To learn mathematics well, the most important thing is to clarify the relationship among formulas, theorems and definitions in mathematics. It is useless to recite all formulas, theorems and definitions in mathematics. First of all, you should understand them and deduce the relationship between each formula, theorem and definition clearly. They are all interrelated. Only when you clarify the relationship between them, you will naturally remember all the formulas and definitions over time. However, we can't learn mathematics well with the definitions of bare back theorem and backrest formula. If you don't, if you don't fully understand them, even if you remember them, you won't use them or do problems. So only by doing this, you won't have any obstacles in solving math problems, and your math will surely advance by leaps and bounds. Mathematics is a science that studies the relationship between spatial form and quantity. Senior high school mathematics is the necessary foundation for studying physics, chemistry, computer and continuing to study in colleges and universities. In terms of short-term goals, in the college entrance examination, the score is higher. From the application point of view, it is the basis of studying and studying modern science and technology, and also the basis of social production and daily life. From the perspective of development, learning mathematics well plays a positive role in cultivating innovative and applied consciousness, understanding the scientific and cultural value of mathematics and forming rational thinking. However, in mathematics learning, it is found that many students are afraid, afraid and tired of mathematics learning. Because of the psychological existence of fear, fear and boredom, a vicious circle of not loving learning, not wanting to learn and even resisting mathematics has been formed. If this continues, it will directly affect future study. When you enter high school, you can take the study of mathematics as a new starting point. As long as it is not difficult to learn math well, we might as well try to work hard in the following aspects. Get out of the misunderstanding Some students think that they are not good at math foundation and are afraid of affecting their high school study; Some students think that mathematics is abstract and boring to learn; Some students find mathematics difficult and have no mind to learn it; Some students think that studying math is just for exams. If you don't major in mathematics in the future, then mathematics is almost useless. There are also some students who study with a coping attitude, thinking that as long as they enter college, they can pass math, and so on. These misunderstandings will directly affect students' learning of mathematics. Psychological theory tells us that cognition produces action and action determines the result. The deviation of cognition will lead to the dislocation of action, and the dislocation of action will inevitably not produce the ideal learning effect. The key point here is to help students understand that poor math foundation will affect their high school study. We admit that learning mathematics well in junior high school can certainly lay a good foundation for the study of mathematics in senior high school and make the study of mathematics in senior high school smoother. However, if you don't do well in the math test in the senior high school entrance examination, don't be discouraged, let alone have the idea of coping and giving up. Mathematics is a systematic subject, knowledge is relevant, and students take a fancy to it, so they think that poor foundation will affect high school study. In fact, mathematics knowledge is relatively independent, and students may not understand it deeply. For example, we learned the problem of set and function in junior high school, and we have to learn it in senior one. Of course, it is an extension of junior high school learning. If you don't learn well in junior high school, you can take this opportunity to fill in the loopholes in junior high school knowledge. In high school, with the development of body and mind and the improvement of cognitive level, it will be very simple to look at junior high school knowledge in turn, and sometimes there will be an epiphany. Even if you don't learn this topic well, you can review and consolidate old knowledge while learning new knowledge. For another example, the knowledge of sets, functions, triangles, series and other chapters in high school is relatively independent. Don't lose confidence in other chapters just because you haven't learned one chapter well, but make up for the defects of other knowledge while learning a new chapter. To make it clear, it is suggested that students take the study of mathematics in senior high school as a new subject, lay a solid foundation for new knowledge that they have not been exposed to in junior high school, and understand the problems they don't understand in time; In the extended study of what you have learned in junior high school, you should think more about what faults you have in the connection between junior high school and senior high school. Ask more questions. What is this? Why? Strive to make the study of mathematics in senior one play a connecting role and lay a solid foundation for the study of senior one. Psychological resistance to mathematics is the natural enemy of learning mathematics, so we should get out of the misunderstanding, improve our understanding of learning mathematics, correctly understand the importance of mathematics learning, and face mathematics learning with a positive attitude. Cultivate Interest Einstein said, "Interest is the best teacher." Indeed, it is easy for us to learn the subjects we are interested in, and we feel very comfortable and satisfied with our grades. Similarly, I will have unlimited enthusiasm and great enthusiasm for what I am interested in, and I will do my best to overcome all difficulties. Japanese educator Kimura has a famous saying: "Genius is a strong interest and tenacious ecstasy", which shows how important it is to cultivate interest. We can recall the subjects we are interested in. What subjects are you not interested in? What is the reason for the analysis? Do you feel that you are willing to learn the subject you are interested in, and even if you work hard, your grades will be better, so you will love learning this subject more. It just confirms what Confucius said: "Knowing is not as good as being kind, and being kind is not as good as being happy." The orientation of interest is not innate, but generated and developed on the basis of needs, and interest needs to be cultivated. Well-known famous scientists at home and abroad, they can achieve outstanding achievements, not because of their extraordinary ability and wisdom, but because they are interested in a certain research, and they experience endless fun in research, and then become interested in research. From the evolution of interest-fun-interest, it is not difficult to see that they started from hobbies and experienced happiness, forming the unity of ambition and interest. However, interest led them to the road of scientific success. Interest in mathematics also depends on our conscious cultivation. When learning mathematics, we should overcome the utilitarian thought of learning mathematics only for the college entrance examination, understand the importance and necessity of learning from the efficacy and function of mathematics and the needs of people's development and life, and start with the chapters that interest us. For example, if you like geometry, you can do more topics in this area, and experience the thinking method of mathematics, the beauty contained in mathematics and the happiness of mathematics learning in the process of solving problems, thus driving the study of other chapters and cultivating the interest in learning mathematics. Master method r? 6? 1 Courant in what is mathematics? There is a passage in the preface of this famous book: "If students and teachers don't try to master the essence of mathematics outside the form of mathematics and simple calculus, then frustration and confusion will be more serious. "It can be seen that learning mathematics can't blindly wander in the ocean of topics, let alone concentrate on topics, especially in high school mathematics learning, so we should pay attention to mastering mathematical thinking methods. What is mathematical thinking method? Principal Wang, a special-grade teacher and experimental middle school, pointed out in the book "Teaching Students to Learn Mathematics" that mathematical thinking methods can be divided into general methods of mathematics, methods in logic and mathematical thinking methods, among which the general methods of mathematics include some specific methods and skills to solve mathematical problems, such as collocation method, method of substitution method, undetermined coefficient method and discriminant method. The mathematical methods in logic are mathematical thinking methods, including analysis, synthesis, induction, overall method and experimental method. Mathematical thinking methods include the idea of function and equation, the idea of classified discussion, the idea of reduction, the idea of combining numbers with shapes and so on. In teaching, teachers aim at cultivating students' mathematical thinking methods, so students should pay special attention to the learning and understanding of thinking methods in their studies. Clear skills are special means to solve problems, methods are the same means to solve a class of problems, and the deepest guide to solve problems is thought. Method is the accumulation of skills, and thought is the sublimation of method. The exercise of problem-solving skills depends on our careful thinking, in-depth thinking and summary in the process of solving problems, and constantly explore the law of solving problems. George, a famous mathematics educator? 6? 1 polya extracts the general rules and methods of analyzing and solving mathematical problems by analyzing and summarizing the most typical intellectual activities in the process of solving problems, namely, four stages: clarifying problems, formulating problem-solving plans, realizing problem-solving plans and reviewing. In teaching, the teacher emphasizes the examination of questions, calculation and mathematical expression, and requires us to accurately and firmly remember concepts, formulas, theorems and other knowledge, and use these knowledge for calculation, proof and logical reasoning. These are generalizations and summaries of mathematical skills and problem-solving laws, which need to be carefully understood in our study. As long as you master the laws, methods and thinking of learning mathematics, any problem will be solved. Mathematics to overcome difficulties is a systematic, logical and abstract subject, and there are countless mathematical topics, especially in senior high school, which requires students to be psychologically prepared to overcome difficulties and cultivate their courage and confidence. In the process of learning mathematics, we should consciously cultivate our strong will quality. Perseverance is the key to overcoming all difficulties, which enables people to achieve everything. Nothing in the world can match or replace strong will. Einstein said: "Bitterness and sweetness come from the outside, while strength comes from the heart and from our own efforts." The late Mrs. Krieger once said that the secret of American success is that he is not afraid of failure. When he wants to do something in his heart, he goes all out. It is hard for him to imagine any possibility of failure. Even if he fails, he will immediately stand up and work hard with greater determination until he succeeds. Difficulties are not our enemies, but our benefactors. When difficulties come, we can exercise our ability to overcome them. In fact, nature often gives people hardships, but it also adds a little intelligence. Only failure and difficulties can make a person strong and invincible. As a famous scientist once said, when he met a seemingly insurmountable problem, he knew that he was about to make a new discovery. One thing we should believe is that it can solve high school math problems, not as difficult as Goldbach's conjecture. A variety of solutions to a problem will enable us to comprehensively apply what we have learned, try various solutions, design the best solution, give play to our creativity, experience the exploration process of scientists, and feel the joy brought by success. "Learn to live" points out: "The illiterate people in the future are no longer illiterate people, but people who have not learned how to learn." Lifelong learning and improving learning ability have become popular slogans in the world today. A famous mathematician once talked about his experience in learning mathematics, saying, "There are many specific mathematical knowledge that can be forgotten after learning, but the mathematical ideas expressed by those knowledge should never be forgotten, which will benefit you for life." Then we should re-understand why we study mathematics. How to study mathematics? We should absorb the mathematical ideas contained in mathematical knowledge and realize the enlightenment from these mathematical ideas. By studying mathematics, we can cultivate our scientific attitude and habits, and exercise the clarity of our purpose, the order of our thinking and the accuracy of our behavior. Tired of studying, Confucius' disciples said to Zhong Ni, "I want to have a rest." . Zhong Ni said, "There is no rest in life". Encouraging senior high school students, mathematics is indispensable to the development of human society and irreplaceable to the formation of people's quality and accomplishment. As a high school student, there is no end to learning mathematics.