## The Open-Ended Approach: A New Proposal for Teaching MathematicsJerry P. Becker, Shigeru Shimada Research into problem solving and higher-order thinking skills in school mathematics was being addressed in Japan as early as the 1970's. Although this book clearly addresses the important aspects of problem solving, it also has implications for improving assessment in problem solving. The first phase of Japanese research on the open-ended approach to teaching mathematics is also discussed. This book contains seven chapters which include: (1) "The Significance of an Open-Ended Approach"; (2) "An Example of Lesson Plan Development"; (3) "Developing Lesson Plans"; (4) "Examples of Teaching in Elementary Schools"; (5) "Examples of Teaching in the Lower Secondary Schools"; (6) "Examples of Teaching in the Upper Secondary Schools"; and (7) "Round-Table Discussions To Review the Project". (ASK) |

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### Contents

An Example of Lesson Development | 10 |

Developing Lesson Plans | 23 |

Examples of Teaching in Elementary Schools | 36 |

Copyright | |

3 other sections not shown

### Common terms and phrases

according algebraic expressions angle axiomatic system base chapter Chiba University circumcenter classified column commutative law consider constant Context The problem dents diagonal discover Elementary School evaluate Examples of expected expected responses flask Fukui University further development graphs help students understand ideas identity element intersection inverse element learning linear functions Lower Secondary School marathon race mathematics education methods natural numbers number of draws number of games number of losses number of positive number of responses number of students number of wins observed open-ended approach open-ended problems parallel Pascal's triangle Pedagogical context possible proposition ranking rectangle respect Responses and Discussion sequence shape Shimada side slope solid square stage straight line summarize teacher theorem thinking topic total number triangle Upper Secondary School viewpoints water surface water-flask problem winning ratio worksheets write y-intercept Yamagata Yamagata University