Interdisciplinary teaching is considered as one of the main goals of education worldwide. At the same time, it poses an immense challenge to teachers who have been trained in only one of the combines subjects. This is true even for closely related disciplines such as mathematics and physics. In this volume, practice-oriented educational comparisons are made across various topics that are highly relevant in both subjects. Furthermore, practical examples are presented in the form of lesson plans in which exemplary implementation in class is presented, considering both educational perspectives.
Introductory Remarks and Concept of the Book.- Historical Relations of
Mathematics and Physics. Educational use of Ludwigs methodology using the
example of the lens equation.- Equations as a tool for hypothesis formulation
in physics.- Comparison: Numbers, Quantities and Units.- Lesson Plan:
Measuring length.- Comparison: Equations in Mathematics and Physics
Education.- Lesson Plan: Trigonometric equations.- Comparison: Functions in
Mathematics and Physics Education.- Lesson Plan: Quadratic functionsgraphs
and applications.- Lesson Plan: Projectile motion.- Lesson Plan: The
dependence of resistance on temperature.- Lesson Plan: Simple Harmonic
Oscillation.- Comparison: Vectors in Mathematics and Physics Education.-
Lesson Plan: Combining forces.- Lesson Plan: Basic concepts related to
vectors.- Comparison: Differential Calculus Through Applications.- Lesson
Plan: Differential Calculus Through Applications.- Lesson Plan: Capacitor
charge and discharge process. Capacitor energy.-Comparison: Stochastics with
a focus on probability theory.- Lesson Plan: Probabilities and Statistics.-
Comparison: Light Rays and the Intercept Theorem in Mathematics and Physics
Education.- Lesson Plan: Straight lines and conic sections.
Frederik Dilling 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.
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