Understanding Physics Using Mathematical Reasoning
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Understanding Physics Using Mathematical Reasoning: A Modeling Approach for Practitioners and Researchers

Understanding Physics Using Mathematical Reasoning: A Modeling Approach for Practitioners and Researchers

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About the Book

This book speaks about physics discoveries that intertwine mathematical reasoning, modeling, and scientific inquiry. It offers ways of bringing together the structural domain of mathematics and the content of physics in one coherent inquiry. Teaching and learning physics is challenging because students lack the skills to merge these learning paradigms. The purpose of this book is not only to improve access to the understanding of natural phenomena but also to inspire new ways of delivering and understanding the complex concepts of physics. To sustain physics education in college classrooms, authentic training that would help develop high school students’ skills of transcending function modeling techniques to reason scientifically is needed and this book aspires to offer such training The book draws on current research in developing students’ mathematical reasoning. It identifies areas for advancements and proposes a conceptual framework that is tested in several case studies designed using that framework. Modeling Newton’s laws using limited case analysis, Modeling projectile motion using parametric equations and Enabling covariational reasoning in Einstein formula for the photoelectric effect represent some of these case studies. A wealth of conclusions that accompany these case studies, drawn from the realities of classroom teaching, is to help physics teachers and researchers adopt these ideas in practice.

Table of Contents:
PART I: Synthesis of current research on developing mathematical reasoning in physics educationChapter 1. The nature of physics Chapter 2 The role of mathematics in learning physics Chapter 3 Challenges of developing mathematical reasoning in physics. Part 2: Developing Theoretical Framework Chapter 4 Algebraic functions as a tool for predicting system behavior Chapter 5 Functions as a visual aid to visualizing relations between system quantities Chapter 6 Conceptualizing function attributes. Chapter 7 STEM modeling as a means of converting relations between physical quantities into Part 3. Collection of Case Studies Chapter 8 Linear functions and modeling uniform motion Chapter 9 Linear functions and modeling the photoelectric effect Chapter 10 Parametric equations and modeling projectile motion Chapter 11 System of equations and modeling Newton’s laws Chapter 12 Rational functions and modeling the Doppler Effect Chapter 13 Rational functions and modeling the lens equation Chapter 14 Rational functions and modeling parallel connections Chapter 15 Rational functions and modeling forces of gravity Chapter 16 Trigonometric functions and modeling torque


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Product Details
  • ISBN-13: 9783030802042
  • Publisher: Springer Nature Switzerland AG
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Sub Title: A Modeling Approach for Practitioners and Researchers
  • ISBN-10: 3030802043
  • Publisher Date: 21 Aug 2021
  • Height: 235 mm
  • No of Pages: 208
  • Returnable: Y
  • Width: 155 mm


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Understanding Physics Using Mathematical Reasoning: A Modeling Approach for Practitioners and Researchers
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