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  • © 2005

Activity and Sign

Grounding Mathematics Education

  • Covers recent approaches to foundations of mathematics education is a most extensive way and opens up new horizons for future developments in mathematics education
  • Elaborates new perspectives in classroom interactions and highlights the role of signs and representations as means for communication, learning, and scientific discoveries
  • Focuses on Michael Otte’s various contributions as sparks for a new source of knowledge in all these fields
  • Includes supplementary material: sn.pub/extras

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Table of contents (31 chapters)

  1. Front Matter

    Pages I-VII
  2. Grounding Mathematics Education

    • Michael H. G. Hoffmann, Johannes Lenhard, Falk Seeger
    Pages 1-7
  3. Mathematics, Sign and Activity

    • Michael Otte
    Pages 9-22
  4. Sign Processes

    1. Signs as Means for Discoveries

      • Michael H. G. Hoffmann
      Pages 45-56
    2. Diagrammatic Thinking

      • Willibald Dörfler
      Pages 57-66
  5. Sign Processes in the Mathematics Classroom

    1. Semiotic Mediation in the Primary School

      • Maria G. Bartolini Bussi, Maria Alessandra Mariotti, Franca Ferri
      Pages 77-90
    2. The Semiotics of the Schema

      • Luis Radford
      Pages 137-152
  6. Mathematics Education as a Science

    1. The Formal, The Social and the Subjective

      • Roland Fischer
      Pages 169-178
  7. Crossing Boundaries

    1. Reflective Learning

      • Bernd Fichtner
      Pages 179-190
    2. Thinking and Knowing About Knowledge

      • Rainer Bromme
      Pages 191-201
    3. The Cognitive Unconscious

      • Thomas Mies
      Pages 203-214
  8. History of Mathematics and Mathematics Education

    1. Hilbert, Weyl, and the Philosophy of Mathematics

      • Hans Niels Jahnke
      Pages 215-228

About this book

The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community’s ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte’s thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future.

This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent mathematics – depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.

Editors and Affiliations

  • Georgia Institute of Technology, USA

    Michael H.G. Hoffmann

  • University of Bielefeld, Germany

    Johannes Lenhard, Falk Seeger

Bibliographic Information

  • Book Title: Activity and Sign

  • Book Subtitle: Grounding Mathematics Education

  • Editors: Michael H.G. Hoffmann, Johannes Lenhard, Falk Seeger

  • DOI: https://doi.org/10.1007/b105055

  • Publisher: Springer New York, NY

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

  • Copyright Information: Springer-Verlag US 2005

  • Hardcover ISBN: 978-0-387-24269-9Published: 04 March 2005

  • Softcover ISBN: 978-1-4419-3711-7Published: 29 October 2010

  • eBook ISBN: 978-0-387-24270-5Published: 06 December 2005

  • Edition Number: 1

  • Number of Pages: VIII, 392

  • Topics: Mathematics Education, Philosophy, general, History of Science

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
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