All Positive Action Starts with Criticism

Hans Freudenthal and the Didactics of Mathematics

Authors: la Bastide-van Gemert, Sacha

  • Historical analysis of Hans Freudenthal's didactical ideas and didactical career
  • Provides a historiography of 'genuine' mathematics and 'realistic' mathematics
  • Gives a bibliographic account of Freudenthal's working life
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eBook 107,09 €
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  • ISBN 978-94-017-9334-6
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Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-94-017-9333-9
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Softcover 135,19 €
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  • ISBN 978-94-024-0178-3
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?.

Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades.

Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.

Reviews

“It concentrates on the historical development of Freudenthal’s ideas on the didactics of mathematics. … it would primarily be of interest to mathematics education researchers, especially those who use RME as their theoretical framework and to those interested in the history and development of the field … .” (Annie Selden, MAA Reviews, June, 2015)


Table of contents (10 chapters)

  • Introduction

    la Bastide-van Gemert, Sacha

    Pages 1-9

    Preview Buy Chapter 30,19 €
  • Mathematics Education in Secondary Schools and Didactics of Mathematics in the Period Between the Two World Wars

    la Bastide-van Gemert, Sacha

    Pages 11-35

    Preview Buy Chapter 30,19 €
  • Hans Freudenthal—A Sketch

    la Bastide-van Gemert, Sacha

    Pages 37-59

    Preview Buy Chapter 30,19 €
  • Didactics of Arithmetic

    la Bastide-van Gemert, Sacha

    Pages 61-80

    Preview Buy Chapter 30,19 €
  • A New Start

    la Bastide-van Gemert, Sacha

    Pages 81-132

    Preview Buy Chapter 30,19 €

Buy this book

eBook 107,09 €
price for Spain (gross)
  • ISBN 978-94-017-9334-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-94-017-9333-9
  • 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 135,19 €
price for Spain (gross)
  • ISBN 978-94-024-0178-3
  • 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
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Bibliographic Information

Bibliographic Information
Book Title
All Positive Action Starts with Criticism
Book Subtitle
Hans Freudenthal and the Didactics of Mathematics
Authors
Translated by
Vincken, M., Third, W.
Copyright
2015
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-9334-6
DOI
10.1007/978-94-017-9334-6
Hardcover ISBN
978-94-017-9333-9
Softcover ISBN
978-94-024-0178-3
Edition Number
1
Number of Pages
XV, 386
Number of Illustrations and Tables
39 b/w illustrations
Topics