Understanding Physics Using Mathematical Reasoning

Dr. Andrzej Sokolowski, a researcher, and professor of mathematics and physics has an international track record of developing innovative teaching strategies in mathematics, physics, and STEM. His research focuses on integrating curricula of these disciplines through modeling. Andrzej is the author of “Scientific Inquiry in Mathematics– Theory and Practice“ published by Springer, Inc., as well as several book chapters and numerous articles published, among others, in Physics Education Journal, Australian Senior Mathematics Journal, and International Journal of Physics and Chemistry Education. He is also an active reviewer for a number of periodicals including Mathematical Association of America (MAA), International Journal of Mathematical Education in Science and Technology (IJMEST), and IOPscience.

• PART I: Synthesis of current research on developing mathematical reasoning in physics educationChapter 1. The nature of physicsChapter 2 The role of mathematics in learning physicsChapter 3 Challenges of developing mathematical reasoning in physics.Part 2: Developing Theoretical FrameworkChapter 4 Algebraic functions as a tool for predicting system behaviorChapter 5 Functions as a visual aid to visualizing relations between system quantitiesChapter 6 Conceptualizing function attributes.Chapter 7 STEM modeling as a means of converting relations between physical quantities intoPart 3. Collection of Case StudiesChapter 8 Linear functions and modeling uniform motionChapter 9 Linear functions and modeling the photoelectric effectChapter 10 Parametric equations and modeling projectile motionChapter 11 System of equations and modeling Newton’s lawsChapter 12 Rational functions and modeling the Doppler EffectChapter 13 Rational functions and modeling the lens equationChapter 14 Rational functions and modeling parallel connectionsChapter 15 Rational functions and modeling forces of gravityChapter 16 Trigonometric functions and modeling torque