- 1. "The Heart of Mathematics: An invitation to effective thinking", with Michael Starbird, published by Key College Press and Springer-Verlag in December 1999; Second Edition 2004.
- 2. "Exploring the Number Jungle: A Journey into Diophantine Analysis", published by the American Mathematical Society in the new Student Mathematical Library Series, in July 2000. A sample can be downloaded from the book's web site at the AMS (click on the title). It's the first mathematics book to have a "magic" 3-D stereogram cover. Here is the cover.
- 3. "Thinkwell's Beginning Algebra", online video textbook. Published by www.thinkwell.com, 2004.
- 4. "Thinkwell's Intermediate Algebra", online video textbook. Published by www.thinkwell.com, 2001.
- 5. "Thinkwell's College Algebra", online video textbook. Published by www.thinkwell.com, 2000.
- 6. "Thinkwell's Precalculus", online video textbook. Published by www.thinkwell.com, 2000.
- 7. "Thinkwell's Calculus", online video textbook. Published by www.thinkwell.com, 2001.
- 8. "Thinkwell's Trigonometry", online video textbook. Published by www.thinkwell.com, 2006.
- 9. "Thinkwell's Prealgebra", online video textbook. Published by www.thinkwell.com, 2007.
- 10. "The Joy of Thinking: The Beauty and Power of Classical Mathematical Ideas", a 24-lecture video series with Michael Starbird. Produced by The Teaching Company. 2003.
- 11. "Precalculus: A Multimedia Course", a video high school "textbook" published by Holt, Rinehart and Winston (see page 58 in their catalogue), 2004.
- 12. "Calculus: A Multimedia Course", a video high school "textbook" published by Holt, Rinehart and Winston (see page 58 in their catalogue), 2004.
- 13. "Making Transcendence Transparent: An intuitive approach to classical transcendental number theory", with Robert Tubbs, published by Springer-Verlag, 2004.
- 14. "Coincidences, Chaos, and All That Math Jazz: Making light of weighty ideas", with Michael Starbird, published by W.W. Norton & Company, 2005 (paperback edition, 2006); to appear in Bulgarian, Chinese, German, Italian, Japanese, Korean, Portuguese, and Thai.
- 15. "Extending the Frontiers of Mathematics: Inquires into proof and argumentation", published by Key College Publishing and Springer-Verlag, 2006; John Wiley & Sons, 2010.
- 16-18. "Middle School Mathematics", (three texts with an associated series of mathematics videos) Holt McDougal, 2007 and 2010.
- 19-21. "High School Mathematics", (Holt Agebra I, Geometry, and Algebra II with an associated series of mathematics videos) Holt, Rinehart and Winston, 2007 and 2010.
- 22. "Zero to Infinity: A History of Numbers", a 24-lecture video series. Produced by The Teaching Company, 2007.
- 23. " Wie man den Jackpot knackt: Zufall, Wahrscheinlichkeit und all der Zauber mit Zahlen", with Michael Starbird, published by Rowohlt Verlag, 2007.
- 24. "An Introduction to Number Theory", a 24-lecture video series. Produced by The Teaching Company, 2008.
- 25. "The Heart of Mathematics: An invitation to effective thinking, 3rd Edition", with Michael Starbird, published by John Wiley & Sons, 2010.
- 26-28. Thinkwell's "Grade 6 Math"; "Grade 7 Math"; "Grade 8 Math", three online video textbooks. Published by www.thinkwell.com, 2010.
- 29-31. "Fuse Algebra 1"; "Fuse Geometry"; "Fuse Algebra 2", The first school-level core apps developed exclusively for the Apple iPad. Published by Houghton Mifflin Harcourt, 2010, 2011.
- 32. "The 5 Elements of Effective Thinking", with Michael Starbird, published by Princeton University Press, 2012.