课程思政视域下常微分方程教学改革与实践探索

Teaching Reform and Practical Exploration of Ordinary Differential Equations from the Perspective of Curriculum Ideological and Political Education

摘要: 常微分方程属于高等学校的理工科主要基础课程，既是数学理论与实际应用之间的桥梁，又是思政教育资源的大宝库。本文针对课程抽象性大、教学难度高、思政融入容易产生两张皮的问题，从Outcome-Based-Education (OBE)根据理念和“六位一体”的融合思路，系统挖掘课程中的思政元素，用典型案例设计和教学实践，提出从历史脉络、哲学思维、科学精神、家国情怀、应用实践等多方面进行融合的策略，实现知识传授、能力培养和价值引领的有机统一，为理工科课程思政教学改革提供参考。

Abstract: Ordinary differential equations are an essential foundation course for students majoring in science and engineering at universities. It not only serves as a bridge linking mathematical knowledge and practical application problems but also has a rich source of ideological and political education. In response to the issues of the course’s high level of abstraction, teaching difficulties, and the tendency for ideological and political integration to become superficial or disconnected, this paper is grounded in the Outcome-Based Education (OBE) philosophy and a “six-in-one” integrated approach, systematically looking for ideological and political elements in the curriculum. Through the design of typical cases and practice, it is designed to propose integration strategies related to history, philosophy, science, nationality, and practice, to achieve the organic unification of imparting knowledge, cultivating ability, and guiding values, and to provide examples for ideological and political teaching in science and engineering courses.