Using Math in Physics: Overview

Using Math in Physics: Overview
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在物理中使用数学:概述

DOI:
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发表时间:
2020
期刊:
The Physics Teacher
影响因子:
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通讯作者:
E. Redish
E. Redish
中科院分区:
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文献类型:
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作者:
E. Redish

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作为数学的数学和科学中的数学之间的主要区别在于,在科学中,我们将物理知识与数学知识相结合。这种混合改变了我们赋予数学意义的方式,甚至改变了我们解释数学方程的方式。学习用数学来思考物理而不仅仅是计算涉及到许多一般的科学思维技能,这些技能在物理课上通常被认为是理所当然的(并且很少教授)。在本文中,我概述了我对这些附加技能的分析。我在后续论文中提出了帮助学生发展这些技能的具体工具。
The key difference between math as math and math in science is that in science we blend our physical knowledge with our knowledge of math. This blending changes the way we put meaning to math and even to the way we interpret mathematical equations. Learning to think about physics with math instead of just calculating involves a number of general scientific thinking skills that are often taken for granted (and rarely taught) in physics classes. In this paper, I give an overview of my analysis of these additional skills. I propose specific tools for helping students develop these skills in subsequent papers.