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Titlebook: Understanding Physics Using Mathematical Reasoning; A Modeling Approach Andrzej Sokolowski Book 2021 The Editor(s) (if applicable) and The

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发表于 2025-3-21 19:22:40 | 显示全部楼层 |阅读模式
书目名称Understanding Physics Using Mathematical Reasoning
副标题A Modeling Approach
编辑Andrzej Sokolowski
视频video
概述Encourages students to peruse modeling in sciences..Enables students to exercise abstract algebraic concepts in practice..Reflects on widely propagated STEM education
图书封面Titlebook: Understanding Physics Using Mathematical Reasoning; A Modeling Approach  Andrzej Sokolowski Book 2021 The Editor(s) (if applicable) and The
描述.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 photoel
出版日期Book 2021
关键词Mathematical Reasoning; Algebraic modeling in physics; Developing deeper inquiry skills in physics; Exe
版次1
doihttps://doi.org/10.1007/978-3-030-80205-9
isbn_softcover978-3-030-80207-3
isbn_ebook978-3-030-80205-9
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 22:49:49 | 显示全部楼层
The Interface Between the Contents of Physics and Mathematicst knowledge. Subsequently, each subject required different delivery methods. There is though a robust epistemological overlay between these subjects, and exemplifying these intersections is one of this book’s goals. Establishing such a curriculum alignment within the physics scope prompted reaching
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Covariational Reasoning – Theoretical Backgroundn Part III. This chapter presents a current perspective on covariational reasoning and its fit to the proposed modeling discourse. It delves deeper into mathematical representations that can be used during modeling enterprises to reach this goal. Research proved that modeling supported by empirical-
发表于 2025-3-22 13:52:33 | 显示全部楼层
Extending the Inquiry of Newton’s Second Law by Using Limiting Case Analysis by applying limiting case analysis. While inducing algebraic operations such as multiplication or division to solve a physics problem is dictated by the engagement of the parameter of interest within the formula, applying the limits’ techniques is not explicit. Students who have precalculus or calc
发表于 2025-3-22 20:00:59 | 显示全部楼层
Reconstructing Newton’s Law of Universal Gravity as a Covariate Relation equations for an object’s motion when forces . This study contributes to that research; it attempts to generalize possible causes of these challenges by zooming into underlying principles of mutual attractions of two objects and suggest a treatment. A survey of college freshman physics students (N
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Reimaging Lens Equation as a Dynamic Representations paper, an attempt to enrich the generalization of image characteristics by using the concept of covariational analysis and limits is made. Aided by virtual laboratory physics equipment, the limiting case analysis emerged as a powerful and concise tool for learning about image prediction and genera
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Embracing the Mole Understanding in a Covariate Relationy background in applying the mole concept. However, research shows that the complexity of interpretations of quantities expressed as molar mass or atomic mass makes formulating a dimensional analysis with these ratios unclear to physics students. This study proposes proportional reasoning, instead o
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