Editors:
- 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
Part of the book series: ICME-13 Monographs (ICME13Mo)
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Table of contents (15 chapters)
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Front Matter
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Functional Thinking
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Front Matter
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Intuitive Thinking and Visualization
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Front Matter
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Elementary Mathematics from a Higher Standpoint—Conception, Realization, and Impact on Teacher Education
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Front Matter
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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 ofview. 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.
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Editors and Affiliations
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Universität Würzburg, Würzburg, Germany
Hans-Georg Weigand
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University of Arizona, Tucson, USA
William McCallum
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Department of Mathematics, Sapienza University of Rome, Rome, Italy
Marta Menghini
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University of Oldenburg, Oldenburg, Germany
Michael Neubrand
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Universität Bielefeld, Bielefeld, Germany
Gert Schubring
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
DOI: https://doi.org/10.1007/978-3-319-99386-7
Publisher: Springer Cham
eBook Packages: Education, Education (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2019
Hardcover ISBN: 978-3-319-99385-0Published: 19 December 2018
eBook ISBN: 978-3-319-99386-7Published: 11 December 2018
Series ISSN: 2520-8322
Series E-ISSN: 2520-8330
Edition Number: 1
Number of Pages: VI, 226
Number of Illustrations: 51 b/w illustrations, 53 illustrations in colour
Topics: Mathematics Education, History of Mathematical Sciences, Teaching and Teacher Education