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All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics - gebunden oder broschiert

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All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics Sacha la Bastide-van Gemert Author

This study provides a historical analysis of Freudenthal's didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905-1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone's life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for 'genuine' mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passe. However, the outcome of this study (which is mainly based on documents from Freudenthal's vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal's view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.

Detailangaben zum Buch - All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics Sacha la Bastide-van Gemert Author


EAN (ISBN-13): 9789401793339
ISBN (ISBN-10): 9401793336
Gebundene Ausgabe
Erscheinungsjahr: 2015
Herausgeber: Springer Netherlands Core >2

Buch in der Datenbank seit 2014-10-10T19:47:41+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-01-14T15:42:47+01:00 (Berlin)
ISBN/EAN: 9789401793339

ISBN - alternative Schreibweisen:
94-017-9333-6, 978-94-017-9333-9
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: bastide, bast, van gemert, gemmert, hans freudenthal, max freudenthal, vincken, van passe, kindergarten
Titel des Buches: freudenthal, criticism, actio, elke, buch all, action all, actie, starts with


Daten vom Verlag:

Autor/in: Sacha la Bastide-van Gemert
Titel: All Positive Action Starts with Criticism - Hans Freudenthal and the Didactics of Mathematics
Verlag: Springer; Springer Netherland
386 Seiten
Erscheinungsjahr: 2015-01-27
Dordrecht; NL
Gedruckt / Hergestellt in Niederlande.
Übersetzer/in: Marianne Vincken; William Third
Sprache: Englisch
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XV, 386 p. 39 illus.

BB; Hardcover, Softcover / Pädagogik/Schulpädagogik, Didaktik, Methodik; Fachspezifischer Unterricht; Verstehen; Educational Studies of Mathematics; FIsme; Freudenthal Institute; Hans Freudenthal; History of ICMI; ICMI; New Math; Rekendidactiek; Wiskunde Werkgroep; didactics of arithmetic; didactics of mathematics; mathematics education; realistic mathematics; realistisch rekenen; Mathematics Education; Mathematik; EA; BC

This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?.

Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades.

Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.

“It concentrates on the historical development of Freudenthal’s ideas on the didactics of mathematics. … it would primarily be of interest to mathematics education researchers, especially those who use RME as their theoretical framework and to those interested in the history and development of the field … .” (Annie Selden, MAA Reviews, June, 2015)

This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?

Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably  linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades.


Historical analysis of Hans Freudenthal's didactical ideas and didactical career Provides a historiography of 'genuine' mathematics and 'realistic' mathematics Gives a bibliographic account of Freudenthal's working life Includes supplementary material: sn.pub/extras

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