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 ...
Read More
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.
Read Less
Add this copy of Mathematics as an Educational Task to cart. $74.97, fair condition, Sold by Solr Books rated 4.0 out of 5 stars, ships from Lincolnwood, IL, UNITED STATES, published 1972 by Springer.
Add this copy of Mathematics as an Educational Task to cart. $100.00, good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1973 by D. Reidel Publishing Company.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Good. D. Reidel Publishing Company, 1973. cover faintly rubbed/bumped, spine/rear flap very lightly soiled, top corner front flap lightly bumped, 1 1/2" tear top corner front flap neatly repaired with tape; edges very lightly sunned/soiled, ever-so-slightly foxed; faint pencil erasures top corner ffep, top corner first 35 pages barely bumped; binding tight; cover, edges and interior intact and very clean, except where noted; due to the size/weight of this item, additional shipping charges may apply. paperback. Good.
Add this copy of Mathematics as an Educational Task to cart. $142.48, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1972 by Springer.
Add this copy of Mathematics as an Educational Task to cart. $208.31, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 1972 by Springer.
Add this copy of Mathematics as an Educational Task to cart. $250.70, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 2072 by Springer.
Add this copy of Mathematics as an Educational Task to cart. $309.99, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1972 by Springer.
Add this copy of Mathematics as an Educational Task to cart. $309.99, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1972 by Springer.
Add this copy of Mathematics as an Educational Task to cart. $350.15, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 1972 by Springer.
Add this copy of Mathematics as an Educational Task to cart. $350.15, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 1972 by Springer.
