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9789401793339: All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics

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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.

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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.

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9789402401783: All Positive Action Starts with Criticism: Hans Freudenthal and the Didactics of Mathematics

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ISBN 10:  9402401784 ISBN 13:  9789402401783
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Sacha la Bastide-van Gemert; Marianne Vincken (translator); William Third (translator)
Publicado por Springer, 2015
ISBN 10: 9401793336 ISBN 13: 9789401793339
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Hardcover. Condición: Very Good. Hardcover, xv + 386 pages, NOT ex-library. Book is clean and bright with unmarked text, free of inscriptions and stamps, firmly bound. Boards show mild handling wear. Issued without a dust jacket. -- Contents: 1 Introduction: "A Way to Master This World" [Didactics of Mathematics and H.Freudenthal: Definition of the Problem & Phrasing of the Question; Don Quixote: Freudenthal Myth?; Research Method: Use of Freudenthal's Personal Archive; Nature of the Study and the Historiography; Structure of This Book] 2 Mathematics Education in Secondary Schools and Didactics of Mathematics in the Period Between the Two World Wars [Secondary Education in the Period Between the Two World Wars; Discussions on the Mathematics Education at the VHMO] 3 H.Freudenthal: A Sketch [Freudenthal: An Impression; Luckenwalde; Berlin; Amsterdam; Utrecht] 4 Didactics of Arithmetic [Dating of 'Rekendidactiek'; Cause & Intention; Teaching of Arithmetic in Primary Schools; Freudenthal's 'Rekendidactiek': The Content; 'Rekendidactiek' ('Didactics of Arithmetic'): All Positive Action Starts with Criticism] 5 New Start [Educating; Higher Education; Wiskunde Werkgroep (Mathematics Working Group)] 6 From Critical Outsider to True Authority [Mathematics Education & Education of the Intellectual Capacity; Body Under the Floorboards: Mechanics Education; Preparations for a New Curriculum; Probability Theory and Statistics: A Text Book; Paedagogums, Paeda Magicians and Scientists: Teacher Training; Freudenthal Internationally] 7 Freudenthal and the Van Hieles' Level Theory: A Learning Process [Introduction: A Special PhD Project; Freudenthal as Supervisor; 'Problems of Insight': Van Hiele's Level Theory; Freudenthal and the Theory of the Van Hieles: From 'Level Theory' to 'Guided Re-Invention'; Analysis of a Learning Process: Reflection on Reflection; To Conclude] 8 Method vs Content: New Math & Modernization of Mathematics Education [Introduction: Time for Modernization; New Math; Royaumont: Bridge Club with Unforeseen Consequences; Freudenthal on Modern Mathematics & Its Meaning for Mathematics Education; Modernization of Mathematics Education in the Netherlands; Geometry Education; Logic; Freudenthal & New Math: Conclusion] 9 Here's How Freudenthal Saw It [Introduction: Changes in the Scene of Action; Educational Studies in Mathematics (Not Exactly Bursting with Enthusiasm: The Launch; Freudenthal as Guardian of the Level); Institute for the Development of Mathematics Education (From CMLW to IOWO; Freudenthal & the IOWO); Exploring the World from the Paving Bricks to the Moon; Observations as a Source; Enfant Terrible (Weeding; Drumming on Empty Barrels; Freudenthal on Piaget: Admiration and Merciless Criticism); Task for the Future] 10 Epilogue: We Have Come Full Circle; Bibliography; Index -- 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. Nº de ref. del artículo: 005950

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Sacha la Bastide-van Gemert
Publicado por Springer Netherlands, 2015
ISBN 10: 9401793336 ISBN 13: 9789401793339
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Historical analysis of Hans Freudenthal s didactical ideas and didactical careerProvides a historiography of genuine mathematics and realistic mathematicsGives a bibliographic account of Freudenthal s working lifeHistorical a. Nº de ref. del artículo: 15249160

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Sacha La Bastide-Van Gemert
Publicado por Springer Netherlands Jan 2015, 2015
ISBN 10: 9401793336 ISBN 13: 9789401793339
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 inextricablylinked 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. 404 pp. Englisch. Nº de ref. del artículo: 9789401793339

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La Bastide-van Gemert, Sacha
Publicado por Springer, 2015
ISBN 10: 9401793336 ISBN 13: 9789401793339
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Condición: New. In Dutch; Flemish. Nº de ref. del artículo: ria9789401793339_new

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Sacha La Bastide-Van Gemert
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 inextricablylinked 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. Nº de ref. del artículo: 9789401793339

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La Bastide-van Gemert, Sacha
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Sacha La Bastide-Van Gemert
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Buch. Condición: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 404 pp. Englisch. Nº de ref. del artículo: 9789401793339

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La Bastide-van Gemert, Sacha
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La Bastide-van Gemert, Sacha/ Vincken, Marianne (Translator)/ Third, William (Translator)
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Hardcover. Condición: Brand New. 2015 edition. 340 pages. 9.25x6.50x1.00 inches. In Stock. Nº de ref. del artículo: x-9401793336

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