Table of contents

  1. Front Matter
    Pages i-vi
  2. Angelika Bikner-Ahsbahs
    Pages 1-2 Open Access
  3. Angelika Bikner-Ahsbahs, Andreas Vohns
    Pages 3-11 Open Access
  4. Willi Dörfler
    Pages 21-31 Open Access
  5. Angelika Bikner-Ahsbahs
    Pages 33-42 Open Access
  6. Angelika Bikner-Ahsbahs, Andreas Vohns
    Pages 43-44 Open Access
  7. Back Matter
    Pages 45-51

About this book


This survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s. Two theory strands are offered: a semiotic view related to Peirce and Wittgenstein (presented by Willibald Dörfler), and the theory of learning activity by Joachim Lompscher (presented by Regina Bruder and Oliver Schmitt). By networking the two theoretical approaches in a case study of learning fractions, it clarifies the nature of the two theories, how they can be related to inform practice and renew TME-issues for mathematics education as a scientific discipline. Hans-Georg Steiner initiated the first of five international conferences on Theories of Mathematics Education (TME) to advance the founding of mathematics education as a scientific discipline, and subsequently German researchers have continued to focus on TME topics but within various theory strands.


Theories of Mathematics Education Theories Learning Activity Activity Theory Semiotics Wittgenstein Peirce Networking of Theories

Authors and affiliations

  • Angelika Bikner-Ahsbahs
    • 1
  • Andreas Vohns
    • 2
  • Oliver Schmitt
    • 3
  • Regina Bruder
    • 4
  • Willi Dörfler
    • 5
  1. 1.Faculty of Mathematics and Information TechnologyUniversity of BremenBremenGermany
  2. 2.Department of Mathematics EducationAlpen-Adria-Universität KlagenfurtKlagenfurtAustria
  3. 3.Fachbereich Mathematik, AG 22Technical University DarmstadtDarmstadtGermany
  4. 4.Fachbereich MathematikTechnical University DarmstadtDarmstadtGermany
  5. 5.Institut für Didaktik der MathematikAlpen-Adria-Universität Klagenfurt Institut für Didaktik der MathematikKlagenfurtAustria

Bibliographic information

  • DOI
  • Copyright Information The Editor(s) (if applicable) and The Author(s) 2016
  • License CC BY
  • Publisher Name Springer, Cham
  • eBook Packages Education
  • Print ISBN 978-3-319-42588-7
  • Online ISBN 978-3-319-42589-4
  • Series Print ISSN 2366-5947
  • Series Online ISSN 2366-5955
  • Buy this book on publisher's site