How to Get
Some of My Publications

A book on math pedagogy, co-authored with Robin Pemantle, featuring instructional ideas based on student intellectual engagement and skilled teacher leadership. We offer a philosophical framework and practical suggestions on just about every aspect of the job: problem solving, manipulatives, technology, lesson planning, group work, classroom discussion, how to reach the full range of students, and so on.

There Is No One Way to Teach Math:
Actionable Ideas for Grades 6-12.

On this site:

About Teaching

Until January 31, 2025: 20% off with code SMA24

A manipulatives-based algebra program, to be used as part of, or in preparation for any algebra course: the Lab Gear. The following items are available from Didax:

Algebra Lab Gear: Basic Algebra

Algebra Lab Gear: Algebra 1

Classroom Set

Student Pair Set

10 Corner Pieces

On this site:

Lab Gear professional development videos

Information about the Lab Gear (many links!)
- Errata in the Algebra Lab Gear books

The Algebra Lab: High School (1990 book)
Available free for your non-commercial use.

Math lessons through geometric puzzles, grades 4-10:

Working with Pentominoes

On this site:

Pentominoes home page

Geometric Puzzles home page

An algebra textbook and accompanying materials
by Anita Wah and Henri Picciotto:

Algebra: Themes, Tools, Concepts (ATTC, 1994)

ATTC on line, in color and searchable

ATTC Teachers' Edition

ATTC Teacher Resources

More info and sample lessons

See also:

More on algebra

A manipulatives-based geometry program, to be used as part of or in preparation for any geometry course:

Geometry Labs (1999)

See below for some of the associated manipulatives.

See also:

Tangram Puzzles

More on geometry

A book of puzzles and activities on grid paper:

Polyomino Lessons (1986)

See also:

Geometric Puzzles in the Classroom

Three books of pentomino puzzles:

Pentomino Puzzle Books

See also:

Geometric Puzzles home page

All these books are free downloads for your non-commercial use.

See below for the Supertangram books.

These are companion manipulatives to Geometry Labs.

Geometry Labs Template

Eight different triangles, ten different quadrilaterals, seven different regular polygons, all the pattern blocks. Perfect for exploring tessellations. Centimeter and inch rulers, unmarked protractor. Can be put in a 3-ring binder. See it as a PDF.

CircleTrig Geoboard

On one side, an 11 by 11 geoboard. On the other, a circle geoboard, with radius 10 cm, and a 360° protractor.

On this site:

The 10-cm Circle

Geoboard activities

A book of hands-on lessons using models in the Zome System,
by George W. Hart and Henri Picciotto:

Zome Geometry (2000)

On the Web: see George's site.

I sell plastic supertangrams.
More info: Supertangrams home page.

On this site:

My supertangram books can be downloaded here,
for your non-commercial use.

See also: Supertangram Labs.

Articles in The Mathematics Teacher:

"Why I Use Interactive Whiteboards" (The Mathematics Teacher, November 2010.)

"A New Path to the Quadratic Formula" (The Mathematics Teacher, February 2008).
On this site: Parabolas and Quadratics

With Jonathan Choate, "Iterating Linear Functions" (February 1997), an introduction to dynamical systems.

"Make These Designs", an electronic graphing lesson on linear functions (May 1996).

Also: Delving into Functions with Function Diagrams in NCTM's online journal ON-Math (Volume 5, #1, 2006-2007).

On this site: Function Diagrams