Mathematics, Education and History Towards a Harmonious Partnership /
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of th...
Συγγραφή απο Οργανισμό/Αρχή: | |
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Άλλοι συγγραφείς: | , , , |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
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Έκδοση: | 1st ed. 2018. |
Σειρά: | ICME-13 Monographs,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Introduction
- Part I - Theoretical and/or conceptual frameworks for integrating history and epistemology of mathematics in ME
- I.1: The history of artefacts as a resource in mathematics education, and inquiry reflective learning environments
- I.2 History of mathematics and teachers' education: on otherness and empathy
- I.3 ÜBERPRO: addressing the transition from school to university: Initial results from a case study
- Part II Courses and/or didactical material: Design, implementation and evaluation
- II.1 Facilitating source-centered history of mathematics in Danish upper-secondary mathematics education
- II.2 Involving students in original research with primary sources: A graduate course in the History of Mathematics Education
- II.3 Algebra without context is empty, visualizations without concepts are blind
- II.4 History of mathematics in German textbooks - typology of tasks
- Part III - Empirical investigations on implementing history and epistemology in ME
- III.1 Geometry and visual reasoning to introduce algebraic language as Liu Hui and Al-Khwarizmi did
- III.2 Missing curious fraction problems: the unknown inheritance and the unknown numbers of heirs
- III.3 History of matrices: promoting commognitive conflicts and encouraging reflection on meta-discursive rules in prospective teachers
- Part IV- Original historical sources in teaching and learning of and about mathematics
- IV.1 Liu Hui shares his views with young students
- IV.2 Experimentation on the effects of mathematical diversity: Using ancient cuneiform mathematics on conceptual and nature of sciences aspects
- IV.3 Making domain-specific beliefs explicit for prospective teachers - an example of using original sources
- IV.4 Primary historical sources in the classroom: Graph Theory and spanning trees
- Part V -History and epistemology of mathematics: Interdisciplinary teaching and socio-cultural aspects
- V.1 The Pantograph - a historical drawing device for math teaching
- V.2 Expanding contexts for teaching upper secondary school geometry
- V.3 Learning new mathematics from old: Euclid's art after Bath.