A Concrete Approach to the Architecture of
Mathematics
Collected papers of Zoltan P.
Dienes
Edited by
Michael O. J. Thomas
B5,
348pp ISBN
978-0-473-15317-5
Published by the Mathematics Education Unit, The
University of Auckland, NZ.
This book contains a collection of
the most recent ideas for learning mathematics from Zoltan Paul Dienes, one of
the outstanding contributors to the field of mathematics education over the
last 50 years. He writes in the introduction to this new book ÒI have been
thinking that it is time to put together some of the ideas that I have evolved
about mathematics and about how it is best approached. I thought that one way
of doing this would be to put together some of my writings of the past decade
or soÉI donÕt really think you need to have any pre-knowledge of mathematics to
read my various contributions...All my contributions are full of practical
things that you can do, indeed that you would be advised to do, if you want to
get the best out of what I have providedÉI think I have managed to leave
behind, as a swan song, a more complete account of what I have considered
important, even exciting, for living this short life of ours! I hope you will
find some excitement, some beauty and perhaps even some mathematics in what
follows. Good hunting!Ó
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CONTENTS |
I am sure you will valuable
ideas in this publication and hope that it will find its way into your
library and, more importantly, into the hands of your students. Mike Thomas
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Foreword |
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Introduction |
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1. Mathematics Everywhere!—A Poem |
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2. Mathematical Fun Without Numbers, Letters, Formulae or Equations—Part I |
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3. Mathematical Fun—Part II |
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4. Mathematical Fun—Part III |
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5. Mathematical Fun—Part IV Five Colours |
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6. Mathematical Fun—Part V Two-Colour Sliding |
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7. Mathematical Fun—Part VI Sequences Using Three Strips |
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8. Strips for a Two Dimensional Space Based on the Eight and the Nine Element Fields |
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9. Circular Villages Part One |
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10. Circular Villages Part Two |
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11. Magic Polygons |
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12. How to Make Infinity Intelligible |
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13. Six Stages with Rational Numbers |
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14. Points, Lines and Spaces |
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15. Playful Logic |
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16. Games to Amuse |
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17. Cube Cards |
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18. Introducing the Tetrahedron |
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19. What Can You Do With Odd Numbers? |
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20. Cyclic
Nightmare |
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21. Measure |
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22. Some Problems With Logic Blocks |
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23. Using Algebra to Solve a Problem |
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24. Some Reflections on Order and Density—A ChildÕs Path to the Bolzano-Weierstrass Theorem |
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25. A Learning Game |
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26. Mathematics as an Art Form: An Essay About Communicating Mathematics to Non-Mathematicians |
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27. Collected Poems |
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28. Peace Poems |
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29. Conversations with God |
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Cost NZ$45 per book + NZ$6
p&p |
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Name:
_______________________________________________________ Institution:
____________________________________________________ Contact details:
________________________________________________ Number of Books
______ Cost _______ Payment: cheque* __ invoice** __ Post to Mike Thomas, Mathematics Department,
Auckland University, PB92019, Auckland, NZ OR email moj.thomas@auckland.ac.nz with
orders. *Cheques payable to ÔAuckland UniservicesÕ
please. ** Institutions only |
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Sample pages: