Research on the Pathways and Practices of Integrating Chinese Philosophy into Advanced Mathematics Teaching

Abstract

Advanced Mathematics is a core theoretical foundation course for science, engineering, and economic management majors in universities, and students' mastery of it directly affects their subsequent professional learning and the development of comprehensive literacy. Due to the high abstractness and strong logicality of the course, students are prone to a sense of fear of difficulty, which reduces their learning well-being and even leads to deviations in self-cognition. With the in-depth advancement of the concept of Curriculum Ideological and Political Education, exploring the inherent alignment between Chinese philosophical thoughts and Advanced Mathematics teaching to realize the synergy of cultural immersion and literacy cultivation has become an important direction of teaching reform. The dialectical thinking and self-cultivation wisdom contained in Chinese philosophy are highly consistent with the educational goals of Advanced Mathematics. Combining core knowledge points of Advanced Mathematics such as extreme values and the infinitesimal method, this paper explores the specific pathways for integrating the core concepts of Chinese philosophy into teaching, provides practical references for the reform of Advanced Mathematics teaching, and promotes the application and inheritance of Chinese philosophical wisdom in science and engineering courses of universities.