论高等数学教学中学生数学直觉思维的培养

Cultivation of Intuition Thinking in Higher Mathematics Teaching

数学直觉思维能力的培养是目前高等数学教学中常被忽视而又非常重要的实践内容,它对数学创造性思维的培养有着特殊的意义。从七个方面对如何在高等数学中培养学生数学直觉思维能力作了探讨:创设诱发直觉思维的教学情景、注重数形结合的思想方法、鼓励学生大胆猜想、强化整体意识、促进思维定势的正迁移、渗透数学的哲学观点、夯实基础。

The cultivation of mathematical intuition thinking ability is often overlooked in higher mathematics. It is very important practice contents, has special significance in training students＂ mathematical creative thinking. This paper has discussed how to train students＇intuitive mathematical thinking ability in higher mathematics, from seven aspects such as the creation of teaching situation inducing intuitive thinking, emphasis on the thinking ways of number and form, encouraging students to boldly guess, strengthening the overall awareness, promotion of positive transfer of thinking orientation, infiltration of mathematical philosophy and reinforcement of the foundation.