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Proof and Proving in Mathematics Education

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Cover of 'Proof and Proving in Mathematics Education'

Table of Contents

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    Book Overview
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    Chapter 1 Aspects of Proof in Mathematics Education
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    Chapter 2 Cognitive Development of Proof
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    Chapter 3 Theorems as Constructive Visions
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    Chapter 4 Exploratory Experimentation: Digitally-Assisted Discovery and Proof
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    Chapter 5 Experimental Approaches to Theoretical Thinking: Artefacts and Proofs
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    Chapter 6 Why Proof? A Historian’s Perspective
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    Chapter 7 Conceptions of Proof – In Research and Teaching
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    Chapter 8 Forms of Proof and Proving in the Classroom
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    Chapter 9 The Need for Proof and Proving: Mathematical and Pedagogical Perspectives
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    Chapter 10 Contemporary Proofs for Mathematics Education
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    Chapter 11 Proof, Proving, and Teacher-Student Interaction: Theories and Contexts
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    Chapter 12 From Exploration to Proof Production
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    Chapter 13 Principles of Task Design for Conjecturing and Proving
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    Chapter 14 Teachers’ Professional Learning of Teaching Proof and Proving
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    Chapter 15 Argumentation and Proof in the Mathematics Classroom
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    Chapter 16 Examining the Role of Logic in Teaching Proof
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    Chapter 17 Transitions and Proof and Proving at Tertiary Level
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    Chapter 18 Using Documents from Ancient China to Teach Mathematical Proof
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    Chapter 19 Proof in the Western and Eastern Traditions: Implications for Mathematics Education
Attention for Chapter 2: Cognitive Development of Proof
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Citations

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Chapter title
Cognitive Development of Proof
Chapter number 2
Book title
Proof and Proving in Mathematics Education
Published by
Springer, Dordrecht, January 2011
DOI 10.1007/978-94-007-2129-6_2
Book ISBNs
978-9-40-072128-9, 978-9-40-072129-6
Authors

David Tall, Oleksiy Yevdokimov, Boris Koichu, Walter Whiteley, Margo Kondratieva, Ying-Hao Cheng, Tall, David, Yevdokimov, Oleksiy, Koichu, Boris, Whiteley, Walter, Kondratieva, Margo, Cheng, Ying-Hao

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 69 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 2 3%
Colombia 1 1%
South Africa 1 1%
Brazil 1 1%
Unknown 64 93%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 15 22%
Lecturer 13 19%
Student > Master 10 14%
Professor 4 6%
Student > Doctoral Student 4 6%
Other 13 19%
Unknown 10 14%
Readers by discipline Count As %
Mathematics 28 41%
Social Sciences 18 26%
Computer Science 4 6%
Arts and Humanities 3 4%
Psychology 3 4%
Other 2 3%
Unknown 11 16%