数学文化与高等数学课程有机融合的教学探索与实践

Teaching Exploration and Practice of Organic Integration of Mathematical Culture into Advanced Mathematics

摘要: 高等数学是绝大多数理工科专业的学科基础课，与后续专业课的内容联系密切，是最为重要的学科基础课之一。高等数学中蕴含丰富的数学文化知识，本文着重探讨如何将数学文化有机融入到高等数学课程的教学实践，包括课前导入、课堂讲授、课后复习三个环节的全过程教学设计。以教学大纲为基础，恰当好处地融入与教学内容相关的数学史、数学思想和精神、数学之美和数学应用等数学文化元素，有效激发学生的学习兴趣，提高课程教学质量。

Abstract: Advanced Mathematics is a fundamental course for the majority of science and engineering disciplines, closely linked to the content of subsequent specialized courses, and is one of the most important foundational courses. Advanced Mathematics contains rich mathematical cultural knowledge. This paper focuses on exploring how to organically integrate mathematical culture into the teaching practice of the Advanced Mathematics course, including the entire process of instructional design across three phases: pre-class introduction, in-class instruction, and post-class review. Based on the syllabus, it appropriately integrates mathematical cultural elements related to the teaching content, such as the history of mathematics, mathematical ideas and spirit, the beauty of mathematics, and mathematical applications. This method can effectively enhance students’ interest in learning and improve the quality of teaching.