Mathematics as an Educational Task - ISBN:9027702357

Mathematics as an Educational Task

Date: 11 November 2010, 16:13

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Mathematics as an Educational Task
Springer | 1972-12-31 | ISBN: 9027702357 | 692 pages | PDF | 20 MB

New Mathematics has been a slogan for a decade. Modern mathemtics, interpreted according to the letter, kills education; interpreted according to its spirit, it may give life. The author places mathematics into its historical, developmental, and social context, and mathematics education into the context of general education, as it has developed and still continues to develop. At he summit of scientific production ot os gemera;;y acknowledged that mathematics is an activity rather than a well-established stock of knowledge. The author's teaching philosophy maintains that this applies to all levels of the learning process. These levels have been analyzed in numerous examples. This general theory is followed by an analysis of several crucial concepts and domains. In contrast to the modern tendency of overstressing the cardinal aspects, the number concepts is scrutinized from a wide spectrum of logical and developmental aspects. The author shows what the use of set theory are, while at the same time warning against its misuse. Geometry is no longer regarded as being summit of deductivity; its task is now seen as that of exploring the space we live in, and of offering a field of mathematical acitvity.

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