landy Godbold Jr.
Mathematics Teacher, November 1996, 89:8, 646-651.
Grade: Secondary
 
Pentagrams and Spirals.
Lew Douglas.
Mathematics Teacher, November 1996, 89:8, 680-687.
Grade: 9-11
 
A Computer for All Students -- Revisited.
Bert K. Waits and Franklin Demana.
Mathematics Teacher, December 1996, 89:9, 712-714.
Grade: 9-12
 
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
 
Connecting Geometry and Algebra: Geometric Interpretations of Distance.
Terry W. Cretes.
Mathematics Teacher, April 1995, 88:4, 292-297.
Grade: 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
 
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
 
College Preparatory Mathematics: Change from Within.
Judith M. Kysh.
Mathematics Teacher, November 1995, 88:8, 660-666.
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
 
Locus of Triangle Vertices.
Joe Dan Austin.
Mathematics Teacher, September 1998, 91:6, 474-476.
Grade: Secondary
 
(A + B + C)3.
Richard S. Forringer.
Mathematics Teacher, January 2000, 93:1, 6-8.
Grade: Secondary
 
The Oak Leaf: Connecting Geometry and Biology.
Judy Snyder.
Mathematics Teacher, April 1999, 92:4, 294-298.
Grade: 9
 
Perimeters, Patterns, and Pi.
Sue Barnes.
Mathematics Teacher, April 1996, 89:4, 284-288.
Grade: 9-10


Hamiltonian circuit -- maps/projections/globe

Integrating Mathematical Strands.
Andrew V. Janovsky.
Mathematics Teacher, October 1997, 90:7, 516-519.
Grade: 9


Horsepower -- clocks/stopwatches/calenders, balance scale/weights/scales, calculators/graphing calculators, rulers/tape measures/trundle wheels/calipers

Calculating Human Horsepower.
Pam Cox and Linda Bridges.
Mathematics Teacher, March 1999, 92:3, 225-228.
Grade: Secondary


Hyperbolic geometry/functions -- computers/Internet/software/spreadsheets

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
 


Integers -- computers/Internet/software/spreadsheets, calculators/graphing calculators, base-ten blocks, games/puzzles/toys, video technology/multi-media, algebra tiles, candy/food

Paving the Way to Algebraic Thought Using Residue Designs.
Iris DeLoach Johnson.
Mathematics Teacher, April 1998, 91:4, 326-332.
Grade: 8
 
Fun Fractions? You’ve Got to Be Kidding!
Richard Kreminski. .
Mathematics Teacher, October 1998, 91:7, 572-575.
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
 
A Unified Framework for Proof and Disproof.
Susanna S. Epp.
Mathematics Teacher, November 1998, 91:8, 708-713.
Grade: Secondary
 
The Postage-Stamp Problem, Number Theory, and the Programmable Calculator.
Harris S. Schultz.
Mathematics Teacher, January 1999, 92:1, 20-22.
Grade: Secondary
 
A Mathematical Study of the Game "Twenty-Four Points."
Yixun Shi.
Mathematics Teacher, December 1999, 92:9, 828-832.
Grade: Secondary
 
The Case of Trapezoidal Numbers.
Carol Feinberg-McBrian.
Mathematics Teacher, January 1996, 89:1, 16-24.
Grade: Secondary
 
Using Clock Arithmetic to Send Secret Messages.
Catherine A. Gorini.
Mathematics Teacher, February 1996, 89:2, 100-104.
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
 
A Concrete Approach to Mathematical Induction.
Frances Van Dyke.
Mathematics Teacher, April 1995, 88:4, 302-307, 314-318.
Grade: 10-12
 
"What If…?" A Case in Point.
James O. Friel and Gerald E. Gannon.
Mathematics Teacher, April 1995, 88:4, 320-322.
Grade: Secondary


Iteration/recursion -- calculators/graphing calculators, computers/Internet/software/spreadsheets, building blocks/Lego, pattern blocks, books/journals/newspapers/portfolios

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
 
Using Rubrics in High School Mathematics Courses.
Denisse R. Thompson and Sharon L. Senk.
Mathematics Teacher, December 1998, 91:9, 786-793.
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
 
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
 
Chaotic Behavior in the Classroom.
Robert C. Iovinelli.
Mathematics Teacher, February 2000, 93:2, 148-153.
Grade: Secondary
 
Generating Fractals through Self-Replication.
David Reinstein, Paul Sally, and Dane R. Camp.
Mathematics Teacher, January 1997, 90:1, 43-45, 34-38.
Grade: 9-12
 
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
 
Recent Improvements to the Sieve of Eratosthenes.
Antonio R. Quesada.
Mathematics Teacher, April 1997, 90:4, 304-307.
Grade: Secondary
 
Stimulating Mathematical Interest with Dynamical Systems.
Marilyn B. Durkin.
Mathematics Teacher, March 1996, 89:3, 242-247.
Grade: Secondary
 
Geometry, Iteration, and Finance.
A. Landy Godbold Jr.
Mathematics Teacher, November 1996, 89:8, 646-651.
Grade: Secondary
 
Exploring the Birthday Problem with Spreadsheets.
Lawrence M. Lesser.
Mathematics Teacher, May 1999, 92:5, 407-411.
Grade: Secondary


Latitude/longitude -- rulers/tape measures/trundle wheels/calipers, clinometer/transit, knitting needles, maps/projections/globe, candy/food, calculators/graphing calculators, compasses, protractors

Where are We?
Charles Waiveris and Timothy V. Craine.
Mathematics Teacher, September 1996, 89:6, 524-534.
Grade: 9-11
 
The Navigator in the Classroom.
William Wallace.
Mathematics Teacher, May 1998, 91:5, 384-387.
Grade: Secondary


Linear algebra/matrices/determinants/vectors -- calculators/graphing calculators, spinners, computers/Internet/software/spreadsheets, games/puzzles/toys, dice/number cubes

Performing Operations with Matrices on Spreadsheets.
Dusan Pagon.
Mathematics Teacher, April 1998, 91:4, 338-341.
Grade: Secondary
 
Probability, Matrices, and Bugs in Trees.
Paula Grafton Young.
Mathematics Teacher, May 1998, 91:5, 402-406, 412-415.
Grade: Secondary
 
A Geometry Solution from Multiple Perspectives.
Phillip Nissen.
Mathematics Teacher, April 2000, 93:4, 324-327.
Grade: Secondary
 
Analyzing Unstable Systems of Linear Equations.
Harris S. Shultz.
Mathematics Teacher, May 2000, 93:5, 388-390.
Grade: Secondary
 
Exploring Quadratic Functions: From a to c.
Thomas G. Edwards.
Mathematics Teacher, February 1996, 89:2, 144-146.
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
 
Multiple Representations for Pattern Exploration with the Graphing Calculator and Manipulatives.
Douglas A. Lapp.
Mathematics Teacher, February 1999, 92:2, 109-113.
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
 
Who’s Winning at MONOPOLY JUNIOR?
Donald E. Hooley.
Mathematics Teacher, March 1999, 92:3, 197-203.
Grade: Secondary
 
Exploring Hill Ciphers with Graphing Calculators.
Dennis St. John.
Mathematics Teacher, March 1998, 91:3, 240-244.
Grade: Secondary
 
Performing Operations with Matrices on Spreadsheets.
Dusan Pagon.
Mathematics Teacher, April 1998, 91:4, 338-341.
Grade: Secondary
 
Analyzing Unstable Systems of Linear Equations.
Harris S. Shultz.
Mathematics Teacher, May 2000, 93:5, 388-390.
Grade: Secondary
 
The Square-Patio Problem.
Martha H. Lowther.
Mathematics Teacher, January 1996, 89:1, 4-6.
Grade: Middle -- Secondary


Logistic growth model -- calculators/graphing calculators, models/simulation

Activities for the Logistic Growth Model; or, Invasion of the Killer Moths.
Robert (Bob) Iovinelli.
Mathematics Teacher, October 1997, 90:7, 588-597.
Grade: Secondary
 


Markov process model -- computers/Internet/software/spreadsheets, games/puzzles/toys, spinners, dice/number cubes

Who’s Winning at MONOPOLY JUNIOR?
Donald E. Hooley.
Mathematics Teacher, March 1999, 92:3, 197-203.
Grade: Secondary


Measurement/scale -- rollers, protractors, clinometer/transit, compasses, maps/projections, clocks/stopwatches/calenders, computers/Internet/software/spreadsheets, springs, balance scale/weights/scales, geometric solids/polyhedra/nets, calculators/graphing calculators, knitting needles, models/simulation, candy/food, rulers/tape measures/trundle wheels/calipers, graduated cylinder, base-ten blocks, paper/origami/stencil patterns/graph paper, video technology/multi-media, telephone, clocks/stopwatches/calenders, clinometer/transit, maps/projections/globe

Perfect and Not-So-Perfect Rollers.
James Casey.
Mathematics Teacher, January 1998, 91:1, 12-20.
Grade: Secondary
 
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
 
The Navigator in the Classroom.
William Wallace.
Mathematics Teacher, May 1998, 91:5, 384-387.
Grade: Secondary
 
Up the Creek with a Paddle.
Mikel Haug.
Mathematics Teacher, September 1998, 91:6, 456-460.
Grade: 8-12
 
Sine, Curves and Spaghetti.
Blake E. Peterson, Patrick Averbeck, and Lynanna Baker.
Mathematics Teacher, October 1998, 91:7, 564-567.
Grade: Secondary
Calculating Human Horsepower.
Pam Cox and Linda Bridges.
Mathematics Teacher, March 1999, 92:3, 225-228.
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
 
The Vortex Tessellation.
John P. Drost.
Mathematics Teacher, April 1999, 92:4, 286-290.
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
 
Why Not Three Dimensions?
Steve Lege.
Mathematics Teacher, October 1999, 92:7, 560-563.
Grade: Secondary
 
Grasping Graphing.
Anne C. Patterson.
Mathematics Teacher, December 1999, 92:9, 758-762.
Grade: Secondary
 
Astronomical Math.
Robert Ryden.
Mathematics Teacher, December 1999, 92:9, 786-792.
Grade: Secondary
 
I Found Sinusoids in My Gas Bill.
Cathy G. Schloemer.
Mathematics Teacher, January 2000, 93:1, 10-12.
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
 
Liquid Assets: Increasing Students’ Mathematical Capital.
Mary Jean Winter and Ronald J. Carlson.
Mathematics Teacher, March 2000, 93:3, 172-178.
Grade: Secondary
 
Function-ing in a World of Motion.
Julie K. Dixon, Cynthia L. Glickman, Terri L. Wright, and Michelle T. Nimer.
Mathematics Teacher, March 2000, 93:3, 180-185.
Grade: Secondary
 
How One Physics Teacher Changed His Algebraic Thinking.
Marsha P. Nicol.
Mathematics Teacher, February 1997, 90:2, 86-89.
Grade: Secondary
 
Telephones and Algebra.
Elizabeth Berman Appelbaum.
Mathematics Teacher, February 1997, 90:2, 96-100.
Grade: Secondary
 
A Mathematics Trail at Exeter Academy.
Ron Lancaster and Vince Delisi.
Mathematics Teacher, March 1997, 90:3, 234-237.
Grade: Secondary
 
Data Analysis and the Hardrock 100.
Marny Frantz and Sylvia Lazarnick.
Mathematics Teacher, April 1997, 90:4, 274-276.
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 Mathematics of Global Positioning System.
Gail D. Nord, David Jabon, and John Mord.
Mathematics Teacher, September 1997, 90:6, 455-462, 469-470.
Grade: 10-12
 
Using Clock Arithmetic to Send Secret Messages.
Catherine A. Gorini.
Mathematics Teacher, February 1996, 89:2, 100-104.
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
 
How High is the Water Tower?
Richard Alverez.
Mathematics Teacher, April 1996, 89:4, 271-278.
Grade: Secondary
 
Architecture and Mathematics.
Daniel K. Reif.
Mathematics Teacher, September 1996, 89:6, 456-458.
Grade: Secondary
 
Where are We?
Charles Waiveris and Timothy V. Craine.
Mathematics Teacher, September 1996, 89:6, 524-534.
Grade: 9-11
 
Building Mathematical Models of Simple Harmonic and Damped Motion.
Thomas Edwards.
Mathematics Teacher, January 1995, 88:1, 18-22.
Grade: 11-12
 
An Example of Algebra in Lake Roosevelt.
Gail D. Nord and John Nord.
Mathematics Teacher, February 1995, 88:2, 116-120.
Grade: Secondary
 
Connecting Geometry and Algebra: Geometric Interpretations of Distance.
Terry W. Cretes.
Mathematics Teacher, April 1995, 88:4, 292-297.
Grade: Secondary


Mental math -- games/puzzles/toys, dice/number cubes, spinners

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
 
Calender. Mathematics Teacher.


Modular arithmetic -- computers/Internet/software/spreadsheets, games/puzzles/toys, calculators/graphing calculators, video technology/multi-media

Paving the Way to Algebraic Thought Using Residue Designs.
Iris DeLoach Johnson.
Mathematics Teacher, April 1998, 91:4, 326-332.
Grade: 8
 
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
 
Using Clock Arithmetic to Send Secret Messages.
Catherine A. Gorini.
Mathematics Teacher, February 1996, 89:2, 100-104.
Grade: Secondary


Money management -- computers/Internet/software/spreadsheets, money, calculators/graphing calculators, paper/origami/stencil patterns/graph paper

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
 
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
 
Making Sense of Slope.
Ann R. Crawford and William E. Scott.
Mathematics Teacher, February 2000, 93:2, 114-118.
Grade: Secondary
 
Analyzing Unstable Systems of Linear Equations.
Harris S. Shultz.
Mathematics Teacher, May 2000, 93:5, 388-390.
Grade: Secondary
 
Telephones and Algebra.
Elizabeth Berman Appelbaum.
Mathematics Teacher, February 1997, 90:2, 96-100.
Grade: Secondary
 
An Interest in Radioactivity.
Jane B. Kennedy.
Mathematics Teacher, March 1996, 89:3, 209-214, 228-230.
Grade: 7-12
 
Geometry, Iteration, and Finance.
A. Landy Godbold Jr.
Mathematics Teacher, November 1996, 89:8, 646-651.
Grade: Secondary
 
Calender. Mathematics Teacher.


Number concepts/operations -- cubes/Unifix cubes, spinners, dice/number cubes, candy/food, calculators/graphing calculators, base-ten blocks, money, balance scale/weights/scales, models/simulation, protractors, building blocks, rulers/tape measures/trundle wheels/calipers, geoboards, clocks/stopwatches/calenders, paper/origami/stencil patterns/graph paper, arithmetic-mean machine, games/puzzles/toys, compasses, computers/Internet/software/spreadsheets, math tables/number lines/100’s chart/10x10 grid/circle chart, video technology/multi-media, fractal cards, nomographs, slide rules

How Many Cards? Let’s Ask the LCM.
Monte J. Zerger.
Mathematics Teacher, April 1996, 89:4, 298-299, 305.
Grade: Secondary
 
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
 
Mean Machines.
Alfinio Flores.
Mathematics Teacher, March 1998, 91:3, 266-268.
Grade: 9
 
Creative Writing in Trigonometry.
Julia A Barnes.
Mathematics Teacher, September 1999, 92:6, 498-503.
Grade: Secondary
 
Optimization: A Project in Mathematics and Communication.
Martha H. Louther.
Mathematics Teacher, December 1999, 92:9, 764-767, 812.
Grade: 9 Senior Calculus
 
Triangular Number in Problem Solving.
Walter Szetela.
Mathematics Teacher, December 1999, 92:9, 820-824.
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
 
Recent Improvements to the Sieve of Eratosthenes.
Antonio R. Quesada.
Mathematics Teacher, April 1997, 90:4, 304-307.
Grade: Secondary
 
The Case of Trapezoidal Numbers.
Carol Feinberg-McBrian.
Mathematics Teacher, January 1996, 89:1, 16-24.
Grade: Secondary
Exploring Parametric Transformations of Functions.
Charles Vonder Embse.
Mathematics Teacher, March 1996, 89:3, 232-240.
Grade: 9-12
 
Representing Probabilities with Pipe Diagrams.
Clifford Konold.
Mathematics Teacher, May 1996, 89:5, 378-382.
Grade: Secondary -- College
 
Data Driven Mathematics: A Curriculum Strand for High School Mathematics.
Gail Burril.
Mathematics Teacher, September 1996, 89:6, 460-465, 540.
Grade: 8-12
 
Pentagrams and Spirals.
Lew Douglas.
Mathematics Teacher, November 1996, 89:8, 680-687.
Grade: 9-11
 
Connecting Geometry and Algebra: Geometric Interpretations of Distance.
Terry W. Cretes.
Mathematics Teacher, April 1995, 88:4, 292-297.
Grade: Secondary
 
In Search of Perfect Triangles.
Martin Vern Bonsangue.
Mathematics Teacher, January 1999, 92:1, 56-61.
Grade: Secondary
 
A Concrete Approach to Mathematical Induction.
Frances Van Dyke.
Mathematics Teacher, April 1995, 88:4, 302-307, 314-318.
Grade: 10-12
 
"What If…?" A Case in Point.
James O. Friel and Gerald E. Gannon.
Mathematics Teacher, April 1995, 88:4, 320-322.
Grade: Secondary
 
Calender. Mathematics Teacher.
 
Exploring Hill Ciphers with Graphing Calculators.
Dennis St. John.
Mathematics Teacher, March 1998, 91:3, 240-244.
Grade: Secondary
 
Fun Fractions? You’ve Got to Be Kidding!
Richard Kreminski.
Mathematics Teacher, October 1998, 91:7, 572-575.
Grade: Secondary
 
Prove It!
Amy A. Prince.
Mathematics Teacher, November 1998, 91:8, 726-728.
Grade: 8-9
 
[Naturally] Numbers Are Fun. Don Crossfield.
Mathematics Teacher, February 1997, 90:2, 92-95.
Grade: Secondary
 
Proof: The Power of Persuasion.
Bill Leonard.
Mathematics Teacher, March 1997, 90:3, 202-204.
Grade: Secondary
 
A Mathematics Trail at Exeter Academy.
Ron Lancaster and Vince Delisi.
Mathematics Teacher, March 1997, 90:3, 234-237.
Grade: Secondary
 
Using Clock Arithmetic to Send Secret Messages.
Catherine A. Gorini.
Mathematics Teacher, February 1996, 89:2, 100-104.
Grade: Secondary
 
A Concrete Approach to Mathematical Induction.
Frances Van Dyke.
Mathematics Teacher, April 1995, 88:4, 302-307, 314-318.
Grade: 10-12
Using Spreadsheets to Analyze the Historical Perspectives of Apportionment.
Robert Iovinelli.
Mathematics Teacher, February 1998, 91:2, 176-182.
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
 
Getting to the Root of the Problem.
Peter Vanden Bosch.
Mathematics Teacher, March 2000, 93:3, 208-211.
Grade: Secondary
 
Can You Guess My Number?
Paula J. Maida.
Mathematics Teacher, February 1997, 90:2, 114-117.
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
 
Activities for the Logistic Growth Model; or, Invasion of the Killer Moths.
Robert (Bob) Iovinelli.
Mathematics Teacher, October 1997, 90:7, 588-597.
Grade: Secondary
 
An Interest in Radioactivity.
Jane B. Kennedy.
Mathematics Teacher, March 1996, 89:3, 209-214, 228-230.
Grade: 7-12
 
Cutting a Chain -- a Problem Made to Be Generalized.
Gerald Gannon and Mario Martelli.
 
Mathematics Teacher, April 1996, 89:4, 292-293.
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
 
A Geometric Approach to the Discriminent.
R. Daniel Hurwitz.
Mathematics Teacher, April 1995, 88:4, 323-325.
Grade: Secondary
 
A Calculator Investigation of an Interesting Polynomial.
Margery Binder.
Mathematics Teacher, October 1995, 88:7, 558-560.
Grade: Secondary

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