ICME-13 Monographs
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The Legacy of Felix Klein

Editors: Weigand, H.-G., McCallum, W., Menghini, M., Neubrand, M., Schubring, G. (Eds.)

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  • Is the first collection of Klein’s main ideas on the teaching of mathematics 
  • Shows that Felix Klein was a remarkable figure in mathematics and mathematics education 
  • Demonstrates that Klein’s ideas are still important in teaching mathematics today 
  • Written by authors who have worked with Klein’s ideas on teaching mathematics for many years
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eBook  
  • ISBN 978-3-319-99386-7
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-99385-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This open access book provides an overview of Felix Klein’s ideas, highlighting developments in university teaching and school mathematics related to Klein’s thoughts, stemming from the last century. It discusses the meaning, importance and the legacy of Klein’s ideas today and in the future, within an international, global context. Presenting extended versions of the talks at the Thematic Afternoon at ICME-13, the book shows that many of Klein’s ideas can be reinterpreted in the context of the current situation, and offers tips and advice for dealing with current problems in teacher education and teaching mathematics in secondary schools. It proves that old ideas are timeless, but that it takes competent, committed and assertive individuals to bring these ideas to life. 

Throughout his professional life, Felix Klein emphasised the importance of reflecting upon mathematics teaching and learning from both a mathematical and a psychological or educational point of view. He also strongly promoted the modernisation of mathematics in the classroom, and developed ideas on university lectures for student teachers, which he later consolidated at the beginning of the last century in the three books on elementary mathematics from a higher standpoint.

Reviews

“This book is of great interest for those interested in mathematics education and in its history. … It makes clear the depth and subtlety of Klein’s ideas of functional thinking, intuition, and visualisation, and the deep epistemological roots of his idea of elementarisation.” (Michèle Artigue, Educational Studies in Mathematics, Vol. 102, 2019)

Table of contents (15 chapters)

Table of contents (15 chapters)
  • Felix Klein—Mathematician, Academic Organizer, Educational Reformer

    Pages 5-21

    Tobies, Renate

  • What Is or What Might Be the Legacy of Felix Klein?

    Pages 23-31

    Weigand, Hans-Georg

  • Functional Thinking: The History of a Didactical Principle

    Pages 35-53

    Krüger, Katja

  • Teachers’ Meanings for Function and Function Notation in South Korea and the United States

    Pages 55-66

    Thompson, Patrick W. (et al.)

  • Is the Real Number Line Something to Be Built, or Occupied?

    Pages 67-77

    Bass, Hyman

Buy this book

eBook  
  • ISBN 978-3-319-99386-7
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-99385-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • 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 Felix Klein
Editors
  • Hans-Georg Weigand
  • William McCallum
  • Marta Menghini
  • Michael Neubrand
  • Gert Schubring
Series Title
ICME-13 Monographs
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-319-99386-7
DOI
10.1007/978-3-319-99386-7
Hardcover ISBN
978-3-319-99385-0
Series ISSN
2520-8322
Edition Number
1
Number of Pages
VI, 226
Number of Illustrations
51 b/w illustrations, 53 illustrations in colour
Topics