1, form a good habit of learning mathematics. Establishing a good habit of learning mathematics will make you feel orderly and relaxed in your study. The good habits of high school mathematics should be: asking more questions, thinking hard, doing easily, summarizing again and paying attention to application. In the process of learning mathematics, students should translate the knowledge taught by teachers into their own unique language and keep it in their minds forever. Good habits of learning mathematics include self-study before class, paying attention to class, reviewing in time, working independently, solving problems, systematically summarizing and studying after class. Understanding and mastering the commonly used mathematical thinking methods in time to learn high school mathematics requires us to master it from the height of mathematical thinking methods. Mathematics thoughts that should be mastered in middle school mathematics learning include: set and correspondence thoughts, classified discussion thoughts, combination of numbers and shapes, movement thoughts, transformation thoughts and transformation thoughts. Oh, by the way, the ABC Qin Tian English teacher who helped me the other day told us that if you want to learn English well, you need a good learning environment and practice your spoken English easily. The level of foreign teachers is very important. It is very important to insist on regular oral communication and one-on-one intensive teaching to make good progress. Need to review after class, listen to the recording feedback after class, and consolidate the knowledge points; However, if there are really no English speakers, then go to Coco or BBC to get after-school materials, learn more, practice more, ask more questions, listen more and read quickly. Many oral abilities will be improved, and the overall effect should be the best .. After having mathematical ideas, we should also master specific methods, such as method of substitution, undetermined coefficient method, mathematical induction, analysis, synthesis, induction and so on. In terms of specific methods, commonly used are: observation and experiment, association and analogy, comparison and classification, analysis and synthesis, induction and deduction, general and special, finite and infinite, abstraction and generalization. When solving mathematical problems, we should also pay attention to solving the problem of thinking strategy, and often think about what angle to choose and what principles to follow. The commonly used mathematical thinking strategies in senior high school mathematics include: controlling complexity with simplicity, combining numbers with shapes, advancing forward and backward with each other, turning life into familiarity, turning difficulties into difficulties, turning retreat into progress, turning static into dynamic, and separating and combining. Gradually form a "self-centered" learning model. Mathematics is not taught by teachers, but obtained through positive thinking activities under the guidance of teachers. To learn mathematics, we must actively participate in the learning process, develop a scientific attitude of seeking truth from facts, and have the innovative spirit of independent thinking and exploration; Correctly treat difficulties and setbacks in learning, persevere in failure, be neither arrogant nor impetuous in victory, and develop good psychological qualities of initiative, perseverance and resistance to setbacks; In the process of learning, we should follow the cognitive law, be good at using our brains, actively find problems, pay attention to the internal relationship between old and new knowledge, not be satisfied with the ready-made ideas and conclusions, and often think about the problem from many aspects and angles and explore the essence of the problem. When learning mathematics, we must pay attention to "living". You can't just read books without doing problems, and you can't just bury your head in doing problems without summing up the accumulation. We should be able to learn from textbooks and find the best learning method according to our own characteristics. Take some concrete measures according to your own learning situation. A. Take math notes, especially the different aspects of concept understanding and mathematical laws. B. Expand teachers' extracurricular knowledge in class. Write down the thoughts, methods or examples you think are the most valuable in this chapter, and the problems you haven't solved yet, so that you can make up later. C. establish a mathematical error correction book. Write down error-prone knowledge or reasoning in case it happens again. Strive to find wrong mistakes, analyze them, correct them and prevent them. Understanding: being able to deeply understand the right things from the opposite side; Guo Shuo can get to the root of the error, so as to prescribe the right medicine; Answer questions completely and reason strictly. D. Recite some mathematical laws and small conclusions, so that your usual operation skills can reach the proficiency of automation or semi-automation. E. Regularly organize the knowledge structure, form a plate structure, and implement "full container", such as tables, to make the knowledge structure clear at a glance; Often classify exercises, from a case to a class, from a class to multiple classes, from multiple classes to unity; Several kinds of problems boil down to the same knowledge method. F. Read mathematics extracurricular books and periodicals, participate in mathematics extracurricular activities and lectures, do more math extracurricular problems, strengthen self-study and expand knowledge. G. Review in time, strengthen the understanding and memory of the basic concept knowledge system, carry out appropriate repeated consolidation, and eliminate learning before forgetting. H. learn to summarize and classify from multiple angles and levels. Such as: ① classification from mathematical thoughts, ② classification from problem-solving methods, ③ classification from knowledge application, etc. , so that the knowledge learned is systematic, organized, thematic and networked.