Proof and Proving in Mathematics Education [electronic resource] : The 19th ICMI Study

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Tác giả: Michael de Villiers, Gila Hanna

Ngôn ngữ: eng

ISBN-13: 978-9400721296

Ký hiệu phân loại: 370 Education

Thông tin xuất bản: Dordrecht : Springer Netherlands : Imprint: Springer, 2012

Mô tả vật lý: XII, 476 p. , online resource.

Bộ sưu tập: Tài liệu truy cập mở

ID: 170216

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 potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades.   The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. 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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