## An Exploratory Study of the Use of Problem Solving Heuristics in the Playing of Games Involving Mathematics |

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### Contents

REVIEW OF THE RELATED LITERATURE | 7 |

The Use of Heuristics in the Playing of Games | 38 |

DESIGN AND CONDUCT OF THE STUDIES | 50 |

6 other sections not shown

### Common terms and phrases

001 WRITELN agreement ratio Algorithmic alpha-beta pruning BECIN checklist Coder coding system computer program Correlation Matrix current position deduction by analysis deduction by synthesis Dissertation Abstracts International Doctoral dissertation Educational Testing Service EECIN EEGIN effects of games examined Factor Factor Analysis FRCK game tree games involving mathematics games on mathematics he/she Heuristic Player heuristic processes HP KCVES HP MOVES HP's indicate KOVE marks remaining mathematical problem mathematics education MCVE NIM variants node novice problem solvers numerical patterns playing the games playing the NIM Polya problem solving heuristics protocols random trial related problem result rows with marks simulate solution solving in mathematics Soviet studies standard deviations state-space subgoals subjects in Cluster subjects in Study systematic trial task traditional mathematical trial and error University Microfilms University of Wisconsin-Madison winning positions winning strategy WRITEC