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  • Book
  • Open Access
  • © 2019

Traditions in German-Speaking Mathematics Education Research

  • Is an Open Access book

  • Provides an overview of the development of German mathematics education in the course of 40 years

  • Highlights the far-reaching changes from a traditional approach to an empirically based and theory-guided discipline

  • Brings together mathematics scholars from a range of different areas

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii
  2. Educational Research on Mathematics—A Short Survey of Its Development in German Speaking Countries

    • Uwe Gellert, Lisa Hefendehl-Hebeker, Hans Niels Jahnke, Timo Leuders
    Pages 1-23Open Access
  3. Subject-Matter Didactics

    • Lisa Hefendehl-Hebeker, Rudolf vom Hofe, Andreas Büchter, Hans Humenberger, Axel Schulz, Sebastian Wartha
    Pages 25-59Open Access
  4. Design Science and Design Research: The Significance of a Subject-Specific Research Approach

    • Marcus Nührenbörger, Bettina Rösken-Winter, Michael Link, Susanne Prediger, Anna Susanne Steinweg
    Pages 61-89Open Access
  5. Mathematical Modelling

    • Katrin Vorhölter, Gilbert Greefrath, Rita Borromeo Ferri, Dominik Leiß, Stanislaw Schukajlow
    Pages 91-114Open Access
  6. Mathematics and Bildung 1810 to 1850

    • Hans Niels Jahnke
    Pages 115-140Open Access
  7. Theories of and in Mathematics Education

    • Angelika Bikner-Ahsbahs, Andreas Vohns
    Pages 171-200Open Access
  8. Classroom Studies—Sociological Perspectives

    • Uwe Gellert, Götz Krummheuer
    Pages 201-222Open Access
  9. Educational Research on Learning and Teaching Mathematics

    • Timo Leuders, Andreas Schulz
    Pages 223-247Open Access
  10. Large-Scale Studies in Mathematics Education Research

    • Kristina Reiss, Andreas Obersteiner, Aiso Heinze, Ursula Itzlinger-Bruneforth, Fou-Lai Lin
    Pages 249-278Open Access

About this book

This open access book shares revealing insights into the development of mathematics education research in Germany from 1976 (ICME 3 in Karlsruhe) to 2016 (ICME 13 in Hamburg). How did mathematics education research evolve in the course of these four decades? Which ideas and people were most influential, and how did German research interact with the international community?

These questions are answered by scholars from a range of fields and in ten thematic sections: (1) a short survey of the development of educational research on mathematics in German speaking countries (2) subject-matter didactics, (3) design science and design research, (4) modelling, (5) mathematics and Bildung 1810 to 1850, (6) Allgemeinbildung, Mathematical Literacy, and Competence Orientation (7) theory traditions, (8) classroom studies, (9) educational research and (10) large-scale studies. During the time span presented here, profound changes took place in German-speaking mathematics education research. Besides the traditional fields of activity like subject-matter didactics or design science, completely new areas also emerged, which are characterized by various empirical approaches and a closer connection to psychology, sociology, epistemology and general education research.

Each chapter presents a respective area of mathematics education in Germany and analyzes its relevance for the development of the research community, not only with regard to research findings and methods but also in terms of interaction with the educational system. One of the central aspects in all chapters concerns the constant efforts to find common ground between mathematics and education. In addition, readers can benefit from this analysis by comparing the development shown here with the mathematical education research situation in their own country.


  • mathematics education
  • design science
  • subject-matter didactics
  • Allgemeinbildung and Mathematical Literacy
  • education research in mathematics
  • large-scale studies in mathematics
  • theories in mathematics education
  • mathematics theory traditions
  • mathematics in German
  • Traditions in mathematics education
  • mathematics education research
  • Didactic of mathematics in Germany
  • Design research
  • subject-specific research
  • mathematical modelling
  • learning and teaching mathematics
  • mathematics classroom studies
  • Open Access


“The true strength of this work is that it brings together some of the top and most recognized mathematics education researchers from German-speaking countries to display German mathematics education research to an international audience.” (Wes Maciejewski, MAA Reviews, July 08, 2019)

Editors and Affiliations

  • Faculty of mathematics, University of Duisburg-Essen, Essen, Germany

    Hans Niels Jahnke, Lisa Hefendehl-Hebeker

Bibliographic Information

Buy it now

Buying options

Hardcover Book USD 59.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access