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1引言类比推理与归纳推理都属于合情推理,是新课程新增内容之一.这一内容的增加,旨在引导学生运用常用的推理方法去猜测、探索一些数学结论,有利于创新意识的培养.类比推理的关键在于理解类比的方法,感受数学发现的过程,而不必追求对概念的抽象表述或类比结论的正确性.首先是要有联想,能类比.因为类比推理不是证明,不要求类比结论一定正确,结论错误当属正常.教学重点不是获得正确的结论,而是能使学生会产生联想,主动进行类比,这是第一位的.当然,我们往
1 Introduction Both analogical inference and inductive inference are the merits reasoning, which is one of the new contents of the new curriculum.The increase of this content aims to guide students to use common reasoning methods to guess, explore some mathematical conclusions, is conducive to innovative awareness The key to analogical reasoning is to understand the analogy and feel the process of mathematical discovery, without having to pursue the abstract representation of the concept or the correctness of the analogy conclusion. The first is to have association and analogy. Because analogical reasoning is not proof, not required The conclusion of the analogy must be correct, the conclusion of the error is normal. Teaching is not to get the correct conclusion, but to enable students to associate, take the initiative to analogy, this is the first. Of course, we go