教学实践证明,数学的知识不只是逻辑推理,这些固然重要,但还有实验。数学教育家G.波利亚指出:“数学有两个侧面,一方面它是欧几里得式严谨的科学,从这方面看数学像是一门系统的演绎科学;但另一方面,创造过程中的数学看起来却像一门实验性的归纳科学。”这就要求数学课堂教学既要充分体现它的形式化、抽象化的一面,又必须重 Teaching practice has proved that mathematical knowledge is not only logical reasoning, these are important, but there are experiments. Mathematical educator G. Polia pointed out: “Mathematics has two sides, on the one hand it is a Euclidean rigorous science, and in this respect mathematics is like a systematic deductive science. On the other hand, The mathematics in the process of creation looks like an experimental inductive science. ”This requires that mathematics classroom teaching not only fully reflect its formalized and abstract side, but also must weigh