All Positive Action Starts with Criticism by Marianne Vincken
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All Positive Action Starts with Criticism

All Positive Action Starts with Criticism


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Acknowledgements.- Chapter 1: Introduction - ``A way to master this world''.- Chapter 2: Mathematics education in secondary schools and didactics of mathematics in the period between the two World Wars.- 2.1: Secondary Education in the period between the two world wars.- 2.1.1: The origination of the school types in secondary education.- 2.1.2: Some school types.- 2.1.3: The competition between HBS and Gymnasium.- 2.2: Discussions on the mathematics education at the VHMO.- 2.2.1: The initial geometry education and the foundation of journal Euclides.- 2.2.2: The Beth committee and the introduction of differential and integral calculus.- 2.2.3: The controversy about mechanics.- 2.2.4: Educating the mathematics teacher.- 2.2.5: New insights and the Wiskunde Werkgroep (Mathematics Working Group).- Chapter 3: Hans Freudenthal - a sketch.- 3.1: Hans Freudenthal - an impression.- 3.2: Luckenwalde.- 3.3: Berlin.- 3.4: Amsterdam.- 3.5: Utrecht.- Chapter 4: Didactics of arithmetic.- 4.1: Dating of `Rekendidactiek'.- 4.2: Cause and intention.- 4.3: Teaching of arithmetic in primary schools.- 4.4: Freudenthal's `Rekendidactiek': the content.- 4.4.1: Preface.- 4.4.2: Auxiliary sciences.- 4.4.3: Aim and use of teaching of arithmetic.- 4.5: `Rekendidactiek' 'Didactics of arithmetic'): every positive action starts with criticism.- Chapter 5: A new start.- 5.1: Educating.- 5.1.1: Educating at home.- 5.1.2: `Our task as present-day educators'.- 5.1.3: `Education for thinking'.-5.1.4: `Educating' in De Groene Amsterdammer.- 5.1.5: Education: a summary.- 5.2: Higher Education.- 5.2.1: Studium Generale.- 5.2.2: The teachers training.- 5.2.3: Student wage.- 5.2.4: Higher education: a ramshackle parthenon or a house in order?.- 5.3: The Wiskunde Werkgroep (the Mathematics Study Group).- 5.3.1: Activities of the Wiskunde Werkgroep.- 5.3.2: `The algebraic and analytical view on the number concept in elementary mathematics'.- 5.3.3: `Mathematics for non-mathematical studies'.- 5.3.4: Freudenthal's mathematical working group.- Chapter 6: From critical outsider to true authority.- 6.1: Mathematics education and the education of the intellectual capacity.- 6.2: A body under the floor boards: the mechanics education.- 6.3: Preparations for a new curriculum.- 6.4: Probability theory and statistics: a text book.-6.5: Paedagogums, paeda magicians and scientists: the teacher training.- 6.6: Freudenthal internationally.- Chapter 7: Freudenthal and the Van Hieles' level theory. A learning process.-7.1: Introduction: a special PhD project.- 7.2: Freudenthal as supervisor.- 7.3: `Problems of insight': Van Hiele's level theory.- 7.4: Freudenthal and the theory of the Van Hieles: from `level theory' to `guided re-invention'.- 7.5: Analysis of a learning process: reflection on reflection.- 7.6: To conclude.- Chapter 8: Method versus content. New Math and the modernization of mathematics education.- 8.1: Introduction: time for modernization.- 8.2: New Math.- 8.2.1: The gap between modern mathematics and mathematics education.- 8.2.2: Modernization of the mathematics education in the Unites States.- 8.3: Royaumont: a bridge club with unforeseen consequences.- 8.3.1: Freudenthal in `the group of experts'.- 8.3.2: Royaumont without Freudenthal: the launch of New Math.- 8.4: Freudenthal on modern mathematics and its meaning for mathematics education.- 8.4.1: The nature of modern mathematics.- 8.4.2: Modern mathematics for the public at large.- 8.4.3: The mathematician ``in der Unterhose auf der Strasse'' ("in his underpants on the street").- 8.4.4: Fairy tales and dead ends.- 8.4.5: Modern mathematics as the solution?.- 8.5: Mo


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Product Details
  • ISBN-13: 9789401793339
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Depth: 25
  • Height: 234 mm
  • No of Pages: 386
  • Series Title: English
  • Sub Title: Hans Freudenthal and the Didactics of Mathematics
  • Width: 156 mm
  • ISBN-10: 9401793336
  • Publisher Date: 14 Feb 2015
  • Binding: Hardback
  • Edition: 2015 ed.
  • Language: Dutch; Flemish
  • Returnable: Y
  • Spine Width: 24 mm
  • Weight: 793 gr


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