解题的第一步首先应是理解问题,但它却常被解题者忽略。一位数学家说过,善于解题的人用一半时间来理解问题,只用另一半时间完成解答,而在波利亚的四阶段解题观(弄清问题,拟订问题,实现计划,回顾)中也首推理解问题。一、关于“理解”按照建构主义的观点,理解应该被看成是一个“意义赋予”(sensemaking)的过程,即如何把新的问题内容与主体已有的知识和经验联系起 The first step in problem solving should first be to understand the problem, but it is often ignored by the solver. One mathematician has said that those who are good at problem-solving use half the time to understand the problem and only half the time to solve the problem, while in Bulgaria the four-phase problem solving concept (clarifying the problem, formulating the problem, implementing the plan, reviewing ) Also devaluation of the problem. I. About “Understanding” In terms of constructivism, understanding should be seen as a process of “sensemaking”, that is, how to relate the content of the new problem to the existing knowledge and experience of the subject