2. Read books in class. When previewing, we only have a general understanding of the contents of the textbooks to be learned, and not all of them have been thoroughly understood and digested. Therefore, it is necessary to read the text further in combination with the marks and comments made in the preview and the teacher's teaching, so as to grasp the key points and solve the difficult problems in the preview.
3. Review reading after class. After-class review is an extension of classroom learning, which can not only solve the unresolved problems in preview and classroom, but also systematize knowledge, deepen and consolidate the understanding and memory of classroom learning content. After a class, you must read the textbook first, and then do your homework. After learning a unit, you should read the textbook comprehensively, connect the content of this unit before and after, summarize it comprehensively, write a summary of knowledge, and check for missing parts.
Second, thinking more mainly refers to developing the habit of thinking and learning the methods of thinking. Independent thinking is an essential ability to learn mathematics. When studying, students should think while listening (class), reading (book) and doing (topic). Through their own positive thinking, they can deeply understand mathematical knowledge, summarize mathematical laws and flexibly solve mathematical problems, so as to turn what teachers say and what they write in textbooks into their own knowledge.
Third, do more exercises. When learning mathematics, you must do problems and do them properly. The purpose of doing the problem is first to master and consolidate the knowledge learned; Secondly, initially inspire the flexible use of knowledge and cultivate the ability of independent thinking; The third is to achieve mastery through a comprehensive study and communicate different mathematical knowledge. When you do the problem, you should carefully examine the problem and think carefully. How should we do it? Is there a simple solution? Think and summarize while doing, and deepen the understanding of knowledge through practice.
Fourth, asking more questions refers to being good at finding and asking questions in the learning process, which is one of the important signs to measure whether a student has made progress in learning. Experienced teachers believe that students who can find problems and ask questions have a greater chance of success in learning; On the other hand, students who can ask three questions and can't ask any questions themselves can't learn math well. So, how can we find problems and ask them? First, we should observe deeply and gradually cultivate our keen observation ability; Second, we should be willing to use our brains, not willing to use our brains, not thinking. Of course, you can't find any questions and you can't ask any questions. After discovering the problem, if the problem can't be solved by your own independent thinking, you should consult others humbly, teachers, classmates, parents and all those who are better than yourself on this issue. Don't be vain and don't be afraid of being looked down upon by others. Only those who are good at asking questions and learning with an open mind can become real strong learners.
First, textbooks should be "previewed, done well and repeated". Before each new lesson, preview it first, especially highlight the difficulties or things that you don't understand with colored pens, so that you can concentrate more in class. You can do the exercises after each lesson first, so that you can understand 70% of the new content and do 80% of the exercises. After learning a new lesson, we should compare and review the learned knowledge step by step according to the contents of the textbook, from easy to difficult, from simple to complicated, and summarize the concepts, theorems and formulas to deepen our understanding of the knowledge. The examples in the textbook are best done by yourself. Reasoning the concepts, theorems and formulas in the textbook to form an overall understanding of knowledge.
Second, we should "listen, remember and practice" in class. Listen to the questions in the preview in class, take notes when necessary, and consolidate them through some exercises. Mathematics is different from other subjects. It is impossible to solve practical problems by memorizing concepts, theorems and formulas. Only through practice can we reduce operational mistakes.
Third, homework should be "thinking, asking and gathering". Homework must develop the habit of independent thinking, from different methods and angles, explore various problem-solving methods from typical topics, and get association and inspiration from them. At the same time, it is necessary to establish more mathematical problem-solving ideas, such as equation ideas, function ideas, combination of numbers and shapes, overall ideas, classification ideas and other common methods; For difficult questions, we should ask more reasons, such as changing conditions, adding conditions, and exchanging conditions for conclusions. Is the original conclusion still valid? In addition, for the mistakes in homework and test papers, it is best to prepare a set of wrong questions for future review. Don't make the same mistake twice.