Concepts to Manipulatives to References - Middle

Algebra/patterns -- algebra tiles, calculators/graphing calculators, base-ten blocks, candy/food, pattern blocks, computers/Internet/software/spreadsheets, geometric solids/polyhedra/nets, games/puzzles/toys, hundreds chart/math tables/number lines/10x10 grid/circle chart, capacity containers, money, paper/origami/stencil patterns/graph paper, color tiles, rulers/tape measures/trundle wheels/callipers, books/journals/newspapers/portfolios, video technology/multi-media, attribute blocks, tangrams, cubes/Unifix cubes, chemical test kits, thermometers, clocks/stopwatches/calendars, astrolabes, geometric shapes, egg cartons, Cuisenaire rods, dice/number cubes, string/rope, models/simulation, fabrics/beadwork

Transition Toward Algebra.
Maria L. Fernandez and Cynthia O. Anhalt.
Mathematics Teaching in the Middle School, December 2001, 7:4, 236-241.
Grade: Middle

Developing an Area Formula for a Circle with "Goldilocks and the Three Bears."
Jerry A Ameis.
Mathematics Teaching in the Middle School, November 2001, 7:3, 140-142.
Grade: Middle

Making Connections with Prime Numbers.
Arlene Yolles.
Mathematics Teaching in the Middle School, October 2001, 7:2, 84-86.
Grade: 5

Creating Connections: Promoting Algebraic Thinking with Concrete Models.
Michaele F. Chappell and Marilyn E. Strutchens.
Mathematics Teaching in the Middle School, September 2001, 7:1, 20-25.
Grade: 7-8

Promoting Algebraic Reasoning Using Students' Thinking.
Joyce W. Bishop, Albert D. Otto, and Cheryl A. Lubinski.
Mathematics Teaching in the Middle School, May 2001, 6:9, 508-514.
Grade: 7

From Polygons to Poetry.
Vena M. Long.
Mathematics Teaching in the Middle School, April 2001, 6:8, 436-438.
Grade: Middle

New Approaches to Algebra: Have We Missed the Point?
Stephen J. Thornton.
Mathematics Teaching in the Middle School, March 2001, 6:7, 388-392.
Grade: Middle

Algebraic Thinking through Origami.
William Higginson and Lynda Colgon.
Mathematics Teaching in the Middle School, February 2001, 6:6, 343-349.
Grade: Middle

Revisiting a Difference of Squares.
David Slavit.
Mathematics Teaching in the Middle School, February 2001, 6:6, 378-381.
Grade: Middle

Using Students' Work as a Lens on Algebraic Thinking.
Mark Driscoll and John Moyer.
Mathematics Teaching in the Middle School, January 2001, 6:5, 282-287.
Grade: Middle

Using Models to Build an Understanding of Functions.
Kathleen Cramer.
Mathematics Teaching in the Middle School, January 2001, 6:5, 310-318.
Grade: Middle

A Raisin in the Sun: Fostering Cultural Connections with a Classic Movie.
Michaele F. Chappell and Denisse R. Thompson.
Mathematics Teaching in the Middle School, December 2000, 6:4, 222-225, 233-235.
Grade: Middle

Teaching Toward the Big Ideas of Algebra.
Sonia Woodbury.
Mathematics Teaching in the Middle School, December 2000, 6:4, 226-231.
Grade: Middle

Listening to Middle School Students' Algebraic Thinking.
John P. Smith III, and Elizabeth A Phillips.
Mathematics Teaching in the Middle School, November 2000, 6:3, 156-161.
Grade: Middle

Linking Algebraic Concepts and Contexts: Every Picture Tells A Story.
Susan D. Nickerson, Cheri Nydam, and Janet S. Bowers.
Mathematics Teaching in the Middle School, October 2000, 6:2, 92-98.
Grade: 7

Make Mine Lemon-Roasted.
Hamp Sherard.
Mathematics Teaching in the Middle School, October 2000, 6:2, 100-102.
Grade: Middle

Problem Solving in the Middle Grades.
Carol E. Malloy and D. Bruce Guild.
Mathematics Teaching in the Middle School, October 2000, 6:2, 105-108.
Grade: Middle

Mission Impossible! Can You Walk Your Talk?
Iris DeLoach Johnson.
Mathematics Teaching in the Middle School, October 2000, 6:2, 132-134.
Grade: Middle

Choosing Problems with Entry Points for All Students.
Frances Stern.
Mathematics Teaching in the Middle School, September 2000, 6:1, 8-11.
Grade: Middle

Making Connections: A Thematic Mathematics Project for Grade 7.
David B. Smith.
Mathematics Teaching in the Middle School, September 2000, 6:1, 12-18.
Grade: Middle

Improving Mathematics Teaching and Learning: How Can Principles and Standards Help?
Edward A. Silver.
Mathematics Teaching in the Middle School, September 2000, 6:1, 20-23.
Grade: 6-8

Some "Big Ideas" of Algebra in the Middle Grades.
Thomas G. Edwards.
Mathematics Teaching in the Middle School, September 2000, 6:1, 26-31.
Grade: Middle

Moving to Proportional Reasoning.
Hannah Slovin.
Mathematics Teaching in the Middle School, September 2000, 6:1, 58-60.
Grade: Middle

Teaching Algebra in the Middle Grades Using Mathmagic.
Hari P. Koirala and Phillip M. Goodwin.
Mathematics Teaching in the Middle School, May 2000, 5:9, 562-566.
Grade: 5-6

Pythagorean Triples Served for Dessert.
Thomas G. Edwards.
Mathematics Teaching in the Middle School, March 2000, 5:7, 420-423.
Grade: Middle

Christi Makes Sense of Sixth-Grade Mathematics.
Candice L. Ridlon.
Mathematics Teaching in the Middle School, February 2000, 5:6, 367-373.
Grade: 6

Redefining Success in Mathematics Teaching and Learning.
Margaret Schwan Smith.
Mathematics Teaching in the Middle School, February 2000, 5:6, 382-386.
Grade: Middle

Zooming In on Slope in Curved Graphs.
Darin Beigie.
Mathematics Teaching in the Middle School, January 2000, 5:5, 330-334.
Grade: 7-8

Using Dragon Curves to Learn about Length and Area.
Lyle R. Smith.
Mathematics Teaching in the Middle School, December 1999, 5:4, 222-223.
Grade: Middle

Problem-Centered Mathematics Teaching.
Sarah Theule Lubienski.
Mathematics Teaching in the Middle School, December 1999, 5:4, 250-255.
Grade: Middle

Ordered-Pair Relations -- a Performance Assessment.
Robert M. Allen.
Mathematics Teaching in the Middle School, November 1999, 5:3, 190-194.
Grade: Middle

Socrates and the Three Little Pigs: Connecting Patterns, Counting Trees, and Probability.
Denisse R. Thompson and Richard A. Austin.
Mathematics Teaching in the Middle School, November 1999, 5:3, 156-161.
Grade: 7

Card Logic.
David L. Pagni and Harris S. Shultz.
Mathematics Teaching in the Middle School, October 1999, 5:2, 74-77.
Grade: 5

Exploring Factor Sets with a Graphing Calculator.
Arron Paul Eisen.
Mathematics Teaching in the Middle School, October 1999, 5:2, 78-82.
Grade: Middle

Growth Through Change.
Lois Van Boening.
Mathematics Teaching in the Middle School, September 1999, 5:1, 27-33.
Grade: 4-8

Exploring Probability through an Evens-Odd Dice Game.
Linda R. Wiest and Robert J. Quinn.
Mathematics Teaching in the Middle School, March 1999, 4:6, 358-362.
Grade: 6

Putting Math in Motion with Calculator-Based Labs.
Helen M. Doerr, Cathieann Rieff, and Jason Tabor.
Mathematics Teaching in the Middle School, March 1999, 4:6, 364-367.
Grade: Middle

Building on "Building Up": Proportional-Reasoning Activities for Future Teachers.
Melanie Parker.
Mathematics Teaching in the Middle School, February 1999, 4:5, 286-289.
Grade: 8

Teachers' Action in Community Problem Solving.
David K Pugalee and Carol E. Malloy.
Mathematics Teaching in the Middle School, February 1999, 4:5, 296-300.
Grade: Middle

Relating Fractions & Decimals: Listening to Students Talk.
Lauren Oppenheimer and Robert P. Hunting.
Mathematics Teaching in the Middle School, February 1999, 4:5, 318-321.
Grade: 8

Promoting Mathematical Discourse: Learning from Classroom Examples.
Azita Manouchehri and Mary C. Enderson.
Mathematics Teaching in the Middle School, January 1999, 4:4, 216-222.
Grade: Middle

Using Cases to Integrate Assessment and Instruction.
Sandra K. Wilcox and Perry E. Lanier.
Mathematics Teaching in the Middle School, January 1999, 4:4, 232-241.
Grade: Middle

Changes in Your Classroom: From the Past to the Present to the Future.
Gail Burrill.
Mathematics Teaching in the Middle School, November-December 1998, 4:3, 184-190.
Grade: Middle

State-ing the Facts: Exploring the United States.
Jennifer M. Bay, Ann M. Bledsoe, and Robert E. Reys.
Mathematics Teaching in the Middle School, September 1998, 4:1, 8-14.
Grade: Middle

Building a Teenage Dance Club.
Mary Ann Christina.
Mathematics Teaching in the Middle School, September 1998, 4:1, 26-30.
Grade: Middle

Wheel of Fortune for the Mathematics Classroom.
Edna L. Holbrook.
Mathematics Teaching in the Middle School, September 1998, 4:1, 32-36.
Grade: 7-9

Geometry in the Middle School: An Exchange of Ideas and Experiences.
C. Patrick Collier and Tina Pateracki.
Mathematics Teaching in the Middle School, March-April 1998, 3:6, 412-415.
Grade: 5-8

Mathematical Investigations -- Powerful Learning Situations.
Suzanne H. Chapin.
Mathematics Teaching in the Middle School, February 1998, 3:5, 332-338.
Grade: Middle

The Human Scatterplot.
James J. O-Keefe.
Mathematics Teaching in the Middle School, November-December 1997, 3:3, 208-209.
Grade: Middle

The Fractions of a Day.
Leslie Edelman.
Mathematics Teaching in the Middle School, November-December 1997, 3:3, 192-195.
Grade: 6

A Variation on "And the Winner Is…"
Iris DeLoach Johnson.
Mathematics Teaching in the Middle School, October 1997, 3:2, 148-152.
Grade: Middle

Honest Numbers: A Mathematics and Languages Connection.
Stanley J. Bezuska and Margaret J. Kenney.
Mathematics Teaching in the Middle School, October 1997, 3:2, 142-147.
Grade: Middle

Birthdays and the Binary System: A Magical Mixture.
Karen S. Karp and Robert N. Ronau.
Mathematics Teaching in the Middle School, September 1997, 3:1, 6-12.
Grade: Middle

Worthwhile Tasks: Exploring Mathematical Connections through Geometric Solids.
Daniel J. Brahier and William R. Speer.
Mathematics Teaching in the Middle School, September 1997, 3:1, 20-28.
Grade: Middle

Does the Task Truly Measure What Was Intended?
Carol Santel-Parke and Jinfa Cai.
Mathematics Teaching in the Middle School, September 1997, 3:1, 74-82.
Grade: Middle

Choices and Challenges.
Gail Burrill.
Mathematics Teaching in the Middle School, September 1997, 3:1, 92-96.
Grade: Middle

Is Algebra in the Cards?
Elizabeth H. Bradley.
Mathematics Teaching in the Middle School, May 1997, 2:6, 398-403.
Grade: 8

Mathematics as Reasoning: Episodes from Japan.
Daiyo Sawada.
Mathematics Teaching in the Middle School, May 1997, 2:6, 416-421.
Grade: 1-5

Cross-and-Turn Tile Patterns.
Robert G. Clason, Donna B Ericksen, and Craig S. Ericksen.
Mathematics Teaching in the Middle School, May 1997, 2:6, 430-437.
Grade: 5-8

Algebra: Real-Life Investigations in a Lab Setting.
Leah P. McCoy.
Mathematics Teaching in the Middle School, February 1997, 2:4, 220-224.
Grade: Middle

"Algebra for All" -- Increasing Students Access to Algebraic Ideas, Not Just Algebra Courses.
Edward A. Silver.
Mathematics Teaching in the Middle School, February 1997, 2:4, 204-207.
Grade: Middle

Algebra for Everyone: Start Early.
Katheryn K. Fouch.
Mathematics Teaching in the Middle School, February 1997, 2:4, 226-229.
Grade: 8

Students' Construction of Formulas in Context.
Martin van Reeuwijk and Monica Wijens.
Mathematics Teaching in the Middle School, February 1997, 2:4, 230-236.
Grade: 5-8

Building Algebraic Expressions: A Physical Model.
Anne C. Patterson.
Mathematics Teaching in the Middle School, February 1997, 2:4, 238-242.
Grade: Middle

Building Foundations for Algebra.
Kaye Stacey and Mollie MacGregor.
Mathematics Teaching in the Middle School, February 1997, 2:4, 252-260.
Grade: Middle

Exploring Patterns in Nonroutine Problems.
Frances R. Curcio, Barbara Nimerofsky, Rossana Perez, and Shirel Yaloz.
Mathematics Teaching in the Middle School, February 1997, 2:4, 262-269.
Grade: Middle

From Matching to Mapping: Connecting English and Mathematics.
Sitsofe Enyonam Anku.
Mathematics Teaching in the Middle School, February 1997, 2:4, 270-272.
Grade: Middle

Exploring Algebraic Patterns through Literature.
Richard A. Austin and Denisse R. Thompson.
Mathematics Teaching in the Middle School, February 1997, 2:4, 274-281.
Grade: 5-8

Building Bridges to Algebraic Thinking.
Roger Day and Graham A. Jones.
Mathematics Teaching in the Middle School, February 1997, 2:4, 208-212.
Grade: Middle

Students' Construction of Formulas in Context.
Martin van Reeuwijk and Monica Wijens.
Mathematics Teaching in the Middle School, February 1997, 2:4, 230-236.
Grade: 5-8

Mathematics Projects Promote Students' Algebraic Thinking.
Carol E. Malloy.
Mathematics Teaching in the Middle School, February 1997, 2:4, 282-288.
Grade: 7-8

Exploring Patterns in Nonroutine Problems.
Frances R. Curcio, Barbara Nimerofsky, Rossana Perez, and Shirel Yaloz.
Mathematics Teaching in the Middle School, February 1997, 2:4, 262-269.
Grade: Middle

From Matching to Mapping: Connecting English and Mathematics.
Sitsofe Enyonam Anku.
Mathematics Teaching in the Middle School, February 1997, 2:4, 270-272.
Grade: Middle

Building Equations Using M&M's.
Victoria Borlaug.
Mathematics Teaching in the Middle School, February 1997, 2:4, 290-292.
Grade: Middle

Homework Partners.
Cindy Kaplan.
Mathematics Teaching in the Middle School, January 1997, 2:3, 168-169.
Grade: Middle

Toward a Cooperative Model of Mathematics Staff Development.
Jesse Soloman, Carol Martignette-Baswell, John Downes, Josephine Crowe, and Gail Boyd.
Mathematics Teaching in the Middle School, January 1997, 2:3, 174-177.
Grade: K-12

The Function Game.
Rheta N. Rubenstein.
Mathematics Teaching in the Middle School, November-December 1996, 2:2, 74-78.
Grade: 7-8

Conceptual Understanding and Computational Skill in School Mathematics.
Thomas R. Scavo and Nora K. Conroy.
Mathematics Teaching in the Middle School, March-April 1996, 1:9, 684-686.
Grade: Middle

The Pond: Doing Research Together.
Kevin Kinneavy.
Mathematics Teaching in the Middle School, March-April 1996, 1:9, 696-702.
Grade: Middle

Assessing Mathematical Processes: The English Experience.
Malcom Swan.
Mathematics Teaching in the Middle School, March-April 1996, 1:9, 706-711.
Grade: Middle

It Is Time to Question Fraction Teaching.
Patrick Groff.
Mathematics Teaching in the Middle School, January-February 1996, 1:8, 604-607.
Grade: Middle

Implementing Data Analysis in a Sixth-Grade Classroom.
Patricia A. Brosnan.
Mathematics Teaching in the Middle School, January-February 1996, 1:8, 622-628.
Grade: 5-8

Flower Beds and Landscape Consultants: Making Connections in Middle School Mathematics.
Jim Hersberger and Bill Frederick.
Mathematics Teaching in the Middle School, April-May 1995, 1:5, 364-367.
Grade: Middle

  • "Tri-Square" Numbers.
    Devin Mahoney.
    Mathematics Teaching in the Middle School, April-May 1995, 1:5, 408-409.
    Grade: 7

    Playing Green Globs on TI-81.
    John E. Owens.
    Mathematics Teaching in the Middle School, April-May 1995, 1:5, 370-374.
    Grade: Middle

    The Ratio Table.
    James A. Middleton and Marja van den Heuvel-Pan Huizen.
    Mathematics Teaching in the Middle School, January-March 1995, 1:4, 282-288.
    Grade: 5-6

    Graphing Calculators Aren't Just for High School Students.
    Linda J. C. Taylor and Jeri A. Nichols.
    Mathematics Teaching in the Middle School, November-December 1994, 1:3, 190-196.
    Grade: 5-8

    Introducing Prealgebra Skills in an Egg-citing Way.
    Martha Kay Talbert and Virginia Stalling-Roberts.
    Mathematics Teaching in the Middle School, November-December 1994, 1:3, 198-202.
    Grade: 3-9

    The "Mangoes Problem."
    Jerry Stonewater.
    Mathematics Teaching in the Middle School, November-December 1994, 1:3, 204-210.
    Grade: 5-8

    Students as Textbook Authors.
    Fanny Sosenke.
    Mathematics Teaching in the Middle School, September-October 1994, 1:2, 108-111.
    Grade: 8

    A Conceptual Model for Solving Percent Problems.
    Albert B. Bennett, Jr. and L. Ted Nelson.
    Mathematics Teaching in the Middle School, April 1994, 1:1, 20-25.
    Grade: Middle

  • Promoting Classroom Dialogue: Using Calculators to Discover Patterns in Dividing Decimals.
    Susan E. Williams and Juanita V. Copley.
    Mathematics Teaching in the Middle School, April 1994, 1:1, 72-75.
    Grade: 6-8


    Algorithms -- computers/Internet/software/spreadsheets, games/puzzles/toys, hundreds charts/math tables/number lines/10x10 grid/circle charts, geometric shapes, algebra tiles, calculators/graphing calculators, cubes/Unifix cubes, models/simulation

    Making Connections with Prime Numbers.
    Arlene Yolles.
    Mathematics Teaching in the Middle School, October 2001, 7:2, 84-86.
    Grade: 5

    Problems That Encourage Proportion Sense.
    Esther M. H. Billings.
    Mathematics Teaching in the Middle School, September 2001, 7:1, 10-14.
    Grade: Middle

    Creating Connections: Promoting Algebraic Thinking with Concrete Models.
    Michaele F. Chappell and Marilyn E. Strutchens.
    Mathematics Teaching in the Middle School, September 2001, 7:1, 20-25.
    Grade: 7-8

    Algebraic Thinking through Origami.
    William Higginson and Lynda Colgon.
    Mathematics Teaching in the Middle School, February 2001, 6:6, 343-349.
    Grade: Middle

    Calculating First Place: Calculating the Magic Number.
    Robert J. Quinn.
    Mathematics Teaching in the Middle School, October 2000, 6:2, 86-89.
    Grade: Middle

    From Tessellations to Polyhedra: Big Polyhedra.
    Blake E. Peterson.
    Mathematics Teaching in the Middle School, February 2000, 5:6, 348-357.
    Grade: Middle

    Using Dragon Curves to Learn about Length and Area.
    Lyle R. Smith.
    Mathematics Teaching in the Middle School, December 1999, 5:4, 222-223.
    Grade: Middle

    Growth Through Change.
    Lois Van Boening.
    Mathematics Teaching in the Middle School, September 1999, 5:1, 27-33.
    Grade: 4-8

    Multiplication with Fractions: A Piagetian, Constructivist Approach.

    Mary Ann Warrington and Constance Kamii.
    Mathematics Teaching in the Middle School, February 1998, 3:5, 339-343.
    Grade: 5-6

    A Variation on "And the Winner Is…"
    Iris DeLoach Johnson.
    Mathematics Teaching in the Middle School, October 1997, 3:2, 148-152.
    Grade: Middle

    How Children Think about Division with Fractions.
    May Ann Warrington.
    Mathematics Teaching in the Middle School, May 1997, 2:6, 390-394.
    Grade: 5-6

    Mental Computation in the Middle Grades: The Importance of Thinking Strategies.
    Alistair McIntosh, Robert E. Reys, and Barbara J. Reys.
    Mathematics Teaching in the Middle School, March-April 1997, 2:5, 322-327.
    Grade: Middle

    Building Bridges to Algebraic Thinking.
    Roger Day and Graham A. Jones.
    Mathematics Teaching in the Middle School, February 1997, 2:4, 208-212.
    Grade: Middle

    Algebra for Everyone: Start Early.
    Katheryn K. Fouch.
    Mathematics Teaching in the Middle School, February 1997, 2:4, 226-229.
    Grade: 8

    Teaching the Mean Meaningfully.
    John C. Uccellini.
    Mathematics Teaching in the Middle School, November-December 1996, 2:2, 112-115.
    Grade: Middle

    Fraction Flags: Learning from Children to Help Children Learn.
    Tom Kieren, Brent Davis, and Ralph Mason.
    Mathematics Teaching in the Middle School, September-October 1996, 2:1, 14-19.
    Grade: Middle

    Conceptual Understanding and Computational Skill in School Mathematics.
    Thomas R. Scavo and Nora K. Conroy.
    Mathematics Teaching in the Middle School, March-April 1996, 1:9, 684-686.
    Grade: Middle


    Angles -- protractors, compasses, geoboards, miras/mirrors/reflective material, rulers/tape measures/trundle wheels/callipers, tangrams, pattern blocks, candy/food, video technology/multi-media, games/puzzles/toys, computers/Internet/software/spreadsheets, geometric shapes, calculators/graphing calculators, geometric solids/polyhedra/nets, models/simulation, fabrics/beadwork

    Measurement in the Middle Grades.
    Robert Q. Berry III and Joyce Wiggins.
    Mathematics Teaching in the Middle School, November 2001, 7:3, 154-156.
    Grade: Middle

    The Role of Definition.
    Jane M. Keiser.
    Mathematics Teaching in the Middle School, April 2000, 5:8, 506-511.
    Grade: 6

    From Tessellations to Polyhedra: Big Polyhedra.
    Blake E. Peterson.
    Mathematics Teaching in the Middle School, February 2000, 5:6, 348-357.
    Grade: Middle

    Cardboard Tubes Bring Geometry from Home.
    Nakonia Hayes.
    Mathematics Teaching in the Middle School, October 1998, 4:2, 120-122.
    Grade: Middle

    Polygon Capture: A Geometry Game.
    William M. Carroll.
    Mathematics Teaching in the Middle School, October 1998, 4:2, 90-94.
    Grade: 5-6

    Building a Teenage Dance Club.
    Mary Ann Christina.
    Mathematics Teaching in the Middle School, September 1998, 4:1, 26-30.
    Grade: Middle

    "You Are Cleared to Land."

    Rick Billstein.
    Mathematics Teaching in the Middle School, May 1998, 3:7, 452-456.
    Grade: Middle

    Middle School Students' Reasoning about Geometric Situations.

    William M. Carroll.
    Mathematics Teaching in the Middle School, March-April 1998, 3:6, 398-403.
    Grade: 5-8

    Exploring Geometry with Technology.
    Azita Manouchehri, Mary C. Enderson, and Lyle A. Pugnucco.
    Mathematics Teaching in the Middle School, March-April 1998, 3:6, 436-442.
    Grade: 5-8

    Many Faces Have I.
    Joseph T. Zilliox and Shannon G. Lowrey.
    Mathematics Teaching in the Middle School, November-December 1997, 3:3, 180-183.
    Grade: 6

    Encouraging Mathematical Thinking.
    Julianne C. Turner, Karen Rossman Styers, and Debra G. Daggs.
    Mathematics Teaching in the Middle School, September 1997, 3:1, 66-72.
    Grade: 5-8

    Cross-and-Turn Tile Patterns.
    Robert G. Clason, Donna B Ericksen, and Craig S. Ericksen.
    Mathematics Teaching in the Middle School, May 1997, 2:6, 430-437.
    Grade: 5-8

    Covering the Plane with Rep-Tiles.
    Linda S. Fosnaugh and Marvin E. Harrell.
    Mathematics Teaching in the Middle School, January-February 1996, 1:8, 660-670.
    Grade: Middle

    Bringing Geometry into the classroom with Videodisc Technology.
    Linda Zech, Nancy J. Vye, John D. Bransford, Jeff Swink, Cynthia Mayfield-Stewart,Susan R. Goldman, and the Cognition and Technology Group at Vanderbilt University.
    Mathematics Teaching in the Middle School, November-December 1994, 1:3, 228-233.
    Grade: Middle

    Preparing Teachers to Present Techniques of Exploratory Data Analysis.
    Christine A. Browning, Dwayne E. Channell, and Ruth A. Meyer.
    Mathematics Teaching in the Middle School, September-October 1994, 1:2, 166-172.
    Grade: K-4, 5-8


    Area/surface area -- geoboards, color tiles, base-ten blocks, cubes/Unifix cubes, tangrams, pattern blocks, rulers/tape measures/trundle wheels/callipers, fraction models/circles, thermometers, computers/Internet/software/spreadsheets, books/journals/newspapers/portfolios, video technology/multi-media, clocks/stopwatches/calendars, astrolabe, chemical test kits, candy/food, calculators/graphing calculators, protractors, paper/origami/stencil patterns/graph paper, geometric shapes, geometric solids/polyhedra/nets, string/rope, models/simulation, fabrics/beadwork

    By the Unit or Square Unit?
    Bellasanta B. Ferrer, Bobbie Hunter, Kathryn C. Irwin, Maureen J. Sheldon, Charles S.
    Thompson, and Catherine P. Vistro-Yu.
    Mathematics Teaching in the Middle School, November 2001, 7:3, 132-137.
    Grade: Middle

    Developing an Area Formula for a Circle with "Goldilocks and the Three Bears."
    Jerry A Ameis.
    Mathematics Teaching in the Middle School, November 2001, 7:3, 140-142.
    Grade: Middle

    Mathematical Argumentation: Putting Umph into Classroom Discussions.
    Mary Kay Stein.
    Mathematics Teaching in the Middle School, October 2001, 7:2, 110-112.
    Grade: Middle

    Assessing Geometric and Measurement Understanding Using Manipulatives.
    Marilyn E. Strutchens, Kimberly A. Harris, and W. Gary Martin.
    Mathematics Teaching in the Middle School, March 2001, 6:7, 402-405.
    Grade: Middle

    Using Models to Build an Understanding of Functions.
    Kathleen Cramer.
    Mathematics Teaching in the Middle School, January 2001, 6:5, 310-318.
    Grade: Middle

    Problem Solving in the Middle Grades.
    Carol E. Malloy and D. Bruce Guild.
    Mathematics Teaching in the Middle School, October 2000, 6:2, 105-108.
    Grade: Middle

    Choosing Problems with Entry Points for All Students.
    Frances Stern.
    Mathematics Teaching in the Middle School, September 2000, 6:1, 8-11.
    Grade: Middle

    Improving Mathematics Teaching and Learning: How Can Principles and Standards Help?
    Edward A. Silver.
    Mathematics Teaching in the Middle School, September 2000, 6:1, 20-23.
    Grade: 6-8

    Using Dragon Curves to Learn about Length and Area.
    Lyle R. Smith.
    Mathematics Teaching in the Middle School, December 1999, 5:4, 222-223.
    Grade: Middle

    Multiple Interpretations = More Challenges.
    Vicky L. Kouba.
    Mathematics Teaching in the Middle School, December 1999, 5:4, 232-235.
    Grade: Middle

    Problem-Centered Mathematics Teaching.
    Sarah Theule Lubienski.
    Mathematics Teaching in the Middle School, December 1999, 5:4, 250-255.
    Grade: Middle

    Perimeter and Area Through the van Heile Model.
    Carol E. Malloy.
    Mathematics Teaching in the Middle School, October 1999, 5:2, 87-90.
    Grade: Middle

    Perimeter or Area? Which Measure Is It?
    Michaele F. Chappell and Denisse R. Thompson.
    Mathematics Teaching in the Middle School, September 1999, 5:1, 20-23.
    Grade: 6-8

    Reflections on Developing Formal Mathematics and the Connected Mathematics Project.
    Judith S. Zawojewski, Marlene Robinson and Mark Hoover.
    Mathematics Teaching in the Middle School, February 1999, 4:5, 324-330.
    Grade: 6-8

    State-ing the Facts: Exploring the United States.
    Jennifer M. Bay, Ann M. Bledsoe, and Robert E. Reys.
    Mathematics Teaching in the Middle School, September 1998, 4:1, 8-14.
    Grade: Middle

    Building a Teenage Dance Club.
    Mary Ann Christina.
    Mathematics Teaching in the Middle School, September 1998, 4:1, 26-30.
    Grade: Middle

    What is the Score on Scored Discussions?
    Kathleen L. McGrath.
    Mathematics Teaching in the Middle School, September 1998, 4:1, 50-58.
    Grade: 7

    Exploring Geometry with Technology.
    Azita Manouchehri, Mary C. Enderson, and Lyle A. Pugnucco.
    Mathematics Teaching in the Middle School, March-April 1998, 3:6, 436-442.
    Grade: 5-8

    A Plethora of Polyhedra.
    Sue E. Sundberg.
    Mathematics Teaching in the Middle School, March-April 1998, 3:6, 388-391.
    Grade: 5-12

    Mathematical Investigations -- Powerful Learning Situations.
    Suzanne H. Chapin.
    Mathematics Teaching in the Middle School, February 1998, 3:5, 332-338.
    Grade: Middle

    Estimate of the Week.
    Wendy Gulley.
    Mathematics Teaching in the Middle School, February 1998, 3:5, 324-328.
    Grade: Middle

    Encouraging Mathematical Thinking.
    Julianne C. Turner, Karen Rossman Styers, and Debra G. Daggs.
    Mathematics Teaching in the Middle School, September 1997, 3:1, 66-72.
    Grade: 5-8

    Using House Plans to Teach Ratio, Proportion, and More!
    Wanda Weidemann and Jane Braddock Hunt.
    Mathematics Teaching in the Middle School, September 1997, 3:1, 14-18.
    Grade: Middle

    Worthwhile Tasks: Exploring Mathematical Connections through Geometric Solids.
    Daniel J. Brahier and William R. Speer.
    Mathematics Teaching in the Middle School, September 1997, 3:1, 20-28.
    Grade: Middle

    Areas and Brownies.
    C. Kenneth Fan.
    Mathematics Teaching in the Middle School, January 1997, 2:3, 148-153, 160.
    Grade: 6-8

    A Teacher's Views on Classroom Assessment: What & How.
    De A. Tonack.
    Mathematics Teaching in the Middle School, November-December 1996, 2:2, 70-73.
    Grade: Middle

    How Big Was the Roman Empire?
    Camille Baker.
    Mathematics Teaching in the Middle School, March-April 1996, 1:9, 754-759.
    Grade: 6

    The Pond: Doing Research Together.
    Kevin Kinneavy.
    Mathematics Teaching in the Middle School, March-April 1996, 1:9, 696-702.
    Grade: Middle


    Classification/sorting/making sets -- attribute blocks, cubes/Unifix cubes, pattern blocks, tangrams, counters, Cuisenaire rods, geometric solids/polyhedra/nets, money, base-ten blocks, geoboards, fraction models/circles, color tiles, games/puzzles/toys, candy/food, protractors, calculators/graphing calculators, rulers/tape measures/trundle wheels/callipers, garbage, models/simulation, fabrics/beadwork

    Measurement in the Middle Grades.
    Robert Q. Berry III and Joyce Wiggins.
    Mathematics Teaching in the Middle School, November 2001, 7:3, 154-156.
    Grade: Middle

    Geometry in the Middle Grades: From Its Past to the Present.
    Michaele F. Chappell.
    Mathematics Teaching in the Middle School, May 2001, 6:9, 516-519.
    Grade: Middle

    Assessing Geometric and Measurement Understanding Using Manipulatives.
    Marilyn E. Strutchens, Kimberly A. Harris, and W. Gary Martin.
    Mathematics Teaching in the Middle School, March 2001, 6:7, 402-405.
    Grade: Middle

    Counting Attribute Blocks: Constructing Meaning for the Multiplication Principle.
    Elliott Bird.
    Mathematics Teaching in the Middle School, May 2000, 5:9, 568-573.
    Grade: Middle

    Perimeter or Area? Which Measure Is It?
    Michaele F. Chappell and Denisse R. Thompson.
    Mathematics Teaching in the Middle School, September 1999, 5:1, 20-23.
    Grade: 6-8

    Mathematical Connections from Biology: "Killer" Bees Come to Life in the Classroom.
    William L. Rubink and Sylvia R. Taube.
    Mathematics Teaching in the Middle School, March 1999, 4:6, 350-356.
    Grade: Middle

    Developing Conceptual Understanding of Relations and Functions with Attribute Blocks.
    Robert J. Quinn.
    Mathematics Teaching in the Middle School, November-December 1997, 3:3, 186-190.
    Grade: Middle

    Birthdays and the Binary System: A Magical Mixture.
    Karen S. Karp and Robert N. Ronau.
    Mathematics Teaching in the Middle School, September 1997, 3:1, 6-12.
    Grade: Middle

    Students' Construction of Formulas in Context.
    Martin van Reeuwijk and Monica Wijens.
    Mathematics Teaching in the Middle School, February 1997, 2:4, 230-236.
    Grade: 5-8

    Areas and Brownies.
    C. Kenneth Fan.
    Mathematics Teaching in the Middle School, January 1997, 2:3, 148-153, 160.
    Grade: 6-8

    Data With Snap, Crackle, and Pop.
    Elaine B. Hofstetter and Laura A. Sgroi.
    Mathematics Teaching in the Middle School, March-April 1996, 1:9, 760-764.
    Grade: 6-7

    How Big Was the Roman Empire?
    Camille Baker.
    Mathematics Teaching in the Middle School, March-April 1996, 1:9, 754-759.
    Grade: 6

    Making House Plans.
    David Hanson and Serra Boranbay.
    Mathematics Teaching in the Middle School, January-March 1995, 1:4, 296-297.
    Grade: 7

    Preparing Teachers to Present Techniques of Exploratory Data Analysis.
    Christine A. Browning, Dwayne E. Channell, and Ruth A. Meyer.
    Mathematics Teaching in the Middle School, September-October 1994, 1:2, 166-172.
    Grade: K-4, 5-8


    Coordinate geometry -- geoboards, computers/Internet/software/spreadsheets, base-ten blocks, Cuisenaire rods, fraction models/circles

    Ordered-Pair Relations -- a Performance Assessment.
    Robert M. Allen.
    Mathematics Teaching in the Middle School, November 1999, 5:3, 190-194.
    Grade: Middle


    Constructions &emdash; compasses, protractors, rulers/tape measures/trundle wheels/calipers, miras/mirrors/reflective material

    No Middle School References


    Counting/skip-counting/one-to-one correspondence -- cubes/Unifix cubes, counters, Cuisenaire rods, spinners, dice/number cubes, money, calculators/graphing calculators, hundreds charts/math tables/number lines/10x10 grid/circle charts, geometric solids/polyhedra/nets, attribute blocks, string/rope, color tiles, games/puzzles/toys, clocks/stopwatches/calendars, rulers/straightedges/tape measures/meter sticks/trundle wheels/callipers, capacity containers, books/journals/newspapers/portfolios

    Promoting Algebraic Reasoning Using Students' Thinking.
    Joyce W. Bishop, Albert D. Otto, and Cheryl A. Lubinski.
    Mathematics Teaching in the Middle School, May 2001, 6:9, 508-514.
    Grade: 7

    The Inka Quipu: Positional Notation on a Knotted Cord.
    Claudia Zaslavksy with Bianka Crespo.
    Mathematics Teaching in the Middle School, November 2000, 6:3, 164-166, 180-184.
    Grade: Middle

    Connecting Integers to Meaningful Contexts.
    Mathematics Teaching in the Middle School, September 2000, 6:1, 62-66.
    Grade: Middle

    Teaching Algebra in the Middle Grades Using Mathmagic.
    Hari P. Koirala and Phillip M. Goodwin.
    Mathematics Teaching in the Middle School, May 2000, 5:9, 562-566.
    Grade: 5-6

    Counting Attribute Blocks: Constructing Meaning for the Multiplication Principle.
    Elliott Bird.
    Mathematics Teaching in the Middle School, May 2000, 5:9, 568-573.
    Grade: Middle

    Socrates and the Three Little Pigs: Connecting Patterns, Counting Trees, and Probability.
    Denisse R. Thompson and Richard A. Austin.
    Mathematics Teaching in the Middle School, November 1999, 5:3, 156-161.
    Grade: 7

    Counting Grass.
    Catherine Little.
    Mathematics Teaching in the Middle School, September 1999, 5:1, 7-10.
    Grade: 8

    Capture and Recapture Your Students' Interest in Statistics.
    June G. Morita.
    Mathematics Teaching in the Middle School, March 1999, 4:6, 412-418.
    Grade: Middle

    Mathematics Fitness.
    Kathleen A. Trezise.
    Mathematics Teaching in the Middle School, May 1998, 3:7, 458-462.
    Grade: 5-9

    How Many Blocks?
    Michael T. Battista.
    Mathematics Teaching in the Middle School, March-April 1998, 3:6, 404-411.
    Grade: 5-8

    Building Equations Using M&M's.
    Victoria Borlaug.
    Mathematics Teaching in the Middle School, February 1997, 2:4, 290-292.
    Grade: Middle

    The Function Game.
    Rheta N. Rubenstein.
    Mathematics Teaching in the Middle School, November-December 1996, 2:2, 74-78.
    Grade: 7-8

    Our Diets May Be Killing Us.
    Brenda K. J. Shannon.
    Mathematics Teaching in the Middle School, April-May 1995, 1:5, 376-382.
    Grade: 6-7

    Promoting Problem-Solving Expertise.
    Carolyn M. Richbart and Lynn A. Richbart.
    Mathematics Teaching in the Middle School, January-March 1995, 1:4, 310-316.
    Grade: 5-8

    A Conceptual Model for Solving Percent Problems.
    Albert B. Bennett, Jr. and L. Ted Nelson.
    Mathematics Teaching in the Middle School, April 1994, 1:1, 20-25.
    Grade: Middle

    Choice and Chance in Life: The Game of "Skunk."
    Dan Brutlag.
    Mathematics Teaching in the Middle School, April 1994, 1:1, 28-33.
    Grade: Middle
     

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    Updated 9-1-03