数学与思政共鸣：高职院校课程融合的深度解码与路径优化

Resonance between Mathematics and Ideological-Political Education: In-Depth Decoding and Path Optimization of Curriculum Integration in Higher Vocational Colleges

摘要: 近年来，新一轮课程改革浪潮聚焦于思想政治教育目标的达成，推动教育与课程不断创新。此轮改革致力于将理论知识、价值观及精神追求渗透于各专业课程的思想政治教育之中，形成了思想政治教育跨学科协同的新路径。然而，当前国内数学课程思政研究多集中于理论思辨，实证检验不足，融合案例同质化问题突出，在高职数学课堂上融入思想政治教育，对学生的全面发展、社会责任感及道德素质的提升大有裨益。作为高职理工科的必修课程，高等数学因其普及性和基础性，在思政教育中具备得天独厚的优势。故而，本文以“定积分的应用”为具体教学单元，借鉴“三段六步四融合”等混合式教学模式与数学建模思政实践案例，探索数学课程与思政教育的有效融合路径。

Abstract: In recent years, the new round of curriculum reform has focused on achieving the goals of ideological and political education, promoting continuous innovation in education and curriculum. This round of reform is committed to integrating theoretical knowledge, values, and spiritual pursuits into ideological and political education in various professional courses, forming a new path of interdisciplinary collaboration in ideological and political education. However, at present, domestic research on ideological and political education in mathematics courses is mostly concentrated on theoretical speculation, with insufficient empirical verification and prominent problems of homogenization in integration cases. Integrating ideological and political education into the mathematics classroom in higher vocational colleges is of great benefit to the all-round development of students, the enhancement of their sense of social responsibility, and the improvement of their moral quality. As a compulsory course in higher vocational science and engineering, advanced mathematics, due to its popularity and fundamentality, has unique advantages in ideological and political education. Therefore, this paper takes “Applications of Definite Integrals” as a specific teaching unit, drawing on the “Three Segments, Six Steps, Four Integrations” and other blended teaching models and ideological and political practice cases of mathematical modeling, to explore effective integration paths of mathematics courses and ideological and political education.