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.
A Note to Mac Users
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 - 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)
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.
Review by HomeschoolMath.net
(Home Study Companion - Geometry does not consist of video lessons.
This video is for demo purposes only.)
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.
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