All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics

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 d...

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Tác giả chính:	la Bastide-van Gemert, Sacha
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2016
Những chủ đề:	Essays Mathematics Freudenthal, Hans, > 1905-1990 Mathematics > Study and teaching > Philosophy
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/60108
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-601082023-11-11T07:14:05Z All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics la Bastide-van Gemert, Sacha Essays Mathematics Freudenthal, Hans, -- 1905-1990 Mathematics -- Study and teaching -- Philosophy 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. 2016-04-21T07:51:29Z 2016-04-21T07:51:29Z 2015 Book 978-94-017-9334-6 978-94-017-9333-9 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/60108 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Essays Mathematics Freudenthal, Hans, -- 1905-1990 Mathematics -- Study and teaching -- Philosophy
spellingShingle	Essays Mathematics Freudenthal, Hans, -- 1905-1990 Mathematics -- Study and teaching -- Philosophy la Bastide-van Gemert, Sacha All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics
description	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.
format	Book
author	la Bastide-van Gemert, Sacha
author_facet	la Bastide-van Gemert, Sacha
author_sort	la Bastide-van Gemert, Sacha
title	All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics
title_short	All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics
title_full	All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics
title_fullStr	All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics
title_full_unstemmed	All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics
title_sort	all positive action starts with criticism: hans freudenthal and the didactics of mathematics
publisher	Springer
publishDate	2016
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/60108
_version_	1819776081308155904

All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics

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