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RT Book, Whole SR Electronic DC OPAC T1 Understanding Physics Using Mathematical Reasoning : A Modeling Approach for Practitioners and Researchers / by Andrzej Sokolowski A1 Sokolowski, Andrzej A1 SpringerLink (Online service) YR 2021 FD 2021 SP XI, 208 p. 57 illus., 39 illus. in color K1 Mathematics -- Study and teaching K1 Science -- Study and teaching K1 Mathematical models K1 Mathematics Education K1 Science Education K1 Mathematical Modeling and Industrial Mathematics ED 1st ed. 2021. PB Springer International Publishing : Imprint: Springer PP Cham SN 9783030802059 LA English (英語) CL LCC:QA10.92-20 CL DC23:510.71 NO 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 NO HTTP:URL=https://doi.org/10.1007/978-3-030-80205-9 NO 書誌ID=EB16354636; LK [E Book]https://doi.org/10.1007/978-3-030-80205-9 OL 30