数学物理方法课程综合育人教学与实践——以“一维波动方程的分离变量法”为例

Teaching and Practice in Mathematical Physics Method Course for Comprehensive Education—Taking the “Variable Separation Method to the One-Dimensional Wave Equation” as an Example

摘要: 课程和课堂是育人的主阵地。作为物理学专业的基础课，数学物理方法课程紧密联系着后续理论物理课程，它能极大地提高学生的数学推理能力和物理逻辑思维能力。该课程以高等数学和普通物理为基础，知识内容以“繁、杂、难”著称，教学过程基本是用公式推导，是一门公认的教师难教、学生难学的课程。本文以“一维波动方程的分离变量法”为例，通过对传统教学模式进行改革和创新，建立了“知识传授、能力培养、价值引领”多元统一的教学设计路径，以充分发挥课堂主阵地的综合育人功能。

Abstract: Curriculum and classroom teaching are the main channels for educating people. As a basic course for physics majors, the mathematical physics method course is closely related to the following theoretical physics courses, which can greatly improve students’ mathematical reasoning ability and physical logic thinking ability. This course is based on advanced mathematics and general physics. The knowledge content is known as ‘‘complicated, tedious and difficult’’, and the teaching process is basically derived by formula. It is a recognized course that is difficult for teachers to teach and students to learn. This paper takes ‘‘the method of separating variables of one-dimensional wave equation’’ as an example, and through the reform and innovation of the traditional teaching mode, establishes a diversified and unified teaching design path of ‘‘knowledge teaching, ability training, and value guidance’’, so as to give full play to the comprehensive educational function of the main position of the classroom.