What are the good ways to learn English for beginners? Help recommend a study book, thank you!

1, you might as well set yourself some time limits. It's easy to get tired of studying for a long time. At this time, you can divide your homework into several parts and limit the time of each part, for example, finish this exercise within one hour and finish that test before eight o'clock. This will not only help to improve efficiency, but also avoid fatigue. If possible, gradually shorten the time used, and soon you will find that the homework that you couldn't finish in an hour before is now finished in 40 minutes.

2. Don't do other things or think about other things while studying. Everyone knows that you can't do two things at once, but there are still many students who listen to music while studying. Maybe you will say that listening to music is a good way to relax your nerves, so you can concentrate on studying for an hour and then relax listening to music for a quarter of an hour, which is much better than doing your homework with headphones on.

Don't review the same lesson all night. I used to spend an evening watching math or physics. Practice has proved that it is not only easy to get tired, but also has a poor effect. Later, I arranged to review two or three classes every night, and the situation was much better.

You don't need to take detailed notes in class except for very important content. Busy taking notes in class will be inefficient, and there is no guarantee that you will take notes after class. The main work in class should be to digest and absorb the teacher's lecture content and make some brief notes appropriately.

Experience 2:

I have also talked to many people about learning efficiency. We often see such a situation: a classmate studies extremely hard, studying at school, studying at home, sometimes staying up late and doing countless problems, but his grades are always not up. In fact, I am also very anxious in the face of such a situation. Originally, what you have paid should be rewarded. Moreover, if you pay more, you should get a lot of rewards. This is a natural thing. But this is not the case. There is an efficiency problem here. What does efficiency mean? Just like learning, some people will practice it ten times, while others need to practice it a hundred times. There is an efficiency problem.

How to improve learning efficiency? I think the most important thing is to combine work and rest. What is most needed to improve learning efficiency is a clear and agile mind, so proper rest and entertainment is not only beneficial, but also necessary, which is the basis of improving learning efficiency. So how to improve the efficiency of class? In my experience, it is necessary to preview before class, but my preview is rough, and I only glance at the teaching materials, so that the contents and key points of the teaching materials are roughly in my mind and I can be more targeted when I attend classes. When we preview, we don't need to be too detailed. If we are too detailed, it is a waste of time. Second, I will be a little lax in class, and sometimes I will ignore the most useful things. It is of course necessary to listen carefully in class, but as one of my former teachers said, no one can concentrate in a class, which means it is impossible to concentrate for more than 40 minutes, so there is also a problem of time allocation in class. Teachers can relax when they talk about familiar things. In addition, taking notes sometimes hinders the efficiency of class. Sometimes a class is busy copying notes, and sometimes some very important things are ignored, but this does not mean that you can not take notes, which is not enough. Everyone will forget that with notes, there will be a basis for review. Sometimes the teacher talks a lot and writes a lot on the blackboard, but you don't need to remember them all. Of course, you should remember some books. Otherwise, remember what you see, which will inevitably affect the efficiency of class, and the loss will outweigh the gain.

How to improve the efficiency of doing problems? The most important thing is to choose a "good topic" and never do it indiscriminately. In that case, it will often get twice the result with half the effort. The questions are all around knowledge points, and many questions are quite similar. First, choose the knowledge point you want to strengthen, and then choose the questions around this knowledge point. There are not many problems. Just a similar question is enough. After choosing the topic, you can do it seriously. The improvement of problem efficiency largely depends on the process after the problem is solved. For the wrong question, we should seriously think about the cause of the error, whether it is because the knowledge points are unclear or careless. After the analysis, do it again to deepen the impression, so that the efficiency of doing the problem will be much higher.

Comments: Yu Xia's suggestion on attending lectures and doing problems actually reflects an important method to improve learning efficiency-"keeping your strength on the cutting edge", that is, allocating time reasonably, paying attention to key points when attending lectures and taking notes, and grasping typical examples when doing problems, which is "getting twice the result with half the effort" in learning.

Experience 3:

Learning efficiency is an important factor in determining academic performance. So, how can we improve learning efficiency?

First, confidence. Many scientific studies have proved that human potential is great, but most people have not effectively developed this potential. Among them, people's confidence is a very important aspect. No matter when and where you do anything, with this confidence, you will have the belief of winning, and you will soon get rid of the shadow of failure. On the contrary, if a person loses self-confidence, he will accomplish nothing, and it is easy to fall into eternal inferiority.

Another important means to improve learning efficiency is to learn to concentrate. The process of learning should be a process of thinking with the brain. Whether you look with your eyes, read with your mouth, or copy by hand, they are all means to help your brain. The real key is to think with your head. Give a very simple example, such as memorizing words. If you just browse or copy aimlessly, it may take many times to remember, and it is not easy to remember. But if you can give full play to your imagination and use the method of association to remember, you can often remember quickly and not easily forget. Nowadays, the method of memorizing English words quickly introduced in many books also emphasizes the role of brain association. It can be seen that if we can concentrate 7 times and give full play to the potential of the brain, the learning effect will definitely be greatly improved.

Another important factor affecting learning efficiency is people's mood. I think everyone has had this experience. If one day, he is full of energy and spirit, he will feel relaxed and learn quickly. In fact, this is when we learn efficiently. Therefore, it is very important to maintain a good self-emotion. In daily life, we should have a more cheerful attitude, don't think too much about things that are not satisfactory, and treat people and things around us with a warm and optimistic attitude to life, because it is very beneficial to others and ourselves. This can create a very relaxed atmosphere around you, and you will feel particularly energetic when you study.

Experience 4:

Many students seem to work hard, but their grades are always unsatisfactory. One of the reasons is that learning efficiency is too low. At the same time, you can only master half of what others have learned, so how can you learn well? Learning should pay attention to efficiency, improve efficiency, the way is as follows:

First, ensure 8 hours of sleep every day.

Don't stay up late at night, sleep regularly. Insisting on taking a nap at noon, adequate sleep and full spirit are the basic requirements for improving efficiency.

Second, you should concentrate on your studies.

Have fun when you play, and study hard when you study. It is not a good policy to study hard at your desk all day. When you learn to a certain extent, you have to rest and replenish energy. After studying, you must pay attention to rest. But when you study, you must devote yourself wholeheartedly and use your hands and brains. When I was studying, I often had the realm of Tao Yuanming's "although in the downtown area, there is no noise between cars and horses". Only my hands and brain communicate with textbooks.

Third, insist on physical exercise.

Good health is the capital of "learning". Without good health, no matter how great your ability is, you can't play it. Therefore, no matter how busy you study, you can't ignore relaxation and exercise. Some students neglect exercise in order to study, their health is getting weaker and weaker, and their study is becoming less and less adequate. How to improve learning efficiency in this way?

Fourth, active learning.

Only by studying actively can we feel fun and be more interested in learning. With interest, efficiency will be improved unconsciously. Some students have a poor foundation, and there are always questions they don't understand in the learning process, so they are ashamed to ask others for advice. As a result, they are unhappy and absent-minded How can we improve learning efficiency? At this time, the only way is to ask someone for advice. What you don't understand must be understood, and you can make progress by accumulating bit by bit. Only in this way can the efficiency be gradually improved.

Fifth, keep a happy mood and get along well with your classmates.

I am in a good mood every day, do things neatly, study actively, and naturally have high efficiency. On the other hand, combining individuals and collectives, maintaining mutual assistance and unity with classmates can also improve learning efficiency.

Sixth, pay attention to finishing.

In the process of learning, put the textbooks, homework and materials of each subject together regularly. When you use it, you can know where it is at a glance. When some students looked for a book, they turned and disappeared. Time passes in the busy and anxious search. In my opinion, students who are disorganized can't learn well.

Comments: The improvement of learning efficiency is largely determined by other factors besides learning, because many factors such as people's physique, mood and state are closely related to learning efficiency.

abstract

Learning must pay attention to methods, and the essential purpose of improving learning methods is to improve learning efficiency.

The level of learning efficiency is the embodiment of a student's comprehensive learning ability. When I was a student, the level of learning efficiency mainly affected my academic performance. When a person enters the society, he will constantly learn new knowledge and skills at work. At this time, a person's learning efficiency will affect his/her work performance, and then affect his/her career and future. It can be seen that developing good study habits and high learning efficiency in middle school is of great benefit to people's life development.

It can be considered that people with high learning efficiency must be students with good academic performance (implication, good academic performance is not necessarily efficient). Therefore, for most students, improving learning efficiency is a direct way to improve their academic performance.

Improving learning efficiency is not a one-off event, and it needs long-term exploration and accumulation. The experience of predecessors can be used for reference, but we must fully combine our own characteristics. The factors that affect learning efficiency are internal factors, but more are external factors. First of all, we should develop good study habits and make rational use of time. In addition, we should also pay attention to the cultivation of basic qualities such as "concentration, intention and perseverance" and have a deep understanding of our own strengths and weaknesses. In short, "nothing is difficult in the world, I'm afraid there is a will."

Responder: Zuo Xiao You Yao-Magician Level 4 3- 1 1 10:57.

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Talking about learning methods

Premier Zhou taught us before his death: "It is never too late to learn." People can't stop learning, and they can't stop learning. Learning is an important way for a person to acquire knowledge and experience in his life and turn it into behavior. It can enrich life, develop body and mind, and promote the all-round development and improvement of individuals. To learn well, we must pay attention to scientific learning methods. The so-called learning method is the means and methods people adopt in the learning process. It includes methods of acquiring knowledge, learning skills, developing intelligence and cultivating ability.

Einstein summed up his great achievements with a formula: w = x+y+z and explained that w stands for success, x stands for hard work, y stands for the correct method, and z stands for no empty talk. The German philosopher Descartes once said: "The most valuable knowledge is the knowledge about methods." Numerous facts have proved that scientific learning methods will give full play to learners' talents and make them smarter as they learn. It brings high efficiency and fun to learners, thus saving a lot of time. But illegal learning methods will hinder the display of talent, and the more you learn, the more you die. It has brought inefficiency and trouble to learners. Therefore, methods play a very important role in success. So, how can we learn to master scientific learning methods? Here are five main learning methods.

(1) Prepare well.

Preview is self-study before class. Refers to reading a new lesson independently before the teacher gives a lecture. A preliminary understanding of the content is a process of preparing for accepting new knowledge in class. Some students, because they don't have the habit of previewing, know nothing about what the teacher is going to say in a class, waiting for the teacher to give a lecture. Listen to the teacher and do as the teacher asks, which is dull and passive, lacking the enthusiasm and initiative of learning. Although some students can preview, they seem to just skim through the books without thinking or analyzing. This preview has no effect at all.

1. Benefits of preview

(1) can find the weak links in their own knowledge, and make up this part of knowledge before class, so as not to become a stumbling block when listening to lectures. In this way, new knowledge will be understood smoothly.

(2) It is beneficial to listen to the teacher's ideas in class. Strong selectivity to the teaching content. Clear what knowledge should be put into the main energy to strengthen understanding and digestion; Where to take notes, be conscious.

(3) Preview helps to clarify the key points and difficulties, and is convenient for attending lectures and asking questions with questions. Focus on the difficult points. This is easy to solve doubts, sounds relaxed and interesting, thinks smoothly and actively, and has a high learning effect.

(4) Preview can improve the level of note-taking. Because of the preview before class, the content and blackboard writing are very clear to me. In class, you can not write down or write down the contents of the book, but focus on the contents that are not in the book or that you are not clear about, as well as the key issues that the teacher reminds you repeatedly. So we can spend more time thinking and understanding problems.

2. Several problems that should be paid attention to in the preview.

(1) Reading, thinking, asking questions and memorizing should be carried out simultaneously in preparation for the exam. You can read as much as possible in the textbook. You don't need to fully understand it, and you don't need to delve into the problem. You just need to mark different symbols with a pen. Write down the questions you don't understand as the focus of the class. But you must know what you have learned and the small problems that the teacher can't tell, so as to eliminate the "obstacles".

(2) If I didn't have the habit of previewing before, I want to change my method and preview before class, but I can't spread it all at once. Every course is previewed in advance. Doing so will feel that there is not enough time. It looks very nervous and can't achieve the preview effect. Therefore, at the beginning of preview, we should first choose one or two subjects that are difficult for us to learn, wait until we have tasted the sweetness and gained experience, and then gradually increase the subjects when time permits until they are fully rolled out.

(3) Preview should be carried out after the completion of the day's homework. If you have more time, you will preview more courses and drill deeper; On the contrary, just preview a few courses less and drill a little shallowly. You must not be busy previewing before you finish your study tasks every day, which will disturb the normal learning order.

(4) Students with poor learning don't preview before class and don't understand in class. After class, they still need to spend a lot of time filling in the blanks and doing their homework. They are so busy all day that they can't find time to preview. In fact, the fundamental reason for such poor students is that they do not preview. Learning consists of preview, class, review and homework. Insufficient preview will affect the smooth progress of the following links. These students must be prepared to suffer more in the short term. After finishing your daily study tasks, you should arrange some time for preview. Although it takes time, I can understand it in class, which reduces the time wasted because I don't understand it in class. At the same time, it can also reduce the time of sorting, digesting and homework after class. After a long time, normal operation will change the passive situation of learning, and there is no need to work overtime anymore.

3. Preview requirements

(1) Pay attention to actual effect, not become a mere formality. Arrange your time according to your study plan, don't focus on one thing at a time. Preview is usually arranged on the night before the new class. In this way, the impression will be deeper. If the new lesson is difficult, you should preview more time; If it is difficult, you should spend less time previewing. We should focus on those subjects that are difficult for us to learn, and it is our turn to teach new courses for preview, while other subjects only need general preview. Some subjects can also use Sunday to concentrate on previewing the courses to be taught next week, reducing the burden of previewing every day.

(2) The task of preview is to understand and perceive the content of the new lesson (such as concepts, definitions, formulas, demonstration methods, etc.). ) through the preliminary reading, so as to clear the way for a smooth understanding of the new lesson. The specific tasks are: ① Review, consolidate and cram the old knowledge you have learned, find out the problems you don't understand in the new lesson, and write them down thoroughly. ② What is the basic content in the new lesson? What have these knowledge contents developed on the original basis? And find out the key points, difficulties and incomprehensible places in the book. (3) When previewing, we should combine watching, thinking and doing. Look: Generally, read the new lesson through, and then underline the important contents in the book with a pen. If you need to check, check; If you need to think, you must think seriously; What needs to be remembered should be written down. Thinking: It means that if you want to think sometimes, you should read with your head down, think with your head up, write questions by hand and think with your head. Do: In the process of reading, you need to make preparations and try to do exercises after the textbook. Answer questions and answers. If you can't do it, you can preview it again or write it down. Ask the teacher when he is listening or teaching. After previewing, close the book and make a summary. Doing so can make you have a deeper impression on the new textbook.

(2) Pay attention to lectures

Students spend most of their time in the classroom. Therefore, attending classes is the central link for students to accept teachers' guidance, master knowledge and develop intelligence. This is an important way to acquire knowledge. It is the key to ensure efficient learning. When listening to the class, some students listened attentively; Some people are distracted, depressed and dozing off. Some are like tape recorders, listening and recording all; Some listen and write down, and what the teacher says can basically be written down; Some mainly listen, think while listening, and write down the questions; Some don't remember at all, just listen; Some people think while listening and rowing. When thinking, some think about the content of the class, some think about the knowledge system related to this class, some think about the teacher's ideas, and some compare their own ideas with the teacher's ideas.

So, how can we achieve the purpose of listening to a good class? The general requirement is to grasp the different characteristics of each subject, listen with questions, listen clearly to the content, remember the main points, grasp the key points, pay attention to the teacher's teaching methods and ideas, and dispel doubts. Specific requirements:

1. We should fully understand the important role of teachers in the classroom. Because teachers play a leading role in classroom teaching. His analysis and explanation in class are far more detailed than after-class tutoring, which is unmatched by students' own reading. Classroom teaching is the simplest way for teachers to guide students to master knowledge. Therefore, every student should learn from the teacher with an open mind. Do a good job in every class under the guidance of the teacher.

2. Pay attention, concentrate on listening to the teacher's explanation, follow the teacher's lecture ideas, and never be distracted. If you have a better idea inspired by the teacher, you can write it down in your notebook and think deeply or ask your teachers and classmates after class. In short, "distraction" in class is the enemy of learning.

In class, you can try to make your own judgment and conclusion before the teacher makes it. See if what you think is consistent with what the teacher said. Find out the cause of right and wrong.

4. Try to understand in class. Cognition is a thinking process of grasping the essence, internal relations and laws of things. So, how to understand it in class? In class, what you think should be unified with what the teacher said, and what you think should be unified with what the teacher said. Inspired by the teacher, you should always use your head and think positively. If you don't understand or understand thoroughly in your thinking, you should raise your hand and ask questions. If the teacher has no time to answer your questions in class, you should continue to listen to the teacher's explanation. Ask the teacher after class.

5. Follow the teacher's ideas. The purpose of class is to increase knowledge and develop intelligence. Therefore, if you can't understand knowledge, even if you attend classes no matter how good, it is equivalent. A high-level lecture should not only pay attention to the specific knowledge imparted by the teacher, but also pay attention to the teacher's teaching ideas. The purpose of pursuing teachers' ideas is to clarify the various thinking modes and thinking processes used by teachers in the teaching process. Learn how teachers think carefully and scientifically, so as to improve their thinking ability and intelligence. Some students don't pay attention to the teacher's lecture ideas, but focus on reciting the teacher's deduction and induction formula or conclusion, which is considered to be the main purpose of class. In fact, the knowledge you master in this way is dead knowledge that you know but don't know why. This kind of dead knowledge is soon forgotten and can't be used to solve practical problems, let alone develop intelligence.

6. Grasp the key to the knowledge content and subject characteristics of a class. The key of knowledge content generally refers to basic concepts, basic principles, basic relationships, formulas and definitions. When the teacher explains these key knowledge, you must pay special attention and hold on tight. Similarly, the key study without grasping the characteristics of the subject will also affect your learning effect. In fact, the content system, development ideas, training requirements and teaching methods of each subject have their own characteristics. These characteristics must be mastered in learning. For example, in physics, chemistry and biology classes, we should pay special attention to observation and experiment, and master scientific concepts and laws through thinking on the basis of perceptual knowledge. Mathematics should acquire mathematical knowledge and cultivate mathematical thinking ability through a lot of calculus and proof exercises. When listening to lectures, Chinese and foreign languages mainly grasp the knowledge points of words, phrases, sentences and texts, and improve their reading and writing ability through listening, speaking, reading and writing. In order to better understand and master language and writing.

(3) Grasp the review link.

Review is to systematically reprocess the knowledge learned before, and make appropriate adjustments according to the learning situation to prepare for the next stage of learning. So every class, every text, every unit and every book should be reviewed in time. If the review is timely and appropriate, the knowledge will be less forgotten. As early as 1885, German psychologist Ebbinghaus found through experiments that the material he had just memorized could only keep 44% after one hour. Can remember 33% after one day; Only 28% remained after two days; After six days, 25%. All people will soon forget what they have learned, and then slowly forget it. Some students with good memory often review from different angles and levels, so as to achieve "review every day, summarize every week and summarize every chapter", thus forming an amazing memory. So many students can't remember what they have learned, not because they are stupid, but because they are not good at reviewing, or they are not good at reviewing.

1. Review requirements

(1) Go over what the teacher said on the blackboard in time after class, just like watching a movie. See how much you can remember and how much you forget. Then open your notes and look for blanks.

(2) When reading textbooks, you should think while reading and think deeply about the key points and difficulties. Analyze doubts and deepen understanding.

(3) Read the necessary reference books to enrich what you have learned in class.

(4) Organize and enrich notes, classify knowledge, deepen, simplify and organize knowledge, and strengthen memory according to laws.

(5) Strengthen practice. Generally speaking, practice should be done after review, or practice while reviewing. In the review process, strengthening practice can improve the review effect.

(1) Review in time. Review what you learned that day, and never put it off. Don't owe the account. Otherwise, if the content is unfamiliar and the knowledge structure is scattered, it will take twice as long to relearn. Understand that it is much easier to repair a collapsed house than to rebuild it.

(2) Review concepts, formulas, laws, theorems and laws closely. Think about how they are formed and derived. What can it be applied to? What do they need? Is there any other statement or proof? What knowledge is it related to? Grasp the knowledge firmly by tracing the source.

(3) Review repeatedly. Review once after learning a lesson and once after learning a chapter (or a unit). Summarize systematically in a stage of learning. Focus on reviewing it at the end of the term. Through this step-by-step review, the knowledge connection formed will not fade.

(4) Review should have your own ideas. After reviewing a lesson, a section and a chapter, write a summary of your thoughts and ideas, list charts, or use the method of outline summary to connect the previous knowledge and form a complete knowledge network.

(5) When you encounter problems in review, don't rush to read books or ask people, think before you look (ask). This will help to concentrate, strengthen memory and improve learning efficiency. Every time you review, you should first recall the last time. Doing so not only maintains the continuity of learning, but also has a good effect on memory.

(6) In the review, we should look at some questions properly and do some questions. The selected questions should be selected around the review center. Before solving the problem, we should first recall the ideas we have done in the past and then do the problem on this basis. The purpose of doing the problem is to check your review effect, deepen your understanding of knowledge and cultivate your ability to solve problems. Doing comprehensive questions can deepen the understanding of the complete system of knowledge and cultivate the ability of comprehensive application of knowledge.

(4) Complete the operation independently.

Doing homework independently is an important means to deepen knowledge, consolidate knowledge and check the learning effect, and it is also the main form of combining review with application. But some students didn't really make good use of this link. They hurried to do their homework as soon as class was over. As soon as they finished their homework, everything was fine. Some students don't understand at all in class and don't ask after class. After copying their homework, they handed it over to the teacher. In fact, doing homework well has the following significance:

1. You can check your learning effect. Problems can be found by doing homework so as to remedy them in time.

2. By thinking when doing homework, we can deepen our understanding of knowledge, clarify confusing concepts and skillfully change formulas. In short, it is conducive to transforming the knowledge in books into your own knowledge.

3. Can cultivate thinking ability. Because of all kinds of problems raised in homework, I will inevitably urge myself to think positively and enhance my ability to analyze and solve problems.

4. After finishing your homework, don't throw it away, but organize it regularly to accumulate information for the general review. When reviewing, it is convenient, easy and impressive to look through the recorded homework.

Basic requirements and methods of doing homework:

1. Examining questions is an important step in doing homework. To get a topic, we must first judge which category it belongs to and how difficult it is. Distinguish the conditions and requirements of the topic. What are the known conditions? What other conditions can be mined from the information provided by the topic? What are its requirements? At the same time, let your thoughts follow the path of the topic. By thinking about the purpose and significance of solving problems accurately and thoroughly, we can distinguish what the known conditions are and what the conclusions required by the topic are. In the process of examining questions, we should also pay attention to other formal conditions that are not directly expressed in language, that is, pay attention to the mining of implicit conditions.

2. Find a way to solve the problem. There are generally three methods: one is "cause and effect", which can be expressed as "known → known → known ……", and finally a conclusion is drawn. The second is "holding the cause", that is, the conclusion ← needs to know ← needs to know ← ... ".In this way, we will pursue it layer by layer until all the known conditions are met. This way. It opens the way between the known conditions and the required conclusions. Thirdly, for some complicated topics, the first two comprehensive methods should be used to shorten the distance between conditions and conclusions as much as possible. That is, on the one hand, some known intermediate results are derived from known conditions, on the other hand, some intermediate results that need to be known are analyzed according to the requirements of the topic. Once the known needs and known things are unified, the way to solve the problem can be obtained.

When looking for solutions to problems, we should extensively contact with concepts, formulas, rules and methods related to these conditions and conclusions. Lenovo has solved the same or similar problems in the past. How was it solved at that time? If you can think of old knowledge, that is, the laws, principles and formulas corresponding to this problem, it will come to your mind, which will broaden the thinking of solving problems. The wider the association, the greater the span, and the better the problem-solving effect.

Sometimes, because the topic is complex, you can draw a sketch of the examination process for the convenience of thinking. This is actually the process of processing and transforming the topic by using the knowledge learned. After processing, the thinking is clear, and the shortcut to solve the problem will appear in front of you.

3. Solve the problem correctly. After two steps, I have found a solution to the problem and decided on a solution. However, we should also pay attention to the quality and quantity of solving problems in implementation. To do this, the steps to solve the problem must be calculated step by step. Standardized writing, clear format and accurate expression. To do this, we must have a solid foundation. In addition, in solving problems, important knowledge points should be written, complex questions should be concise, and simple questions should be written in detail.

4. Pay attention to the inspection. Just go back and check again to see if all the solutions required by the topic have been found and if there are any missing solutions. Whether the obtained solution meets the requirements of the topic and whether there is a wrong solution. Examination is an important link to cultivate students' independent thinking ability. There are many ways to check. ① Step-by-step test method. That is, from the beginning of the exam, check step by step. This method can detect errors in calculations and expressions. (2) Emphasis on practice. That is, do it again and see if the result is the same. ③ Substitution method. Substitute the calculation results into the formula or formula to see if it is reasonable. At the same time, we should also pay attention to practicing more questions, solving more questions and thinking more about one question. Compare the problem-solving habits of classification, and constantly improve your ability to analyze and solve problems.

Take class notes carefully.

Taking notes is for learning, understanding and use. The principle of taking notes is to give priority to listening, supplemented by taking notes. Concise, concise and detailed. Difficulties are not spared, and doubts are marked. Not chaotic, not miscellaneous, in good order. We should remember the problems we think of and find them in time. Leave a blank space in your notes so that you can fill in the blanks when reviewing.

The main contents of the notes are:

1. Remember the lecture outline, problem-solving ideas, important and difficult points and important experiences you have learned.

2. The ideas, arguments and reasoning process put forward by the teacher when solving problems. A clever and novel way to solve the problem.

3. Problems not solved in class. The connection or combination of new knowledge and old knowledge. An error-prone and confusing concept.

4. Remember the main points. Some books don't need to be memorized. You can leave blank in your notes, make up your notes after class or review them against your textbooks.

5. Preview the problems and experiences found, and master the bad old knowledge by yourself.

6. Extract materials from reference books that are helpful to the content of textbooks.