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Comparison of Mathematics and Physics Education I

Theoretical Foundations for Interdisciplinary Collaboration

  • Book
  • © 2020

Overview

Editors:
  1. Simon Friedrich Kraus

    1. Department of Physics – Physics Education, Universität Siegen, Siegen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Eduard Krause

    1. Department of Mathematics – Mathematics Education, Universität Siegen, Siegen, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Summarizes the theoretical foundations of the synergies between mathematics and physics education theories
  • Offers valuable contributions on didactic topics from both disciplines
  • Proves interdisciplinary work to be a great aim of teaching

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XX
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  2. Interdisciplinarity in School and Teacher Training Programs

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Eduard Krause, Simon Friedrich Kraus
      Pages 3-13

    3. Interdisciplinarity in School and Teacher Training Programs

      • Phuong Chi Nguyen, Eduard Krause
      Pages 15-35

  3. Physics and Mathematics as Interwoven Disciplines

    1. Front Matter

      Pages 37-39
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    2. Mathematics in History – From an Empirical to a Formalistic Conception

      • Horst Struve, Ingo Witzke, Tuan Anh Le
      Pages 41-53

    3. Abstraction as an Essential Characteristic of Modern Mathematics in the Paradigmatic Example of Fermat’s Little Theorem

      • Jochen Geppert, Phuong Chi Nguyen, Eduard Krause
      Pages 55-75

    4. Mathematics From the Pupils’ Point of View

      • Ingo Witzke, Horst Struve, Tuan Anh Le
      Pages 77-90

    5. The Mathematization of Physics Throughout History

      • Ngoc Chat Tran, Phuong Chi Nguyen, Eduard Krause, Simon Friedrich Kraus
      Pages 91-112

    6. The Nature of Science

      • Van Bien Nguyen, Simon Friedrich Kraus
      Pages 113-136

    7. On the Relationship between Mathematics and Physics according to Günther Ludwig

      • Jochen Geppert, Eduard Krause, Phuong Chi Nguyen, Ngoc Chat Tran
      Pages 137-156

    8. Example 1 – The Cardanos Formula and the Van der Waals Gas

      • Jochen Geppert, Dinh Phuong Vu, Van Bien Nguyen, Ngoc Chat Tran
      Pages 157-180

    9. Example 2 – Linear Differential Operators, Fourier-Series and the RCL-Circuit

      • Jochen Geppert, Dinh Phuong Vu, Van Bien Nguyen, Ngoc Chat Tran
      Pages 181-209

  4. Comparison of Educational Theories

    1. Front Matter

      Pages 211-212
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    2. Individual Concepts in Physics and Mathematics Education

      • Dinh Phuong Vu, Van Bien Nguyen, Simon Friedrich Kraus, Kathrin Holten
      Pages 215-256

    3. Models and Modeling

      • Ngoc Chat Tran, Cam Tho Chu, Kathrin Holten, Henrik Bernshausen
      Pages 257-298

    4. Development of Knowledge in Mathematics and Physics Education

      • Frederik Dilling, Ina Stricker, Ngoc Chat Tran, Dinh Phuong Vu
      Pages 299-344

    5. Problem Solving

      • Van Bien Nguyen, Eduard Krause, Cam Tho Chu
      Pages 345-368

    6. Conclusive Remarks

      • Simon Friedrich Kraus, Eduard Krause
      Pages 369-376

  5. Back Matter

    Pages 377-382
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Keywords

About this book

This volume, which is the output of a DAAD-funded collaboration between the University of Siegen and the Hanoi National University of Education, discusses and summarizes theoretical foundations of common grounds of mathematics and physics education. This interdisciplinary perspective enables especially teachers who have only been trained in one of these subjects to enrich their pedagogical content knowledge. The starting point is a description of characteristics of the disciplines and their historical genesis, followed by comparative studies. This edited volume brings together thirteen stimulating contributions on educational aspects of both disciplines written jointly by experienced researchers from Germany and Vietnam.

Editors and Affiliations

  • Department of Physics – Physics Education, Universität Siegen, Siegen, Germany

    Simon Friedrich Kraus

  • Department of Mathematics – Mathematics Education, Universität Siegen, Siegen, Germany

    Eduard Krause

About the editors

Dr. Eduard Krause and Dr. Simon Friedrich Kraus are currently working as researchers at the Mathematics and Physics Departments at the University of Siegen, Germany. Their research focuses on comparative approaches regarding mathematics and physics education in order to explore differences and synergies. They are also interested in the question of cultural influences on the learning of mathematics and physics.












Bibliographic Information

  • Book Title: Comparison of Mathematics and Physics Education I

  • Book Subtitle: Theoretical Foundations for Interdisciplinary Collaboration

  • Editors: Simon Friedrich Kraus, Eduard Krause

  • Series Title: MINTUS – Beiträge zur mathematisch-naturwissenschaftlichen Bildung

  • DOI: https://doi.org/10.1007/978-3-658-29880-7

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Education, Education (R0)

  • Copyright Information: Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2020

  • Softcover ISBN: 978-3-658-29879-1Published: 30 April 2020

  • eBook ISBN: 978-3-658-29880-7Published: 29 April 2020

  • Series ISSN: 2661-8060

  • Series E-ISSN: 2661-8079

  • Edition Number: 1

  • Number of Pages: XX, 382

  • Number of Illustrations: 61 b/w illustrations, 13 illustrations in colour

  • Topics: Mathematics Education, Science Education, Education, general

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