数学学习的过程,是知识的积累和更新的过程,从小学到初中,知识本身对学生的要求有了大幅度的提高,但学生的个体差异也越来越明显,无论是智力发展还是学习能力都是千差万别的,因而学生在解题的过程中,难免会出现各种各样的失误,恩格斯曾经说:“要明确地懂得理论,最好的道路就是从本身的失误中,从痛苦的 The process of mathematics learning is the process of accumulation and renewal of knowledge. From primary school to junior high school, the knowledge itself has greatly increased the requirements of students, but the individual differences of students are also more and more obvious. Whether it is intellectual development or learning ability Are different, so students in the process of solving problems, will inevitably be a variety of mistakes, Engels once said: ”To understand the theory clearly, the best way is from their own mistakes, from the painful