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“读史使人明智”,数学教师应多读点数学史。 一、数学史对于理解数学有着难以替代的作用 数学有两个侧面:一方面,以最后确定的形式出现的定型的数学,表面上看来象是笛卡尔所说的“推理的长链”;另一方面,从创造数学的过程来看,却好象是一门实验性的归纳科学.教科书的表述通常都是“落后的”,它隐去了数学发现的思维过程,它的内容的抽象性和逻辑性往往掩盖了数学的本来面貌。这正如英国哲淡家席勒所说:“逻辑
“Reading history makes people wise.” Math teachers should read more about mathematics history. First, the history of mathematics has an irreplaceable role in understanding mathematics. Mathematics has two aspects. On the one hand, the stereotyped mathematics that appear in the finalized form seem to be Descartes’s “long chain of reasoning”; On the other hand, from the point of view of the process of creating mathematics, it seems that it is an experimental induction of science. The expression of textbooks is usually “backward,” which hides the mathematical process of discovery and the abstraction of its content. Sex and logic often mask the original appearance of mathematics. This is the same as the British Philosophers’ Home Schiller: "Logic