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在数学教学中,学生常常提到这样的问题:“这种方法你是怎么想到的?我为什么想不到?”回答很简单:“凭直觉。”“直觉是从哪里来的?”这个问题是很难回答的。实际上,解数学问题最初往往是凭直觉,而直觉思维是指人们凭借已有知识组块和解题经验通过观察、分析快速发现解决问题的方式或途径的一种思维方式。而学生所提出的问题,说明了他们解题时缺少直觉思维的素材。因此,要提高学生的解题能力,我们必须拓展学生直觉思维的空间。拓展学生直觉思维空间的面较广,本文仅从三个方面谈谈如何拓展学生直觉思维的空间。
In mathematics teaching, students often mention the following questions: “How did you think about this method? Why can not I think?” “The answer is simple: ” Intuition. “” Intuition is from where? "This question is difficult to answer. In fact, the problem of solving mathematics is usually intuition at first. Intuitive thinking refers to the way of thinking that people quickly discover and find solutions to problems by observing and analyzing existing knowledge blocks and problem-solving experience. The problems raised by the students illustrate the lack of intuitive thinking when they solve the problem. Therefore, to improve students ’ability to solve problems, we must expand students’ intuition thinking space. Expand students ’intuition thinking space is broader, this article only discusses how to expand students’ intuition thinking space from three aspects.