Math Without Borders is an ongoing project to supplement some of the best high school math textbooks
with Home Study Companions, to make them useful for homeschoolers and adults for self-teaching.

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The challenge facing homeschool students and adults studying mathematics at home is that mathematics textbooks are not designed to be used alone. A lot goes on in a good math class besides reading the text and doing problem sets. Textbooks are designed to be taught by an experienced teacher. A good teacher should be able to:

• give an overview of the subject to "put the text in context."
• model the thinking skills and strategies that go into analysis and problem solving.
• illustrate, demonstrate, and clarify (as well as prove) the underlying concepts.
• point out links between different parts of the subject and applications beyond what is in the text.

Rather than start from scratch with yet another textbook, I decided to start with the best existing textbooks and provide the kinds of additional support for home study students that a good teacher would provide in a classroom. The texts I have chosen for this project (selected based on ~30 years of teaching experience) are:

Algebra I: Expressions, Equations, and Applications, by Paul A. Foerster
Geometry-A Guided Inquiry, by G. D. Chakerian, Calvin D. Crabill, and Sherman K. Stein
Algebra and Trigonometry: Functions and Applications, by Paul A. Foerster

Some people have asked about prerequisites for algebra. See the Links page for suggested resources.

Home Study Companion - Algebra I
Whiteboard video lessons covering the "classroom presentation" portion of a full high school
Algebra I course based on Algebra I: Expressions, Equations, and Applications by Paul Foerster
Review by HomeschoolMath.net

Home Study Companion - Geometry
Includes a solution manual, commentary, extensions, and nearly 300 dynamic demonstrations
using ^®The Geometer's Sketchpad designed to accompany the exceptional text,
Geometry: A Guided Inquiry, by G.D. Chakerian, Calvin D. Crabill, and Sherman K. Stein.
New: A complete video solution guide to the Review section of each chapter.
Review by HomeschoolMath.net

Home Study Companion - Algebra II with Trigonometry
Whiteboard video lessons covering the "classroom presentation" portion of a full high school
Algebra II course based on Algebra and Trigonometry: Functions and Applications by Paul Foerster
(Also included are problem-solving sessions for selected problems from each problem set)

Email: david@mathwithoutborders.com / Toll-Free Fax: (800) 517-2947

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^®The Geometer's Sketchpad is a registered trademark of Key Curriculum Press.