论文标题
在物理学中使用数学 - 概述
Using math in physics -- Overview
论文作者
论文摘要
数学和数学在科学中的关键区别在于，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对数学的意义，甚至改变了我们解释数学方程式的方式。学习用数学来思考物理学而不仅仅是计算物理学涉及许多一般的科学思维技能，这些技能通常被认为是理所当然（并且很少教）的物理课程。在本文中，我概述了我对这些额外技能的分析。我建议在随后的论文中帮助学生发展这些技能的特定工具。
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.
