反省能力,是指学生遇到数学问题的时候,能够重新思考自己的解题思路和方法等,然后愿意自主应用全新的思路和方法解决数学问题的一种能力。学生的反省能力越强,就越能突破当前的限制,用新的思路和方法看问题。为了提高学生解决数学问题的能力,高中数学教师要在教学中培养学生的反省能力。一、应用开放习题培养学生的反省能力学生在做传统的数学习题时,会形成一个思维定势:习题会给出所有的条件,解决数学问题的目的是为了求得题目要求的结果。学生形成了这种封闭式的思维,有时便会失去反省的 Reflective ability means that when students encounter mathematical problems, they can rethink their own ideas and methods of solving problems, and then they are willing to independently apply new ideas and methods to solve their mathematical problems. The more introspective students are, the more they can break through the current restrictions and use new ideas and methods to look at the problems. In order to improve the ability of students to solve mathematical problems, high school mathematics teachers should cultivate students’ self-examination ability in teaching. First, the application of open exercise to develop students’ self-examination ability Students doing traditional mathematical exercises, will form a mindset: Exercises will give all the conditions, the purpose of solving mathematical problems is to seek the results of the subject requirements. Students form this closed-minded thinking, and sometimes lose their reflection