For a long time, many people don't care much about learning the basic knowledge of mathematics, thinking that the basic knowledge is not used to solve problems, especially the concepts, definitions and theorems of mathematics will not be directly tested in the exam, and it is useless to learn them. In fact, this idea is a very fatal mistake. There are many people who have strong learning ability and are very smart. They just ignore the study of basic knowledge and fail to grasp the key points of study. Finally, they regretted not learning math well. In fact, in the senior high school entrance examination, about 80% of the questions are directly or indirectly related to the basic knowledge, and only 20% are what we call puzzles, but even these puzzles are composed of many basic questions, so if you want to learn mathematics well, you must first learn the basic knowledge of mathematics.
So how to learn the basic knowledge? My method is to preview before class, listen in class and review after class. As long as these three aspects are persistently combined, I believe that our students' math scores will be improved in the end.
Second, cultivate and exercise the methods and skills of solving mathematical problems: do more targeted and appropriate synchronous exercises, step by step, and cycle by cycle.
Many people work very hard in the process of learning mathematics, and they know that they have to do a lot of exercises. Some even consciously stipulate the number of exercises to be done every day, but in the end, the improvement of mathematics scores is not obvious. Why is this? I think, to a great extent, the exercises that many of us do are not targeted. In my opinion, we should not only do it, but also do it well. What I want to say here is that the exercises we have learned and thought about are carefully selected by teachers and tested by countless students, which can be said to be very targeted. Of course, many exercises in the bookstore are also very good. I hope you can choose carefully. At the same time, we should not only do targeted exercises, but more importantly, we should constantly sum up and reflect on the exercises we have done, and sum up why we did something wrong, where we did it wrong, what the correct thinking is, and so on. As long as we think about it repeatedly, I believe that our students' academic performance will be greatly improved.
In short, the above two points are very important ideas and methods for learning mathematics and learning it well. Some people think the method is so simple that it is impossible. In fact, any complicated learning process, as long as you master the correct learning methods, will become very simple, because simplicity is beauty, so I sincerely hope that you can study happily and achieve ideal results in the process of learning mathematics!