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Mathematics as an Educational Task - Hans Freudenthal
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Hans Freudenthal:

Mathematics as an Educational Task - gebonden uitgave, pocketboek

1972, ISBN: 9789027702357

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 ca… Meer...

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Freudenthal, Hans:

Mathematics as an Educational Task - gebonden uitgave, pocketboek

1972, ISBN: 9789027702357

Springer, Hardcover, Auflage: 1973, 692 Seiten, Publiziert: 1972-12-31T00:00:01Z, Produktgruppe: Book, 2.53 kg, Verkaufsrang: 8060404, Teaching Aids, Education, Mathematics, Science, Natu… Meer...

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Mathematics as an Educational Task - Freudenthal, Hans
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Freudenthal, Hans:
Mathematics as an Educational Task - gebonden uitgave, pocketboek

1972

ISBN: 9789027702357

Springer, Hardcover, Auflage: 1973, 692 Seiten, Publiziert: 1972-12-31T00:00:01Z, Produktgruppe: Book, 2.53 kg, Verkaufsrang: 8060404, Teaching Aids, Education, Mathematics, Science, Natu… Meer...

Verzendingskosten:In stock. Die angegebenen Versandkosten können von den tatsächlichen Kosten abweichen. (EUR 5.61) Paper Cavalier UK
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Hans Freudenthal:
Mathematics as an Educational Task - gebonden uitgave, pocketboek

1972, ISBN: 9789027702357

Buch, Hardcover, 1973 ed. [PU: Kluwer Academic Publishers], Kluwer Academic Publishers, 1972

Verzendingskosten:Versand in 10-14 Tagen. (EUR 0.00)
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Mathematics as an Educational Task - Hans Freudenthal
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Hans Freudenthal:
Mathematics as an Educational Task - gebonden uitgave, pocketboek

ISBN: 9789027702357

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Bijzonderheden over het boek
Mathematics as an Educational Task

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.

Gedetalleerde informatie over het boek. - Mathematics as an Educational Task


EAN (ISBN-13): 9789027702357
ISBN (ISBN-10): 9027702357
Gebonden uitgave
Verschijningsjaar: 1972
Uitgever: Springer
696 Bladzijden
Gewicht: 1,192 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2007-06-06T14:34:57+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-11-08T21:52:05+01:00 (Amsterdam)
ISBN/EAN: 9027702357

ISBN - alternatieve schrijfwijzen:
90-277-0235-7, 978-90-277-0235-7


Gegevens van de uitgever

Auteur: Hans Freudenthal
Titel: Mathematics as an Educational Task
Uitgeverij: Springer; Springer Netherland
680 Bladzijden
Verschijningsjaar: 1972-12-31
Dordrecht; NL
Gewicht: 2,530 kg
Taal: Engels
320,99 € (DE)
329,99 € (AT)
354,00 CHF (CH)
POD

BB; Book; Hardcover, Softcover / Pädagogik/Schulpädagogik, Didaktik, Methodik; Fachspezifischer Unterricht; Verstehen; algebra; calculus; education; function; geometry; mathematics; B; Mathematics Education; Mathematics Education; Education; Mathematik; BC; EA

I. The Mathematical Tradition.- II. Mathematics Today.- III. Tradition and Education.- IV. Use and Aim of Mathematics Instruction.- V. The Socratic Method.- VI. Re-invention.- VII. Organization of a Field by Mathematizing.- VIII. Mathematical Rigour.- IX. Instruction.- X. The Mathematics Teacher.- XI. The Number Concept — Objective Accesses.- XII. Developing the Number Concept from Intuitive Methods to Algorithmizing and Rationalizing.- XIII. Development of the Number Concept — The Algebraic Method.- XIV. Development of the Number Concept — From the Algebraic Principle to the Global Organization of Algebra.- XV. Sets and Functions.- XVI. The Case of Geometry.- XVII. Analysis.- XVIII. Probability and Statistics.- XIX. Logic.- Appendix I. Piaget and the Piaget School’s Investigations on the Development of Mathematical Notions.- Appendix II. Papers of the Author on Mathematical Instruction.

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9789401029049 Mathematics as an Educational Task (Freudenthal, Hans)


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