Volume 15 2012

Proof and Proving in Mathematics Education

The 19th ICMI Study

Editors:

ISBN: 978-94-007-2128-9 (Print) 978-94-007-2129-6 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xii

  2. No Access

    Book Chapter

    Pages 1-10

    Aspects of Proof in Mathematics Education

  3. Proof and cognition

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-49

      Cognitive Development of Proof

    3. No Access

      Book Chapter

      Pages 51-66

      Theorems as Constructive Visions

  4. Experimentation: Challenges and opportunities

    1. Front Matter

      Pages 67-67

    2. No Access

      Book Chapter

      Pages 69-96

      Exploratory Experimentation: Digitally-Assisted Discovery and Proof

    3. No Access

      Book Chapter

      Pages 97-143

      Experimental Approaches to Theoretical Thinking: Artefacts and Proofs

  5. Historical and educational perspectives of proof

    1. Front Matter

      Pages 145-145

    2. No Access

      Book Chapter

      Pages 147-167

      Why Proof? A Historian’s Perspective

    3. No Access

      Book Chapter

      Pages 169-190

      Conceptions of Proof – In Research and Teaching

    4. No Access

      Book Chapter

      Pages 191-213

      Forms of Proof and Proving in the Classroom

    5. No Access

      Book Chapter

      Pages 215-229

      The Need for Proof and Proving: Mathematical and Pedagogical Perspectives

    6. No Access

      Book Chapter

      Pages 231-257

      Contemporary Proofs for Mathematics Education

  6. Proof in the school curriculum

    1. Front Matter

      Pages 259-259

    2. No Access

      Book Chapter

      Pages 261-277

      Proof, Proving, and Teacher-Student Interaction: Theories and Contexts

    3. No Access

      Book Chapter

      Pages 279-303

      From Exploration to Proof Production

    4. No Access

      Book Chapter

      Pages 305-325

      Principles of Task Design for Conjecturing and Proving

    5. No Access

      Book Chapter

      Pages 327-346

      Teachers’ Professional Learning of Teaching Proof and Proving

  7. Argumentation and transition to tertiary level

    1. Front Matter

      Pages 347-347

    2. No Access

      Book Chapter

      Pages 349-367

      Argumentation and Proof in the Mathematics Classroom

    3. No Access

      Book Chapter

      Pages 369-389

      Examining the Role of Logic in Teaching Proof

    4. No Access

      Book Chapter

      Pages 391-420

      Transitions and Proof and Proving at Tertiary Level

  8. Lessons from the Eastern cultural traditions

    1. Front Matter

      Pages 421-421

    2. No Access

      Book Chapter

      Pages 423-429

      Using Documents from Ancient China to Teach Mathematical Proof

    3. No Access

      Book Chapter

      Pages 431-440

      Proof in the Western and Eastern Traditions: Implications for Mathematics Education

  9. Back Matter

    Pages 443-475