高等数学教学中直觉思维能力的培养

直觉思维是一种与逻辑思维、形象思维并列的基本思维方式。数学直觉思维就是直觉空间对知识空间的作用。现代数学的抽象性和逻辑严谨性往往掩盖了直觉思维的存在及其重要作用,导致数学教学中越来越偏向于对定型的、记忆性知识的灌输,忽视了学生的想象力、创造力的培养。因此,在高等数学教学中,从数学知识的学习入手,重视培养学生的数学直觉思维能力,并从数学中学来的方法里概括出思想,从而把学生培养成懂得数学科学的人,使他们能够较得心应手地运用数学知识,更重要的是能够运用数学思想去处理实际问题。

On How to Cultivate the Intuition Thinking in Higher Mathematics Teaching

Intuition Thinking is a kind of basic thinking methods in parallel with Logical Thinking and Thinking in Images. The Intuition Thinking in mathematics is namely the effect of intuition on mathematic knowledge. The abstractness and rigour of logic of modem Mathematics often enshroud the exsitance and importance of Intuition Thinking, which lead to more and more tendentiously on teaching modeling and memorial knowledge in Mathematics, ignoring the training of imagination and creation. So, in the process of higher mathematics teaching, we should attach importance to cultivating students＇ Intuition Thinking based on learning mathematic knowledge and summarize the ideas of mathematic methods. So as to cultivate students to understand mathematical science, let them use mathematical knowledge easily , moreover, be able to deal with practical problems with mathematical thinking.