Mathematics Galore!

James Tanton is the founding director of the St Mark's Institute of Mathematics, an outreach program designed to promote joyful and effective mathematics education. He is a full-time high school teacher at St Mark's School, Southborough, MA, and he conducts mathematics graduate courses for teachers through Northeastern University's School of Education.

A variety of mathematical activities from a teacher who believes that intellectual play is key to mathematics education.

Introduction; Newsletters and commentaries; 1. Arctangents; 2. Benford's Law; 3. Braids; 4. CLIP Theory; 5. Dots and dashes; 6. Factor trees; 7. Folding fractions and conics; 8. Folding patterns and dragons; 9. Folding and pouring; 10. Fractions; 11. Integer triangles; 12. Lattice polygons; 13. Layered tilings; 14. The middle of a triangle; 15. Partitions; 16. Personalized polynomials; 17. Playing with Pi; 18. Pythagoras's Theorem; 19. On reflection; 20. Repunits and primes; 21. The Stern-Brocot Tree; 22. Tessellations; 23. Theon's ladder and squangular numbers; 24. Tilings and theorems; 25. The Tower of Hanoi; 26. Weird multiplication; Appendices: 1. Numbers that are the sum of two squares; 2. Pick's theorem; 3. The Mobius function; 4. The Borsuk-Ulam theorem; 5. Galilean ratios; 6. A candy-sharing game; 7. Bending Buffon's needle; 8. On separating dots; Indexes: 1. Index of terms; 2. Index of topics; 3. Classic theorems proved.