《凸优化》课程思政教学案例设计与改革构想

Design of Teaching Cases and Reform Conception for Curriculum-Based Ideological and Political Education in “Convex Optimization”

摘要: 课程思政是当今高等教育领域盛行的教学理念，其核心目的在于将思想政治教育元素有机融入各类课程之中，实现全员、全程、全课程的育人格局，形成协同效应，最终落实“立德树人”的根本任务。为了更好地将专业课程与课程思政相结合，本文以大连海事大学研究生课程“凸优化”的教学内容为基础，从课程思政的研究背景、在研究生课程中进行课程思政建设的必要性、“凸优化”的课程介绍等方面出发，系统探究了如何在凸优化课程教学过程中巧妙引入“立德树人”教育理念和思政元素。本文设计了五个具有代表性的课程思政教学案例，涵盖凸函数的扩展值延伸、凸函数的判定方法、线性规划、Lagrange对偶问题以及强弱对偶定理等核心教学内容，深度挖掘其中蕴含的哲学思想与育人价值。研究表明，将数学专业课程的严谨性与思想政治教育的人文性有机融合，不仅能够提升学生的专业素养，更能培养学生的家国情怀、创新精神与责任担当意识，为培养德才兼备的高素质海事人才提供有益借鉴。

Abstract: Curriculum-based ideological and political education is a prevailing teaching concept in today’s higher education field. Its core objective is to organically integrate ideological and political education elements into various courses, achieve an all-staff, all-process, and all-course education pattern, form a synergy effect, and ultimately fulfill the fundamental task of “cultivating virtue and nurturing talent”. In order to better integrate professional courses with ideological and political education in courses, based on the teaching content of the postgraduate course “Convex Optimization” of Dalian Maritime University, this paper starts from aspects such as the research background of ideological and political education in courses, the necessity of conducting ideological and political education in postgraduate courses, and the introduction of the “Convex Optimization” course. This paper systematically explored how to ingeniously introduce the educational concept of “moral education and talent cultivation” and ideological and political elements into the teaching process of convex optimization courses. This paper designs five representative teaching cases of ideological and political education in courses, covering core teaching contents such as the extension of the extended value of convex functions, the determination methods of convex functions, linear programming, the Lagrange duality problem, and the strong and weak duality theorem, and deeply explores the philosophical ideas and educational values contained therein. Research shows that organically integrating the rigor of mathematics professional courses with the humanistic nature of ideological and political education can not only enhance students’ professional qualities, but also cultivate their sense of patriotism, innovative spirit and sense of responsibility, providing a useful reference for cultivating high-quality maritime talents with both moral integrity and professional competence.