图表法在高等数学中的应用研究——以曲线积分和曲面积分为例

Research on the Application of Chart Method in Higher Mathematics—Taking Curvilinear Integral and Surface Integral as Examples

图表法教学是运用图形、符号、表格等手段辅助教学,将知识、信息、思想等直观化的方法。基于高等数学中曲线积分和曲面积分的教学内容多、抽象概念多、公式之间的关系多、学生难掌握等特点,本文利用思维导图和列表式相结合,从章节的整体到知识点局部的分解,制作相应的图表,帮助学生理清思路、提升记忆,构建高效学习知识体系和培养学生创新思维。

Chart teaching is the use of graphics, symbols, tables and other means to assist teaching, know-ledge, information, ideas and other intuitive methods. Based on the characteristics of curvilinear integral and surface integral in higher mathematics, such as more teaching content, more abstract concepts, more relations between formulas, and more difficult for students to master. Using a combination of mind maps and lists, From the whole of chapters to the partial decomposition of knowledge points, corresponding charts are made to help students clarify their thoughts, improve their memory, build an efficient learning knowledge system and cultivate students’ innovative thinking.