Mathematics as a Constructive Activity (Studies in Mathematical Thinking and Learning Series) - Softcover

Book 8 of 46: Studies in Mathematical Thinking and Learning

Watson, Anne; Mason, John

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9780805843446: Mathematics as a Constructive Activity (Studies in Mathematical Thinking and Learning Series)
Softcover
ISBN 10: 0805843442 ISBN 13: 9780805843446
Publisher: Routledge, 2005

Synopsis

This book explains and demonstrates the teaching strategy of asking learners to construct their own examples of mathematical objects. The authors show that the creation of examples can involve transforming and reorganizing knowledge and that, although this is usually done by authors and teachers, if the responsibility for making examples is transferred to learners, their knowledge structures can be developed and extended. A multitude of examples to illustrate this is provided, spanning primary, secondary, and college levels. Readers are invited to learn from their own past experience augmented by tasks provided in the book, and are given direct experience of constructing examples through a collection of many tasks at many levels. Classroom stories show the practicalities of introducing such shifts in mathematics education. The authors examine how their approach relates to improving the learning of mathematics and raise future research questions.

*Based on the authors' and others' theoretical and practical experience, the book includes a combination of exercises for the reader, practical applications for teaching, and solid scholarly grounding.
*The ideas presented are generic in nature and thus applicable across every phase of mathematics teaching and learning.
*Although the teaching methods offered are ones that engage learners imaginatively, these are also applied to traditional approaches to mathematics education; all tasks offered in the book are within conventional mathematics curriculum content.

Mathematics as a Constructive Activity: Learners Generating Examples is intended for mathematics teacher educators, mathematics teachers, curriculum developers, task and test designers, and classroom researchers, and for use as a text in graduate-level mathematics education courses.

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About the Author

Anne Watson, John Mason

"About this title" may belong to another edition of this title.

Publisher
Routledge
Publication date
2005
Language
English
ISBN 10 
0805843442
ISBN 13 
9780805843446
Binding
Paperback
Edition number
1
Number of pages
242
Rating
  • 4.00 out of 5 stars
    5 ratings by Goodreads

Other Popular Editions of the Same Title

9780805843439: Mathematics as a Constructive Activity (Studies in Mathematical Thinking and Learning Series)

Featured Edition

ISBN 10:  0805843434 ISBN 13:  9780805843439
Publisher: Routledge, 2005
Hardcover