Authors:
- Encourages students to peruse modeling in sciences.
- Enables students to exercise abstract algebraic concepts in practice.
- Reflects on widely propagated STEM education
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Table of contents (13 chapters)
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Front Matter
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Conceptual Background
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Front Matter
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Designing Learning Environments to Promote Math Reasoning in Physics
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Front Matter
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From Research to Practice
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Front Matter
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Back Matter
About this 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.Authors and Affiliations
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Division of Mathematics and Science, Lone Star College, Houston, USA
Andrzej Sokolowski
About the author
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.
Bibliographic Information
Book Title: Understanding Physics Using Mathematical Reasoning
Book Subtitle: A Modeling Approach for Practitioners and Researchers
Authors: Andrzej Sokolowski
DOI: https://doi.org/10.1007/978-3-030-80205-9
Publisher: Springer Cham
eBook Packages: Education, Education (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-80204-2Published: 21 August 2021
Softcover ISBN: 978-3-030-80207-3Published: 22 August 2022
eBook ISBN: 978-3-030-80205-9Published: 20 August 2021
Edition Number: 1
Number of Pages: XI, 208
Number of Illustrations: 18 b/w illustrations, 39 illustrations in colour
Topics: Mathematics Education, Science Education, Mathematical Modeling and Industrial Mathematics