Networking of Theories as a Research Practice in Mathematics Education

  • Angelika Bikner-Ahsbahs
  • Susanne Prediger

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Angelika Bikner-Ahsbahs, Susanne Prediger, Michèle Artigue, Ferdinando Arzarello, Marianna Bosch, Tommy Dreyfus et al.
      Pages 3-12
  3. Diversity of Theories

    1. Front Matter
      Pages 29-29
    2. Ferdinando Arzarello, Cristina Sabena
      Pages 31-45
    3. Michèle Artigue, Mariam Haspekian, Agnès Corblin-Lenfant
      Pages 47-65
    4. Marianna Bosch, Josep Gascón
      Pages 67-83
    5. Tommy Dreyfus, Ivy Kidron
      Pages 85-96
    6. Angelika Bikner-Ahsbahs, Stefan Halverscheid
      Pages 97-113
  4. Case Studies of Networking

    1. Front Matter
      Pages 115-115
    2. Susanne Prediger, Angelika Bikner-Ahsbahs
      Pages 117-125
    3. Tommy Dreyfus, Cristina Sabena, Ivy Kidron, Ferdinando Arzarello
      Pages 127-151
    4. Ivy Kidron, Michèle Artigue, Marianna Bosch, Tommy Dreyfus, Mariam Haspekian
      Pages 153-177
    5. Cristina Sabena, Ferdinando Arzarello, Angelika Bikner-Ahsbahs, Ingolf Schäfer
      Pages 179-200
    6. Angelika Bikner-Ahsbahs, Michèle Artigue, Mariam Haspekian
      Pages 201-221
  5. Reflections

    1. Front Matter
      Pages 223-223
    2. Angelika Bikner-Ahsbahs, Susanne Prediger
      Pages 235-247
    3. Michèle Artigue, Marianna Bosch
      Pages 249-265
    4. Kenneth Ruthven
      Pages 267-279
  6. Back Matter
    Pages 287-329

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.


Abstraction in Context (AiC) Action, Production and Communication Theory (APC) Anthropological Theory of the Didactic (ATD) Connecting math education theories Diversity of didactical theories in math education Epistemic processes in mathematics education Interest Dense Situation Theory (IDS) Networking as research practice Networking theories in mathematics education Semiotic resources in the classroom Social interactions in mathematics classes Theory of Didactical Situations (TDS) Topaze effect

Editors and affiliations

  • Angelika Bikner-Ahsbahs
    • 1
  • Susanne Prediger
    • 2
  1. 1.Fachbereich 03 für Mathematik und Informatik, AG Didaktik der MathematikUniversity of BremenBremenGermany
  2. 2.Institute for Development and Research in Mathematics EducationTU Dortmund UniversityDortmundGermany

Bibliographic information