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数学能力的培养是多方面的,而逆向思维能力的培养是数学思维中的创新能力培养的重要途径和方式。首先要认识到逆向思维是正向思维的补充,在教学中要引导学生对教学定义、定理、概念的逆向思考和运用;其次要认识到逆向思维是发散的,在对学生进行思维能力训练时,要注意学生的发散思维能力的培养,调动学生的积极思维,增大思维的发散度,扩大思维空间。
The cultivation of mathematical ability is multifaceted, and the cultivation of the ability of reverse thinking is an important way and means to cultivate the innovative ability in mathematical thinking. First of all, we must recognize that reverse thinking is a supplement to positive thinking, guiding students to reverse thinking and applying teaching definitions, theorems and concepts in teaching. Secondly, we must recognize that reverse thinking is divergent. When training students for thinking ability, Students should pay attention to the development of divergent thinking skills, mobilize the students’ positive thinking, increase the divergence of thinking, expand the thinking space.