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培养和训练学生的逆向思维是中小学数学教学的一项重要任务。中小学教材中存在着大量的互逆关系,如:互逆定理、互逆公式、互逆运算、互逆变换、互逆对应等等。教材要求学生能熟练运用知识进行正向思维,而且要求学生能准确运用知识进行逆向思维,培养和训练学生思维的灵活性,培养和训练学生从正向思维到逆向思维的转换能力。
Training and training students in reverse thinking is an important task in primary and secondary mathematics teaching. There are a lot of reciprocal relationship between primary and secondary teaching materials, such as: reciprocity theorem, reciprocal formula, reciprocal computing, mutual transformation, reciprocal correspondence and so on. Textbooks require that students be proficient in applying positive knowledge and that students be able to use knowledge to reverse thinking, train and train students 'flexibility in thinking, and train and train students' ability to switch from positive thinking to negative thinking.