I. "Four Diligences"
1. Recite frequently.
Actively remember new words and phrases appearing in high school textbooks, understand their usage, and use some antonyms and similar words appropriately to strengthen memory. Although this step is boring, without it, learning English is like an eagle with broken wings. Without ambition, it is difficult to move.
2. Read aloud often.
This is one of the magic weapons to learn English well. Generally speaking, the content of reading aloud is limited to textbooks, not for the purpose of reciting. The focus is on your correct pronunciation, intonation and so on. By reading aloud, you can be familiar with words and their usage, experience English tone and context, and enhance your sense of language. It only takes about half an hour every day, but you must persevere.
3. Practice hard.
Although the tactics of "challenging the sea" are insufficient, it is necessary to do some exercises properly, especially those aimed at their own shortcomings. For example, cloze, a difficult problem to examine comprehensive ability, should be done more at ordinary times. After each completion, we should carefully re-check the answers to find out the rationality of these correct options, what knowledge points the questioner intends to examine and so on. Only through constant practice and experience can we constantly improve our English level and ability to take exams.
4. Sum up diligently.
Compared with other subjects, the knowledge of English is fragmentary, so we must work hard to collect, sort out and summarize it in peacetime. Some fragmentary knowledge mentioned by teachers or seen in reference books should be recorded in time for future review.
Second, "four more"
1. Read more books.
In recent years, the difficulty of English test questions has gradually increased, and the tentacles of test questions involve all fields of daily life. Therefore, from the first year of senior high school, we should expand the reading range as much as possible, so as to broaden our horizons and improve our English in a subtle way.
2. Listen more.
In recent years, listening questions have been gradually added to the senior high school entrance examination. In fact, listening more is not only for exams, but more importantly, you can gradually enhance your sense of language in the process of listening. Cultivating a keen sense of language is helpful to enhance discrimination and judgment, which is a very important part of English learning.
3. Say one more word.
Speaking more can enhance oral ability, deepen memory, and make what you have learned clearly reflected in your mind, which is not easy to forget.
4. Practice more.
Through a lot of practice, you can enhance your practical experience and avoid being flustered and at a loss. Moreover, practice makes perfect, and you can make rules when you do the questions, so you have a sense of language.
Of course, language learning itself is regular, and the so-called "four diligence" and "four more" are just a means of strengthening. To learn English well, it is more important to start with the language itself, study its mystery, strengthen practice one by one from words, phrases, sentences, chapters and other aspects, strictly abide by the principles of "four diligence" and "four more", and easily achieve good results.
"Rome wasn't built in a day", and English can't be learned in a day or two.
First of all, high school textbooks should be proficient in memorizing English vocabulary, which is the most basic element of English. Not remembering words is like a building without bricks.
Mastery of teaching materials. There are some classic texts in high school English textbooks. It is best to memorize the text and use it flexibly. Although this method is stupid, it is really effective.
Sentence pattern summary. We should be good at summarizing some typical sentence patterns and sum them up together, so as to draw inferences from one example to another.
Pay attention to the usage of some important verbs.
When you study, you should listen to more tapes and remember more things.
Grammar usually includes tense, number of nouns and pronouns, subject-predicate agreement, subjunctive mood, active and passive, infinitive (perfect and passive voice), participle (perfect and passive voice), independent structure, relative pronouns and adverbs of clauses. These aspects need to accumulate more memories in the usual study. Besides, there are grammar books to read. Pay attention to the content of grammar when learning textbooks, so that you will learn grammar better unconsciously over time.
The most important thing in spoken English is to speak English with your mouth open. When speaking English, there will be some grammatical mistakes, but this is normal. If you speak English, it is not normal to ensure that grammar does not appear. The most important thing in spoken English is to speak more. Express what you see and think in English. After a long time, your oral English will make a qualitative leap. In addition, I would like to recommend an oral book, A Complete Collection of Spoken English, which is published by Foreign Language Teaching and Research Press. It's good. You can watch it.
As for writing, practice writing a short article every week and try to use a single sentence. Of course, you can also use complex sentences. We can take part in some excellent papers, see how others compare with ourselves and find out our own shortcomings.
According to my personal experience, reading is essential. Don't be afraid to read articles with many new words. Always look them up in the dictionary. In particular, if you are really confident in learning English well, I suggest you try to memorize the key articles in each unit to cultivate your sense of language. High school English still attaches great importance to grammar, but when you have the basic knowledge of grammar, you can answer questions accurately with an accurate sense of language, and often the answers will come out naturally after reading them, but you need to stop and think about why you choose this way from the perspective of grammar. I believe that progress will be rapid.
In mathematics, it is true.
We know that learning mathematics needs to improve our mathematical ability step by step through review. Some students simply understand review as doing a lot of problems, while others think that review is memorizing and reciting related concepts, theorems and formulas in textbooks. It can be seen that many students still have misunderstandings about review: they don't really realize the characteristics of mathematics, and they don't distinguish themselves from other disciplines in review methods.
Mathematics is a highly applied subject, and learning mathematics means learning to solve problems. It's wrong to engage in sea tactics, but it's also wrong to learn mathematics without solving problems. The key lies in the attitude towards the topic and the way to solve the problem.
-the first is to choose a topic, so that it is less but better. Only by solving high-quality and representative problems can we get twice the result with half the effort. However, the vast majority of students have not been able to distinguish and analyze the quality of the questions, so they need to choose exercises to review under the guidance of teachers to understand the form and difficulty of the college entrance examination questions.
-the second is to analyze the topic. Before you solve any math problem, you must analyze it first. Analysis is more important than more difficult topics. We know that solving mathematical problems is actually to build a bridge between known conditions and conclusions to be solved, that is, to reduce and eliminate these differences on the basis of analyzing the differences between known conditions and conclusions to be solved. Of course, in this process, it also reflects the proficiency and understanding of the basic knowledge of mathematics and the flexible application ability of mathematical methods. For example, many trigonometric problems can be solved by unifying angles, function names and structural forms, and the choice of trigonometric formulas is also the key to success.
-finally summarize the topic. Solving problems is not the goal. We test our learning effect by solving problems, and find out the shortcomings in learning so as to improve and improve. So the summary after solving the problem is very important, which is a great opportunity for us to learn. For a complete theme, the following aspects need to be summarized:
In terms of knowledge, what concepts, theorems, formulas and other basic knowledge are involved in the topic, and how to apply these knowledge in the process of solving problems.
② Method: How to start, what problem-solving methods and skills are used, and whether they can be mastered and used skillfully.
(3) Whether the problem-solving process can be summarized into several steps (for example, there are three obvious steps to prove the problem by mathematical induction).
(4) Can you sum up the types of topics, and then master the general solutions of such topics (we are opposed to teachers giving students ready-made topic types and letting students take topic sets, but we encourage students to sum up their own topic types).
Mathematics learning method:
Review in an all-round way and read a book.
It can be seen from the content distribution of examination papers over the years that all the contents mentioned in the examination syllabus may be tested, and even some unimportant contents may appear in the big questions of a certain year. For example, in Mathematics No.1 Middle School in 1998, not only the third question was pure analytic geometry, but also two questions were combined with linear algebra to test the content of analytic geometry. It can be seen that the review method of guessing questions is not reliable, but we should refer to the examination outline and review it comprehensively without leaving any omissions.
Comprehensive review is not about memorizing all the knowledge. On the contrary, it is about grasping the essence and content of the problem and the essential connection of various methods, and minimizing the things to be memorized (try to make yourself understand what you have learned, grasp the connection of the problem more, and memorize less knowledge). Moreover, if you don't remember, you will, and if you remember, you will be reliable. Facts have proved that some memories will never be forgotten, while others can be obtained by using the relationship between them on the basis of remembering the basic knowledge. This is the significance of comprehensive review.
Second, focus on key points and strive for perfection.
In the requirements of the examination syllabus, there are three levels of requirements for the content: understanding, understanding and knowing; There are two levels of requirements for mastering methods, knowing (or knowing). Generally speaking, the content to be understood and the methods to be mastered are the focus of examination. In previous years' exams, the probability of this aspect is relatively high; The same test paper, the test questions in this area also occupy more scores. People who "guess the questions" often have to work hard in this respect. Generally speaking, you can really guess a few points. But when it comes to comprehensive questions, these questions contain secondary content in the main content. At this time, "guessing questions" will not work.
When we talk about highlighting the key points, we should not only work hard on the main content and methods, but more importantly, we should find the connection between the key content and the secondary content, so that the main content is the secondary content and the key content covers all the content. The main content is thoroughly understood, and other contents and methods will be readily solved. We should grasp the main content, don't give up the secondary content and isolate the main content, but naturally highlight the main content by analyzing the relationship between the contents and comparing them. Such as differential mean value theorem, Rolle theorem, Lagrange theorem, Cauchy theorem, Taylor formula and so on. Because Rolle theorem is a special case of Lagrange theorem, Cauchy theorem and Taylor formula are the generalization of Lagrange theorem. By comparing these relations, we naturally come to the conclusion that Lagrange's theorem is the core, and we can thoroughly understand this theorem and grasp several other theorems from the connection. In the examination syllabus, Rolle's theorem and Lagrange's theorem are both required to be understood and are the focus of the examination. We highlight Lagrange's theorem more, which can be described as Excellence.
Third, the basic training is repeated.
To learn mathematics, we should do a certain number of problems and thoroughly practice the basic skills, but we do not advocate the tactics of "problems" and advocate refinement, that is, we should repeatedly do some typical problems, solve many problems for one problem and change one problem. Training the ability of abstract thinking, proving some basic theorems, deducing basic formulas and doing some basic exercises don't require writing, just like a chess player's "blind chess", you only need to meditate with your brain to get the exact answer. This is what we mentioned in the preface, 20 minutes to complete 10 objective questions. Some questions can be answered at a glance without writing. This is called well-trained, "practice makes perfect" people with solid basic skills have many ways to solve problems and are not easily stumped. On the contrary, when doing problems, I always find difficult problems, and as a result, I will encounter similar problems I have done before when I go to the examination room. Many candidates misjudge the questions they can do, which is classified as carelessness. It is true that people are careless, but people with solid basic skills will find out immediately when they make mistakes, and rarely make "careless" mistakes.
Think a lot, not just the theorems given in books. Even if he does, you can try. If you don't read a book, will you prove that there is a connection between theorems? Relationships can be found, just like Lagrange theorem and Rolle theorem. There are many formulas in calculus. If you can't remember, just remember a few prototypes and push them all yourself. If you can't do a problem in one way, you can think of something else. Practice math more, feel when you do the problem, and you will get better grades naturally.
When I graduated from junior high school ... math was the best ... there were two points (the most important) in learning math.
1) is a gift (this is very important, but it is not up to you).
2) Do the problem ... but not just "do"
What you really want to do is to do it effectively and ensure that every problem you do can improve you. ...
The first thing is to lay the foundation, do more ... get familiar with general practices. ....
In order to reach a certain level, we must do difficult problems ... this is the only way to really improve our ability. ...
It's best to find some math books to compete ... Although there are many problems that you can't do, you must read them ... because it's normal for you not to do them. ...
Of course ~ ~ ~ studying in advance is also very important for junior high school ... it is best to finish it one year in advance. ...
I hope some of my study experience can help you. ...
First of all, we should understand the relevant examples, and then do the exercises after class; After-class exercises are arranged by educational experts, which are professional and targeted, and are good consolidation topics; Second, ask more questions. If the independent solution is unsuccessful, please ask others to do it in time: find the problem and solve it in time. Third, cultivate interest. As the saying goes, "Interest is the best teacher." With a strong interest in learning, there will be motivation; With motivation, it will turn boring proof questions into interesting challenge activities. In short, we should study hard, practice hard and give full play to our initiative; Find fun in happy middle school and school. Being able to do this will soon overcome the fear of learning proof questions.
There's a lot to say, but I think the simplest way is:
1. Analyze and summarize your current situation, such as learning attitude, methods, foundation, determination, etc.
2. Set a stage goal, and constantly improve your interest and status from easy to difficult.
3, starting from the foundation, add a certain amount of questions to consolidate it.
4. From a higher perspective, review the effectiveness of the learning in the summary stage and make the implementation plan for the next stage. Usually, you must gain something at this point and have a feeling of what you have learned in the past.
5. Try to solve problems without hands-on, and try a variety of problem-solving skills, such as forward pushing, backward pushing and decomposition. Of course, all this comes from your knowledge.
The key to learning math well is to preview what the teacher will say tomorrow and do exercises after class. If not, listen to the teacher in class tomorrow. First, master the basic knowledge, and then do more questions! ! !
I think it's easy to learn math. I am good at math from elementary school to college.
From: English is strong through science and technology.