Research on Methods and Strategies of Higher Mathematics Teaching

文章聚焦高等教育阶段数学课程的教学困境，通过分析当前教学模式存在的结构性矛盾，论证教学创新的实践价值，围绕激发学生自驱力、学科核心能力培养、教学效能提升及数字化工具应用等多个维度展开。总结了教学中应用费曼教学法的五个步骤，提出了基于认知科学和信息化技术的分层教学方案，为后续研究提供了理论支撑。This article focuses on the teaching difficulties of mathematics courses in higher education. By analyzing the structural contradictions in the current teaching mode and demonstrating the practical value of teaching innovation, it explores multiple dimensions, such as stimulating students’ self-driving force, cultivating core subject abilities, improving teaching efficiency, and applying digital tools. It summarizes the five steps of applying Feynman teaching method in teaching, and proposes a layered teaching plan based on cognitive science and information technology, providing theoretical support for subsequent research.