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The Geometry Relevant to Modern Education

In: The Teaching of Geometry at the Pre-College Level

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  • Karl Menger

    (Illinois Institute of Technology)

Abstract

For some time now, the shortcomings of Euclid’s Elements have been recognized in precollege teaching; and the age that identified the study of geometry with reading Euclid’s book is definitely past. But it has also become clear that a presentation of the whole of Euclidean geometry with modern rigor would require more time than secondary schools can apportion to this task. As a result of this situation, many educators feel that they are forced to adopt one of two courses: either to spend too much time on the teaching of geometry or to present the subject without meeting the requirements of modern rigor — a task in which they are supported by textbooks some of which actually have much greater shortcomings than Euclid’s Elements. Two ways out of this dilemma have been proposed.

Suggested Citation

  • Karl Menger, 1971. "The Geometry Relevant to Modern Education," Springer Books, in: Hans-Georg Steiner (ed.), The Teaching of Geometry at the Pre-College Level, pages 225-241, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-5896-3_16
    DOI: 10.1007/978-94-017-5896-3_16
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