Mathematics as an Educational Task (Hardcover, 1973 ed.)

Hans Freudenthal

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Like preludes, prefaces are usually composed last. Putting them in the front of the book is a feeble reflection of what, in the style of mathe matics treatises and textbooks, I usually call thf didactical inversion: to be fit to print, the way to the result should be the inverse of the order in which it was found; in particular the key definitions, which were the finishing touch to the structure, are put at the front. For many years I have contrasted the didactical inversion with the thought-experiment. It is true that you should not communicate your mathematics to other people in the way it occurred to you, but rather as it could have occurred to you if you had known then what you know now, and as it would occur to the student if his learning process is being guided. This in fact is the gist of the lesson Socrates taught Meno's slave. The thought-experi ment tries to find out how a student could re-invent what he is expected to learn. I said about the preface that it is a feeble reflection of the didactical inversion. Indeed, it is not a constituent part of the book. It can even be torn out. Yet it is useful. Firstly, to the reviewer who then need not read the whole work, and secondly to the author himself, who like the composer gets an opportunity to review the Leitmotivs of the book."

General

Imprint:	Kluwer Academic Publishers
Country of origin:	Netherlands
Release date:	December 2003
First published:	December 1972
Authors:	Hans Freudenthal
Dimensions:	235 x 155 x 38mm (L x W x T)
Format:	Hardcover
Pages:	680
Edition:	1973 ed.
ISBN-13:	978-90-277-0235-7
Categories:	Books > Social sciences > Education > Teaching of a specific subject Books > Science & Mathematics > Mathematics > General Promotions
LSN:	90-277-0235-7
Barcode:	9789027702357