Some contact 1 to understand the characteristics of high school mathematics. High school mathematics is the improvement and deepening of junior high school mathematics. Junior high school mathematics uses vivid and popular language in the expression of teaching materials, and the research objects are mostly constants, focusing on quantitative calculation and image thinking. The high school mathematics language is abstract, logical, rigorous, coherent and systematic. 2. Correctly treat the new difficulties and problems encountered in learning. Students will certainly encounter many difficulties and problems in the process of starting to learn high school mathematics. Students should have the courage and confidence to overcome difficulties, be arrogant in winning and be indomitable in losing. With a spirit of "newborn calves are not afraid of tigers", they will become more and more brave. Never let problems pile up and form a vicious circle. Instead, we should seek solutions to problems under the guidance of teachers and cultivate the ability to analyze and solve problems. 3. Improve self-adjustment ability. Generally speaking, after a period of teaching practice, teachers show a certain tendency in the adoption of teaching methods, methods and strategies due to their different understanding of the teaching process, knowledge structure, thinking characteristics, personality tendency and professional experience, and form their own unique and consistent teaching style or characteristics. As a student, it is obviously unrealistic for teachers to adapt themselves. We should optimize our learning strategies, standardize our learning behaviors and gradually adapt our learning methods to teachers' teaching methods according to teachers' characteristics and our own reality, so that we can learn well and quickly. 4. Change "teacher-centered" to "self-centered, teacher-led" learning mode. Mathematics is not taught by teachers, but acquired through positive thinking activities under the guidance of teachers. Learning mathematics is to actively participate in the teaching process, often find problems and ask questions, instead of passively accepting the knowledge and methods learned with the inertia of teachers. 5. To cultivate a good personality, it is necessary to establish correct learning objectives, cultivate strong learning interest and tenacious learning perseverance, have sufficient learning confidence, a scientific attitude of seeking truth from facts, and an innovative spirit of independent thinking and daring to explore. 6. Develop good preview habits, improve self-study ability, preview and doubt before class, listen with doubt and feel doubt, and improve the effect of classroom listening through the guidance and explanation of teachers. Preview is also called self-study before class. The more thorough the preview, the better the effect of attending classes. The better the effect, the more you can preview the next lesson, thus forming a virtuous circle. 7. It is the key to solve the problem to develop a good habit of examining questions and improve reading ability. Mathematical problems are composed of written language, symbolic language and graphic language. When you get the question, you should "stop for three points" and "don't grab it for one second". On the basis of your existing knowledge and experience in solving problems, you should carefully examine the questions sentence by sentence and carefully scrutinize them to avoid unclear questions and rushing into battle. When reviewing questions, we should "translate" the meaning of the questions sentence by sentence. Sometimes it is necessary to contact the topic and conclusion, dig and build a bridge between the topic and the goal, and find a breakthrough point, thus forming a problem-solving idea. 8. To develop good calculation and inspection habits and improve calculation ability, learning mathematics is inseparable from calculation. Junior high school teachers often calculate step by step on the blackboard. Due to the limited time and large amount of calculation, senior high school teachers often leave the calculation to students, which requires students to use their brains and work harder, not only to write, but also to be articulate and unfocused. For complex calculations, they should be patient, master calculations and pay attention to simple methods. 9. Develop good problem-solving habits and improve thinking ability. Mathematics is the gymnastics of thinking, and it is a discipline with strong logic and rigorous thinking. Cultivating and standardizing problem-solving habits is an effective way to improve the expression ability of words, symbols and graphics, and mathematical language is the basis for developing thinking ability. Therefore, we should gradually lay a solid foundation and improve our thinking ability. 10, to develop the habit of reflection after solving problems, to improve the ability to analyze problems, to develop the habit of reviewing the following questions without losing time after solving problems: how to analyze associations in the process of solving problems, what is the key to solving problems, what difficulties we encountered in the process of solving problems, and how to overcome them. Through the review and reflection after solving the problem, find out the key to solving the problem, and extract the mathematical ideas and methods from it. If we ignore the excavation of it, therefore, after solving a problem, we always sum up the law of the problem and the solution. Only by diligent reflection can we "stand on the mountain, see far and control the overall situation" and improve our ability to analyze problems. 1 1. We should cultivate the habit of correcting mistakes and improve our self-judgment ability. It is necessary to cultivate the psychological quality of initiative, perseverance, resistance to setbacks and no inferiority. We should ponder over right and wrong questions repeatedly, find out the causes of mistakes, correct them, and develop good habits, and many problems will come to the bottom, thus improving our self-judgment ability. 12, develop the habit of good communication and improve the ability of expression. In the process of mathematics learning, students should be good at cooperation, express their views, discuss with each other, learn from each other's strengths, or actively communicate with teachers and express their views and opinions. In the teacher's teaching, his way of thinking will exert a subtle influence on you. Therefore, only through constant communication can we promote each other, develop together and improve our expressive ability. If you stand still, you will fall into a dead end and waste unnecessary time. 13. We should develop the habit of studying hard and thinking well, and improve our innovative ability. In the process of learning mathematics, we should follow the cognitive law, be good at using our brains, actively find problems, think independently, pay attention to the internal relationship between old and new knowledge, grasp the connotation and extension of concepts, do more than one problem, change more than one problem, not be satisfied with ready-made ideas and conclusions, be good at thinking about problems from many aspects and directions, dig the essence of problems, and be brave in expressing our unique opinions. Because only thinking can lead to doubt and doubt, as well as thorough understanding. If a person is in an untitled state for a long time, it means that he is not thinking enough and his studies cannot be improved. 14, to develop the habit of summing up and improve the ability of summing up, we should sum up each chapter according to the logical relationship of knowledge, so that the knowledge we have learned is systematic, organized and thematic. This is also a process of re-understanding, which will play a good role in further deepening the accumulation of knowledge, flexibly applying knowledge and improving the ability of summing up. 15, form the habit of taking notes and improve understanding. In order to deepen the understanding and mastery of the content, the teacher added a lot of content and methods. If you don't take notes, once you forget, you can't review and consolidate. Moreover, in the process of taking notes and sorting out, you participate in teaching activities yourself, which strengthens your learning initiative and interest, thus improving your understanding. 16. To get into the habit of writing mathematics learning experience and improve the ability of inquiry, writing mathematics learning experience is to record the thinking, understanding, experience and lessons of participating in mathematics activities and comprehend the thinking results of mathematics. Expressing what you see, think and realize can promote the formation of your own mathematical experience and consciousness, and systematically classify, generalize, popularize and extend mathematical concepts, knowledge structures and methods, so as to improve your understanding of mathematics from low level to high level and improve your inquiry ability. In short, students should develop good study habits, diligent study attitude and scientific study methods, and give full play to their main role, not only to learn, but also to learn. This will get twice the result with half the effort.