Introductory Remarks and Concept of the Book.- Historical Relations of Mathematics and Physics. - Educational use of Ludwig's 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 functions-graphs 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.
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