合情推理是指合乎情理的、好像是真的推理,因此又被称为似真推理.其清晰程度并不能与数学中的论证推理相比,并没有固定的逻辑,仅仅只是笼统的但又合乎情理的推理.因此合情推理并不能获得所有人的认同,但是尽管如此,合情推理在数学中依然有论证推理不能替代的作用,它对于数学的创造性发展有着重大意义.一、合情推理的数学教学意义“合情推理”一词,很早就出现在G·波利亚的《数学与猜想》一文中,在这前后,也已经有许多学者对合情推理进行了 Affirmative reasoning is reasonable and appears to be true reasoning, and therefore it is called plausible reasoning. Its clarity can not be compared with mathematical inference reasoning, and there is no fixed logic, it is just general but Reasonable reasoning, therefore, reasonable reasoning can not get all the people agree, but in spite of reasoning reasoning in mathematics there is still argumentation reason can not be replaced, it is of great significance for the creative development of mathematics. The reasoning of mathematical teaching of reasoning The word “reasonable reasoning ” has long appeared in G · Polia’s “Mathematics and Conjecture,” a text before and after, there have been many scholars have conducted reasoning