Introduction: This article is mainly aimed at students in Grade One, Grade Two and Grade Three. I hope the students will read carefully.

1. Pay attention to the textbook.

Many students may scoff at this subtitle, thinking that learning high school mathematics doesn't need to read textbooks at all, and even some students will learn a new textbook after learning. What I want to express to you here is that although mathematics textbooks are not so important compared with other disciplines, they cannot be ignored. Because the basic theorems and properties in the textbook are the basis for you to do the questions, the examples in the textbook are often the direct source or inspiration of many questions.

For example, in 2065438, the question 1 18 in Shaanxi Science Volume was a simple sentence: "Describe and prove the cosine theorem" (when this question came out, all the friends in Shaanxi College Entrance Examination were shocked), and in 20 13, the third question in Anhui Science Volume examined the axiom of Plane Three (remember that you can directly kill yourself, but don't remember that you can only kill yourself). Question 8 of the National Outline Volume 20 13 examines the generalization of the conclusion of a conic example in the textbook (if you remember, it is also a spike question) and so on ... There are too many such examples.

In fact, this is not a coincidence or an accident, but a necessity determined by the characteristics of college entrance examination proposers. At present, the writers and proposers of the college entrance examination are not a group of people, and the propositional groups in various provinces are often led by university teachers. They usually don't pay attention to the questions in reference books or simulation papers on the market, so the best and most direct proposition reference for them is the textbook, which is why you can find prototypes in many college entrance examination questions.

To sum up, I hope all students can attach importance to textbooks. When I say that I value textbooks, I don't mean that you should recite them like learning Chinese. This is obviously useless for math learning. What I want to emphasize is that whether the teacher speaks or not, it is necessary for you to deduce the basic theorems, formulas and examples in the textbook yourself. On the one hand, it can strengthen your memory of these contents and help you exercise your algebraic operation ability.

There are all kinds of reference books on the market now, and every high school student has at least one. If you hold these reference books in your hand, you will find that each knowledge module lists many small conclusions, and then you will feel that the exam is simply a bunker. But what I want to say is that if you simply hold it and remember it by memory, you will forget it in a few days, so Pit God suggests you deduce it yourself. Some students may say that the teacher is wasting time, and some students may even say that it is a waste of time. What's wrong with this idea? For example, it is like practicing martial arts. The conclusion of deducing these basic formulas can be compared to cultivating one's own internal strength. To accumulate experience and skills in doing exercises is to increase one's martial arts moves. I don't need to say which is more important and which is more priority.

2. Do more questions and summarize more &; He who has a calculator wins the world.

On the premise of achieving the first item, if you want to improve mathematics, you must stick to calculation and summation, walk together and complement each other.

High school mathematics can be said to be both difficult and simple. The difficulty lies in the fact that the intensity and difficulty of mathematics learning in senior high school are greatly improved compared with those in junior high school. It is very simple, because the college entrance examination itself is a standardized examination. Since it is standardized, there are rules to be found. So where does this test rule come from? On the one hand, I usually listen to the teacher and take notes (what the teacher says is definitely the focus and difficulty of the exam, so we should grasp the key points), on the other hand, I usually work harder, do more questions and summarize more. If we want to judge which is more important, I personally think the latter should account for a higher proportion. Some students in this place will vomit and say that they are just brushing the questions. The questions must be brushed. It is basically impossible to get high marks in high school mathematics and don't want to do many problems. However, in the process of brushing questions, we must summarize more, summarize the wrong questions, summarize the knowledge points that are often forgotten, and summarize some small conclusions that are used most frequently. If you persist for three years, you will find that you have done so many topics and reference books. In the third year of senior high school, you will have a special reference book, that is, your own summary notes or wrong title book, which records the details of your high school mathematics learning process. Maybe it will know your position in the whole high school mathematics knowledge framework better than you. There is another advantage. Before the college entrance examination 1 month, reading your own notebook is obviously the most efficient way to review.

So how to operate this wrong book? The suggestion for everyone is to prepare two books, one is to write the topic and the other is to write the standard answer to this question. You can write the title like this. Write the title in the first half, the answer to the first mistake you made in the second half, and then leave 2 to 3 pages blank for this question. You can do this question again every once in a while (say once a week), write it in the blank space at the back, check it against the standard answer, and then write it again every once in a while. I believe that through these two or three repetitions, you will not make mistakes on this issue in the future, and you will soon find similar mistakes.

It is worth mentioning that parents can do a lot in this link, which can help children copy these questions and standard answers, or cut and paste them, and at the same time supervise their children to review the wrong books from time to time. This is a protracted war, and you can succeed if you persist.

In senior high school, mathematics knowledge is inclined to algebra in an all-round way, so with this inclination, you will find that if your computing ability is urgent, it will be really difficult, slow and wrong, and low scores will lead to your loss of confidence in learning mathematics. So in the high school mathematics learning stage, you will find out who can calculate quickly and accurately, and often his score will always be high.

Strong computing ability can brush more questions. For example, if someone else does 1 hour 10, you can do 15. Strong computing power can make you run smoothly when you are asked to do the simple questions in front of the exam, leaving enough time for the difficult problems in the back to attack. I call it "calculator wins the world". But this place I have to tell you with regret that the computing teacher can't help you, and you can teach what you don't know. If you have questions, the teacher can discuss ideas with you. But the premise is that you tell me that your computing ability is not good, and the teacher can only provide you with some practice methods, which you need to implement yourself, but these methods can't solve your problems immediately and quickly. It takes you long-term persistence and enough time to see the effect.

Here is a brief introduction to the practice method of pit god in preparing for war: take a simulated test paper as an example. The standard time for the exam is 2 hours. I'll try to do it in two hours first, and then I'll see how it's done. If the situation is good, I will gradually compress the time with a gradient of 10 minutes. In this process, every time you enter a new time gradient, such as from 2 hours to 1 hour and 50 minutes, you need to give yourself some time to adapt to this answering speed. Don't act in a hurry. If you think it's ok, go to the next time period-1hour 40 minutes. Be sure to stabilize yourself in the previous period. As a result of this operation, I can finish a set of college entrance examination simulation questions in about 25 minutes 1 hour (of course, if I can't do the last question, there is nothing I can do. For example, I spent 1 hour 10 minutes on the question in front of the Jiangxi exam in 2008. I got to the last question of the last question, gave up after half an hour, and then went back to check). Moreover, my point of view has always been that getting a high score in the college entrance examination depends largely on whether you do well in the last question, but whether you have lost points in the previous basic intermediate questions. My math for the college entrance examination is 14 1 (9 points for the last question). So everyone can consciously compress their time to exercise their computing ability, and don't be sloppy at ordinary times.

3. Keep the good habit of studying and doing problems.

What I want to emphasize here is that everyone's habit of learning to do problems will affect the exam through conditioned reflex. Let's talk about an experiment that everyone may know. This experiment should be talked about when biology talks about conditioned reflex. It is to establish a conditioned reflex between ringing the bell and feeding the dog, that is, the dog will think of eating when he hears the bell ringing. Learning mathematics by analogy, if everyone's usual learning state is to keep their mobile phones by their side, brush their mobile phones when doing homework, or eat or think about other problems, they are not focused enough when doing homework anyway. Can you imagine that you will be in a good state when you take the exam? It's like you set up this conditioned reflex with your brain. When you see a math problem, stimulate your visual nerve and then transmit it to your brain, and your brain will respond accordingly. Using the memory of your brain to search your physical and mental state when you usually do math problems will also show your inattention.

The habit of doing problems also needs to be polished slowly. In high school, you should remember not to be arrogant, especially if you are dissatisfied with a vague idea in your mind, and then you don't want to let go to solve it. In fact, many times you will find that once you really calculate the problems you think you will, you will make mistakes. If you are sure that you have ideas in your mind, write the correct answers and processes quickly and accurately, and intentionally improve your quality and speed in each calculation. Maybe it took you five minutes, and this time it took four minutes, which is also a great progress.

What I want to talk about here is the habit of making big questions. I suggest you practice your fast and complete writing steps when you do your homework. Just like the above conditioned reflex, if you don't write all the steps at ordinary times, how can you ensure that you won't miss writing steps or details during the exam? Maybe what the teacher will tell you is, don't be nervous about the exam, just practice at ordinary times. Personally, I think what needs to be added here is that if you don't cultivate your habits from your usual practice, you will kneel directly during the exam.

Some of the above methods are not only applicable to mathematics, but also to other disciplines. I hope they can help my friends.

My humble opinion, welcome to communicate with you.

Comprehensive:

After entering high school, my study has reached a new level. New textbooks and new teaching requirements are difficult problems for students. Some students have good grades in junior high school and good academic performance, but after high school, they are very uncomfortable, unable to understand, unable to learn, and even fail in grades, with red lights hanging high.

Why? It is because I didn't study according to the characteristics of high school.

First, the characteristics of high school learning

1, characteristics of high school textbooks

(1) Increase knowledge

Subject categories, high school and junior high school are similar, but the knowledge of high school is greater than that of junior high school. For example, there are about 60 physical mechanics knowledge points in junior high school and 90 mechanical knowledge points in senior high school.

(2) theoretical improvement

This is the most important feature. Some junior high school textbooks only require preliminary understanding and qualitative research, while senior high school textbooks require in-depth understanding and quantitative research, which greatly strengthens the abstraction and generality of textbooks. For example, junior high school algebra focuses on solving equations and operations, while senior high school algebra is an abstract set and mapping from the beginning. Politics in junior high school is about law, which is related to facts. High school requires learning philosophical things such as economics and Marx's theory, which is relatively abstract.

(3) system enhancement

Because of the theoretical enhancement, high school textbooks often take some basic theories as the key link and link basic concepts, basic principles and basic methods according to certain logic. Form a complete knowledge system. The correlation of knowledge before and after is one of its manifestations. In addition, the formation of knowledge structure is another manifestation, so the knowledge structure of high school textbooks is obviously upgraded.

(4) overall promotion

Interdisciplinary knowledge permeates and uses each other, which deepens the learning difficulty. For example, analyzing and calculating physical problems requires knowledge and skills such as mathematical functions and solving equations.

(5) the ability requirements are improved.

Reading ability, writing ability, calculating ability and experimental ability all need to be further improved and cultivated.

2. High school students' intellectual development requirements

It is generally believed that intelligence includes observation, memory, thinking ability and imagination, which requires senior high school students to develop intelligence accordingly.

(1) When observing things, we should be more purposeful, comprehensive and profound, and be able to distinguish between major and minor, inevitable and accidental phenomena; Not only static observation, but also dynamic observation; Not only qualitative research, but also quantitative analysis.

(2) Require memory to be based on logical recitation, and strive to grasp the internal relations of teaching materials on the basis of understanding and carry out memory.

(3) Use concepts, judgments and reasoning for logical thinking. At the same time, we should think independently and study problems.

(4) Imagination should be greatly developed. To concretize and visualize abstract problems, for example, from plane geometry to high school solid geometry, it is necessary to develop spatial imagination.

Second, high school learning methods

Einstein has a formula for success: a = x+y+z. A stands for success, X stands for hard work, Y stands for correct method, and Z stands for less nonsense. This formula points out three elements of career success. For learning, success also has three elements: learning success = psychological quality, learning methods and intelligent quality.

1, improve the psychological quality of learning

(1) learning motivation. Learning needs motivation. It is very important that students' learning motivation is generated by their personal needs. Some people have a strong thirst for knowledge and a strong interest in learning, which is exactly the case, such as further education, employment, interests, hobbies, honor, status, thirst for knowledge, career and future. Efforts should be made to strengthen the motivation of learning, such as setting up lofty ideals; Participate in various competitions, challenge the strong and stimulate the desire to learn; Encourage yourself when you see your academic achievements, so as to enhance your self-confidence, suffer setbacks and have the spirit of being unwilling to fail and humiliate.

(2) interest in learning. Strong interest in learning is closely related to efficiency, which can stimulate interest in learning from curiosity and thirst for knowledge. Such as physical experiments and chemical changes. It is easy to arouse people's curiosity and thirst for knowledge; Cultivate interest in all subjects. It is often after hard study that we discover the mystery and use of knowledge and improve our academic performance, so we must enter the "sea of books"; When applying knowledge to practice, stimulating interest and solving problems with what you have learned, that sense of success can easily stimulate interest in learning.

(3) Learning emotion, will and attitude. Linking positive emotions with learning to prevent the breeding of negative emotions can promote learning. Being good at controlling yourself is the key to learning willpower. It is particularly important to control and restrain your own behavior, control unnecessary thoughts and emotions, and concentrate on your studies.

2. Master scientific learning methods.

(1) preview

After reading the whole content of the textbook, read it carefully, give full play to your self-study ability, sort out what you already know and what you have doubts or don't understand (that is, find the key points and difficulties), mark it and write it down separately.

This not only improves the ability of self-study, but also paves the way for attending classes, forming a psychological set that expects teachers to analyze; This set of psychological needs will definitely stimulate our enthusiasm for learning and highly concentrated attention.

(2) Attend lectures

Listening to class is the best shortcut to acquire knowledge, and the teacher teaches the truth that has been verified by history; It is the essence of teachers' long-term study and teaching practice. Because it is particularly important to improve classroom efficiency, how to improve classroom efficiency? A, prepare well before class. Mental preparation is very important. Keeping energetic and clear-headed in class is the premise of learning knowledge well.

B, concentrate. When you are distracted, you are distracted. Everything depends on reason to force yourself to concentrate on listening, and to eliminate interference by will. C, careful observation, positive thinking. Don't be a passive receiver of information, fully mobilize your enthusiasm, follow the teacher's teaching ideas, and actively think about the teacher's explanation. Conclusion It is better to learn from students' own observation, analysis and reasoning than to listen to ready-made conclusions first.

D, fully understand and master the method.

E, grasp the key points of the teacher's lecture. Some students often ignore the beginning and end of the teacher's lecture, which is wrong. The beginning is often a few sentences, but it is the outline of the whole lecture. As long as you grasp this outline and go to class, the following content will be clear. There are not many words at the end, but it is quite right.

Abstraction of course points and review skills. At the same time, pay attention to the parts repeatedly emphasized by the teacher.

F, do a good job in class notes. Memorizing by taking notes is one of the best ways to strengthen memory. Notes, an eternal record, can overcome the limitations of brain memory. As the saying goes, a good memory is not as good as a bad writing, so in order to fully understand and digest, you must take notes. At the same time, taking notes and fully mobilizing the organs such as ears, eyes, hands and heart to work together are helpful for learning.

G, pay attention to the communication with the teacher, eye contact, question communication, can promote learning.

(3) The method of homework is to improve thinking ability, review and master knowledge, and improve the speed of solving problems. By examining questions, analyzing problems and solving problems, we can consolidate and test ourselves. Of course, when analyzing problems, there are several ideas, such as forward deduction, reverse deduction, two-way deduction, auxiliary deduction and so on. In addition, homework must not be copied, which is meaningless. If you don't understand, you must understand it in time.

(4) Review method: German educator Stilwell said: "We must always go back to what we have learned to review." ...

It is much better to remember what you have learned firmly than to learn something new and forget it soon. Therefore, it is often impossible to cram for the exam. Review lies in peacetime, how to review?

A, after-school memory, that is, on the basis of listening to lectures, recall what you have learned.

B. intensive reading of textbooks. The more thoroughly you understand the textbook, the more firmly you master it, and the efficiency will naturally improve.

C. organize your notes.

D, read reference books. This is a good way to supplement extracurricular knowledge.

E, fill in the blanks and master the knowledge structure systematically.

F, periodic review. Review A, review B, review A after review B, and then move on ... This kind of cyclic review is good for memory.

Generally speaking, the scientific learning method can be summarized by the following ballad: preview before class and listen to the class easily. Review the old and learn the new, and the ambiguity can be seen. Learn new content by yourself and focus on learning. Make a list of questions and have a goal in class. Pay attention to the class and try to eliminate interference. Take simple notes and think more. After class, you must review and recall the first rule. Read, digest and chew carefully. Pay attention to doing your homework, don't copy it. Weaving knowledge network is concise and clear.

3. Develop intelligence and improve ability.

(1) Cultivate observation. Observation is an important link in mastering knowledge and learning well, and it is also a necessary condition for success. Smart, that is, hearing is good, eyesight is good, observation ability is strong, scientific observation methods are mastered, a, the purpose is clear, the plan is careful, and various observation methods are flexibly used, such as repeated observation, comparative observation, regular observation, combined with thinking observation, etc.

(2) improve memory ability. The root of all wisdom lies in memory. The principle of memory changes with time, and the speed of forgetting is very fast within a few days after learning. But after a week, the speed of forgetting slowed down. Therefore, the key to memory is to consolidate review in the most easily forgotten days. Choose the best period of memory, because everyone's situation is different, and you can't draw an absolute conclusion. But mastering time arrangement is the eternal truth to improve memory ability. In order to fight against forgetting, the correct arrangement of review time is to choose the best study period.

First, review in time. Bring back the materials that have been memorized for consolidation. Its physiological basis is to strengthen temporary nerve connection and further consolidate traces. Because forgetting is fast first and then slow, so review must be timely, before forgetting has started on a large scale.

B, reasonably arrange the time and quantity of review. Experiments show that learning the same content for a relatively concentrated period of time has a good memory effect. But it should also be dispersed appropriately, because the review time is too concentrated and easily disturbed; Too scattered and easy to forget.

C, alternately allocating time to study can also improve memory. Scientific experiments have proved that it is fast to stimulate brain nerve cells with electric pulses of equal frequency, but once the stimulation time is too long, the response of nerve cells disappears. After a period of rest, the reaction recovered. The same is true of human memory. Madame Curie, a French scientist, once said, "I read several books at the same time, because studying only one thing will make my precious mind tired." Therefore, we must "alternate distribution" to remember.

D, it is also effective to use various memory methods. Such as characteristic memory; Song must remember; Image memory; Comparative memory; Associative memory and so on.

(3) Develop thinking ability.

A, learn basic knowledge and practice basic skills;

B, improve language expression ability;

C, master the basic thinking methods;

D, improve their thinking quality (continuous learning);

E, develop good thinking habits.

(4) Develop imagination.

A, learn rich knowledge and experience;

B, learn poetry and painting;

C, develop ideas and research hypotheses;

D, learn how to stand and use space imagination;

E, participate in creative activities.

(5) Cultivate self-study ability and acquire knowledge by yourself with your own mind.

At the same time, creativity should be brought into play in the cultivation of learning methods. This is the requirement of the times and the future. Developing creative thinking and encouraging diversity and individuality are conducive to the development of innovation, technology and learning.

In short, optimizing psychological quality is the confidence and courage to overcome difficulties in high school study; Mastering scientific learning methods means operating correct strategy and technology; Improving intelligence means improving weapons for tackling key problems, and both are indispensable.

If we compare our study to sailing, diligence is the engine of the ship; The correct learning method is the steering wheel and course of the ship. Let's sail on this ship of hope and swim in the ocean of knowledge. Let the boat take us to a better place!

This is all I have here. I tried my best.