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人们在创造性活动中,往往需要揭露已知与未知的矛盾,力图探索、创新,找出多种可能解决问题的方案或假说,使问题(或矛盾)得到解决,这就是求异思维的过程。解决某些问题,有时不以详尽分析的演绎步骤为中介,直接而迅速地得到推测性的结论,这就是直觉思维的结果。在数学教学中应当充分运用教材中的有关材料,促进学生这两种思维的发展。
In creative activities, people often need to expose the contradiction between known and unknown and try to explore and innovate to find out a variety of solutions or hypotheses that may solve the problem so that the problem (or contradiction) is resolved. This is the process of seeking differences. To solve certain problems, sometimes it is not the result of detailed analysis of the deduction steps that directly and quickly leads to speculative conclusions. This is the result of intuitive thinking. In mathematics teaching, relevant materials in teaching materials should be fully utilized to promote the development of these two kinds of thinking.