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Mathematics As A Constructive Activity Learners Generating Examples »

Book cover image of Mathematics As A Constructive Activity Learners Generating Examples by Anne Watson

Authors: Anne Watson, John H. Mason
ISBN-13: 9780805843439, ISBN-10: 0805843434
Format: Hardcover
Publisher: Taylor & Francis, Inc.
Date Published: May 2005
Edition: (Non-applicable)

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Author Biography: Anne Watson

Book Synopsis

Watson (Oxford U.) and Mason (Open U.) examine teaching techniques which actively engage learners, enhancing their sophistication and deepening their understanding, revealing their depths, making them accept initiative in finding and applying deeper concepts, and enriching enjoyment of mathematical structures and connections. They give examples used in classrooms, then "example spaces" specifically for learners to explore, then the tools teachers need to help learners develop those "example spaces" and strategies for prompting learners to generate them. They close with a very useful chapter for those seeking to justify expansion of programs that examines the constructive activities of mathematics, including its ability to teach how to learn, how to build evidence, and construct outcomes. Annotation ©2005 Book News, Inc., Portland, OR

Table of Contents

1Introduction to exemplification in mathematics1
2Learner-generated examples in classrooms10
3From examples to example spaces33
4The development of learners' example spaces59
5Pedagogical tools for developing example spaces92
6Strategies for prompting and using learner-generated examples133
7Mathematics as a constructive activity160
App. ASome historical remarks on teaching by examples197

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