The Legacy of Hans Freudenthal

Editors: Streefland, Leen (Ed.)

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About this book

The Legacy of Freudenthal pays homage to Freudenthal and his work on mathematics, its history and education. Almost all authors were his scholars or co-workers. They testify to what they learned from him. Freudenthal himself contributes posthumously. His didactical phenomenology of the concept of force is both provocative and revealing in its originality, compared with what is usually found in physics instruction.
Freudenthal is portrayed as a universal human being by Josette Adda. He made considerable contributions to mathematics itself, e.g. on homotopy theory and Lie groups in geometry. The exposition of Freudenthal's mathematical life and work is on Van Est's account. Henk Bos discusses his historical work. The essay review of the 8th edition of Hilbert's Grundlagen der Geometrie serves as a vehicle of thought. The main part of the book, however, concerns Freudenthal's work on mathematics education. Christine Keitel reviews his final book Revisiting Mathematics Education (1991). Fred Goffree describes Freudenthal's `Working on Mathematics Education' both from an historical as well as a theoretical perspective. Adrian Treffers analyses Freudenthal's influence on the development of realistic mathematics education at primary level in the Netherlands, especially his influence on the Wiskobas-project of the former IOWO. Freudenthal once predicted the disappearance of mathematics as an individual subject in education sometime around the year 2000, because it would by then have merged with integrated thematic contexts. Jan de Lange anticipates this future development and shows that Freudenthal's prediction will not come true after all. Reflective interludes unveil how he might have influenced those developments.
Freudenthal contributed a wealth of ideas and conceptual tools to the development of mathematics education -- on contexts, didactical phenomenology, guided reinvention, mathematisation, the constitution of mental objects, the development of reflective thinking, levels in learning processes, the development of a mathematical attitude and so on -- but he did not design very much concrete material. Leen Streefland deals with the question of design from a theoretical point of view, while applying Freudenthal's ideas on changing perspective and shifting.
For teachers, researchers, mathematics educators, mathematicians, educationalists, psychologists and policy makers.

Table of contents (9 chapters)

  • Une Lumière S’est Éteinte H. Freudenthal — Homo Universalis

    Adda, Josette

    Pages 9-19

    Preview Buy Chapter 30,19 €
  • HF: Working on Mathematics Education

    Goffree, Fred

    Pages 21-49

    Preview Buy Chapter 30,19 €
  • ‘The Bond with Reality is Cut’ — Freudenthal on the Foundations of Geometry Around 1900

    Bos, Henk J. M.

    Pages 51-58

    Preview Buy Chapter 30,19 €
  • Hans Freudenthal

    Est, W. T.

    Pages 59-69

    Preview Buy Chapter 30,19 €
  • Thoughts on Teaching Mechanics Didactical Phenomenology of the Concept of Force

    Freudenthal, Hans

    Pages 71-87

    Preview Buy Chapter 30,19 €

Buy this book

eBook 101,14 €
price for Spain (gross)
  • ISBN 978-94-017-3377-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-0-7923-2653-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 124,79 €
price for Spain (gross)
  • ISBN 978-90-481-4354-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Legacy of Hans Freudenthal
Editors
  • Leen Streefland
Copyright
1993
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-3377-9
DOI
10.1007/978-94-017-3377-9
Hardcover ISBN
978-0-7923-2653-3
Softcover ISBN
978-90-481-4354-2
Edition Number
1
Number of Pages
VIII, 164
Topics