“数智赋能，交叉融合”背景下高等数学教学的探索与实践

Exploration and Practice of Advanced Mathematics Teaching under the Context of “Digital Intelligence Empowerment and Interdisciplinary Integration”

摘要: 在数智化转型与教育强国建设背景下，高等数学传统教学面临数字化应用浅表化、学科交叉表层化、评价体系单一化等结构性困境。本文以“数智赋能，交叉融合”为双轮驱动，系统构建高等数学教学改革新范式。数智赋能方面，依托学习通、智慧树平台采集学习行为数据，构建多维度学习画像，通过知识点薄弱诊断实现分层推送与精准施教；借助AI辅助工具重塑师生启发式互动与智慧教研共同体。交叉融合方面，通过数学与其它学科的跨学科案例，将数学理论嵌入真实情境，培养学生知识迁移与复杂问题解决能力。实践表明，该模式有效调和了规模化教育与个性化培养的矛盾，显著提升了学生的数学应用意识与创新思维。本研究为普通本科院校高等数学课程的数智化升级与跨学科协同育人提供了可行性的实践方案。

Abstract: Against the backdrop of the ongoing digital-intelligent transformation and the national agenda to build a strong education system, traditional advanced mathematics instruction in higher education faces structural challenges, including superficial adoption of digital tools, limited depth of interdisciplinary integration, and an overly simplistic evaluation framework. This study proposes a novel teaching reform paradigm driven by the dual engines of digital-intelligent empowerment and interdisciplinary integration. In the empowerment strand, learning behavior data collected via platforms such as Superstar Learning (Xuexitong) and Wisdom Tree are leveraged to construct multidimensional learner profiles, enabling tiered resource delivery and precision teaching based on diagnostic identification of knowledge gaps. AI-assisted tools are employed to reshape heuristic teacher-student interaction and foster a collaborative smart teaching and research community. In the interdisciplinary strand, authentic contextualized cases integrating mathematics with other disciplines embed abstract theoretical constructs into real-world scenarios, thereby strengthening students’ capacity for knowledge transfer and complex problem-solving. Practical implementation demonstrates that this model effectively reconciles the tension between large-scale education and individualized cultivation, significantly enhancing students’ awareness of mathematical application and their innovative thinking. The proposed approach offers a feasible and scalable solution for the digital-intelligent upgrading and interdisciplinary collaborative education of advanced mathematics curricula in general undergraduate institutions.