数学教育家Ｇ·波利亚认为 :“学习任何东西最好的途径是自己去发现 .”而如今的数学课堂教学中 ,教师讲得多 ,学生参与程度低的现象还普遍存在 ,教师为了抢时间、赶进度 ,课堂上没有给学生足够的思考时间和空间 ,学生始终处于被动接受的地位 ,忽视了引导学生自己去发现知识的 The mathematics educator G. Polya believes: “The best way to learn anything is to find out for yourself.” In today’s mathematics classroom teaching, teachers speak much more, and the phenomenon of low student participation is still widespread. Time, progress, the classroom did not give students enough time and space to think, the students are always in a passively accepted position, ignoring the guidance of students to find their own knowledge