Only by establishing a clear learning purpose can we have a certain motivation and interest in learning. Confucius said more than 2,000 years ago: "Knowing is not as good as being kind, and being kind is not as good as being happy". The "good" and "happy" here are willing to learn, love learning and have interest in learning. Einstein, a world-famous great scientist and founder of the theory of relativity, also said: "In school and life, the most important motivation for work is the fun at work." The fun of learning lies in the initiative and enthusiasm of learning. We often see some students burying themselves in reading and thinking for a long time in order to find a mathematical concept. In order to solve a math problem, forget all about eating and sleeping. First of all, because they are interested in mathematics study and research, it is hard to imagine that they are not interested in mathematics. People who have a headache when they see math problems can learn math well. To cultivate their interest in learning mathematics, we must first understand the importance of learning mathematics. Mathematics, known as the queen of science, is an essential tool for learning and applying scientific knowledge. It can be said that if you can't learn math well, you can't learn other subjects well; Secondly, we should have the spirit of learning and the tenacity to learn well. In the process of in-depth study, we can appreciate the mystery of mathematics and the joy of learning mathematics to succeed. If you persist for a long time, you will naturally have a strong interest in mathematics and arouse your high consciousness and enthusiasm in learning mathematics well.

Second, be familiar with formulas and explore concepts

Many students pay insufficient attention to concepts and formulas. This problem is reflected in three aspects: first, the understanding of the concept only stays on the surface of the text, and the special situation of the concept is not paid enough attention. For example, in the concept of algebraic expression (an expression expressed by letters or numbers is algebraic expression), many students ignore that "a single letter or number is also algebraic expression". Second, concepts and formulas are blindly memorized and lack of understanding. The knowledge learned in this way can't be well connected with solving problems. Third, some students do not pay attention to the memory of mathematical formulas. Memory is the basis of understanding. If you can't memorize the formula, how can you skillfully use it in the topic? The learning of basic mathematics knowledge includes three aspects: concept learning, theorem and formula learning and problem-solving learning. To learn a mathematical concept, we should be good at grasping its essential attribute, which is different from other concepts; To learn theorem formulas, we should firmly grasp the internal relations of theorems, grasp the applicable scope and types of theorem formulas, and skillfully use these theorem formulas. In fact, solving mathematical problems is to solve problems on the basis of mastering concepts and theorems and formulas, and to complete the transformation from "unknown" to "known". In short, to learn mathematics well, we should be familiar with the concept of formula mining, pay attention to the internal relations of knowledge, understand its laws and essence, form a closely related overall understanding system, and promote the mutual migration and transformation among various forms.

Thirdly, the type of induction is analogy.

This work is not only for teachers, but also for our classmates. When you can summarize the topics, classify the topics you have done, know which types of questions you can do, master the common methods of solving problems, and which types of questions you can't do, you will really master the tricks of this subject and truly "let it change, I will never move." If this problem is not solved well, even if you do it every day, the result may not be "sharp". The reason is that they do repetitive work every day, and many similar problems are repeated, but they can't concentrate on solving the problems that need to be solved. Over time, the problems that can't be solved have not been solved, and the problems that can be solved have also been messed up because of the lack of overall grasp of mathematics. Doing problems is like digging gold mines. Every wrong question is a gold mine. Only by digging and refining can we gain something. "Summary" is the best way to avoid problems.

Fourth, collect mistakes and sum up experience.

Face mistakes and failures correctly. When you don't learn some knowledge in class, when you make mistakes in practice, or when you do poorly in exams, you should neither complain nor be discouraged. You should face the reality. It doesn't matter if you haven't studied it. Write this knowledge in your memo, then ask your classmates and teachers, and then write the correct explanation or result on other pages. The same is true of wrong questions. Aren't there many wrong questions when you fail the exam? The correct way is to copy the original question into the memo, learn the correct method, and write the practice and results on other pages. If you can pay attention to the matters needing attention in doing this kind of problems, your learning efficiency will be improved by 30%-60%. The reason why the answers or explanations are written on other pages is to think about the understanding and explanation of the knowledge points next time you look at the knowledge points or wrong questions, and then practice the exercises and answers of the questions. The most difficult thing for students is their own mistakes and difficulties. But this is precisely the problem that needs to be solved most. There are two important purposes for students to do problems: First, to practice the knowledge and skills they have learned in practical problems. The other is to find out your own shortcomings and make up for them. This deficiency also includes two aspects, mistakes that are easy to make and contents that are completely unknown. However, the reality is that students only pursue the number of questions and deal with their homework hastily, rather than solving problems, let alone collecting mistakes. If you pay attention to collecting your typical mistakes and problems, it is because you will find that you thought you had many small problems before, but now you find that this one is repeated; You thought you didn't understand many problems before, but now you find that these key points have not been solved. Mistakes and failures are not terrible. As long as you can face them squarely, everything will be the driving force for your success.

5. Ask for help in distress and be diligent in asking questions.

"Diligence" is the foundation and "thirst for knowledge" is the key. Find problems you don't understand and actively ask others for advice. This is a very common truth. But this is what many students can't do. There may be two reasons: first, insufficient attention has been paid to this issue; Second, I'm sorry to ask the teacher for fear of being trained, and ask my classmates for fear of being looked down upon by them. With this mentality, you can't learn anything well. "Building a car behind closed doors" will only make your problems more and more. Knowledge itself is coherent, the previous knowledge is unclear, and it will be more difficult to understand later. When these problems accumulate to a certain extent, you will gradually lose interest in the subject. Until I can't keep up. If the teacher doesn't know after speaking, be sure to ask the teacher again until you understand. When a question can't be answered after two or three times, ordinary students are embarrassed to ask. Don't do this. Teachers like the character of "Don't give up if you don't know". Listen carefully, think carefully and take notes in class. When taking notes, you must be clear, because the value of notes is more than that of textbooks, and future review mainly depends on it. "Sharpen the knife and cut the wood by mistake", the first thing after class is not to do homework, but to learn the knowledge points in notes and textbooks first. The contents of notes must be memorized and understood. When you do your homework, you should think independently. If you really can't solve the problem, discuss it with your classmates and teachers. When you ask your classmates, don't ask what the result of this problem is, but ask "how to do this problem?" "What is the title of this road?" Discussion is a very good learning method. A difficult topic, after discussion with classmates, may get good inspiration and learn good methods and skills from each other. It should be noted that it is best to discuss with your classmates at the same level, and everyone can learn from each other.