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The Teaching of Geometry at the Pre-College Level

Proceedings of the Second CSMP International Conference Co-Sponsored by Southern Illinois University and Central Midwestern Regional Educational Laboratory

  • Conference proceedings
  • © 1971

Overview

Editors:
  1. Hans-Georg Steiner

    1. University of Erlangen-Nürnberg, PH Bayreuth, West Germany

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Table of contents (27 papers)

  1. Front Matter

    Pages I-VIII
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  2. Background

    • Burt Kaufman
    Pages 1-4

  3. The CSMP Development of Geometry

    • The CSMP Staff
    Pages 5-9

  4. Geometry Conference Recommendations

    • Hans-Georg Steiner
    Pages 10-11

  5. n-Gons

    • Friedrich Bachmann
    Pages 12-33

  6. Inversive Geometry

    • H. S. M. Coxeter
    Pages 34-45

  7. The Problem of Relating Mathematics to the Possibilities and Needs of Schools and Children

    • Robert B. Davis
    Pages 46-60

  8. An Example of the Passage from the Concrete to the Manipulation of Formal Systems

    • Zoltan P. Diénès
    Pages 61-76

  9. Geometrical Activities for the Upper Elementary School

    • Arthur Engel
    Pages 77-118

  10. The Teaching of Geometry Present Problems and Future Aims

    • T. J. Fletcher
    Pages 119-136

  11. Geometry Between the Devil and the Deep Sea

    • Hans Freudenthal
    Pages 137-159

  12. Topology in the High School

    • Peter Hilton
    Pages 160-177

  13. Some Experiments on Structured Learning

    • M. A. Jeeves
    Pages 178-200

  14. Topology and Transformations in High School Geometry

    • Paul J. Kelly
    Pages 201-205

  15. The Use of Research Problems in High School Geometry

    • Victor Klee
    Pages 206-213

  16. Geometric Algebra for the High School Program

    • Howard Levi
    Pages 214-224

  17. The Geometry Relevant to Modern Education

    • Karl Menger
    Pages 225-241

  18. A First Introduction to the Notion of Topological Space

    • G. Papy
    Pages 242-254

  19. The Introduction of Metric by the Use of Conics

    • Günter Pickert
    Pages 255-271

  20. The Position of Geometry in Mathematical Education

    • André Revuz
    Pages 272-276
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Keywords

Editors and Affiliations

  • University of Erlangen-Nürnberg, PH Bayreuth, West Germany

    Hans-Georg Steiner

Bibliographic Information

  • Book Title: The Teaching of Geometry at the Pre-College Level

  • Book Subtitle: Proceedings of the Second CSMP International Conference Co-Sponsored by Southern Illinois University and Central Midwestern Regional Educational Laboratory

  • Editors: Hans-Georg Steiner

  • DOI: https://doi.org/10.1007/978-94-017-5896-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1971

  • Softcover ISBN: 978-94-017-5638-9Published: 01 January 1971

  • eBook ISBN: 978-94-017-5896-3Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: VIII, 387

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Geometry, Mathematics Education, Learning & Instruction

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