Includes bibliographical references (pages 213-221) and indexes.
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.
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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.