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从目前数学教学情况看,学生不善于从各个方面思考问题,更不善于从相反的方向进行思考,逆向思维在学生学习中是一个薄弱环节,这对提高学生能力是一个很大的障碍。如:5的绝对值是5,一般学生都清楚,但对绝对值是5的数是几,不少学生忘掉-5。当a>0,b>0时得ab>0,学生很少发生问题,但当ab>0时,学生往往只答出a>0,b>0,不少学生漏掉a<0,b<0。学生逆向思维能力薄弱,一是由于教师在教学中忽视逆向思维能力的培养和训练,
Judging from the current situation of mathematics teaching, students are not good at thinking about problems from all aspects, and they are less adept at thinking from the opposite direction. Reverse thinking is a weak link in student learning, which is a great obstacle to improving student ability. Such as: 5 of the absolute value is 5, the average student is clear, but the number is 5 for the absolute value is a few, many students forget -5. When a>0 and b>0, we have ab>0, students rarely have problems, but when ab>0, students often only answer a>0, b>0, and many students missed a<0,b <0. Students’ weak ability to think backward, first because teachers ignore the cultivation and training of backward thinking ability in teaching,