The second is to pay attention to the depth of learning and not blindly pursue progress. When learning new content, we should carefully analyze it. The more difficult it is to understand, the more we should try to understand it. In order to ensure the quality of study, it's okay to read slowly.
Third, we should attach importance to basic knowledge and basic concepts, step by step. A solid foundation makes it easier to study in depth.
Fourth, pay attention to the coherence of knowledge before and after. The contents of each branch of mathematics are not isolated. Paying attention to finding out their internal relations and combining with each other can deepen understanding and memory and make it a complete system.
Specifically, every link in mathematics learning plays an important role and cannot be ignored.
First, preview. Use your spare time, such as holidays, to read through the book, mark the places you don't understand, and pay special attention to class; You can also do related exercises with moderate difficulty to test the learning effect.
Second, class. Pay attention to the teacher for 45 minutes in class, and at the same time think positively and cooperate with the teacher. When the teacher talks about the concept of theorem definition, he recites it in his mind while listening, and deepens his understanding in the process of teacher's explanation and examples; In this way, class memory not only saves a lot of spare time, but also can concentrate on class.
Third, take notes. It is necessary to bring a notebook in math class, but it is not necessary to delay the class time because of copying the questions and affect the class. So when copying questions, try to be concise and make full use of what you have learned to solve problems. Teachers should not just copy the answers when commenting, but must record the main points on the basis of understanding and sort them out after class. If you don't have time to remember, you can communicate with your classmates to supplement.
Fourth, homework. We should insist on completing homework independently, and regard it as feedback on the understanding of what is said in class and the review information. For the wrong questions, we should analyze the reasons and revise them carefully. We might as well prepare a mistake book to record the error analysis and correct solutions, so that it will become an important learning material like a notebook.
Fifth, review. You can choose one or two reference books according to the actual situation under the guidance of the teacher. When consulting reference books, you should be familiar with the text first, not at a glance. Don't just watch and practice, pay attention to practice, answer with your hands, and don't let go of difficult problems easily. But for some problems with simple methods and complicated calculations, we can bypass and master the methods. You can really learn a lot of typical problem-solving ideas and thinking methods from reference books, but you can't be led by reference books. When reviewing, we should also adhere to the principle of giving priority to textbooks, supplemented by reference books.