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Didactical Phenomenology of Mathematical Structures

  • Book
  • © 2002

Overview

Authors:
  1. Hans Freudenthal
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Part of the book series: Mathematics Education Library (MELI, volume 1)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-x
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  2. As an Example: Length

    Pages 1-27

  3. The Method

    Pages 28-33

  4. Sets

    Pages 34-72

  5. Natural Numbers

    Pages 73-132

  6. Fractions

    Pages 133-177

  7. Ratio and Proportionality

    Pages 178-209

  8. Structures: In Particular, Geometrical Structures

    Pages 210-222

  9. Putting into Geometrical Contexts

    Pages 223-249

  10. Topology as a Geometrical Context

    Pages 250-280

  11. The Topographical Context

    Pages 281-295

  12. Figures and Configurations

    Pages 296-329

  13. Geometrical Mappings

    Pages 330-350

  14. Measuring by means of Geometry

    Pages 351-406

  15. Topography with Geometry

    Pages 407-431

  16. Negative Numbers and Directed Magnitudes

    Pages 432-460

  17. The Algebraic Language

    Pages 461-490

  18. Functions

    Pages 491-578

  19. Back Matter

    Pages 579-595
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Keywords

About this book

The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.

Bibliographic Information

  • Book Title: Didactical Phenomenology of Mathematical Structures

  • Authors: Hans Freudenthal

  • Series Title: Mathematics Education Library

  • DOI: https://doi.org/10.1007/0-306-47235-X

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media B.V. 2002

  • Hardcover ISBN: 978-90-277-1535-7Published: 31 August 1983

  • Softcover ISBN: 978-90-277-2261-4Published: 30 November 1986

  • eBook ISBN: 978-0-306-47235-0Published: 28 November 2005

  • Series ISSN: 0924-4921

  • Series E-ISSN: 2214-983X

  • Edition Number: 1

  • Number of Pages: X, 596

  • Topics: Mathematics Education, Education, general

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