谈数学直觉思维的培养策略

Strategies for the Cultivation of Mathematic Intuitive Thinking

数学直觉思维是以一定的知识经验为基础,通过对数学对象的结构及其关系作整体观察,在一瞬间领悟到对象的某方面的本质,从而迅速做出判断的一种认知能力.学生一旦有了某个知识的数学直觉,就可加深对该知识的理解,既提升了学生的形象思维,又对抽象思维予以支撑,有利于认清数学本质.在具体的数学教学中,要通过创设数学实验、增强直觉感知,展示实物模型、提升直觉能力,寻找数学原型、加深直觉认识,借助联想思维、拓展直觉深度等策略,来培养中学生的数学直觉思维能力.

Mathematic intuition thinking is a cognitive ability, which can help one make a judgement quickly on the basis of certain knowledge and experience , by a overall observation of the object( and its constitution and relationships ) of mathematics.Once a student gets mathematic intuition for certain knowledge, he/she can have deeper understanding of it, which will promote his/her imagery thinking as well as abstract thinking, soas to recognize the nature of mathematics. In specific mathematics teaching, we can follow four strategies to cultivatemiddle school students’ability of intuitive thinking: enhance students’perceptual intuition by create mathematic experiment; promote their intuitive abilities by physical model demonstrating; deepen their intuition cognition by finding mathematic prototype; expand depth of their intuition by the help of associative thinking,etc.