高等数学课程思政案例设计与教学实践

Ideological and Political Case Design and Teaching Practice in Advanced Mathematics Course

摘要: 高等数学作为理工科专业的基础课程，具有逻辑严密、抽象性强、应用广泛的特点。高等数学是大学数学重要基础课，蕴含着丰富的思政育人资源。本文从高等数学中蕴含的哲学思想、数学家的事迹、实际生活中的应用案例以及数学之美四个方面，探讨如何将课程思政自然融入高等数学教学，并结合一个具体案例在教学中融入课程思政。通过挖掘数学概念背后的哲学思想、数学家的科学精神、数学知识解决实际问题的实践价值以及数学内在的和谐与对称之美，旨在实现知识传授与价值引领的有机统一，培养学生的理性思维、创新意识与人文素养，落实立德树人根本任务。

Abstract: As a fundamental course for science and engineering majors, advanced mathematics is characterized by its rigorous logic, strong abstraction, and wide application. As an important basic course in university mathematics, it contains abundant resources for ideological and political education. This article explores how to naturally integrate ideological and political education into advanced mathematics teaching from four aspects: philosophical thought contained in advanced mathematics, mathematicians’ achievements, practical application cases in real life, and the beauty of mathematics. It also incorporates a specific case study to demonstrate the integration of ideological and political education into the teaching of advanced mathematics. By exploring the philosophical thought behind mathematical concepts, the scientific spirit of mathematicians, the practical value of mathematical knowledge in solving practical problems, and the inherent beauty of harmony and symmetry in mathematics, the aim is to achieve an organic unity of knowledge impartation and value guidance, cultivate students’ rational thinking, innovative consciousness, and humanistic literacy, and fulfill the fundamental task of cultivating students’ moral character.