Elementary Mathematics from a Higher Standpoint, Volume 2 - Geometry (Paperback, 2016 ed.)

These three volumes constitute the first complete English translation of Felix Klein's seminal series "Elementarmathematik vom hoheren Standpunkte aus". "Complete" has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein's far-reaching conception of elementarisation, of the "elementary from a higher standpoint", in its implementation for school mathematics. This volume II presents a paradigmatic realisation of Klein's approach of elementarisation for teacher education. It is shown how the various geometries, elaborated particularly since the beginning of the 19th century, are revealed as becoming unified in a new restructured geometry. As Klein liked to stress: "Projective geometry is all geometry". Non-Euclidean geometry proves to constitute a part of this unifying process. The teaching of geometry is discussed in a separate chapter, which provides moreover important information on the history of geometry teaching and an international comparison.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	July 2016
First published:	2016
Authors:	Felix Klein
Translators:	Gert Schubring
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	331
Edition:	2016 ed.
ISBN-13:	978-3-662-49443-1
Subtitles:	German
Categories:	Books > Social sciences > Education > Teaching of a specific subject Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	3-662-49443-4
Barcode:	9783662494431

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