Second, let students explore independently, and the best way to cultivate students' exploratory thinking and learning knowledge is to discover by themselves, because this discovery is the most profound and the easiest to grasp the internal laws, essence and connections. In order to make students actively participate in the teaching process, teachers must actively guide students to observe, think and explore, so that students can discover scientific truth themselves, learn to explore knowledge, taste the joy of successful exploration, and stimulate students' internal drive to participate in learning. For example, in the teaching of understanding the circle, let students take out the disc, touch it with their hands and feel the area of the circle, so that students can sum up the meaning of the circle area on the basis of fully and intuitively perceiving the circle area. Then ask the students to recall the area calculation formulas of parallelogram, triangle and trapezoid they have learned before. What method was used to export it? So as to guide the transformation and inspire students to recall the derivation process of parallelogram, triangle and trapezoid area calculation formulas. Stimulate students' interest in exploring new knowledge with old knowledge, and clearly use the transformed mathematical thinking method. So as to cultivate students' ability of observation, language expression and hands-on operation.
Third, strengthen thinking training and train the breadth of thinking. A person's innovative thinking ability is closely related to his thinking ability. A person's thinking ability is poor, and his innovation ability is bound to be poor. Therefore, in order to cultivate students' innovative ability, we must strengthen thinking training. In teaching, teachers should repeatedly carry out training with multiple solutions to one problem, carefully design exercises with levels, slopes, clear requirements and changeable problems, so that students can explore shortcuts to solving problems through training and the breadth of thinking can be continuously developed. Students climb step by step in multi-level exercises, which not only increases their knowledge, improves their ability, but also strengthens their thinking.
In short, the cultivation of students' thinking ability can not be completed overnight, it is a long-term task. Therefore, as a teacher, every class should cultivate students' thinking ability, and it is more important to teach students how to think than how to do problems.