ISBN:
9789401131681
Language:
English
Pages:
Online-Ressource (IX, 354 p)
,
digital
Edition:
Springer eBook Collection. Humanities, Social Sciences and Law
Series Statement:
Mathematics Education Library 8
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Keywords:
Education
;
Mathematics
;
Mathematics—Study and teaching .
;
History.
Abstract:
and overview -- Notes Introduction -- 1 Description of the fraction problem -- 1.1 Introduction and overview -- 1.2 Pointing out the problem -- 1.3 Description of the problem -- 1.4 Overview and outlook -- Notes chapter 1 -- 2 Currents-standpoint-proposal -- 2.1 Introduction and overview -- 2.2 Currents -- 2.3 Standpoint -- 2.4 Proposal -- 2.5 Review and outlook -- Notes chapter 2 -- 3 The context of the research -- 3.1 Introduction and overview -- 3.2 Starting from the construction principle -- 3.3 Development research -- 3.4 Design and method -- 3.5 The research group -- 3.6 The researcher’s position -- 3.7 Conclusion -- Notes chapter 3 -- 4 The course in theory and practice -- 4.1 Introduction and overview -- 4.2 Global outline of the fraction course -- 4.3 Producing fractions: the teaching experiment -- 4.4 In view of mathematization -- 4.5 Review and outlook -- Notes chapter 4 -- 5 Individual portraits of the fraction researchers -- 5.1 Introduction and overview -- 5.2 Indicators for the (improvement in) quality of the individual learning processes -- 5.3 The student portraits -- 5.4 Review and outlook -- Notes chapter 5 -- 6 Internal evaluation of the learning process -- 6.1 Introduction and overview -- 6.2 Yielding to and building up resistance to IN-distractors -- 6.3 Progression in schematizating through abbreviations -- 6.4 Models and diagrams -- 6.5 Acquiring representations fitting formally posed problems -- 6.6 Constructions and productions on a symbolic level -- 6.7 The framework of the level-theory and the course construction -- 6.8 Review and outlook -- Notes chapter 6 -- 7 External or summative evaluation -- 7.1 Introduction and overview -- 7.2 Weighing the groups -- 7.3 Comparing and characterizing the programs -- 7.4 The tests -- 7.5 Results -- 7.6 Summary and conclusions -- 7.7 Realistic and mechanistic: a difference in effects? -- 7.8 A look ahead -- Notes chapter 7 -- 8 Theoretical review -- 8.1 Introduction and overview -- 8.2 Teaching and learning fractions -- 8.3 Conclusion -- Notes chapter 8 -- Epilogue: Sketch of a new course -fractions, an integrated perspective-.
DOI:
10.1007/978-94-011-3168-1
URL:
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