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    Mathematical Chess
    Mathematical Chess
    Mathematical Chess
    Ebook87 pages31 minutes

    Mathematical Chess

    By Dr George Ho

    ()

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    About this ebook

    Mathematical chess is a two-player educational and entertaining game played on ten digit pieces (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and six operator pieces (addition, subtraction, multiplication, division, power, and root). The chessboard is a grid made up of nine vertical and nine horizontal lines. It is flexible and suitable for all students from middle and high schools to universities.

    The excessive use of electronic calculators and games has caused a negative impact on the alertness of the minds and the numerical abilities of students at all levels. Dr Ryan said, In numeracy, the young teenage student in 2003 was approximately a quarter of a grade level behind his or her counterpart in 1964. This was reported in the article Grade Worse Than in 1960s (SMH, 11 February 2008).

    Students love challenges and competitions. Dr Robert C. Ferguson writes, A learning environment organised around games has a positive effect on students attitudes towards learning (Teachers Guide: Research and Benefits of Chess, 11 October 2006).

    The above statements drive the implementation of this mathematical chess game. Like European chess and Chinese chess, mathematical chess teaches strategy planning, problem-solving, memory improvement, decision-making, concentration, perseverance, observation, analysis, and organisation skill. Mathematical chess itself also promotes numerical abilities, mental alertness, and speedy calculation.

    The numeracy performance of students in many countries has not improved since 1960, not because of the incompetence of the teachers, but because an educational game interesting and challenging enough to attract students attention did not exist. Mathematical chess can help resolve this drawback.

    The authors dream is to see mathematical chess become a popular game in all middle and high schools, and to see the love and passion of mathematics flowering in the minds of young people around the world.
    LanguageEnglish
    PublisherXlibris AU
    Release dateJun 28, 2017
    ISBN9781543401622
    Mathematical Chess
    Author

    Dr George Ho

    Dr George holds a Bachelor of mathematics (1965) and a Doctorate es Sciences (March 1975) at the University of Sciences in Saigon, Vietnam. He spent 7 years in high school teaching mathematics for Year 12 students (1962-1969). He came to Australia in 1980 and finished the Graduate Diploma in Data Processing with Distinction at the NSW Institute of Technology, Sydney, in 1982. His last position was as a project leader at the Credit Reference Association of Australia (CRAA). He retired in 2006.

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      Book preview

      Mathematical Chess - Dr George Ho

      Copyright © 2017 by Dr George Ho.

      All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner.

      Any people depicted in stock imagery provided by Thinkstock are models, and such images are being used for illustrative purposes only.

      Certain stock imagery © Thinkstock.

      Rev. date: 07/12/2017

      Xlibris

      1-800-455-039

      www.Xlibris.com.au

      762579

      Contents

      Chapter 1: Chess Components

      Objectives

      Chessboard

      Chess Pieces

      Digit Pieces

      Operator Pieces

      Chapter 2: Initial Chess Display

      Phase 1: ‘Select now!’ Phase

      Step 1: The Four Conditions

      Step 2: Levels of Difficulty

      Remarks

      Phase 2: ‘Prepare now!’ Phase

      Step 1: Placing the Operator Pieces

      Step 2: Placing the Digit Pieces

      Remarks

      Phase 3: ‘Play now!’ Phase

      Samples of Initial Chess Displays

      Chapter 3: Chess Definitions

      Operator Pair

      Digit Pair

      Attached Digits

      Partial Sums

      Partial Differences

      Partial Products

      Partial Quotients

      Partial Powers

      Partial Roots

      Table of Squares, Cubes, and Roots

      Single Attached Digit

      Chapter 4: Mathematical Chess Rules

      R01: One Move in a Turn

      R02: Power of the Operator Piece

      R03: Rule of Two Alone Digit Pieces on a Line.

      R04: Rule of the Operator Pair.

      R05: Rule of the Digit Pair

      R06: Rule of the Partial Values

      R07: Multiple Removals from the Operator Pieces

      R08: Extended Effect of the Operator Pieces

      R09: Removals from the Digit Pieces

      R10: Multiple Removals from the Digit Pieces

      R11: Extended Effect of the Digit Pieces

      R12: Removals without Moving

      The Importance of the Digit Piece 0

      a) For the Addition Operator

      b) For the Subtraction Operator

      c) For the Multiplication Operator

      d) For the Division Operator

      e) For the Power Operator

      f) For the Root Operator

      How Does a Mathematical Chess Game Finish?

      Flexibility of the Mathematical Chess

      Conclusion

      My Dream

      About the Author

      To my wife, C.T.N. Minh, for her support, patience, and inspiration.

      To my children, H.T.M. Tam, H.H. Hiep, H.H. Tri, and H.T.M. Chau.

      In memory of my beloved parents, H.V. Gia and T.T. Tong.

      H.V. Hoa

      Preface

      Mathematical chess is a two-player educational and entertaining game played on ten digit pieces (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and six operator pieces (addition, subtraction, multiplication, division, power, and root). The default chessboard is a grid made up of nine vertical and nine horizontal lines equally separated.

      A chess piece can move freely on any horizontal or vertical line provided it is not obstructed by other chess pieces. A move of a chess piece can result in the removal of the opponent’s digit

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