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Networking of Theories as a Research Practice in Mathematics Education

  • Book
  • © 2014

Overview

Editors:
  1. Angelika Bikner-Ahsbahs

    1. Fachbereich 03 für Mathematik und Informatik, AG Didaktik der Mathematik, University of Bremen, Bremen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Susanne Prediger

    1. Institute for Development and Research in Mathematics Education, TU Dortmund University, Dortmund, Germany

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    You can also search for this editor in PubMed   Google Scholar

  • First volume to empirically connect various didactical theories through five different theoretical lenses
  • Presents networking as a research practice in four comprehensible case studies
  • Offers reflection on networking practices from different perspectives
  • With critical comments from Kenneth Ruthven and Luis Radford
  • Unique collaboration between internationally renowned specialist in the field

Part of the book series: Advances in Mathematics Education (AME)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introduction

    1. Front Matter

      Pages 1-1
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    2. Starting Points for Dealing with the Diversity of Theories

      • Angelika Bikner-Ahsbahs, Susanne Prediger, Michèle Artigue, Ferdinando Arzarello, Marianna Bosch, Tommy Dreyfus et al.
      Pages 3-12

    3. Description of the Data: Introducing the Session of Carlo, Giovanni, and the Exponential Function

      • Cristina Sabena
      Pages 13-28

  3. Diversity of Theories

    1. Front Matter

      Pages 29-29
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    2. Introduction to the Approach of Action, Production, and Communication (APC)

      • Ferdinando Arzarello, Cristina Sabena
      Pages 31-45

    3. Introduction to the Theory of Didactical Situations (TDS)

      • Michèle Artigue, Mariam Haspekian, Agnès Corblin-Lenfant
      Pages 47-65

    4. Introduction to the Anthropological Theory of the Didactic (ATD)

      • Marianna Bosch, Josep Gascón
      Pages 67-83

    5. Introduction to Abstraction in Context (AiC)

      • Tommy Dreyfus, Ivy Kidron
      Pages 85-96

    6. Introduction to the Theory of Interest-Dense Situations (IDS)

      • Angelika Bikner-Ahsbahs, Stefan Halverscheid
      Pages 97-113

  4. Case Studies of Networking

    1. Front Matter

      Pages 115-115
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    2. Introduction to Networking: Networking Strategies and Their Background

      • Susanne Prediger, Angelika Bikner-Ahsbahs
      Pages 117-125

    3. The Epistemic Role of Gestures: A Case Study on Networking of APC and AiC

      • Tommy Dreyfus, Cristina Sabena, Ivy Kidron, Ferdinando Arzarello
      Pages 127-151

    4. Context, Milieu, and Media-Milieus Dialectic: A Case Study on Networking of AiC, TDS, and ATD

      • Ivy Kidron, Michèle Artigue, Marianna Bosch, Tommy Dreyfus, Mariam Haspekian
      Pages 153-177

    5. The Epistemological Gap: A Case Study on Networking of APC and IDS

      • Cristina Sabena, Ferdinando Arzarello, Angelika Bikner-Ahsbahs, Ingolf Schäfer
      Pages 179-200

    6. Topaze Effect: A Case Study on Networking of IDS and TDS

      • Angelika Bikner-Ahsbahs, Michèle Artigue, Mariam Haspekian
      Pages 201-221

  5. Reflections

    1. Front Matter

      Pages 223-223
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    2. Beyond the Official Academic Stage. Dialogic Intermezzo

      • Stefan Halverscheid
      Pages 225-233

    3. Networking as Research Practices: Methodological Lessons Learnt from the Case Studies

      • Angelika Bikner-Ahsbahs, Susanne Prediger
      Pages 235-247

    4. Reflection on Networking Through the Praxeological Lens

      • Michèle Artigue, Marianna Bosch
      Pages 249-265
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Keywords

About this book

How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them.

The book explains and illustrates what it means to network theories; it presents networking as a challenging but fruitful research practice and shows how the Group dealt with this challenge considering five theoretical approaches, namely the approach of Action, Production, and Communication (APC), the Theory of Didactical Situations (TDS), the Anthropological Theory of the Didactic (ATD), the approach of Abstraction in Context (AiC), and the Theory of Interest-Dense Situations (IDS).

A synthetic presentation of each theory and their connections shows how the activity of networking generates questions at the theoretical, methodological and practical levels and how the work on these questions leads to both theoretical and practical progress. The core of the book consists of four new networking case studies which illustrate what exactly can be gained by this approach and what kind of difficulties might arise.

Reviews

“The Networking Theories Group has produced a highly commendable book for anyone interested in theories in mathematics education. … for those with an open mind and willingness to make this effort, a lot could be learned. … this book is a forerunner for more such work, not only on networking but also on the emergence of new theories or development of existing ones.” (Arthur Bakker, Educational Studies in Mathematics, Vol. 93, 2016)

Editors and Affiliations

  • Fachbereich 03 für Mathematik und Informatik, AG Didaktik der Mathematik, University of Bremen, Bremen, Germany

    Angelika Bikner-Ahsbahs

  • Institute for Development and Research in Mathematics Education, TU Dortmund University, Dortmund, Germany

    Susanne Prediger

Bibliographic Information

  • Book Title: Networking of Theories as a Research Practice in Mathematics Education

  • Editors: Angelika Bikner-Ahsbahs, Susanne Prediger

  • Series Title: Advances in Mathematics Education

  • DOI: https://doi.org/10.1007/978-3-319-05389-9

  • Publisher: Springer Cham

  • eBook Packages: Humanities, Social Sciences and Law, Education (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-05388-2Published: 04 September 2014

  • Softcover ISBN: 978-3-319-38070-4Published: 11 September 2016

  • eBook ISBN: 978-3-319-05389-9Published: 25 August 2014

  • Series ISSN: 1869-4918

  • Series E-ISSN: 1869-4926

  • Edition Number: 1

  • Number of Pages: XII, 329

  • Number of Illustrations: 124 b/w illustrations

  • Topics: Mathematics Education, Epistemology, International and Comparative Education

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