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E-grāmata: Theories in and of Mathematics Education: Theory Strands in German Speaking Countries

  • Formāts: EPUB+DRM
  • Sērija : ICME-13 Topical Surveys
  • Izdošanas datums: 05-Aug-2016
  • Izdevniecība: Springer International Publishing AG
  • Valoda: eng
  • ISBN-13: 9783319425894
  • Formāts - EPUB+DRM
  • Cena: 3,93 €*
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  • Formāts: EPUB+DRM
  • Sērija : ICME-13 Topical Surveys
  • Izdošanas datums: 05-Aug-2016
  • Izdevniecība: Springer International Publishing AG
  • Valoda: eng
  • ISBN-13: 9783319425894

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This survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s. Two theory strands are offered: a semiotic view related to Peirce and Wittgenstein (presented by Willibald Dörfler), and the theory of learning activity by Joachim Lompscher (presented by Regina Bruder and Oliver Schmitt). By networking the two theoretical approaches in a case study of learning fractions, it clarifies the nature of the two theories, how they can be related to inform practice and renew TME-issues for mathematics education as a scientific discipline. Hans-Georg Steiner initiated the first of five international conferences on Theories of Mathematics Education (TME) to advance the founding of mathematics education as a scientific discipline, and subsequently German researchers have continued to focus on TME topics but within various theory strands.

Papildus informācija

This is an open access book, the electronic versions are freely accessible online.
1 Introduction
1(2)
2 Theories in Mathematics Education as a Scientific Discipline
3(10)
2.1 How to Understand Theories and How They Relate to Mathematics Education as a Scientific Discipline: A Discussion in the 1980s
3(5)
2.2 Theories of Mathematics Education (TME): A Program for Developing Mathematics Education as a Scientific Discipline
8(2)
2.3 Post-TME Period
10(3)
3 Joachim Lompscher and His Activity Theory Approach Focusing on the Concept of Learning Activity and How It Influences Contemporary Research in Germany
13(8)
3.1 Introduction
13(1)
3.2 Conceptual Bases
14(4)
3.3 Exemplary Applications of the Activity Theory
18(3)
4 Signs and Their Use: Peirce and Wittgenstein
21(12)
4.1 Introductory Remarks
21(1)
4.2 Charles Sanders Peirce
22(2)
4.3 Diagrams and Diagrammatic Thinking
24(3)
4.4 Wittgenstein: Meaning as Use
27(3)
4.5 Conclusion
30(3)
5 Networking of Theories in the Tradition of TME
33(10)
5.1 The Networking of Theories Approach
33(3)
5.2 The Networking of Theories and the Philosophy of the TME Program
36(1)
5.3 An Example of Networking the Two Theoretical Approaches
37(2)
5.4 The Sign-Game View
39(1)
5.5 The Learning Activity View
40(1)
5.6 Comparison of Both Approaches
41(2)
6 Summary and Looking Ahead
43(2)
References 45