从认知语义学的视角看数学方法在物理学中的应用

APPLICATION OF MATHEMATICAL METHODS IN PHYSICS FROM THE PERSPECTIVE OF COGNITIVE SEMANTICS

数学和物理是两门联系密切的学科,掌握一定的数学方法对学好物理知识具有重要的作用,但当前的大学生经常不能将数学方法很好地融入物理学应用中。数学之于物理好比语言之于生活,认知语义学在研究语言和人类认知世界之间的关系时提出了具身体验、百科观、语境等认知机制,将这些认知机制映合到人们通过数学方法认知物理规律的过程中,可以发现当前有关高等数学和大学物理教学中存在的问题。文章通过案例分析研究学生的认识论和认知过程,可为问题的解决提供有益的帮助和解决思路。

Mathematics and physics are two disciplines which are closely related to each other. It is of great significance to master a certain mathematical method for learning physical knowledge. However, many current undergraduates cannot integrate mathematical methods into physical applications.“Mathematics to physics” is just like “languages to life”. Cognitive semantics gives some cognitive mechanisms including embodiment, encyclopedic view, and context during studying the relationship between languages and human cognition of the world. When these cognitive mechanisms are applied into the procedure of cognizing the laws of physics through mathematical methods for undergraduates, they can be used to find the possible problems existing in the teachings of advanced mathematics and college physics. Studying the epistemologies and cognitive processes of undergraduates by case analyses can provide beneficial help and solutions for solving these problems.