The first one is not solid enough because of its poor foundation.
In the process of learning, I am not proficient in memorizing mathematical definitions and formulas, and I have not mastered the basic steps and methods of solving problems. This kind of students think that they have almost done all these things when reading books, but when they meet the exam, they find that they still have a lot of knowledge to master, and they often have trouble doing ambiguous questions.
Second, because the learning method is not good, I have not mastered the method of learning mathematics.
While studying, I temporarily remembered the concepts, formulas and basic problem-solving methods of relevant knowledge, but they were not applied in time and the problem-solving methods were not consolidated in time. After a long time, you will find that all the contents memorized in a short time have been forgotten, or you will not do it if the basic questions change slightly.
The third type: because of the lack of logical thinking ability and habits of mathematics.
Everyone has different thinking ability and different thinking habits. Some students are more inclined to image and perceptual thinking, and the numerical and logical thinking of mathematics is relatively weak. This kind of students will not have much problem with the basic knowledge and understanding of mathematics, but they may find it difficult to deal with some relatively difficult problems.
To sum up, the first two situations can actually be improved through effective education. The current teaching requirements in primary and secondary schools are not only set for gifted students, so as long as effective methods are adopted, most students can meet the standards. The third situation varies from person to person and it is difficult to improve in a short time. At present, the questions used to examine students' outstanding ability in the exam are generally controlled within 20%. If students' basic knowledge and understanding reach the standard, it is not difficult to get satisfactory scores. After targeted training, this ability will gradually improve.
In view of the above problems, the concrete solutions are given.
For students with poor and weak mathematical foundation of the first kind, it is forbidden to make up lessons or do problems blindly. It is suggested that students and parents can choose their own learning rules. Nowadays, many students are smart, accept new knowledge quickly and feel good about themselves. But if they don't practice, there will probably be loopholes in the exam in the future. For learning, sometimes you can't fully master it simply by reading books, and you must really master it through practical work. Giving 20 typical questions a week is not a big burden, but it will be of great benefit to help students lay a good foundation.
For students who are not good at the second learning method, you can do some exercises. Because most questions will be analyzed by teachers, you can ask teachers or classmates for slightly more difficult questions. If this problem will not or will produce some knowledge problems when doing it, it will be very helpful to understand and deepen the knowledge immediately.
For the third kind of children, parents should pay attention to cultivating their logical thinking ability in daily life and guide them to develop good study habits.