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The First Five Years of the St. Mark's Institute of Mathematics

Series:

Classroom Resource Materials

Author:

James Tanton, St Mark's Institute of Mathematics, Southborough, Massachusetts

Published:

September 2012

Availability:

This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.

Format:

Hardback

ISBN:

9780883857762

£45.99

GBP

Hardback

Description

The author of this book believes that there is too much rote learning and not enough creative exploration in mathematical education. To remedy this he has produced a book that promotes intellectual play and adaptability of thought by engaging the reader in mathematical activities. Twenty-six chapters examine a wide variety of mathematical teasers and problems and the mathematics behind them is explained and proved via natural and accessible means. This is an excellent recreational maths book that also serves as a source of inspiration for teachers of mathematics. Pick and read essays in no particular order and enjoy the mathematical stories that unfold. Be inspired for your courses, your math clubs and your math circles, and enjoy for yourself the bounty of additional research questions and intriguing puzzles that lie within.

Problems vary in their mathematical sophistication
A wide variety of topics are covered

Product details

Published: September 2012
Format: Hardback
ISBN: 9780883857762
Length: 285 pages
Dimensions: 260 × 181 × 20 mm
Weight: 0.65kg
Availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.

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Contents

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 Möbius 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.

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About the authors

Author

James Tanton , St Mark's Institute of Mathematics, Southborough, Massachusetts
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.

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