To learn mathematics well, the most important thing is to clarify the relationship between formulas, theorems, definitions, etc. in mathematics. All formulas, theorems, and definitions in mathematics cannot be memorized. It is useless. First you have to understand them and clearly deduce the relationship between each formula, theorem and definition. There is a certain correlation between them. Only when you clarify the relationship between them, over time, you will naturally Memorize all the formulas, theorems, and definitions. Memorizing formulas, theorems, and definitions is not a good way to learn mathematics. If you don’t understand them thoroughly, even if you memorize them, you still won’t be able to use them or do them. So as long as you do this, you will no longer have obstacles when solving math problems, and your math will definitely improve by leaps and bounds. Mathematics is the science that studies spatial forms and quantitative relationships. Mathematics at the high school level is the necessary foundation for learning physics, chemistry, computers and continuing to study in colleges and universities. In terms of short-term goals, in the college entrance examination, the score will be higher. From an application perspective, it is the basis for learning and researching modern science and technology, as well as the basis for social production and daily life. From a development perspective, learning mathematics well plays a positive role in cultivating innovation and application awareness, understanding the scientific and cultural value of mathematics, and forming rational thinking. However, during mathematics learning, it is found that many students are timid, fearful, and tired of learning mathematics. Due to the existence of such psychology as fear, fear, and boredom, a vicious circle of not loving learning, not wanting to learn, and even being rebellious towards mathematics is formed. If this continues, it will directly affect future learning. When you enter high school, you can regard the study of mathematics as a new starting point. As long as you want to learn mathematics well, it is not difficult. You might as well try to work hard from the following aspects. Getting rid of the misunderstanding: Some students think that their mathematics foundation is not well established, and they are afraid of affecting their studies in high school; some students think that mathematics is highly abstract, and learning is boring and boring; some students think that mathematics is difficult and they do not have the brains to learn mathematics; Some students think that learning mathematics is just for exams. If you don't major in mathematics in the future, mathematics will be almost useless. Some students study with a coping attitude, thinking that as long as they enter college, they can pass mathematics, etc. These understandings Misunderstandings will directly affect students' learning of mathematics. Psychological theory tells us that knowledge leads to action, and action determines results. Deviations in understanding will lead to misalignment in action, and misalignment in action will inevitably not produce ideal learning results. Here, we focus on helping students clarify the issue of how poor math foundation will affect high school studies. We admit that if you learn mathematics well in junior high school, you can certainly lay a good foundation for the study of mathematics in high school and make the study of mathematics in high school smoother. But if your math scores in the high school entrance exam are not satisfactory, don’t be discouraged, let alone have the idea of ??coping or giving up. The mathematics subject is very systematic and the knowledge is connected. This is very important to the students, so they think that if the foundation is not laid well, it will affect their studies in high school. In fact, mathematical knowledge is relatively independent, which may not be fully understood by students. For example, we have learned about sets and functions in junior high school, and we still need to learn them in the first year of high school. Of course, it is an extension of the learning in junior high school. If we did not learn it well in junior high school, we can take this opportunity to make up for the gaps in the knowledge in junior high school. At the high school stage, with the development of the body and mind and the improvement of cognitive level, looking at the knowledge in junior high school will feel very simple, and sometimes there will be a feeling of enlightenment. Even if you have not learned this topic well, you can use it while learning new knowledge. Old knowledge is reviewed and consolidated. For another example, the chapters such as sets, functions, triangles, and sequence studied in high school are relatively independent of each other. Don’t lose confidence in other chapters just because you haven’t learned a chapter well. Instead, you should study a new chapter while learning it. Make up for deficiencies in other knowledge.

The famous mathematics educator George Polya analyzed and summarized the most characteristic typical intellectual activities in the problem-solving process, and extracted the general rules and methods for analyzing and solving mathematical problems, that is, clarifying the problem, formulating There are four stages: problem-solving plan, implementation of problem-solving plan, and review. During the teaching, the teacher emphasized that we must have a good grasp of question review, calculation and mathematical expression, etc. We are required to remember concepts, formulas, theorems and other knowledge accurately and firmly, and be able to use this knowledge to perform calculations, proofs and logical reasoning. Etc., these are summaries and summaries of mathematical skills and problem-solving rules, which we need to understand carefully during study. As long as you grasp the rules of learning mathematics, master the methods of learning mathematics, and exercise your mathematical thinking, you will be able to solve any problem you encounter. Overcoming Difficulties Mathematics is a systematic, logical, and abstract subject. There are a vast number of mathematics questions, especially high school mathematics questions, which are of a certain degree of difficulty. This requires students to be mentally prepared to overcome and overcome difficulties. , to cultivate the courage and confidence to overcome difficulties. In the process of learning mathematics, you must consciously cultivate your strong will quality. "Tenacity" is the key to resolving all difficulties, and it can enable people to achieve anything. There is nothing else in the world that can match or replace tenacity. Einstein once said: "Bitterness and sweetness come from the outside world, while strength comes from the heart, from one's own efforts." The late Mrs. Clerk once said that the secret of an American's success is that he is not afraid of failure. of. When he wants to do something in his heart, he puts all his efforts into it and never thinks of any possibility of failure. Even if he fails, he will stand up immediately and strive forward with greater determination until he succeeds. Difficulties are not our enemies, but our benefactors. When difficulties come, they can train our abilities to overcome difficulties. In fact, when nature often gives people a difficulty, it also adds a bit of intelligence. Only failures and difficulties can make a person strong and invincible. As a famous scientist once said, when he encounters a seemingly insurmountable problem, he knows that he is about to make a new discovery. One thing we should believe is that high school mathematics problems can be solved, and they will not stump us like Goldbach's conjecture. Multiple solutions to a problem will allow us to comprehensively apply the knowledge we have learned, try various problem-solving ideas, and design the best solution, allowing us to fully unleash our creativity, experience the exploration process of scientists, and feel successful brings joy. "Learning to Survive" points out: "The illiterates of the future are no longer illiterate people, but people who have not learned how to learn." Lifelong learning and improving the ability to learn have become popular slogans in today's world. A famous mathematician said something when talking about his experience in learning mathematics: "There are many specific mathematical knowledge that can be forgotten after learning, but the mathematical ideas represented by that knowledge should never be forgotten, and will It will benefit you throughout your life." So we should re-understand why we study mathematics? How to learn mathematics? We must absorb the mathematical ideas contained in mathematical knowledge and experience the inspiration these mathematical ideas give us. By learning mathematics, we cultivate our scientific attitude and scientific habits, and exercise the clarity of our purpose, the orderliness of our thinking, and the accuracy of our behavior. Confucius's disciples were tired of studying, so they told Zhongni: "I hope to have some rest." Zhongni said: "Life is endless." I would like to encourage high school students that mathematics is indispensable to the development of human society and is irreplaceable in the formation of human quality and self-cultivation. As high school students, there is no end to the study of mathematics.