Kraus S.F., Krause E. (Eds.) Comparison of Mathematics and Physics Education I: Theoretical Foundations for Interdisciplinary Collaboration

Springer, 2020. — 393 p. — (MINTUS – Beiträge zur mathematisch-naturwissenschaftlichen Bildung). — ISBN: 978-3-658-29879-1.
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.Interdisciplinarity in School and Teacher Training Programs
Mathematics in History – From an Empirical to a Formalistic Conception
Abstraction as an Essential Characteristic of Modern Mathematics in the Paradigmatic Example of Fermat’s Little Theorem
Mathematics From the Pupils’ Point of View
The Mathematization of Physics Throughout History
The Nature of Science
On the Relationship between Mathematics and Physics according to Günther Ludwig
Example 1 – The Cardanos Formula and the Van der Waals Gas
Example 2 – Linear Differential Operators, Fourier-Series and the RCL-Circuit
Individual Concepts in Physics and Mathematics Education
Models and Modeling
Development of Knowledge in Mathematics and Physics Education
Problem Solving
Conclusive Remarks