数学在物理学中的应用--概述
Using math in physics -- Overview
摘要：
作为数学的数学和科学中的数学之间的关键区别在于，在科学中，我们将物理知识与数学知识融合在一起，这种融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。学习用数学思考物理而不仅仅是计算，这涉及到一些通常在物理课上被认为是理所当然的（很少教授）的一般科学思维技能。在本文中，我将概述我对这些额外技能的分析。我在随后的论文中提出了帮助学生发展这些技能的具体工具。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
