2012, ISBN: 9789401029032

eBooks, eBook Download (PDF), 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 treati… Meer...

eBooks, eBook Download (PDF), 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. [PU: Springer Netherlands], Springer Netherlands, 2012<

ISBN: 9789401029032

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 c… Meer...

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., Springer<

ISBN: 9789401029032

Mathematics as an Educational Task ab 341.49 € als pdf eBook: . Aus dem Bereich: eBooks, Sachthemen & Ratgeber, Erziehung & Bildung, Medien > Bücher, Mathematics as an Educational Task - … Meer...

Mathematics as an Educational Task ab 341.49 € als pdf eBook: . Aus dem Bereich: eBooks, Sachthemen & Ratgeber, Erziehung & Bildung, Medien > Bücher, Mathematics as an Educational Task - eBook als pdf von Hans Freudenthal - Springer Netherlands - 9789401029032<

ISBN: 9789401029032

Mathematics as an Educational Task ab 341.49 € als pdf eBook: . Aus dem Bereich: eBooks, Sachthemen & Ratgeber, Erziehung & Bildung, Medien > Bücher nein eBook als pdf eBooks > Sachthemen… Meer...

Mathematics as an Educational Task ab 341.49 € als pdf eBook: . Aus dem Bereich: eBooks, Sachthemen & Ratgeber, Erziehung & Bildung, Medien > Bücher nein eBook als pdf eBooks > Sachthemen & Ratgeber > Erziehung & Bildung, Springer Netherlands<

ISBN: 9789401029032

*Mathematics as an Educational Task* / pdf eBook für 308.99 € / Aus dem Bereich: eBooks, Sachthemen & Ratgeber, Erziehung & Bildung Medien > Bücher nein eBook als pdf eBooks > Sachthemen … Meer...

*Mathematics as an Educational Task* / pdf eBook für 308.99 € / Aus dem Bereich: eBooks, Sachthemen & Ratgeber, Erziehung & Bildung Medien > Bücher nein eBook als pdf eBooks > Sachthemen & Ratgeber > Erziehung & Bildung, Springer Netherlands<