数学教学就是要教学生会进行有目的的思考。教师应采用一切手段去教学生推理和证明。 “发现学习”是指学生通过自我发现的方式进行学习。这种学习方法有利于激发学生智慧潜力,培养自觉用脑等优点。但并非传授知识的首要方法,由于课时限制,更无法在中小学数学教学中推广。“解决问题”是一种高级学习,主要解决定理、习题、竞赛题等。而定理、概念的学习是学生首次遇到,往往是教师讲得多,学生并没有多少独立解决问题的机会,易生搬硬套,更易陷入题海之中。而“反映性教学”包含了“发现学习”和“解决问题“的精华—即学生对问题的思索、探究。“反映性”教学是以师生共同探究为特征的。不但重视教师教法,而且还重视学生学习过程。既解决了问题,又 Mathematics teaching is to teach students will be purposeful thinking. Teachers should use all means to teach students reasoning and proof. “Discover learning” refers to students learning through self-discovery. This learning method is conducive to stimulating the students' potential for intelligence and cultivating their own mind. However, it is not the primary method of imparting knowledge. It is even more difficult to promote it in primary and secondary mathematics teaching because of the limitation of time. “Solve the problem” is a kind of advanced learning, mainly to solve the theorem, exercises, competition questions. The theorem, the concept of learning is the first time students encounter, often speaking more teachers, students do not have many opportunities to solve the problem independently, easy to apply rigid, more likely to fall into the sea. The “reflective teaching” contains the essence of “discovering learning” and “solving problems” - that is, students' thinking and exploring of the problem. “Reflective” teaching is characterized by the common exploration of teachers and students. Not only pay attention to the teaching of teachers, but also attach importance to students learning process. Both solve the problem, again