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Mathematics as a constructive activity : learners generating examples

Author: Anne Watson; John Mason
Publisher: Mahwah, N.J. : Lawrence Erlbaum Associates, 2005.
Series: Studies in mathematical thinking and learning.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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 can develop and extend knowledge structures.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Watson, Anne, 1948-
Mathematics as a constructive activity.
Mahwah, N.J. : Lawrence Erlbaum Associates, 2005
(DLC) 2004050657
(OCoLC)55286381
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Anne Watson; John Mason
ISBN: 1410613712 9781410613714
OCLC Number: 70787941
Description: 1 online resource (xiv, 228 pages) : illustrations.
Contents: Preface; 1 Introduction to Exemplification in Mathematics; 2 Learner-Generated Examples in Classrooms; 3 From Examples to Example Spaces; 4 The Development of Learners' Example Spaces; 5 Pedagogical Tools for Developing Example Spaces; 6 Strategies for Prompting and Using Learner-Generated Examples; 7 Mathematics as a Constructive Activity; Appendix A: Some Historical Remarks on Teaching by Examples; Appendix B: Suggestions About Some of the Tasks; References; Author Index; Subject Index.
Series Title: Studies in mathematical thinking and learning.
Responsibility: Anne Watson, John Mason.

Abstract:

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 can develop and extend knowledge structures.

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