First of all, it can't be ignored that students sit in the classroom and listen carefully.
Many students often think that the concepts spoken by teachers are derived from textbooks, and sometimes examples are also selected from textbooks. Once you have listened to the class for a period of time and think that you have basically mastered it, you will stop listening attentively. In fact, if a teacher prepares a lesson attentively, it is bound to emphasize and supplement the important knowledge points in the textbook, which may be the most difficult place for students to master. Similarly, many students think that books and textbooks are too simple to be ignored, that exercise books are easy to complete, that they are sloppy, and that they blindly look for various guidance books to attack or immerse themselves in the sea of questions. These are the disadvantages that are easy to appear in high school mathematics learning. Ignoring the most basic courses and basic training is like a building without a solid foundation. If you want to build higher, you won't be able to do so. At this time, the so-called self-improvement is just a castle in the air. Many difficult exercises are usually adapted or synthesized from the questions learned and practiced in the initial stage of learning new knowledge. Without a solid foundation, confusion about individual knowledge points will become a stumbling block to overcome problems. How can I improve myself? On the contrary, if you master the basic questions skillfully and learn to draw inferences in the process of practice, then learning will become easy and simple.
Secondly, we should learn to learn from each other.
Among them, self-study includes four links: pre-class preparation, class notes, after-class review and pre-test review. Reading before class is generally to find out what you don't understand and mark it well, so that teachers can concentrate on listening when teaching new lessons, which will make them more impressed and improve their listening effect. In class, you should not only listen, but also think for the first time and learn to take notes skillfully. Write down the questions that have puzzled you for a while and the classic exercises explained by the teacher, and watch them again after class. If you still have questions, you should find a teacher to solve them immediately, and don't delay. After-class review is a process of trying to recall the contents of the class, the teacher's ideas and the key points of the class, completing the homework after making sure that you have basically mastered what you have learned, and finding your own weak points in the process of completion, and then choosing an appropriate number of exercises to practice, that is to say, you should immediately turn to the books to inquire or answer the missing knowledge in order to firmly grasp it. When reviewing before the exam, textbooks, notebooks and wrong questions are the main ones, which is not suitable for doing a lot of exercises. Proper exercise can keep the brain excited and help the exam flexible. It is important to comb the knowledge points again, deepen the understanding of basic concepts, understand the mistakes you often make and correct them, so as to avoid making unnecessary low-level mistakes in the exam. Practicing every link carefully and grasping it firmly will naturally make you more confident in the exam.
Proper communication and discussion with classmates and a good learning atmosphere can not only improve the enthusiasm of learning, but also promote and improve each other. In the discussion, sometimes you may find some problems that you usually ignore but do exist. Sometimes, different classmates will think of different solutions to the same problem, so that you not only answer a question, but also solve a problem. However, it should be noted that advocating exchange learning is not a vicious circle that requires students, nor is it a bad habit of checking the answer after completing a question. Homework must be done independently, and gradually cultivate confidence in the correct answer rate, so that students can naturally have answers in the exam.
Finally, I remind everyone that in the whole process of mathematics learning, we should consciously build the structural network of knowledge and pay attention to summary. Especially after entering the third year of high school, we should pay more attention to the integration of various knowledge points, such as functional relations, inequalities, equations, etc., and attach importance to the application of thinking methods, such as the combination of numbers and shapes, equivalent transformation, etc. At the same time, the training of computing ability can not be ignored. Usually, we should stick to the end and pursue perfection, not know a rough idea. Don't let go of the wrong questions easily. It is best to collect wrong questions and classic questions, and occasionally record your own experiences, look through them regularly and summarize methods, because mastering knowledge will help improve your comprehensive ability.
In a word, if you have a certain interest, a dedicated heart and a down-to-earth attitude, you will certainly get unexpected gains in the study of high school mathematics.