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Books > Social sciences > Education > Teaching of a specific subject
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Mathematics as an Educational Task (Paperback, Softcover reprint of the original 1st ed. 1973)
Loot Price: R7,747
Discovery Miles 77 470
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Mathematics as an Educational Task (Paperback, Softcover reprint of the original 1st ed. 1973)
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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."
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