​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.

• 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.

​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.

• 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.