摘要
"数""形"结合法作为经典的数学思想方法之一,在高等数学教学中发挥着重要的作用.本文从以"形"助"数"、以"数"解"形"及实现"数""形"转换的角度,探讨了"数""形"结合思想在深化理解概念、直观解释定理、探寻解题思路、增强求简意识、培养创新意识等五个方面的应用,旨在帮助学生体会"数""形"结合思想方法的优越性,迅速把握问题的本质,提高分析解决问题的能力.
As one of the classical thinking process, number-form combination plays an important role in higher mathematics teaching. This paper, taking the view point from ＂number＂ to ＂form＂ and from ＂form＂ to ＂number＂, discusses five advantages of number-form method： understanding concepts deeply, inter- preting theorems intuitively, exploring problem solving ideas, strengthening the consciousness of simpleness, cultivating form combi the innovative consciousness. The aim is to help students realize the superiority of the number- nation method, grasp quickly the essence, and improve the ability of problem solving.
出处
《高等数学研究》
2017年第6期54-57,共4页
Studies in College Mathematics
关键词
高等数学
数形结合
应用
higher mathematics, number-form combination, application
