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1.一个重要的课题G·波利亚说:已严格地提出的数学是一门系统的演绎科学,而正在形成过程中的数学是一门实验性的归纳科学,教科书呈现在我们面前的大多数正是严格地提出的数学,它直截了当地给出了发现结果,而隐去了发现的过程,可是正是这种发现的过程可以加深对知识的理解与记忆,特别是可以有效地发展创造性思维能力.因此,如何从数学思维的结果出发,回溯数学思维的过程,就成为数学教师备课活动中的一个重要课题,同时也成为贯彻暴露数学思维过程教学
1. An important topic G. Polya said: The mathematics that has been put forward strictly is the deductive science of a system, and the mathematics that is being formed is an experimental induction science. The textbooks are presented in front of us. Most of these mathematics are strictly put forward. It directly gives the discovery results and hides the process of discovery. However, it is precisely this discovery process that can deepen the understanding and memory of knowledge, and in particular can effectively develop creativity. Thinking ability. Therefore, how to proceed from the results of mathematical thinking and backtrack the process of mathematical thinking becomes an important topic in mathematics teachers’ lesson preparation activities. At the same time, it also becomes a method of teaching students to expose mathematical thinking.