思维导图在大学数学教学中的应用

Application of Mind Mapping in College Mathematics Teaching

摘要: 大学数学类的教材内容科学严谨，概念精准、性质完备，但个别概念出现较为突兀，或者知识点与实际的联系不够。因此，教师需根据教学目标、课程特点和学生情况精心设计教学方式，启发学生积极思考，锻炼思维，拓宽思路，提升兴趣。本文提出了基于思维导图模式的教学方法，以《计算方法》中“最佳平方逼近”一节的教学设计为例，展示了整个教学思路和过程。从作业效果和学生反馈来看，该教学方法取得了较好的教学效果。

Abstract: The teaching materials of university mathematics are scientific and rigorous in content, precise in concept and complete in nature, but some concepts are abrupt or the connection between knowledge points and reality is not enough. Therefore, teachers need to carefully design teaching methods according to teaching objectives, course characteristics and students’ situation, so as to inspire students to think actively, exercise and broaden their thinking and enhance their interest. This paper proposes a teaching method based on mind map mode, taking the teaching design of “optimal square approximation” in Numerical Analysis as an example to show the whole teaching idea and process. From the perspective of homework effects and students’ feedback, the teaching method has achieved good teaching effect.