In junior and senior high schools, the difficulty of mathematics is gradually increasing, and the progress of attending classes is getting faster and faster, which leads to the phenomenon that many students who were originally good at mathematics are slowly falling behind. Moreover, mathematics is most afraid of falling behind. First, once left behind, it will inevitably affect the learning of new knowledge; The second reason is that it is difficult to make up for the backwardness of mathematics, and even if it can be made up, it will take a lot of time; The third reason is that mathematics is backward, which will also affect the study of other subjects in order to make up mathematics.

In fact, many students' math scores are not because their math scores were once too low, but because when the teacher gave a lecture, the students clearly thought they understood, but they didn't start to do their own problems. I believe many students and parents will have such questions. When the math teacher was lecturing, he thought he understood. Why can't he do it once? There are three main reasons for this problem.

First, because the class time is limited, some classes are 45 minutes and some classes are 40 minutes, but some classes have more knowledge points or are more difficult, so teachers can only focus on the explanation of knowledge points and have no time to do exercises to let students know how to use these new knowledge points.

The second reason is that although the teacher has thoroughly explained the knowledge points in the classroom, the students have mastered it, and the teacher has practiced the after-school exercises in the textbook, the difficulty of the topics in the extracurricular tutoring book is very different from that in the textbook, and the students have not cultivated good knowledge transfer ability, which leads to problems in extracurricular tutoring.

The third reason is that there is a certain gap between students' understanding and mastery of the examination syllabus. The understanding in students' minds is often just "imitation", while the mastery in the examination syllabus is to understand and be familiar with why.

In view of the problems existing in these reasons, we should solve them from the following points.

First, after understanding the knowledge points explained by the teacher in class, we must do some exercises to know when and how to use these knowledge points.

Second, in the process of doing problems, we should check and fill in the gaps, develop the good habit of thinking actively and being good at thinking, and gradually and orderly train our thinking ability and independent problem-solving ability.

Third, when doing problems, you can try to train your knowledge transfer ability through "one problem with multiple solutions", or you can try "one problem with multiple solutions" to improve your ability to organize and summarize knowledge. Through the training of "multiple solutions to one question" and "multiple solutions to one question", you can also help yourself to truly understand and master the key knowledge you have learned.