The Geometry Relevant to Modern Education

Karl Menger
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Karl Menger: Illinois Institute of Technology

A chapter in The Teaching of Geometry at the Pre-College Level, 1971, pp 225-241 from Springer

Abstract: 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.

Keywords: Euclidean Geometry; Affine Plane; Modern Education; Affine Geometry; Deductive Theory (search for similar items in EconPapers)
Date: 1971
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-5896-3_16

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DOI: 10.1007/978-94-017-5896-3_16

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