解题反思可使理解进入深层结构,进而诱发新的想法,展开新的探究,在探究中升华,在升华中让能力生根。数学离不开解题,怎样解题?怎样从解题中获得数学能力。著名数学家乔治·波利亚将人解决问题时思维的自然过程分成四个阶段——弄清问题、拟定计划、实现计划、回顾。即理解题意、思路探求、书写表达、回顾反思。波利亚认为,“回顾”是最容易被忽视的阶段,他将其作为解题的必要环节而固定下来,有两个层面的回顾反思,一个是解题层面的回顾反 Reflections and introspection can make understanding into the deep structure, thereby inducing new ideas, new inquiry, sublimation in inquiry, and empowerment in sublimation. Mathematics is inseparable from solving problems, how to solve problems? How to solve math problems. The famous mathematician George Polia divided the natural process of thinking in man’s solution to four stages - to understand the problems, to draw up plans, to make plans, to review them. That is understand the questions, ideas to explore, writing expression, review reflection. Poli believes that “retrospective ” is the most easily overlooked phase, he fixed it as an essential part of the problem-solving, there are two levels of retrospective reflection, one is the level of problem-solving retrospective