高等数学混合式分级教学的机制与实践创新——以MATH理念为引领的智能化教学新范式

The Mechanism and Practical Innovation of Hybrid Hierarchical Teaching in Advanced Mathematics—A New Intelligent Teaching Paradigm Guided by the MATH Concept

摘要: 为深入贯彻“两性一度”(高阶性、创新性、挑战度)课程建设标准，针对传统高等数学教学中“重灌输轻引导、重理论轻应用、重统一轻分级、重应试轻过程”的突出问题，重庆科技大学《高等数学》课程团队构建了以MATH (Motivation-动机激发、AI Empower-数智赋能、Task-driven-任务驱动、Hierarchy Achievement-分级达成)教学创新理念为核心的线上线下混合式分级教学体系。通过有机融入课程思政元素，深度融合AI技术与前沿应用案例，系统优化教学内容、教学模式与评价机制，实现了从“知识传授”向“思维训练 + 价值塑造”的教学转型。实践表明，该改革显著提升了学生的学习兴趣、数学应用能力与创新思维，教学质量与育人成效得到有效验证，为理工科公共基础课教学改革提供了可复制、可推广的实践范式。

Abstract: To thoroughly implement the curriculum construction standards of “three characteristics” (high-level, innovative, challenging) and address the prominent problems in traditional higher mathematics teaching such as “emphasizing indoctrination over guidance, theory over application, uniformity over hierarchy achievement, and examination over process”, the teaching team of Higher Mathematics at Chongqing University of Science and Technology has constructed an online-offline blended hierarchical teaching system centered on the MATH (Motivation, AI Empower, Task-driven, Hierarchy achievement) teaching innovation concept. By organically integrating curriculum ideological and political elements, deeply combining AI technology with cutting-edge application cases, and systematically optimizing teaching content, teaching models and evaluation mechanisms, the transformation from “knowledge transmission” to “thinking training + value shaping” has been realized. Practice shows that this reform has significantly improved students’ learning interest, mathematical application ability and innovative thinking, and the teaching quality and education effect have been effectively verified, providing a replicable and promotable practical paradigm for the teaching reform of public basic courses in science and engineering.