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现在,常听到一些埋怨:“许多学生高分低能,只会模仿解题。”这种现象的原因是复杂的,但数学教学中忽略合情推理是重要原因之一。 数学通常被认为是一门以严格论证为特征的演绎科学,因此一般教师在教学中都比较重视论证的教学。笔者认为,这是一种偏见。呈现在我们面前的是数学结论及其证明过程。它是数学家创造工作结出的果实,是数学建造过程的尾声,但是数学家为此而探索、奋斗的过程却往往是漫长的、默
Now, I often hear some complaints: “Many students score low and only imitate problem solving.” The reason for this phenomenon is complicated, but negligence of reasoning in math teaching is one of the important reasons. Mathematics is generally regarded as a deductive science characterized by rigorous argument, so the average teacher in the teaching are more emphasis on demonstration teaching. The author believes that this is a prejudice. What is presented to us is the mathematical conclusion and its proof process. It is the fruit of mathematicians to create work, is the end of the mathematical construction process, but mathematicians to explore for this purpose, but the struggle process is often long, silent