© 2018

Advances in Mathematics Education Research on Proof and Proving

An International Perspective

  • Andreas J. Stylianides
  • Guershon Harel


  • Presents an extensive survey of international perspectives on proof and proving students’ mathematics progress

  • Serves as a comprehensive volume addressing a wide range of issues related to proof and proving in mathematics education research

  • Offers important insights into the difficulties faced by students and teachers in this area


Part of the ICME-13 Monographs book series (ICME13Mo)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Epistemological Issues Related to Proof and Proving

  3. Classroom-Based Issues Related to Proof and Proving

  4. Cognitive and Curricular Issues Related to Proof and Proving

  5. Issues Related to the Use of Examples in Proof and Proving

    1. Front Matter
      Pages 223-223

About this book


This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area.

The book is organized around the following four themes, which reflect the breadth of issues addressed in the book:

•    Theme 1: Epistemological issues related to proof and proving;
•    Theme 2: Classroom-based issues related to proof and proving;
•    Theme 3: Cognitive and curricular issues related to proof and proving; and
•    Theme 4: Issues related to the use of examples in proof and proving.

Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.


Epistemology Reasoning learning mathematics teaching mathematics classroom work international mathematics mathematics educators mathematical reasoning

Editors and affiliations

  • Andreas J. Stylianides
    • 1
  • Guershon Harel
    • 2
  1. 1.Faculty of EducationUniversity of CambridgeCambridgeUnited Kingdom
  2. 2.Department of MathematicsUniversity of California San DiegoLa JollaUSA

Bibliographic information


“The contents cover new trends and developments in mathematics education on proof and proving. … will give readers an idea of what can be found in this volume.” (Annie Selden, MAA Reviews, March 29, 2019)