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数学直觉思维是人们在分析解决问题时快速动用自己所有经验和知识,在对对象作过总体上的观察分析之后,直接触及事物本质,作出假设,然后再对假设作出检验或证明的一种思维方法。它主要表现在对数学对象的敏锐洞察,从而直接猜测和总体把握,在我们找到解答和证明之前,直觉已先帮助我们对结论或解题思路产生预见。然而,在目前中学数学教学中往往偏重于演绎推理的训练,强化形式论证的逻辑的严密性,忽视了直觉思维在解题中
Mathematical intuition thinking is a kind of thinking that people directly touch upon the nature of things and make assumptions after analyzing and solving problems and quickly use all their experience and knowledge to make observations or prove the hypothesis after making an overall observation and analysis of the objects method. It manifests itself mainly in the keen insight into mathematical objects, and hence direct speculation and overall mastery. Until we find answers and proofs, intuition has first helped us to foresee the conclusions or problem-solving ideas. However, in the current middle school mathematics teaching, emphasis is often placed on the training of deductive reasoning, which strengthens the rigor of the logic of formal argumentation and neglects the direct thinking