Current location - Training Enrollment Network - Mathematics courses - learn math well
learn math well
Hello, I am a student of Tongji University. A few days ago, I answered some questions from my younger brothers and sisters who are about to take the college entrance examination and the senior high school entrance examination. I suddenly feel that I should help junior high school students as much as possible. So I have been answering similar questions in Baidu recently.

Have confidence, as long as you pay attention to the method, the result will be good. Let's take a look at the learning methods of various subjects first. This is what I summed up for countless exercises and exams during my middle school. I have shared these experiences with many people (through dialogue, email, Baidu), hoping to help you.

mathematics

Mathematics, the key is to master the problem-solving methods, find several methods with the same questions and study the solutions well. Then find some problems of the same type to practice, at least memorize the solution. Your liberal arts are generally ok, so it shouldn't be difficult to recite. Moreover, this kind of reciting is easier than reciting the comprehensive text, and the comprehensive text should be freely played. The solution to the math recitation problem is dead. For example. 1. What conditions to look for; 2. What is the conclusion from the condition of 1? 3. Mark the answers to the correct questions from the conclusion of 2. It is worth noting that mathematics is a discipline that exercises people's thinking and logic. So no matter how you deal with the exam, try to be on the basis of understanding. If you ask questions about sea tactics blindly without knowing them, it will be harmful to your development.

For example, answering questions in English, writing in Chinese and reciting comprehensive texts can all be improved through training. But if you want to make up for a subject like mathematics, you must first know what you are missing, right? To know where your shortcomings lie, you must first have a good understanding of what your high school mathematics has said in general, what knowledge points you have and what test sites you have. You must have a sense of integrity and a clear framework, so that you will know which one you know and which one you don't know, and then you will be targeted and check for gaps.

However, if you have a poor foundation in mathematics, it is too difficult to find out your own shortcomings. Therefore, at this time, family education can really come in handy (of course, if you don't have a tutor, ask the classroom teachers more, and I believe they are willing to help you).

Be sure to let the teacher know what questions you want to ask and what problems you want to solve, instead of following his ideas. Not only math, but also others if you have a tutor. According to my previous experience as a tutor, if you ask a tutor (or consult more teachers), first of all, his class form should be suitable for your acceptance. I'll give you two suggestions. You can choose one.

1. Let him tell you about the overall framework of junior high school mathematics first. For example, one main line is from set to mapping, and then to function, while the other main line is that Cartesian coordinate system uses number axis to represent function, and then these two pieces of knowledge can be connected through the combination of numbers and shapes, so we must be complete. To be honest, if you have been making up lessons at ordinary times, but you don't have a clear concept of the overall framework when you start making up lessons, then you will feel very flustered and insecure. Even if you suddenly fill in a knowledge point and understand it, you will feel very strange. You always feel that there is something you don't understand, but you can't say why, right?

Then, let him tell you with examples from the most basic textbooks. One book passed the test, and there are not too many examples. I told my sister that I could finish reading a math textbook in about six or seven hours. Next, try to do after-school exercises by yourself. Mastering one lesson at a time, although the topic is very basic, but as long as your thinking can be transformed a little, basically you can get 60% on your college entrance examination math paper. Then continue to deepen your study.

2. This is the second method. Find out a few copies of your mock exam papers (or mock exam papers for senior high school entrance examination, or mid-term exam questions over the years) and sort out one or two sets of the most comprehensive and typical exam questions. From the point of view of one question, the solution of each question is like memorizing a formula. If you really can't understand the solution to a problem (even rote memorization), then he will open the corresponding concepts and examples in the textbook at this time. Such a test center has passed a test center. This kind of teaching method has very high requirements for tutors, and it will be quite good if you have experience.

In addition, I will tell you some other study review skills that I am most sure of, hoping to give you some inspiration.

English

English is my most sure course in junior high school and senior high school. In a key high school where the master is like a forest, the first grade in English paper can always help me get the total score, so let me tell you something about English learning in high school first. As long as you really spend time, you can definitely improve quickly.

A. reading:

Insist on reading comprehension every day, and measure the time every day for a month or two to improve the speed and accuracy.

Then, I want to improve the speed of English reading comprehension within this month, so I will do two reading comprehension articles every night (or the next night on weekends), but once it is stipulated, I will resolutely implement it. At my present level, two reading comprehension should take 12 minutes, so I only give myself 20 minutes in the evening (including the time for answering questions) and stick to it for a week or two. Maybe you find that your speed has stabilized at 10 minutes, and then you find the next goal, do three articles in 12 minutes, and then stick to it for a week or two to complete this goal. Maybe you can write five articles in 15- 18 minutes. Then even if you don't practice at this time, you can basically maintain this speed.

The above is about reading speed, so now let's talk about improving accuracy. There are many problems that you can't understand when you practice. My guess is that the exercise you chose is too difficult, or your homework is too difficult for you to do for the time being. It is best to buy a reference book (or borrow it directly from the library) for step-by-step training (a set of topics from easy to difficult). First, spend a week doing elementary exercises. When finished, read the answers and explanations carefully. I feel that I have basically understood the exercises at this level, so it is ok. I will spend another two weeks doing intermediate questions ... sometimes I have to think about them during training. 1. According to my experience, the reason is that many times the options will be disguised by synonyms, sentence transformation, narrator transformation and so on. Knowing this, you may know how to find the answer to this kind of question. 2. Topics like "influence" and "foreshadowing" often appear in the last topic of an article. Summarize a few more articles and see what their correct options are. 3. There are some types of articles, such as news reports, tabular forms and menu forms. Maybe you can look at the topic directly, but pay attention to the corners.

(PS: The training method of cloze can be understood by referring to reading, but the difference of cloze is that it must test some questions about grammar, part of speech and word collocation, so sometimes it is necessary to analyze the coping strategies of different questions. )

B. listen:

Practice listening every other day for a month, preferably in a step-by-step training form (a set of questions from easy to difficult). Listen to the elementary questions for a week, listen to the original text thoroughly, think about the answers, and feel that you can basically understand them, so that's all, and then spend two weeks listening to the intermediate questions. ...

This training method is simple and effective, and you have something to do every day. The point is, 20 minutes a day is 20 minutes. Don't spend too much time, or the rest of your schedule will be out of order.

C. grammar:

Grammar questions are different. This depends on your grammar, one by one. I suggest buying a grammar book with concise and comprehensive knowledge points. Do more exercises instead of many examples. (I remember that before the college entrance examination, we all used a book, A Guide to English Grammar Practice (edited by Guo). The exercises in that book were done three times before the college entrance examination, and the next two times were almost fast. The whole book took six or seven hours. Results When doing multiple-choice training, 20 questions were often solved in two minutes, and many of them were repeated. However, this book is aimed at college entrance examination students, which may be difficult for you. You can ask the teacher to recommend similar books. )

D. composition

English composition in junior and senior high schools focuses on showing one's own level: 1. Grammar, try not to make grammatical mistakes. 2. Writing, writing as neatly as possible, on the one hand can make the teacher look comfortable, on the other hand, it also shows that your writing ideas are very smooth. 3. Flexible use of clauses, long sentences, beautiful sentences and advanced vocabulary. When I was a sophomore, I bought a book "Wang Changxi's Ten Sentences Composition Method", which talked about the skills of writing with beautiful templates in CET-4 and CET-6 (to be honest, this is a bit opportunistic, but it is more than enough for the exam). I analyzed the usual test papers and found that 60% to 70% of the topics in the composition were related to the five types of topics introduced. I sorted out several different templates of the same subject provided by him, and sorted out a template that I think is most suitable for each subject (there are many highlights in the template, showing off my superb grammar skills). Then I try to change into a suitable template every exam, and the result is that my composition will become one of the model essays in all likelihood.

Examples of tiger balm sentences

1.___ has become the focus of people's attention, and _ _ _ _ always attracts people's greatest attention.

2. _ _ _ plays an important role in all kinds of reasons for this phenomenon.

3. People don't agree on _ _ _ _. Some people take it for granted that _ _ _ _ _ _ _ _ _, while others think that _ _ _ _ _ _ _ _.

E. recite words

I have seen many people recite English words very inefficiently, such as wonderful, w- o- n- d- e- r- f- u- l, wonderful, (why do you have to pronounce them letter by letter? Letters are the most meaningless. In my opinion, I only recite it twice. The first time, look at the pronunciation behind the word, read it out, then look at the spelling of the word (write it down syllable by syllable) won- der- ful, and then look at the part of speech and Chinese notes. The second time, you must leave the book at this time, then remember the pronunciation, read it again, and spell the word syllable by syllable in your mind. If you remember it, go on to the next word. If you don't remember, look at the spelling of the textbook again (remember, only give yourself a chance to supplement), and you can remember a word two or three times at most. My experience is that if a unit has 50 words, it takes 15 minutes to recite the words.

Besides, remember to review. As for memory, review is the most important thing. You can form such a habit. For example, I want to review this week's English words after school every Saturday afternoon (I don't know if you have made up lessons, if you make up lessons on Saturday, it should be the most relaxing time for you).

In the same way, when you review other subjects. The same is true for reciting other materials, such as politics, history and geography. Read or watch them first. You got it? Then mark this passage with a pen. There are several points in this. There are four points in this. Ok, leave the books/materials and try to recite them. You recite 1.3. Ok, then read it again and recite 1, 2, 4. Last chance! In this way, ask yourself to be taller. "There is only one chance!" You will improve a lot of efficiency. ]

Adhere to good study habits.

Share with you some skills of overall review:

1. Buy an "organ bag" first, that is, a leather bag with more than ten layers or a file bag. Find out all your mock examination papers, arrange them according to the subjects and order, and put one or two layers of each subject for future reference.

2. Then make a plan. You must spend half an hour (or 45 minutes) reading one or several papers or even several topics in a certain subject every day, but this paper should be read one by one (at most, the last one is too difficult to read), and it's your turn to read and write it. One subject every day from Monday to Saturday (it is best to have classes tomorrow morning or evening for the subjects arranged tonight, so you can ask the teacher tomorrow if you don't understand today), and you can see any subject you like on Sunday, in this order every week. Hold on, hold on every day, hold on for three weeks. You must know that you have made progress. Let's go .

3. After each exam, we should carefully analyze the test paper from the aspects of question type (which knowledge point scored high or low), scoring rate, careless mistakes and lack of knowledge. Be sure to stick to the habit of reading test papers. If you feel useless after a month, let go of this habit, but as long as you adapt to this habit wholeheartedly, you will certainly gain something.

Especially next semester, you start a mock exam. This stage is very important. (In fact, many students have wasted it. After they finished the exam, they always felt very tired and suddenly relaxed and did nothing. ) Every time you just finished the exam, you will suddenly understand which knowledge points are important and what you lack. Then you can strike while the iron is hot, review these knowledge points well, and at least find the problems and omissions you have done before from the examples in the textbook.

4. Be sure to plan efficiently (don't count where you read it, have a sense of task and completeness for your own requirements). For example, you stipulate that you should read five chapters in the second volume of geography on National Day, instead of just two or even half chapters. Of course, planning must be reasonable first. But you should also know that your time is limited, and you can't make it a rule to watch a section every day. What should I do if I haven't completely reviewed the college entrance examination? You should review your textbooks, exercises and exams at least three times!

Be sure to concentrate, that is, be strict with yourself and ask yourself to remember it again! Ask yourself to keep up with the teacher's class! Ask yourself to do five reading comprehension articles in half an hour, and don't be lazy. Do an article and you won't feel tired!

6. You must have a feasible plan. When you plan, you should arrange a free time. I hope you will have time to summarize and sort it out after a while. You should stick to some good habits. During the planning period (for example, one month), you should insist on completing the task well, insist on it every day, sleep peacefully at night (because you are serious and full during the day), and go home to relax when you are tired at the weekend.

Examination skills

Examination skills are still very important. You must have heard of an excellent student who had a bad attitude or didn't play well in the senior high school entrance examination and college entrance examination more than once. You should have five or six rounds of mock exams starting next semester. You should cherish this opportunity and sum up your learning experience every time, such as different strategies in different subjects and what to watch a few hours before the exam.

For example, when I was in junior high school and high school, I had some experiences:

1. Read everything you want to see before going to bed (otherwise you will often review it at last), and then after catching up on sleep, wake up and browse it briefly to deepen your impression.

There are three kinds of materials that are most worth reading a few hours before the exam. A. Wrong questions in previous exams, discussion and calculation questions later understood, or multiple-choice questions that have not been understood;

B. Several contents marked as key points and marked with red lines in the review these days;

C. basic concepts, the edges and corners of textbooks.

3. Finish one subject and put down the next. If you do well in the exam, you will be promoted by winning. If you don't do well in the exam, you must make up for it in later subjects.

4. How to check during the exam, such as English subjects: First, hand it out first and finish it. If you don't do it, leave it blank, but make a significant mark to avoid missing answers; Then answer the whole volume and come back to think about the questions that you can't do just now, and completely supplement them; Then smear the card; Then check from beginning to end whether you want to get each question right, whether you have done it right, correct any mistakes immediately, and correct the corresponding answer sheet; Then think about whether you have chosen the topic you want for each topic (this is to prevent sometimes inattention in the exam from leading to clerical errors). That's basically ok.

(However, it depends on your previous answer speed. If the answer is slow, the coping strategies will change accordingly. In junior high school, the English test was completed in 90 minutes, basically 40 minutes. Your method must suit you. ).

I really hope that saying so much will be of substantial help to you. Come on, I look forward to your good progress in review. Come on!