ICME-13 Monographs

Advances in Mathematics Education Research on Proof and Proving

An International Perspective

Editors: Stylianides, Andreas J., Harel, Guershon (Eds.)

  • 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
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eBook 74,96 €
price for Spain (gross)
  • ISBN 978-3-319-70996-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-319-70995-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

Table of contents (20 chapters)

  • Reflections on Proof as Explanation

    Hanna, Gila

    Pages 3-18

  • Working on Proofs as Contributing to Conceptualization—The Case of IR Completeness

    Durand-Guerrier, Viviane (et al.)

    Pages 19-34

  • Types of Epistemological Justifications, with Particular Reference to Complex Numbers

    Harel, Guershon

    Pages 35-47

  • Mathematical Argumentation in Elementary Teacher Education: The Key Role of the Cultural Analysis of the Content

    Boero, Paolo (et al.)

    Pages 49-67

    Preview Buy Chapter 30,19 €
  • Toward an Evolving Theory of Mathematical Practice Informing Pedagogy: What Standards for this Research Paradigm Should We Adopt?

    Weber, Keith (et al.)

    Pages 69-82

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-3-319-70996-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-319-70995-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Mathematics Education Research on Proof and Proving
Book Subtitle
An International Perspective
Editors
  • Andreas J. Stylianides
  • Guershon Harel
Series Title
ICME-13 Monographs
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-70996-3
DOI
10.1007/978-3-319-70996-3
Hardcover ISBN
978-3-319-70995-6
Series ISSN
2520-8322
Edition Number
1
Number of Pages
XI, 301
Number of Illustrations and Tables
48 b/w illustrations
Topics