Strategy Games to Enhance Problem-Solving Ability in Mathematics

133 Pages·2017·1.91 MB·English

by  Dr Alfred S Posamentier

Strategy Games to Enhance
Problem-Solving Ability
in Mathematics
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Problem Solving in Mathematics and Beyond
Series Editor: Dr. Alfred S. Posamentier
Chief Liaison for International Academic Affairs
Professor Emeritus of Mathematics Education
CCNY - City University of New York
Long Island University
1 University Plaza -- M101
Brooklyn, New York 11201
Published
Vol. 1 Problem-Solving Strategies in Mathematics:
From Common Approaches to Exemplary Strategies
by Alfred S. Posamentier and Stephen Krulik
Vol. 3 Problems for Metagrobologists: A Collection of Puzzles with Real
Mathematical, Logical or Scientific Content
by David Singmaster
Vol. 4 Mathematics Problem-Solving Challenges for Secondary School
Students and Beyond
by David Linker and Alan Sultan
Vol. 5 Strategy Games to Enhance Problem-Solving Ability in Mathematics
by Alfred S. Posamentier and Stephen Krulik
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Problem Solving in me05
Mathematics and Beyond Volu
Strategy Games to Enhance
Problem-Solving Ability
in Mathematics
Alfred S. Posamentier
Long Island University, New York, USA
Stephen Krulik
Temple University, Philadelphia, USA
World Scientific
NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI • TOKYO
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Published by
World Scientific Publishing Co. Pte. Ltd.
5 Toh Tuck Link, Singapore 596224
USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601
UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
Library of Congress Cataloging-in-Publication Data
Names: Posamentier, Alfred S. | Krulik, Stephen.
Title: Strategy games to enhance problem-solving ability in mathematics /
Alfred S. Posamentier (Long Island University, USA), Stephen Krulik
(Temple University, USA).
Description: New Jersey : World Scientific, 2016. | Series: Problem solving
in mathematics and beyond ; volume 5
Identifiers: LCCN 2016034583 | ISBN 9789813146334 (hc : alk. paper) |
ISBN 9789813146341 (pbk : alk. paper)
Subjects: LCSH: Games of strategy (Mathematics) | Games in mathematics education. |
Mathematics--Study and teaching.
Classification: LCC QA270 .P67 2016 | DDC 519.3--dc23
LC record available at https://lccn.loc.gov/2016034583
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
Copyright © 2017 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known or to be invented, without written permission from the publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance
Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy
is not required from the publisher.
Desk Editors: V. Vishnu Mohan/Tan Rok Ting
Typeset by Stallion Press
Email: [email protected]
Printed in Singapore
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Strategy Games to Enhance Problem-Solving Ability in Mathematics
We dedicate this book of mathematical problem-solving techniques to
our future generations so that they will be among the multitude that we
hope will learn to love mathematics for its power and beauty!
To our children and grandchildren, whose future is unbounded
Lisa, Daniel, David, Lauren, Max, Samuel, Jack and Charles.
— Alfred S. Posamentier
Nancy, Dan, Jeff, Amy, Amanda, Ian, Sarah, and Emily
— Stephen Krulik
v
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b2530 International Strategic Relations and China’s National Security: World at the Crossroads
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Strategy Games to Enhance Problem-Solving Ability in Mathematics
Contents
About the Authors ix
Chapter 1 An Introduction to Strategy Games 1
Chapter 2 Tic-Tac-Toe Games 9
Chapter 3 Blocking Games 23
Chapter 4 Games Requiring an Ongoing Change of Strategies 37
Chapter 5 Miscellaneous Strategy Games 51
Chapter 6 Suggestions and Strategies for Selected Games 71
Appendix Game Boards for Various Strategy Games 93
Index 117
vii
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