Under the new era's "comprehensive ideological and political education framework, integrating value guidance into public foundation courses remains a core challenge in higher education reform. As a cornerstone of science and engineering disciplines, advanced mathematics' high abstraction often creates a disconnect between ideological education and specialized instruction. This paper proposes a new pathway for integrating ideological and political education into advanced mathematics courses by leveraging "Mathematical Modeling" as an entry point.First, it analyzes the intrinsic educational logic of mathematical modeling in cultivating scientific spirit, embodying dialectical materialist thinking, and inspiring patriotic sentiments. Second, it details specific implementation pathways through three dimensions: deep mining of case libraries, implicit integration into teaching segments, and extension into extracurricular practice. Finally, it proposes safeguarding measures across three dimensions: faculty competency, digital transformation, and multidimensional evaluation systems. The study demonstrates that mathematical modeling serves as a vehicle for deeply integrating mathematical rationality with humanistic spirit, effectively enhancing students' sense of social responsibility and innovative practical abilities, thereby providing robust support for cultivating science and engineering talent in private universities.

Xuemei Peng. Research on Curriculum Ideology and Politics Teaching in Higher Mathematics: A Perspective of Mathematical Modeling. International Journal of New Developments in Education (2026), Vol. 8, Issue 2: 34-38. https://doi.org/10.25236/IJNDE.2026.080205.

[1] Gao Deyi, Zong Aidong. From Ideological and Political Courses to Ideological and Political Education in Courses: Constructing a Higher Education Ideological and Political Education Curriculum System from a Strategic Perspective. Chinese Higher Education, 2017(01): 43-46.

[2] Gu Pei. Uncovering Ideological and Political Elements in Mathematics Courses. Chinese University Teaching, 2020(02): 15-18.

[3] Xuan Conghua, Jiang Yingjun. Exploration and Practice of Integrating Ideological and Political Education into Higher Mathematics Instruction. Journal of Mathematics Education, 2021, 30(02): 89-93.

[4] Wang Hongzhou, et al. Exploration of Ideological and Political Elements in Mathematical Modeling Cases and Teaching Practice. Mathematics for Engineering, 2022,38(04): 102-107.

[5] Zhang Wenbo, Liu Weifeng. Research on Teaching Reform of "Curriculum Ideological and Political Education" in Higher Education Institutions Using Mathematical Modeling Competitions as a Vehicle. Education Theory and Practice, 2020, 40(27): 54-56.