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How to study mathematics
1, hobby. Many students say that they can't learn math well because they are not interested. Only 12.0% students say that they like math very much. As for the purpose of learning mathematics, 58.2% students chose to study because of the college entrance examination, and 20.9% students said they had never thought about it. We are worried to see that our classmates are so uninterested in mathematics. Interest is the best teacher and inexhaustible motive force. If a person hates mathematics, mathematics becomes his "enemy". And to make a person who is not interested in mathematics learn mathematics well can only be an idiotic dream.

2. Ideological orientation. In the consciousness of many girls, it is considered that girls are definitely inferior to boys in science study, which is a natural difference, so it is normal for girls to learn math badly. 3 1.0% of the students position themselves as "poor students in mathematics", 12. 1% of the students attribute their poor mathematics to intelligence differences.

3. Independent inquiry ability. Through investigation, we found that many girls have a common problem in math learning: lack of independent inquiry ability. Mathematics is an exploratory subject, and every theorem and formula comes from strict logical reasoning and practice, and then it is obtained through calculation. Many problems will never be solved unless you think deeply and do some calculations. Unlike Chinese, politics and history, you can only learn by rote. Its knowledge will not fade with time like the knowledge points of liberal arts. As long as you think deeply, explore and understand this math problem, then you will do this math problem, even this kind of problem, and you may remember it for a lifetime. And girls just lack the enthusiasm and initiative of independent inquiry. I don't want to explore deeply when I encounter problems, and I'm too lazy to think about calculations. Instead, I directly ask teachers and classmates for help and enjoy the fruits of others' labor. In the survey, only 15.9% students insist on thinking and solving problems by themselves.

These are the three "obstacles" for senior high school girls to learn mathematics. All from my subjective consciousness. To get rid of them, you can only rely on yourself. By looking up information, we found some small ways to improve the predicament. As for whether it is effective or not, it depends on personal willpower.

First, correct mentality and treat mathematics correctly. Mathematics is a very useful subject and should be applied in life, production and science and technology. It is the language of science, the foundation of all science and technology, and a tool for us to think and solve problems. Learning mathematics can also improve your ability. Generally speaking, people who learn mathematics well can learn other theories easily. In fact, theories often have the same things in common, and "quantitative relationship and spatial form", logical structure and exploratory thinking are their scaffolds or veins, so mathematics is their core. Such training and accomplishment in mathematics will help us learn other theories well, and the improvement of mathematics quality is very important for the development of personal ability. These are the real purpose of learning mathematics, for survival and life, not just for passing the college entrance examination. Interest in mathematics must be cultivated slowly in the process of learning. There will inevitably be stumbling blocks in the process of learning, and it will inevitably lead to confusion. At this time, don't be impetuous or give up easily. Mathematics is very strange. The more impatient you are, the more impatient you are. You can't eat hot tofu. On the contrary, if you calm down and think carefully, you will soon find out why. Math is very interesting. If you are still not interested in it, read interesting books about mathematics, such as math games. Maybe, before you know it, you will fall in love with math.

Second, emancipate the mind and establish self-confidence. Most girls who can't learn math well have the idea that girls' brains can't compete with boys in science. This book is a fallacy without scientific basis. Although everyone's intellectual conditions are different, most people's intellectual conditions are not much different, both men and women are the same. Therefore, as a normal person, there is no need to worry about his intelligence, but to believe that his intelligence is good. Remember, intellectual condition is one of the indispensable foundations of learning, but it is not the only one. Don't always attribute the reason for poor math to intellectual conditions. Because of this ideological tendency, girls often lack self-confidence and think they can't do it. Ideological orientation will also make girls lose self-confidence and hold their heads in front of math experts. Self-confidence, not after success, but after success, girls don't know, you have to have self-confidence to learn math well! Girls should believe in themselves, believe that they are no worse than boys, believe that they are no dumber than anyone, and believe that they can learn math well. Make progress bit by bit in the process of groping, and let yourself taste the taste of success constantly. I believe that by then, it will be difficult for you to be confident. Self-confidence is the pillar that supports your study of mathematics. Don't give up the capital that owns it.

Third, study hard and pay attention to methods. Lazy people can't learn math well and don't want to think. Girls who just want to wait and see should pay special attention. The most important thing in learning mathematics is to make clear the following three points: 1. Mathematics is practiced, not seen. You can't just read books or solve problems or look at the answers when you learn mathematics. Understandable, but it doesn't mean that you can do it yourself if you want to close the topic in a few days. Mathematics needs to be studied every day, and every class needs to be listened carefully. Otherwise, it will be difficult to master the new knowledge that the teacher said. It takes several times to master it after class. If it is not made up in time, the consequences will be more serious in a few days. If it takes a long time, the consequences will be even more unimaginable, and you may never learn any more. Therefore, it is very important to find out how formulas and theorems are derived in time after class, what are the meanings of these formulas and theorems, what fields they are used in, and what matters need attention when using them. 3. Pay attention to methods in learning mathematics. Before doing the problem, we must first find out what knowledge the problem is about and what methods can be used to solve it. After finishing, think back to how the problem was made and sort out the ideas for solving the problem. It is not difficult to learn mathematics. As long as you do the above three points well, you can learn math well.

4. Learning methods. Here are some methods and ideas for choosing and solving exercises for reference only.

First, multiple-choice questions and problem-solving methods

(1), selected exercises

Mathematical exercises are the carriers of mathematical knowledge. You can choose basic training questions and inquiry training questions according to your learning ability and knowledge content. On the one hand, by doing basic training questions, we can strengthen basic concepts, basic methods and basic mathematical knowledge; On the other hand, by doing exploratory training questions, we can cultivate our own computing ability, analytical and inductive ability and comprehensive problem-solving ability.

(2) Understand the essence of problem solving.

Solving problems should be to discover your weaknesses and test your knowledge. Solving problems should be to understand concepts and cultivate abilities, not to solve problems for the sake of solving problems. Therefore, to solve the problem, we should pay attention to sorting out the thinking of solving the problem, analyze the reasons for our own wrong solution, and find out the crux of the problem.

(3) Pay attention to problem-solving strategies.

Yanov Ka, a mathematician in the former Soviet Union, once said, "To solve a problem is to turn a problem to be solved into an already solved one". This should be your main problem-solving strategy.

(4) Pay attention to the reflection after solving the problem

After solving the problem, we should analyze and summarize the problem conditions and the process of solving the problem, examine whether the result of the problem is general, and think about the problem vertically and horizontally.

After solving the problem, we generally reflect from several aspects:

A reflect on the problem-solving process and results, and check whether the problem-solving process is standardized, whether there are any omissions, and whether the results are definitely correct.

B. reflect on the basic laws of solving problems and check whether the application of these laws is reasonable.

C reflect on different problem-solving methods and evaluate the advantages and disadvantages of many different problem-solving methods.

Two. Thinking consciousness of solving mathematical problems

Your problem-solving consciousness is that solving math problems is the guide to judge the nature of problems, and your consciousness is the starting point to influence your thinking. You may have the following experience: sometimes, you quickly understand how to solve a problem and find the trick to solve it, but sometimes you are stuck in a "dead end" and can't think of a solution to the problem. If it takes a while, you may come up with it soon. This is actually your problem-solving consciousness at work.

Here are six kinds of consciousness to solve mathematical problems for your reference.

1, the consciousness of seeking simplicity

The consciousness of seeking simplicity refers to thinking without procrastination, paying attention to the simplicity of operation and the simplification of process, and being clear at a glance.

Step 2 assess awareness

When you deal with multiple-choice questions in mathematical calculation, you should pay attention to whether calculation is estimation consciousness. Some problems need not be calculated in detail, and a judgment result can be obtained through some simple estimates. The basic methods of mathematical estimation include myopia estimation, extreme value range analysis and concrete data substitution calculation. Estimate the whole by part, the general by special estimation, and the negative estimation by examples.

3. The difficulty lies in anti-consciousness.

For some mathematical problems, when positive thinking is difficult to be effective, we should think about whether we can start from the opposite side. In fact, if the problem is difficult, the reverse consciousness is the reverse thinking consciousness, that is, when you solve a problem, if this idea doesn't work, you will think of another one, and neither will the front. The basic methods of reverse thinking are complementary set method, reduction to absurdity and reduction to absurdity.

4, careful consciousness of examination questions

Examining questions is the basis and premise of solving problems correctly and quickly. When examining the questions, we should strive to be meticulous, accurate, comprehensive and profound, write on the draft paper while analyzing, and draw sketches while thinking to help analyze.

5. Dynamic thinking consciousness

Some math problems are set according to the routine, either the thinking is unreasonable or the operation is complicated. If we can put the research problem in the sports scene and deal with it with the viewpoint of movement change (sometimes combined with extreme thinking), we will make the thinking novel and solve the problem simply, which is dynamic thinking consciousness.

6. Domain awareness

In the process of solving problems, due to poor definition and consideration, it is inevitable that there will be wrong solutions. Therefore, the question about the domain is that we must make clear the connotation of the domain and carefully analyze the content of the domain given by the topic.

The above contents are the research results of our research group, hoping to help girls.

Five, harvest experience:

Through this investigation and study, we have a certain understanding of the mathematics learning situation of high school girls that everyone has been paying attention to. In the process of investigation, we found out some reasons for the poor performance of girls in mathematics, and put forward some suggestions to them, hoping to help them learn mathematics. At the same time, I would like to express my heartfelt thanks to those who have helped us.

Chinese: Recite excellent full-mark compositions. This is not for you to copy one in the exam, but for you to improve your composition level and language sense. If you can use some writing skills and learn good words and sentences from them, your composition will be brilliant, and reading more excellent compositions will be of great help to your reading comprehension.

Math: I think anyone can learn math well, not that only smart people can learn it well. I belong to that kind of stupid and ignorant, but math is better than most science students because I am good at technology. Mathematics is a test of proficiency, not efficiency. As long as you are efficient, you can do well in the exam. You may not learn well in grade one, because there are too many things to learn in grade one, and even if the teacher teaches these knowledge points once in grade one, as long as you can do more exercises, you will be able to improve your proficiency. After seeing your body shape, you will be fine.

English: I think English should recite the words well and then recite the text. Don't think it doesn't matter that he doesn't take the exam. In fact, many scenes of the grammar level 1 exam come from the text.

Physical Chemistry: I am very good at chemistry. I think the trick is to build a knowledge network and connect all the knowledge in series. Chemistry will be very strong. I am not good at physics, so I can't tell you anything.

Shi Zheng: Shi Zheng is a liberal arts student. You are a boy and so am I. I wonder if you will choose a liberal arts student. If you have, you should listen carefully and remember some common sense, not profound knowledge, but common sense you should master, so that you won't feel very hard when you study liberal arts, and you will feel very relaxed when you take exams in science.

Other minor courses: in short, there is no need for special attention. After all, it's only a minor. When you get to the second year of high school, you will naturally try to pass the exam.

Landlord, I'm exhausted. Can you accept my answer? If you want to know how to master senior three, just go to my space and have a look!

Why are they so-called poor students? It is because poor students themselves are not bad. As long as they are willing to work hard and use proper methods, they can become excellent students. Let's talk about how to make the so-called poor students become excellent students.

Generally speaking, there are the following strategies:

1. Correct your mind.

Mentality is the most important thing. Students with unhealthy mentality and poor learning account for a considerable proportion of poor students. Students have always regarded learning as their bounden duty. In the process of learning, we should develop morally, intellectually, physically and artistically. Learning is a kind of progress, and it is also a necessity or necessity. Any mentality of avoiding learning is irresponsible to oneself, which will eventually lead to various unfavorable results for oneself. Therefore, if you want to study well, you must have a correct attitude and don't want to be lazy and take shortcuts. It has been said that diligence is the best shortcut. If you can understand this sentence, you can establish a good attitude.

2. Pay attention to thinking.

Thinking is very important. As early as more than two thousand years ago, Confucius, a great educator, said, "Learning without thinking is useless", which shows the importance of thinking. Thinking is an inevitable way for people to master past knowledge, discover new problems and master laws. In learning, we should not only think about problems, but also learn to draw inferences from others and learn to think and learn.

3. Pay attention to digestion and summarize what you have learned.

It is an important method in the learning process to put aside an ambiguous question and incorporate the new knowledge learned into the old knowledge system.

The learning effect is good or bad, but also lies in actively summing up what you have learned, sorting out your own knowledge system, and letting the summarized methods solve new problems.

4. Pay attention to preview in advance, attend class with questions, or ask for advice.

Although many people can't preview in advance, things are just because there are few. Preview in advance is to make classes easier, more purposeful and more efficient. When previewing, you don't have to look at the knowledge you have mastered. The key is to solve the problems you don't understand through the classroom.

In addition, when asking for advice from others, it is best to have ideas. When the problem is solved, you can compare why you think wrong, which is very good for learning.

5. Don't make mistakes twice.

Speaking of this view reminds me of my philosophy teacher in high school. She used to write these big characters on the blackboard with chalk when commenting on the exam results, which is not only a philosophical point of view, but also a requirement for us. Later, I made a collection of mistakes myself, concentrated my mistakes and analyzed the reasons to warn myself. Facts have proved that this method is very effective.

6. Persevere, don't give up halfway.

Persist in everything you do and study. Be sure to finish your plan on time, fully estimate your reality, and don't set goals beyond your ability. This will not only fail to complete the task, but also make people lose confidence and even have negative emotions.

7. Take notes in class, be sure to watch and focus on taking notes.

The purpose of taking notes is to leave clues for thinking and mastering knowledge. If you only pay attention to taking notes and ignore mastery, you might as well not take the exam. When taking notes, you should also check the key points. The person who can take notes is probably a good student, because he knows what is the key.

8. Pay attention to doing exercises seriously.

The problem is to review and deepen the knowledge points. Whenever you do a problem, you should pay attention to thinking and connect with the knowledge points. Doing problems is not an end, so don't engage in sea tactics, but do problems less and more accurately. The so-called essence is to do a problem and master this solution.

The best way to learn is to carry out, carry out and then carry out the learning plan! Even the best learning strategies should be realized through actions. Therefore, at the end of this article, we should remind those so-called poor students that poor learning is only temporary. If you can follow the above strategies and study actively, you will certainly become an enviable excellent student. But if you keep your bad habits as always, I'm afraid you will eventually become a poor student in life.

1, I'm talking about my business, there's no need to lie.

Please read it carefully.

3. Speak easily and easily.

I'm not showing off. One is lack of capital, and the other is lack of interest.

I really want to share my feelings with my comrades who are struggling together.

One: Today is March 6th, 65438+February 6th. It's been three months since school started, so I'll look around again today and share some thoughts with you. I am a candidate in 2008, with a score of 320. I didn't want to have a second interview until June 5438+February. After half a year, I understood that I had to go to college, because when I got to the society, I found that I didn't even have the capital to do it. Waste time opening a bar with friends every day. As a result, I get drunk every day, and my parents scold me every day, not to mention my relatives. That feeling is quite useless. It was not until June 5438+February that I realized that I was going to college.

Two: In the last monthly exam, I got 507, from 320 to 507, for three months. . Although it's only a little over 500, it's still a small achievement for me.

3: 65438+February 2, I came to Kaba, read the resolute article, read the heroic adverbial of my comrades-in-arms, and read Xie Yongshu's article, which was very inspiring. I am determined to learn from them, create miracles, pick up books and prepare for creation, and think of that brave words in my mind every day. At that time, I dreamed of a happy life after I was admitted to Peking University, but I was speechless as soon as I opened the book.

Four: As you can imagine, in 2008, I got 37 points in the math test, all of which were vague. Graduated from primary school, never studied mathematics, basic knowledge 0, not to mention English. As far as literate sects are concerned, it is similar to English. When I opened the book, I felt sick. When I am sick, I will come to the card. I made up my mind. This state lasted until February 6, 65438, and finally I decided to put aside all other thoughts, because I knew that imagination was really a waste of time. Get rid of all distractions and start learning. Originally, I signed up for a repeat class and paid the money, but I still felt that there was too little time wasted in the class, so I simply went home.

I'll know when I get back to the fucking music room. Too many temptations, computer TV bed. I was lazy for a day or two at first. But in the end, I acted happily. The prescribed music plan has been implemented until now.

Five: Share my study plan. It's stupid, but it's useful to stick to it.

Go to bed from 6 am to 9 am

9: 00-12: 00 Review of the unit of geography, history and politics in literature and comprehensive.

Dinner 12.30- 1.00

13- 18 Mathematics is also read by unit (it is too depressing to recall).

18 -20 sleep.

20-22 points English 100 words 1 chapter grammar, recite 1 part of the model essay.

22:00-2:00 pm, progress and review of literacy.

2-4 Continue math

4-5 Review English

5-6 languages

Then I went to sleep for a month, and I basically mastered it.

Then do the paper, every day except one language, the rest are two. At this time, I have already died.

Attention method:

Poor math foundation, we should read textbooks, do examples and master the foundation. After learning the basics, do after-school exercises, etc. And do a paper.

English, recite model essays every day, be sure to stick to it, and you will find that your sense of language and vocabulary can be expanded, and you should look at grammar systematically and remember it almost. Remember words anytime, anywhere.

Chinese, nothing to say, never learned, one day 10 material, a classical Chinese.

Geography: an atlas, a 5/3 college entrance examination, read a chapter and make a chapter. Atlas should be turned over more, time zone, national location, ocean current and other things should be memorized to get physical geography and geography.

History, I read five books and revised them three times. The first time I started, the second time I read the details and the third time I reviewed them.

It is better to recite and do it together with the questions of the 5 3 college entrance examination.

Politics, there's nothing to say. Personally, I think I still need to be able to speak, have clear knowledge points, and then use my imagination to see that the answer to the college entrance examination is good, and there are many technical terms in it.

After a month and a half, as long as you persist, there will be basic music, and then you will start to do the paper.

After reviewing every day, as long as you are willing to spend time, I think this time is very effective. If you don't understand math, turn over the knowledge points, look at the answer analysis, say nothing in English, and say goodbye if you don't finish reading it. Read it several times, and you will feel that your speaking speed and accuracy will gradually improve. Don't be lazy, don't turn over the books after you finish, and don't miss anything. After a month and a half, you will know that the effect is happy (as long as you insist)

Many people may ask, can we be so bad? I'm telling you, we can. Don't be lazy, don't be depressed, and bury yourself in your studies. Three months really works. Don't think about what you want to do every day, just be admitted to Peking University. As a result, you will sleep for eight hours. I advise you not to enjoy the college entrance examination, but to be funny. If you can't get up, I'll give you a good idea. Set the alarm clock three times with an interval of 10 minute. Before going to bed, put your mobile phone in the farthest place in the room, so that you have to get up when the alarm rings, so that you can at least get up and wake up. If you think you can't stand being alone, say to yourself, mine is rubbish. What can I do if I can't even stick to the most critical step in my life? In this way, he can make his subconscious mind unconvinced by miracles. The result is that you get up and study hard, and you won't think about it after you enter the learning state. .

Having said that, leave my 300 to 500 years of experience to a poor student like me. . . No other meaning, I want more people in Kabbah, poor students in Kabbah, to grasp the present as well as I do, and don't waste any time, from now on. Don't have a reason, don't go clubbing, don't fantasize every day, and don't tell yourself to start tomorrow.

I thought, we love pain. If you are a boy, imagine that pain is next, you are on it, and you completely conquer pain. If you are a girl, imagine the pain is above, you are below, and you enjoy the pain. . . Remember that the pain is temporary. If you don't suffer now, it will be a long-term thing. After three months, the pain will hurt. Do not give up. . I hope more people will stick to Kabbah instead of being confused every day and not knowing where to start. . . . . . From 300 to 500, although I am still a poor student, I think I can at least improve my music, at least close to the university, and get 200 points in at least three months. Learning is only one aspect. As long as you persist, as long as you study day and night, you will not succeed, which only shows that God will not go with your country in this life. Today is very boring. I hope you can be like me. .

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