Deep Exploration and Practice of Integrating Ideological and Political Elements into Advanced Mathematics Curriculum —Taking the Teaching of Curvature as an Example

在新时代教育浪潮中，高等数学课程所蕴含的思政教育已成为推动学生全面发展的关键举措。本文以曲率教学为切入点，深入探索课程思政与高等数学教学的融合路径。在梳理融合逻辑的基础上，运用案例分析法挖掘曲率教学中的思政元素。在教学实践中，设定多维度教学目标，采用问题导向、小组合作等教学方法，将思政元素巧妙融入曲率教学过程，为数学基础课教育与思政教育协同育人提供范式参考。In the context of the new era of educational reform, the ideological-political education embedded in advanced mathematics courses has emerged as a pivotal initiative for fostering students’ holistic development. This study takes curvature instruction as an entry point to thoroughly explore the integration pathways between curriculum-based ideological education and advanced mathematics pedagogy. Through systematic analysis of the inherent integration logic and application of case analysis methodology, the research excavates ideological-political elements within curvature teaching. Practical implementation involves establishing multidimensional instructional objectives and adopting pedagogical approaches such as problem-based learning and collaborative group work, thereby artfully infusing ideological-political elements into the curvature teaching process. The outcomes provide paradigmatic references for developing a synergistic educational model that harmonizes fundamental mathematics instruction with ideological-political cultivation.