数学教育家波利亚在《数学的发现》一书中指出:教师在课堂上讲了些什么并不重要,而学生想了些什么更重要千万倍。学生的思维应在学生自己的头脑里产生,在讨论的过程中明确概念,教师的作用在于“系统地给学生发现事物的机会,并给予恰当的帮助,让学生亲自去发现尽可能多的东西”。这就是说,教师应该改变偏重于数学结果的教学模式,要把只重结果的教 Polly, a math educator, pointed out in his book The Discovery of Mathematics that it does not matter what the teacher is saying in class, and what the student thinks is something more important than 10 million times. The student’s thinking should be generated in the student’s own mind. During the discussion, the concept of the teacher is to “systematically provide the student with the opportunity to discover things and to give proper help to the students to find out as much as possible thing”. That is to say, teachers should change the teaching mode that emphasizes the result of mathematics, and teach the result-oriented teaching