Proof and Proving in Mathematics Education: The 19th ICMI StudyGila Hanna, Michael de Villiers Springer Science & Business Media, 14 ביוני 2012 - 475 עמודים *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as:
The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms. |
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Experimentation Challenges and Opportunities | 67 |
Historical and Educational Perspectives of Proof | 144 |
Proof in the School Curriculum | 258 |
Argumentation and Transition to Tertiary Level | 347 |
Lessons from the Eastern Cultural Traditions | 421 |
Proof and Proving in Mathematics Education | 441 |
Acknowledgements | 442 |
Proof and Proving in Mathematics Education Discussion Document Gila Hanna Michael de Villiers Ferdinando Arzarello Tommy Dreyfus Viviane D... | 443 |
Table of Contents | 453 |
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