148 Pages
English
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The Play's the Thing

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148 Pages
English

Description

Presents 18 mathematical games and develops the concepts of game analysis and winning strategies.


The book presents 18 games and develops the concepts of game analysis and winning strategies. Students are encouraged to play these mathematical games together, collect data developed through their play, and analyze the data to develop a winning strategy. The book provides the basis for a six- to eight-week unit on mathematical games. Each chapter also functions as a self-contained and independent exploration so that selected chapters may be used as supplementary classroom investigations or as independent projects. The book includes both familiar games (such as Quadrangles and Nim) and many others that will be new and exciting to most readers. Through the exploration of mathematical games, ‘The Play’s the Thing’ introduces teachers and students to the fun of play and to the mathematics behind the fun.


Acknowledgements; Prologue: To the Teacher; Act 0: To the Student; Act 1: Blockers; Act 2: Nimble; Act 3: More Variations; Act 4: Take Away 1, 2, 3; Act 5: Two Piles:  A Hidden Game; Act 6: Two Piles 1, 2, 3; Act 7: Nim; Act 8: Flit; Act 9: Mr Flit; Act 10: Landis; Act 11: Add’em Up; Act 12: Connect-the-Dots; Act 13: Boxes; Act 14: Hold That Line; Act 15: The Fifteen Game; Act 16: Sliders; Act 17: Lynch; Act 18: Progression: Down and Up; Act 19: Harder Stuff; Answers

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Informations

Published by
Published 01 February 2011
Reads 0
EAN13 9780857288714
Language English
Document size 2 MB

Legal information: rental price per page 0.0038€. This information is given for information only in accordance with current legislation.

Exrait

The Play’s the Thing
The Play’s the Thing
Mathematical Games for the Classroom and Beyond
Alan Lipp
Anthem Press An imprint of Wimbledon Publishing Company www.anthempress.com
This edition rst published in UK and USA 2011 by ANTHEM PRESS 75-76 Blackfriars Road, London SE1 8HA, UK or PO Box 9779, London SW19 7ZG, UK and 244 Madison Ave. #116, New York, NY 10016, USA
Copyright © Alan Lipp 2011
The author asserts the moral right to be identied as the author of this work.
All rights reserved. Without limiting the rights under copyright reserved above, no part of this publication may be reproduced, stored or introduced into a retrieval system, or transmitted, in any form or by any means (electronic, mechanical, photocopying, recording or otherwise), without the prior written permission of both the copyright owner and the above publisher of this book.
British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library.
Library of Congress Cataloging in Publication Data Lipp, Alan. The plays the thing : mathematical games for the classroom and beyond / Alan Lipp. p. cm. ISBN 978-0-85728-666-6 (papercover : alk. paper) 1. Mathematical recreations. 2. MathematicsStudy and teaching. I. Title. QA95.L764 2011 510.71 dc22 2010051140
ISBN-13: 978 0 85728 666 6 (Pbk) ISBN-10: 0 85728 666 8 (Pbk)
This title is also available as an eBook.
Dedication
To my brother Michael who rst taught me to love mathematics, and to my father Sunny who taught me to love teaching.
The Acts
Acknowledgments
Prologue To the Teacher
Act 0
Act 1
Act 2
Act 3
Act 4
Act 5
To the Student
Blockers Act 1 Exercises
Nimble Act 2 Exercises
More Variations Act 3 Exercises
Take Away 1, 2, 3 Looking for a Strategy Act 4 Exercises
Two Piles: A Hidden Game Scene 1 Scene 2 Scene 3 Scene 3 Exercises
vii
x
i
xiii
xv
1 2
5 6
9 10
13 13 14
17 17 17 18 19
viii
Act 6
Act 7 Act 8
Act 9
Act 10
Act 11
Two Piles 1, 2, 3 Scene 1 Scene 2 Scene 2 Exercises Scene 3 Scene 3 Exercises Scene 4 Scene 4 Exercises Scene 5 Scene 5 Exercises
Nim Scene 1 Scene 1 Exercises Scene 2 Scene 2 Exercises Scene 3 Scene 3 Exercises Bouton’s Strategy
Flit Act 8 Exercises
Mr Flit Scene 1 Scene 1 Exercises Scene 2 Scene 2 Exercises
Landis Act 10 Exercises
Add’em Up Act 11 Exercises
The Play’s the Thing
21 21 21 22 22 23 23 23 24 26
29 29 30 30 31 32 33 35
37 38
41 41 42 42 43
47 48
51 52
The Acts
Act 12
Act 13
Act 14
Act 15
Act 16
Act 17
Act 18
Act 19
Answers
ConnecttheDots Act 12 Exercises
Boxes Act 13 Exercises
Hold That Line Act 14 Exercises
The Fifteen Game Act 15 Exercises
Sliders Act 16 Exercises
Lynch Act 17 Exercises
Progression: Down and Up Scene 1: Going Down Scene 1 Exercises Scene 2: Growing Up Scene 2 Exercises Scene 3: Staircase Scene 3 Exercises
Harder Stuff Scene 1: Nimble Scene 2: Variations of Take Away 1, 2, 3 Scene 3: Blockers Scene 4: Take Away 1, 2, 3 Scene 5: Two Piles 1, 2, 3 Scene 6: Nim Scene 7: Flit
ix
55 55
59 60
65 66
69 70
73 75
76 78
81 81 82 83 83 85 85
87 87 89 89 90 90 92 94
9
7