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猜想是一种合情推理,是带有一定直觉的高级认识过程.牛顿说:“没有大胆的猜想,就做不出伟大的发现.”美国著名数学教育家波利亚言:“在数学领域中猜想是合理的,值得尊敬的,是负责的态度,请允许我在此向教授所有班级的数学教师呼吁:让我们教猜想吧!”因此,教师在数学教学中,要重视这种猜想的非逻辑方法.事实上,猜想是解很多数学题的思维起点,通过猜想获得
Guessing is a kind of reasonable reasoning. It is a process of advanced cognition with a certain degree of intuition. Newton said: “Without bold speculations, we cannot make great discoveries.” “The famous American mathematician educator Polya:” The conjecture in the field of mathematics is reasonable and respectable. It is a responsible attitude. Please allow me to appeal to all classes of mathematics teachers here: Let us teach and guess!" Therefore, teachers should pay attention to mathematics teaching. This is a non-logical method of conjecture. In fact, conjecture is the starting point of thinking for solving many mathematics problems. It is obtained through conjecture.