Concepts to Mathematical Tools to References Secondary

Decimals -- base-ten blocks, money, calculators/graphing calculators, dice/number cubes, spinners, computers/Internet/software/spreadsheets, candy/food

Geometric Meaning in the Mean Means More Meaningful Mathematics.
Matt E. Fluster.
Mathematics Teacher, March 2001, 94:3, 186-192.
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

Sine, Curves and Spaghetti.
Blake E. Peterson, Patrick Averbeck, and Lynanna Baker.
Mathematics Teacher, October 1998, 91:7, 564-567.
Grade: Secondary

Fun Fractions? You've Got to Be Kidding!
Richard Kreminski.
Mathematics Teacher, October 1998, 91:7, 572-575.
Grade: Secondary

Paving the Way to Algebraic Thought Using Residue Designs.
Iris DeLoach Johnson.
Mathematics Teacher, April 1998, 91:4, 326-332.
Grade: 8


Dimensionality/3D/2D -- building blocks, geometric shapes, geometric solids/polyhedra/nets, computers/Internet/software/spreadsheets, cubes/Unifix cubes, paper/origami/stencil patterns/graph paper, pattern blocks, fractal cards, models/simulation, knitting needles, rulers/tape measures/trundle wheels/callipers, maps/projections/globe, candy/food, calculators/graphing calculators

Irrational Numbers on the Number Line: Perfectly Placed.
Margaret E. Coffey.
Mathematics Teacher, September 2001, 94:6, 453-455.
Grade: Secondary

Dividing Any Angle into Any Number of Equal Parts.
Thomas W. Hutcheson.
Mathematics Teacher, May 2001, 94:5, 400-405.
Grade: Secondary

Consequences of the Varignon Parallelogram Theorem.
Peter N. Oliver.
Mathematics Teacher, May 2001, 94:5, 406-408.
Grade: Elementary -- Secondary

Visualizing the Complex Roots of Quadratic and Cubic Equations.
Alan Lipp.
Mathematics Teacher, May 2001, 94:5, 410-413.
Grade: Secondary

Cubic Polynomials.
Alan Lipp.
Mathematics Teacher, December 2000, 93:9, 788-792.
Grade: Secondary

Why Not Three Dimensions?
Steve Lege.
Mathematics Teacher, October 1999, 92:7, 560-563.
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

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 Pyramid Question: A Problem-Solving Adventure.
Ruth M. McClintock.
Mathematics Teacher, April 1997, 90:4, 262-268.
Grade: Secondary

Multiple Connections.
Rose Mary Zbiek.
Mathematics Teacher, November 1996, 89:8, 628-634.
Grade: 9

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

Making Connections: Spatial Skills and Engineering Drawings.
Beverly Gimmestad Baartmans and Sheryl A. Sorby.
Mathematics Teacher, April 1996, 89:4, 348-354.
Grade: Secondary

A Calculator Investigation of an Interesting Polynomial.
Margery Binder.
Mathematics Teacher, October 1995, 88:7, 558-560.
Grade: Secondary

Teaching Graphing Concepts with Graphing Calculators.
Joseph Mercer.
Mathematics Teacher, April 1995, 88:4, 268-273.
Grade: Secondary

A Concrete Approach to Mathematical Induction.
Frances Van Dyke.
Mathematics Teacher, April 1995, 88:4, 302-307, 314-318.
Grade: 10-12


Discrete mathematics -- computers/Internet/software/spreadsheets, calculators/graphing calculators

Discrete Dynamical Systems Meet the Classic Monkey-and-the-Bananas Problem.
Gerald E. Gannon and Mario U. Martelli.
Mathematics Teacher,
April 2001, 94:4, 299-301.
Grade: Secondary

A Quilting Problem: The Power of Multiple Solutions.
Rheta N. Rubenstein.
Mathematics Teacher, March 2001, 94:3, 170-173.
Grade: Secondary

Dinosaurs, Dinosaur Eggs, and Probability.
Anne R. Teppo and Ted Hodgson.
Mathematics Teacher, February 2001, 94:2, 86-92.
Grade: 8-12+

Cost Allocation: An Application of Fair Division.
Albert Goetz.
Mathematics Teacher, October 2000, 93:7, 600-603.
Grade: Secondary

The Square-Patio Problem.
Martha H. Lowther.
Mathematics Teacher, January 1996, 89:1, 4-6.
Grade: Middle -- 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

A Calculator Investigation of an Interesting Polynomial.
Margery Binder.
Mathematics Teacher, October 1995, 88:7, 558-560.
Grade: Secondary


Dow Jones industrial average -- computers/Internet/software/spreadsheets, books/ journals/ newspapers/portfolios

Using Financial Headlines and the Internet to Keep Statistics Classes Fresh.
Marilyn B. Durkin.
Mathematics Teacher, April 2000, 93:4, 318-323.
Grade: Secondary


Dynamic geometry/mathematics -- models/simulation, paper/origami/stencil patterns/graph paper, calculators/graphing calculators, computers/Internet/software/spreadsheets, books/journals/newspapers/portfolios

Discrete Dynamical Systems Meet the Classic Monkey-and-the-Bananas Problem.
Gerald E. Gannon and Mario U. Martelli.
Mathematics Teacher, April 2001, 94:4, 299-301.
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

Stimulating Mathematical Interest with Dynamical Systems.
Marilyn B. Durkin.
Mathematics Teacher, March 1996, 89:3, 242-247.
Grade: Secondary


Equality/equivalence/inequality/equations -- algebra tiles, calculators/graphing calculators, games/puzzles/toys, money, cubes/Unifix cubes, clocks/stopwatches/calendars, rollers, protractors, compasses, telephone, computers/Internet/software/spreadsheets, geoboards, building blocks/Lego, geometric shapes, video technology/multi-media, rulers/tape measures/trundle wheels/callipers, paper/origami/stencil patterns/graph paper, games/puzzles/toys, balance scale/weights/scales, models/simulation, candy/food, books/journals/newspapers/portfolios

Understanding Transformations of Periodic Functions through Art.
Syrilda Miller.
Mathematics Teacher, November 2001, 94:8, 632-635.
Grade: Pre-calculus

Stand Up and Be Counted: The Mathematics of Congressional Apportionment.
Peggy A. House.
Mathematics Teacher, November 2001, 94:8, 692-697.
Grade: Secondary

Determining the Endpoint of a Segment.
Asif Khan Mustafa.
Mathematics Teacher, October 2001, 94:7, 586-589.
Grade: Secondary

Less Is Sometimes More.
Susan Socha.
Mathematics Teacher, September 2001, 94:6, 450-452.
Grade: Secondary

Linking Task Characteristics to the Development of Symbol Sense.
Margaret Tatem Kinzel.
Mathematics Teacher, September 2001, 94:6, 494-499.
Grade: Secondary

Seven Wonders of the Ancient and Modern Quadratic World.
Sharon E. Taylor and Kathleen Cage Mittag.
Mathematics Teacher, May 2001, 94:5, 349-350, 361.
Grade: Secondary

The Equation of a Triangle.
Miriam Amit, Michael N. Fried, and Pavel Satianov.
Mathematics Teacher, May 2001, 94:5, 362-364.
Grade: Secondary

Stretching Pythagoras around the Corner: Linking and Modeling in Precalculus.
David H. Collingwood and Marilyn Stor.
Mathematics Teacher, May 2001, 94:5, 369-379.
Grade: Secondary

Visualizing the Complex Roots of Quadratic and Cubic Equations.
Alan Lipp.
Mathematics Teacher, May 2001, 94:5, 410-413.
Grade: Secondary

Kissing Pennies and Eating Pi.
David A. Buhl.
Mathematics Teacher, April 2001, 94:4, 254-256.
Grade: Secondary

Seeing How Money Grows.
James Metz.
Mathematics Teacher, April 2001, 94:4, 278-286.
Grade: Secondary

Discrete Dynamical Systems Meet the Classic Monkey-and-the-Bananas Problem.
Gerald E. Gannon and Mario U. Martelli.
Mathematics Teacher, April 2001, 94:4, 299-301.
Grade: Secondary

Geometric Approaches to Quadratic Equations from Other Times and Places.
Patricia R. Allaire and Robert E. Bradley.
Mathematics Teacher, April 2001, 94:4, 308-313, 319.
Grade: Secondary

Tunja Sequences as Examples of Employing Students' Powers to Generalize.
John H. Mason.
Mathematics Teacher, March 2001, 94:3, 164-168.
Grade: Secondary

Analytic Methods in Investigative Geometry.
David E. Dobbs.
Mathematics Teacher, January 2001, 94:1, 28-30.
Grade: Secondary

Doing Mathematics with Bicycle Gear Ratios.
Sheryl L. Stump.
Mathematics Teacher, December 2000, 93:9, 762-768, 775-776.
Grade: Secondary

Cubic Polynomials.
Alan Lipp.
Mathematics Teacher, December 2000, 93:9, 788-792.
Grade: Secondary

Strength of Wood Beams: An Engineering Application.
Mary Dengerud-Au.
Mathematics Teacher, October 2000, 93:7, 544-549.
Grade: Secondary

Don't Teach Technology, Teach with Technology.
Vivian Flora Cyrus and Ben V. Flora.
Mathematics Teacher, October 2000, 93:7, 564-567.
Grade: Secondary

Building Connections among Classes of Polynomial Functions.
Judy Curran Buck.
Mathematics Teacher, October 2000, 93:7, 591-598.
Grade: Secondary

A Triangle Divided: Investigating Equal Areas.
Daniel Scher.
Mathematics Teacher, October 2000, 93:7, 608-611.
Grade: Secondary

Using Homemade Algebra Tiles to Develop Algebra and Prealgebra Concepts.
Annette Ricks Leitze and Nancy A. Kitt.
Mathematics Teacher, September 2000, 93:6, 432-466, 520.
Grade: Secondary

Analyzing Unstable Systems of Linear Equations.
Harris S. Shultz.
Mathematics Teacher, May 2000, 93:5, 388-390.
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

The Spaghetti 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

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

Liquid Assets: Increasing Students' Mathematical Capital.
Mary Jean Winter and Ronald J. Carlson.
Mathematics Teacher, March 2000, 93:3, 172-178.
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

Chaotic Behavior in the Classroom.
Robert C. Iovinelli.
Mathematics Teacher, February 2000, 93:2, 148-153.
Grade: Secondary

Reunion of Broken Parts: Experiencing Diversity in Algebra.
Lawrence M. Lesser.
Mathematics Teacher, January 2000, 93:1, 62-66.
Grade: Secondary

Grasping Graphing.
Anne C. Patterson.
Mathematics Teacher, December 1999, 92:9, 758-762.
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

Discovery Algebra: Graphing Linear Equations.
David A. Thomas and Rex A. Thomas.
Mathematics Teacher, October 1999, 92:7, 565-567.
Grade: Secondary

Smokey the Bear Takes Algebra.
Albert Goetz.
Mathematics Teacher, October 1999, 92:7, 596-604.
Grade: 7-12

Counting Triples, Triangles, and Acute Triangles.
Ruth McClintock.
Mathematics Teacher, October 1999, 92:7, 612-619.
Grade: 9-12

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

Understanding Algebraic Notation from the Students' Perspective.
Margaret Tatem Kinzel.
Mathematics Teacher, May 1999, 92:5, 436-442.
Grade: Secondary

Using a Digital Camera to Verify Quadratic Behavior.
Harris S. Schultz.
Mathematics Teacher, April 1999, 92:4, 292-293.
Grade: Secondary

Algebra as Generalized Arithmetic: Starting with the Known for a Change.
Randolph A. Philipp and Bonnie P. Schappelle.
Mathematics Teacher, April 1999, 92:4, 310-316.
Grade: Secondary

Graphing Vertical and Horizontal Lines.
Robert S. Coughlin Jr.
Mathematics Teacher, March 1999, 92:3, 222-223.
Grade: Secondary

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

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 Postage-Stamp Problem, Number Theory, and the Programmable Calculator.
    Harris S. Schultz.
    Mathematics Teacher, January 1999, 92:1, 20-22.
    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

    A Discourse on Discourse: Wrestling with Teaching Rational Equations.
    Cynthia Marie Smith.
    Mathematics Teacher, December 1998, 91:9, 749-753.
    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

    A Unified Framework for Proof and Disproof.
    Susanna S. Epp.
    Mathematics Teacher, November 1998, 91:8, 708-713.
    Grade: Secondary

    Stitching Quilts into Coordinate Geometry.
    Susanne K. Westegaard.
    Mathematics Teacher, October 1998, 91:7, 587-592, 598-600.
    Grade: 7-12

    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

    Sediment in Lake Coeur d'Alene, Idaho.
    Gail Nord and John Nord.
    Mathematics Teacher, April 1998, 91:4, 292-296.
    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

    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

    Introducing the Variable through Pattern Exploration.
    Lyn D. English and Elizabeth A. Warren.
    Mathematics Teacher, February 1998, 91:2, 166-170.
    Grade: 6-9

    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

    Multiple Representations and Connections Using Technology.
    Charles Vonder Embse and Vernon W. Yoder.
    Mathematics Teacher, January 1998, 91:1, 62-67.
    Grade: Secondary

    Piecing Together Piecewise Functions.
    Sybria L. King.
    Mathematics Teacher, October 1997, 90:7, 550-552.
    Grade: Secondary

    The Pythagorean Theorem: An Infinite Number of Proofs?
    Larry Hoehn.
    Mathematics Teacher, September 1997, 90:6, 438-441.
    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

    A Look at Parabolas with a Graphing Calculator.
    Luella H. Johnson.
    Mathematics Teacher, April 1997, 90:4, 278-282.
    Grade: Secondary

    A Formula for Factoring.
    Kay I. Meeks Roebuck.
    Mathematics Teacher, March 1997, 90:3, 206-207.
    Grade: Secondary

    Telephones and Algebra.
    Elizabeth Berman Appelbaum.
    Mathematics Teacher, February 1997, 90:2, 96-100.
    Grade: Secondary

    Solving Equations in a Technological Environment.
    Michal Yerushalmy and Shoshana Gilead.
    Mathematics Teacher, February 1997, 90:2, 156-162.
    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

    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

    Pentagrams and Spirals.
    Lew Douglas.
    Mathematics Teacher, November 1996, 89:8, 680-687.
    Grade: 9-11

    Experiments from Psychology and Neurology.
    William S. Hadley.
    Mathematics Teacher, October 1996, 89:7, 562-569.
    Grade: Secondary

    Journals: Pathways to Thinking in Second-Year Algebra.
    Kathleen P. Chapman.
    Mathematics Teacher, October 1996, 89:7, 588-590.
    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

    The Demands of Alternative Assessment: What Teachers Say.
    Thomas J. Cooney, Karen Bell, Diane Fisher-Cauble, and Wendy B. Sanchez.
    Mathematics Teacher, September 1996, 89:6, 484-488.
    Grade: Secondary

    An Interest in Radioactivity.
    Jane B. Kennedy.
    Mathematics Teacher, March 1996, 89:3, 209-214, 228-230.
    Grade: 7-12

    Exploring Parametric Transformations of Functions.
    Charles Vonder Embse.
    Mathematics Teacher, March 1996, 89:3, 232-240.
    Grade: 9-12

    Trap a Surprise in an Isosceles Trapezoid.
    Margaret M. Housinger.
    Mathematics Teacher, January 1996, 89:1, 12-14.
    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

    Teaching Graphing Concepts with Graphing Calculators.
    Joseph Mercer.
    Mathematics Teacher, April 1995, 88:4, 268-273.
    Grade: Secondary

    Graphing Art.
    Fan Disher.
    Mathematics Teacher, February 1995, 88:2, 124-128, 134-135.
    Grade: 9-12

    Surprising Results Using Calculators for Derivatives.
    Albert Goetz and Jeremy Kahan.
    Mathematics Teacher, January 1995, 88:1, 30-33.
    Grade: Secondary


  • Estimation -- geoboards, balance scale/weights/scales, rulers/tape measures/trundle wheels/callipers, computers/Internet/software/spreadsheets, calculators/graphing calculators, games/puzzles/toys

    A (S)timulating Study of Map Projections: An Exploration Integrating Mathematics and
    Social Studies.
    Jesse L. M. Wilkins and David Hicks.
    Mathematics Teacher, November 2001, 94:8, 660-671.
    Grade: 7-12

    Exploring the Birthday Paradox Using a Monte Carlo Simulation and Graphing
    Calculators.
    Matthew C. Whitney.
    Mathematics Teacher, April 2001, 94:4, 258-262.
    Grade: Secondary

    The Archaeological Dig Site: Using Geometry to Reconstruct the Past.
    Patricia S. Moyer and Wei She Hsia.
    Mathematics Teacher, March 2001, 94:3, 193-199, 206-207.
    Grade: Secondary

    Angle Limit -- A Paper-Folding Investigation.
    David Pagni and Larry Espinoza.
    Mathematics Teacher, January 2001, 94:1, 20-22.
    Grade: Secondary

    Doing Mathematics with Bicycle Gear Ratios.
    Sheryl L. Stump.
    Mathematics Teacher, December 2000, 93:9, 762-768, 775-776.
    Grade: Secondary

    A Mathematical Study of the Game "Twenty-Four Points."
    Yixun Shi.
    Mathematics Teacher, December 1999, 92:9, 828-832.
    Grade: Secondary

    Using Simulation on the Internet to Teach Statistics.
    Vee Ming Ng and Khoon Yoon Wong.
    Mathematics Teacher, November 1999, 92:8, 729-733.
    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

    Studying Proportions Using the Capture-Recapture Method.
    Gregory D. Bisbu and David M. Conway.
    Mathematics Teacher, March 1999, 92:3, 215-218.
    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

    Counting Penguins.
    Mike Perry and Garry Koder.
    Mathematics Teacher, February 1998, 91:2, 110-116.
    Grade: 9-12

    A Mathematics Trail at Exeter Academy.
    Ron Lancaster and Vince Delisi.
    Mathematics Teacher, March 1997, 90:3, 234-237.
    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


    Euclidean geometry -- compasses, calculators/graphing calculators, games/puzzles/toys, computers/Internet/software/spreadsheets, pattern blocks, paper/origami/stencil patterns/graph paper, rulers/tape measures/trundle wheels/callipers

    Mathematics Didn't Just Happen.
    James E. Lightener.
    Mathematics Teacher, December 2001, 94:9, 780-784.
    Grade: Secondary

    Triangles a la Fettuccine: A Hands-on Approach to Triangle-Congruence Theorems.
    Mathematics Teacher, October 2001, 94:7, 534-537.
    Grade: Secondary

    Searching Families as a Source of Surprise.
    Greisy Winicki-Landman.
    Mathematics Teacher, September 2001, 94:6, 468-478.
    Grade: Algebra and up

    Equiareal Polygons: A Mathematical Conversation about a "New" Concept.
    Greisy Winicki-Landman.
    Mathematics Teacher, March 2001, 94:3, 211-216.
    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

    A Mathematical History Tour.
    Loretta Kelly.
    Mathematics Teacher, January 2000, 93:1, 14-17.
    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

    The Rules of the Game.
    Don Gernes.
    Mathematics Teacher, May 1999, 92:5, 424-429.
    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

    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 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

    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

    Proof: The Power of Persuasion.
    Bill Leonard.
    Mathematics Teacher, March 1997, 90:3, 202-204.
    Grade: Secondary

    Pentagrams and Spirals.
    Lew Douglas.
    Mathematics Teacher, November 1996, 89:8, 680-687.
    Grade: 9-11

    Starting a Euclid Club.
    Jeremiah Joseph Brodkey.
    Mathematics Teacher, May 1996, 89:5, 386-388.
    Grade: Secondary


    Fibonacci sequences/numbers -- computers/Internet/software/spreadsheets, calculators/graphing calculators

    Mathematics Didn't Just Happen.
    James E. Lightener.
    Mathematics Teacher, December 2001, 94:9, 780-784.
    Grade: Secondary

    Pythagorean Triples from Harmonic Sequences.
    Angelo S. DiDomenico and Randy J. Tanner.
    Mathematics Teacher, March 2001, 94:3, 218-222.
    Grade: Secondary

    Generalized Fibonacci Sequences.
    Sean Bradley.
    Mathematics Teacher, October 2000, 93:7, 604-606.
    Grade: Secondary

    Analyzing Unstable Systems of Linear Equations.
    Harris S. Shultz.
    Mathematics Teacher, May 2000, 93:5, 388-390.
    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

    Fun Fractions? You've Got to Be Kidding!
    Richard Kreminski.
    Mathematics Teacher, October 1998, 91:7, 572-575.
    Grade: Secondary

    A Geometric Puzzle That Leads to Fibonacci Sequences.
    Mathematics Teacher, January 1998, 91:1, 21-23.
    Grade: Secondary

    Fibonacci Meets the TI-82.
    Gloria S. Dion.
    Mathematics Teacher, February 1995, 88:2, 101-105.
    Grade: Secondary


    Fractal geometry/chaos theory -- fractal cards, calculators/graphing calculators, pattern blocks

    A Truth Table on the Island of Truthtellers and Liars.
    Christopher Baltus.
    Mathematics Teacher, December 2001, 94:9, 730-732.
    Grade: Secondary

     
    Benoit Mandelbrot: The Euclid of Fractal Geometry.
    Dane R. Camp.
    Mathematics Teacher, November 2000, 93:8, 708-712.
    Grade: Secondary

    Getting to the Root of the Problem.
    Peter Vanden Bosch.
    Mathematics Teacher, March 2000, 93:3, 208-211.
    Grade: Secondary

    Chaotic Behavior in the Classroom.
    Robert C. Iovinelli.
    Mathematics Teacher, February 2000, 93:2, 148-153.
    Grade: Secondary

    Build a Sierpinski Pyramid.
    Paul Kelley.
    Mathematics Teacher, May 1999, 92:5, 384-386.
    Grade: Secondary

    Exploring Fractals in the Classroom.
    Michael Naylor.
    Mathematics Teacher, April 1999, 92:4, 360-366.
    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

    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

    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

    Geometric Construction: Visualizing and Understanding Geometry.
    Cathleen V. Sanders.
    Mathematics Teacher, October 1998, 91:7, 554-556.
    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

    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

    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


    Fractions -- computers/Internet/software/spreadsheets, pattern blocks, base-ten blocks, geoboards, clocks/stopwatches/calendars, cubes/Unifix cubes, money, calculators/graphing calculators, dice/number cubes, spinners, games/puzzles/toys

    Stand Up and Be Counted: The Mathematics of Congressional Apportionment.
    Peggy A. House.
    Mathematics Teacher, November 2001, 94:8, 692-697.
    Grade: Secondary

    Geometric Meaning in the Mean Means More Meaningful Mathematics.
    Matt E. Fluster.
    Mathematics Teacher, March 2001, 94:3, 186-192.
    Grade: Secondary

    Fun Fractions? You've Got to Be Kidding!
    Richard Kreminski.
    Mathematics Teacher, October 1998, 91:7, 572-575.
    Grade: Secondary

    Thinking Deeply about Knowing Mathematics.
    Joanna O. Masingila.
    Mathematics Teacher, October 1998, 91:7, 610-614.
    Grade: Secondary

    How Many Cards? Let's Ask the LCM.
    Monte J. Zerger.
    Mathematics Teacher, April 1996, 89:4, 298-299, 305.
    Grade: Secondary

    "What If…?" A Case in Point.
    James O. Friel and Gerald E. Gannon.
    Mathematics Teacher, April 1995, 88:4, 320-322.
    Grade: Secondary


    Functions -- calculators/graphing calculators, computers/Internet/software/spreadsheets, compasses, geoboards, video technology/multi-media, protractors, rulers/tape measures/trundle wheels/callipers, paper/origami/stencil patterns/graph paper, games/puzzles/toys, candy/food, telephone, models/simulation, rollers, books/journals/newspapers/portfolios

    A Truth Table on the Island of Truthtellers and Liars.
    Christopher Baltus.
    Mathematics Teacher, December 2001, 94:9, 730-732.
    Grade: Secondary

    Black Dots: Newton's Method and a Simple One-Dimensional Fractal.
    Tony J. Fisher.
    Mathematics Teacher, December 2001, 94:9, 734-737.
    Grade: Secondary

    Understanding Transformations of Periodic Functions through Art.
    Syrilda Miller.
    Mathematics Teacher, November 2001, 94:8, 632-635.
    Grade: Pre-calculus

    Mathematical Modeling: Compound Functions and the IRS Tax Rate Schedules.
    William J. Wolbert.
    Mathematics Teacher, November 2001, 94:8, 656-659.
    Grade: Secondary

    Functions of Number Theory in Music.
    Craig M. Johnson.
    Mathematics Teacher, November 2001, 94:8, 700-707.
    Grade: Secondary

    Dynamic Visualizations of Calculus Ideas.
    Charles Vonder Embse.
    Mathematics Teacher, October 2001, 94:7, 602-607.
    Grade: Secondary

    Searching Families as a Source of Surprise.
    Greisy Winicki-Landman.
    Mathematics Teacher, September 2001, 94:6, 468-478.
    Grade: Algebra and up

    Teaching Mathematical Induction: An Alternative Approach.
    Lucas G. Allen.
    Mathematics Teacher, September 2001, 94:6, 500-504.
    Grade: Pre-calculus

    Seven Wonders of the Ancient and Modern Quadratic World.
    Sharon E. Taylor and Kathleen Cage Mittag.
    Mathematics Teacher, May 2001, 94:5, 349-350, 361.
    Grade: Secondary

    Stretching Pythagoras around the Corner: Linking and Modeling in Precalculus.
    David H. Collingwood and Marilyn Stor.
    Mathematics Teacher, May 2001, 94:5, 369-379.
    Grade: Secondary

    Visualizing the Complex Roots of Quadratic and Cubic Equations.
    Alan Lipp.
    Mathematics Teacher, May 2001, 94:5, 410-413.
    Grade: Secondary

    Discrete Dynamical Systems Meet the Classic Monkey-and-the-Bananas Problem.
    Gerald E. Gannon and Mario U. Martelli.
    Mathematics Teacher, April 2001, 94:4, 299-301.
    Grade: Secondary

    Is the Derivative of a Product the Product of the Derivatives?
    Marsha Hurwitz.
    Mathematics Teacher, January 2001, 94:1, 23-27.
    Grade: Secondary

    An Extension: Gather Your Students around the Gathering Circles.
    Peggy House.
    Mathematics Teacher, December 2000, 93:9, 751-752.
    Grade: Secondary

    Building Connections among Classes of Polynomial Functions.
    Judy Curran Buck.
    Mathematics Teacher, October 2000, 93:7, 591-598.
    Grade: Secondary

    A Simulation to Model Exponential Growth.
    Elizabeth Berman Appelbaum.
    Mathematics Teacher, October 2000, 93:7, 614-615.
    Grade: Secondary

    Kinematics and Graphs: Students' Difficulties and CBLs.
    Patricia Hale.
    Mathematics Teacher, May 2000, 93:5, 414-417.
    Grade: Secondary

    Getting to the Root of the Problem.
    Peter Vanden Bosch.
    Mathematics Teacher, March 2000, 93:3, 208-211.
    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

    Understanding the Connections between Equations and Graphs.
    Eric J. Knuth.
    Mathematics Teacher, January 2000, 93:1, 48-53.
    Grade: Secondary

    Reunion of Broken Parts: Experiencing Diversity in Algebra.
    Lawrence M. Lesser.
    Mathematics Teacher, January 2000, 93:1, 62-66.
    Grade: Secondary

    Grasping Graphing.
    Anne C. Patterson.
    Mathematics Teacher, December 1999, 92:9, 758-762.
    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

    Making the Black Box Transparent.
    Lawrence M. Lesser.
    Mathematics Teacher, December 1999, 92:9, 780-784.
    Grade: Secondary

    Maclaurin and Taylor Series for Transcendental Functions: A Graphing-Calculator View
    of Convergence. Marvin E. Stick.
    Mathematics Teacher, December 1999, 92:9, 833-837.
    Grade: Secondary

    Discovering an Optimal Property of the Median.
    Neil C. Schwertman.
    Mathematics Teacher, November 1999, 92:8, 692-703.
    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

    Whelk-come to Mathematics.
    Brian A. Keller and Heather A. Thompson.
    Mathematics Teacher, September 1999, 92:6, 475-481, 485-489.
    Grade: 10-12

    Creative Writing in Trigonometry.
    Julia A Barnes.
    Mathematics Teacher, September 1999, 92:6, 498-503.
    Grade: Secondary

    Using a Digital Camera to Verify Quadratic Behavior.
    Harris S. Schultz.
    Mathematics Teacher, April 1999, 92:4, 292-293.
    Grade: Secondary

    Graphing for All Students.
    William L. Blubaugh and Kristin Emmons.
    Mathematics Teacher, April 1999, 92:4, 323-326, 332-334.
    Grade: Secondary

    We Have Liftoff! Introducing the Logarithmic Function.
    Marsha Hurwitz.
    Mathematics Teacher, April 1999, 92:4, 344-345.
    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

    The Euler Line and Nine-Point-Circle Theorems.
    Frank M. Eccles.
    Mathematics Teacher, January 1999, 92:1, 50-54.
    Grade: Secondary

    Can Computers Be Used to Teach Proofs?
    Judith A. Silver.
    Mathematics Teacher, November 1998, 91:8, 660-663.
    Grade: Secondary

    A Unified Framework for Proof and Disproof.
    Susanna S. Epp.
    Mathematics Teacher, November 1998, 91:8, 708-713.
    Grade: Secondary

    Fun Fractions? You've Got to Be Kidding!
    Richard Kreminski.
    Mathematics Teacher, October 1998, 91:7, 572-575.
    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

    Thinking Deeply about Knowing Mathematics.
    Joanna O. Masingila.
    Mathematics Teacher, October 1998, 91:7, 610-614.
    Grade: Secondary

    Visualizing Cost, Revenue, and Profit.
    Frances Van Dyke.
    Mathematics Teacher, September 1998, 91:6, 488-493, 500-503.
    Grade: Secondary

    The Cevian Problem.
    Duane W. DeTemple and Marjorie Ann Fitting.
    Mathematics Teacher, May 1998, 91:5, 388-392.
    Grade: Secondary

    Paving the Way to Algebraic Thought Using Residue Designs.
    Iris DeLoach Johnson.
    Mathematics Teacher, April 1998, 91:4, 326-332.
    Grade: 8

    Rate of Change of Exponential Functions: A Precalculus Perspective.
    Brian Bradie.
    Mathematics Teacher, March 1998, 91:3, 224-230, 239.
    Grade: Secondary

    Maclaurin's Theorem for High School Calculus Students.
    Ysbrand de Bruyn.
    Mathematics Teacher, March 1998, 91:3, 256-260.
    Grade: Secondary

    Perfect and Not-So-Perfect Rollers.
    J
    . James Casey.
    Mathematics Teacher, January 1998, 91:1, 12-20.
    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

    Reciprocal Mappings: The Neglected Transformations.
    James R. Metz and Joseph T. Zilliox.
    Mathematics Teacher, April 1997, 90:4, 328-327.
    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

    Telephones and Algebra.
    Elizabeth Berman Appelbaum.
    Mathematics Teacher, February 1997, 90:2, 96-100.
    Grade: Secondary

    Getting into the "Swing" of Functions.
    Lauren Clarke.
    Mathematics Teacher, February 1997, 90:2, 102-109.
    Grade: Secondary

    Can You Guess My Number?
    Paula J. Maida.
    Mathematics Teacher, February 1997, 90:2, 114-117.
    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

    Building the Concept of Function from Students' Everyday Activities.
    Susana Davidenko.
    Mathematics Teacher, February 1997, 90:2, 144-149.
    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

    Visualizing the Proof of the Mean-Value Theorem for Derivatives.
    Marsha Hurwitz.
    Mathematics Teacher, January 1997, 90:1, 16-18.
    Grade: Secondary

    Geometry, Iteration, and Finance.
    A. Landy Godbold Jr.
    Mathematics Teacher, November 1996, 89:8, 646-651.
    Grade: Secondary

    A Function Is a Mail Carrier.
    Mark Sand.
    Mathematics Teacher, September 1996, 89:6, 468-469.
    Grade: Secondary

    Becoming Flexible with Functions: Investigating United States Population Growth.
    Barry E. Shealy.
    Mathematics Teacher, May 1996, 89:5, 414-418.
    Grade: Secondary

    An Interest in Radioactivity.
    Jane B. Kennedy.
    Mathematics Teacher, March 1996, 89:3, 209-214, 228-230.
    Grade: 7-12

    Exploring Parametric Transformations of Functions.
    Charles Vonder Embse.
    Mathematics Teacher, March 1996, 89:3, 232-240.
    Grade: 9-12

    Stimulating Mathematical Interest with Dynamical Systems.
    Marilyn B. Durkin.
    Mathematics Teacher, March 1996, 89:3, 242-247.
    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

    Everybody Talks about It! -- Weather Investigations.
    Gloria S. Dion and Iris Brann Fetta.
    Mathematics Teacher, February 1996, 89:2, 160-165.
    Grade: Middle -- College

    A Technology-Intensive Approach to Algebra.
    M. Kathleen Heid and Rose Mary Zbiek.
    Mathematics Teacher, November 1995, 88:8, 650-656.
    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

    A Concrete Approach to Mathematical Induction.
    Frances Van Dyke.
    Mathematics Teacher, April 1995, 88:4, 302-307, 314-318.
    Grade: 10-12

    Name That Graph.
    James Greenwood.
    Mathematics Teacher, January 1995, 88:1, 8-11.
    Grade: Secondary

    Return to Section 4 index page

    Updated 9-1-03