If you are tired of learning, you can change your learning style or form.
Don't learn by rote in isolation from below.
4. Write down commonly used sentence patterns and memorize them at any time.
5. Try to "psychologically translate" the things you come into contact with, such as the advertisements that flash by, the words you occasionally hear, etc.
6. Remember what must be right.
7. When copying and memorizing sentence patterns and idioms, use singular first person.
8. A foreign language is like a bunker. We must besiege from all directions at the same time, such as reading newspapers, listening to radio, watching foreign language movies, listening to foreign language lectures and studying textbooks.
9. Dare to speak a foreign language, don't be afraid to make mistakes, ask others to correct me, don't be embarrassed and don't be discouraged.
10. Be sure that you can achieve your goal, and that you have strong perseverance and the ability to learn a foreign language well.
If you want to learn English well, you must first cultivate your interest in English. "Interest is the best teacher", and interest is a great motivation to learn English. With interest, learning will get twice the result with half the effort. We all have this experience: if you like something, it is easy to stick to it; Things you don't like are hard to stick to. Interest is not innate and needs to be cultivated. Some students said, "I have a headache when I see English." How can I cultivate my interest in English? " Another classmate said, "Remember English words today and forget them tomorrow. I'm so stupid. Alas, I'm hopeless. " This is all a sign of lack of confidence. When I first started learning English, I didn't have the right learning methods, the confidence to win, the courage to overcome difficulties and the motivation to make progress. If I fail a little, I will surrender my gun to setbacks and bow to difficulties. You will find English a boring subject. After studying for a period of time, your enthusiasm for learning will gradually decrease, and naturally you will not get good grades. However, with the help of teachers, we should realize the necessity of learning English, treat English learning with a correct attitude and guide learning with scientific methods. At first, take part in some English activities, such as singing English songs, playing English games, reading English humorous articles and practicing oral dialogue. After a long time and more knowledge, I will be interested. Of course, you will have the motivation and desire to learn. Then, like farmers, we must be diligent, tireless, hardworking and sweaty, and we will certainly succeed and reap fruitful results. After all, no pains, no gains.
Practicing basic skills is a necessary condition for learning English well. Without a solid English foundation, it is impossible to continue learning, let alone achieve something. If you want to have solid basic skills, you must concentrate on listening carefully, do a good job in each class, improve classroom efficiency, and do the following "five things" step by step:
First, "the heart is here." In class, we should concentrate and never slack off. Our brains should always be in a positive state and our thinking should be active and open. We should follow the teacher, understand every word, grasp every link, understand every knowledge point, associate more and think more, in order to get the message.
Second, "hand to". When learning English, you must take class notes. Because people's memory is limited, people can't always remember everything. Memory itself is a process of constant struggle with forgetting. As the saying goes, "a good brain is not as good as a bad pen." What the teacher said may be remembered in class and forgotten later, so it is necessary to take notes. English knowledge is also accumulated bit by bit. Every word, phrase and sentence structure you learn is recorded in a notebook, even in the blank or between the lines of the book, which is very convenient for future review and consolidation.
Third, "hearing". In class, it is very necessary to listen carefully, not only to the teacher's explanation of knowledge, but also to the essentials of English pronunciation, such as pronunciation, intonation, stress, linking, loss of speech, sentence breaking, etc., so as to cultivate your pure and authentic spoken English. Hear and understand every knowledge point taught by the teacher, and form feedback in your mind to help you remember; Understand the teacher's questions, so as to answer them quickly, and compare the students' answers to the questions, so as to deepen the understanding of the questions, learn from others and make up for their own shortcomings.
Fourth, "eyes to". While listening carefully, we should also follow the teacher closely with our eyes and observe the teacher's movements, mouth shapes, expressions, blackboard writing, drawing, teaching aid display and so on. The combination of visual information and auditory information formed in the brain will make the impression more profound.
Fifth, "mouth to mouth". You can't learn a language well without opening your mouth. The biggest problem for students is that they don't make any noise when reading, so they are embarrassed to speak. Especially in the morning reading class, students only read with their eyes or silently, so there is only visual information, and there is no feedback of auditory information in their brains. Of course, the memory will not be too deep, and the oral muscles will not be exercised, so it is difficult to practice pure English. So make full use of the clear-headed time in the morning and read aloud; Answer the teacher's questions bravely in class, actively participate in the discussion and debate among students, and ask unclear questions in time after class. We should overcome shyness and not be ashamed to ask questions. Read more texts you have learned, be diligent and take great pains. You can read them with a tape recorder and try to imitate their pronunciation and intonation to correct their pronunciation. You should read them in cadence and fluently, and you'd better recite some classic articles. Seize every possible opportunity to practice oral English, for example, communicate with foreign teachers, participate in "English corner" activities, talk with classmates, tell English stories, sing English songs, perform English short plays and recite poems. Besides carefully reading the model essays in textbooks, we should also read more extracurricular books suitable for our middle school students, which can not only increase our knowledge, but also broaden our horizons and improve our reading level.
Learning English, vocabulary memory is essential, vocabulary is the basis of learning English well. Without vocabulary, there would be no sentences, let alone articles, so memorizing words is extremely important for us. There are two keys to remembering words:
First, perseverance: recite a certain amount of vocabulary every day and review it again in a few days, so that short-term memory can become long-term memory and be firmly mastered. It should be noted that once you start, you must stick to it, never give up halfway, and never fish for three days and dry your net for two days.
The second is a good memory method: there are many ways to remember words. There is no fixed learning method, but there are good learning methods. In my opinion, Zhang Sizhong's "centralized word recognition and classified memory" is a good method suitable for middle school students. Collect and classify 3500 words that middle school students should master, pass the word barrier first, then learn the textbook, and use and consolidate the usage in the textbook. There are many classification methods. Words with the same vowel or vowel combination and the same pronunciation are grouped together. Concentrate on memory according to word form, part of speech, synonyms and antonyms; Words or phrases with the same word formation methods, such as root, prefix, suffix, synthesis, transformation, derivation, etc., are listed together to concentrate on memory, which is more impressive and more obvious. So remember 40-80 words every day, persevere, associate more, think more, use more, won't the vocabulary problem be solved? In the process of learning, pay more attention to the usage of words and the collocation of phrases, and remember the word idioms and sentence patterns that the teacher said, which will not only help us solve problems, but also be handy in writing.
Memorizing words, understanding parts of speech and meanings, mastering their fixed collocations and idioms, and memorizing various usages of tenses and clauses are only half done. We still have to apply them to practice. Just like learning swimming and optical theory, not using it in water does not mean mastering this technology. There is no need to engage in sea tactics, but a certain amount of typical exercises are essential to consolidate the knowledge learned. Pay attention to basic exercises first, such as after-class exercises and unit synchronization exercises. These are all consolidation exercises of classroom knowledge, and we should not aim too high, just want to eat a fat man. Some people do some special exercises in grammar and exam questions after mastering the basic knowledge. In particular, students are encouraged to prepare a set of "wrong questions" and record the representative test questions or language points that they are prone to make mistakes at ordinary times, so as to check and fill in the gaps in the future and make the mastery of knowledge achieve twice the result with half the effort.
English is a language. You must either remember words, phrases, sentence patterns and grammar items or learn them well. The key lies in the use of language, so you must pay attention to the all-round development of listening, speaking, reading, writing and translation when learning English. English learning is first a process of memorization, and then a process of practice. In any case, learning English is essential. This is a gradual process, which accumulates over time. There is no shortcut, and there is no so-called "quick cure". You can't learn English well if you are eager for success and don't do practical things. Any success depends on your own efforts, you should study step by step, be diligent and earnest, have a correct attitude, and take setbacks and failures seriously. Failure is not terrible, what is terrible is losing confidence in yourself and never recovering. For the failure of the exam, calmly analyze and seriously think, as long as you are full of confidence in the victory, good at summing up experience and lessons, and constantly strive and pursue, the victory will definitely belong to you.
(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.
The advantages of taking notes are:
1. It's not easy to be absent-minded, because you have to listen, remember and think in class. Can maintain concentration and persistence, and strengthen the acceptance and understanding of knowledge.
2. Take notes with hands, eyes, ears and brain, so that sensory organs and thinking can be fully trained and learning ability can be improved.
Basic methods of mathematics learning
Learning mathematics requires not only a strong desire and enthusiasm for learning, but also scientific learning methods to learn mathematics well. From the analysis of mathematics learning activities, we can see that learning methods are not only restricted by classroom teaching, but also have some characteristics of their own. Therefore, on the one hand, we put forward learning methods suitable for classroom teaching, on the other hand, we summarized some special learning methods according to the characteristics of mathematics learning.
Methods of preview, lecture, review and homework
Learning methods suitable for mathematics classroom teaching are the basic methods of previewing, attending classes, reviewing and doing homework.
1, preview method
Preview is to read the upcoming mathematics content before class, understand its outline, and be aware of it, so as to grasp the initiative in class. Preview is an attempt of autonomous learning. Whether you understand the learning content correctly, whether you can grasp the key points and hidden thinking methods, etc. It can be tested, strengthened or corrected in time in class, which is conducive to improving learning ability and forming the habit of self-study, so it is an important part of mathematics learning.
Mathematics has a strong logic and coherence, and new knowledge is often based on old knowledge. Therefore, when previewing, you should find out what you need to learn new knowledge, and then recall or review it again. Once we find that the old knowledge is not well mastered or even understood, we should take timely measures to make up for it, overcome the learning obstacles caused by not mastering or forgetting, and create conditions for the smooth learning of new content.
The method of preview, besides recalling or reviewing the old knowledge (or preparatory knowledge) needed to learn new content, should also understand the basic content, that is, know what to say, what problems to solve, what methods to adopt, where the focus is, and so on. In preview, reading, thinking and writing are generally used to draw out or mark the main points, levels and connections of the content, write down your own views or places and problems that you can't understand, and finally determine the main problems or solutions to be solved in class to improve the efficiency of class. In the arrangement of time, the preview is generally carried out after review and homework, that is, after finishing homework, read the content to be learned in the next class, which requires flexibility according to the specific situation at that time. If time permits, you can think more about some problems, study deeply, and even do exercises or exercises; Time does not allow, we can have fewer questions and leave more questions for lectures to solve. There is no need to force unity.