物理学中的数学意义：语义分析
Making Meaning with Math in Physics: A semantic analysis
摘要：
物理学对数学有着强大的应用，但人们对这种应用的方式却知之甚少。专业人士将他们的数学符号与物理意义紧密结合，从而形成了一个强大而富有成效的结构。但是，由于认知系统通过绑定来构建专业知识的方式，专家可能很难拆开他们已经建立的知识，以便理解新手学生在学习他们的主题时遇到的困难。这一点在学生学习使用数学的科目中尤为明显，这些科目是他们以前在数学课上以复杂的新方式接触的。在本文中，我们提出，这种拆包可以通过采用在认知语义学领域发展的思想和方法来促进，认知语义学是语言学的一个分支，致力于理解意义如何与语言相关联。
英文摘要：
Physics makes powerful use of mathematics, yet the way this use is made is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive structure. But because of the way the cognitive system builds expertise through binding, experts may have difficulty in unpacking their well established knowledge in order to understand the difficulties novice students have in learning their subject. This is particularly evident in subjects in which the students are learning to use mathematics to which they have previously been exposed in math classes in complex new ways. In this paper, we propose that some of this unpacking can be facilitated by adopting ideas and methods developed in the field of cognitive semantics, a sub-branch of linguistics devoted to understanding how meaning is associated with language.
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