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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
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