I worked hard at math and did a lot of problems, but I was not very good at it. What should I do? What are the good ways to learn math well?

Earlier, I talked about the significance of learning mathematics, and my friend asked me how to learn mathematics well. In any case, mathematics is the top priority of the college entrance examination in Jiangsu Province in 2008. Yes, how can I learn math well? Starting today, I will talk about how to learn math well.

Many children, regardless of their age, have a foundation after passing the "reading" test. Good reading habits are particularly important for mathematics. Why? Because many parents, children and even teachers think that practice in mathematics makes perfect, so there are many tactics to ask questions about the sea, and they don't pay attention to "reading" mathematics. In fact, mathematics reading has its particularity, unlike Chinese articles with charm and scenes, so children don't like reading. This is about training. Yesterday, several children read the bold words in the math book in front of me. Thank you very much for your guidance.

I helped the first-grade children do the final math review strategy exchange meeting, and deeply realized the importance of reading. The teacher will ask such questions:

-14 Many children did wrong questions, so I let them see. The correct pronunciation is: 1 The fourth power of negative 1; Second, the fourth power of negative 1; 3. Which is the reciprocal of the fourth power of1? I think it should be the reciprocal of the fourth power of 1. Because there is no difference in this way of speaking. A better way to pronounce this sentence is to subtract the difference between 1 and 0.5 from the fourth power of the reciprocal of 1. What if you read it this way: the reciprocal of the fourth power of 1 MINUS the difference between 1 and 0.5, divided by 3, and multiplied by the square of 2 and the difference of minus 3? The result is very different. Children should be trained to read in this way.

It is also very beneficial to understand and master the concept of books when reading. For example: subtraction of rational numbers, many children will make mistakes, and it is still wrong after repeated revisions. Why? So, I talked with the children and listened to how they understood and applied subtraction. At first, some children can't remember, some can't remember clearly, and some children say, just do it, why do you want to remember, and so on. I wrote a formula: (-5)-(-6). First, how to read better? Second, write the steps in strict accordance with the rules. Reading method: the difference between negative 5 and negative 6, or: negative 5 MINUS negative 6. According to the law: minus 5 and minus 6 equals the reciprocal of minus 5 and minus 6. Can you ask the child what is negative? So: (-5)-(-6)=(-5)+6, and then convert it into the law of addition.

Many children have always understood the concept of books in their own way, but they may not know whether it is reasonable, which requires us to guide and train.

Learning to read mathematics correctly and comprehensively is a basic ability to learn mathematics well, no matter what grade or age. .

In the process of mathematics learning, there are also some things that need to be remembered, but many friends say that mathematics is boring, so memory is meaningless. In the teaching process, I use a lot of jingles to stimulate students' interest and help them remember. When learning "Solving Inequality Groups", students generally find it a bit difficult to find the solution set of inequality groups at first, but the language summarized in books and reference books always feels awkward. I looked up some information and combined the solution set of inequality group with the travel problem, which became: "Take the big, take the small, take the middle relative, take the back empty." This is catchy, easy to remember and easy to use. There are many formulas of trigonometric functions, especially the formulas of sum, difference, multiplication and classification, which are really difficult to remember. In high school, the teacher taught us to deduce by ourselves, so I tried to recite it several times, but when I was teaching, I thought, can students recite it in class?

sin(α+β)=sinαcosβ+cosαsinβ

coa(α+β)=cosαcosβ-sinαsinβ

For the teaching design of this formula, I think of a popular song "Crying Sand", so it becomes "Crying Silly": Crying Silly, Remembering Symbols, Similarities and Differences. Then give the students a scene: a fool is crying, crying makes him more stupid, and then crying sadly makes him more stupid. The students I teach have a deep memory of this kind of formula in different situations. Therefore, in the process of learning, it is very beneficial for everyone to make up jingles according to their own characteristics to help them remember.

In the process of mathematics learning, different people have different views on how to deal with exercises, but in any case, mathematics needs to do a certain amount of exercises, but what is a certain amount varies from person to person.

It can be said that doing too many questions is not necessarily a good thing. What we need to do is to study hard, which is what we pursue. So how to get twice the result with half the effort?

When my son was in the first grade, the school teacher arranged for his parents to do the calculation of 100 for him. My attitude is that I will never give it to them, but I must give it to them myself. As a result, my son worked it out by himself and finished it soon. I often say to my son, will you think of a problem of subtraction when you see addition, a problem of division when you see multiplication, and a problem of addition, subtraction, multiplication and division? Maybe the child won't start, but after a long time, where is the child's ability? Letting children develop variant ability from childhood will get twice the result with half the effort in the future.

Then you may ask me, how to lay a good foundation? In high school, the usual method is to read nothing every day and carefully repeat what the teacher said in class and what was in the textbook. If I can't remember clearly, after retelling, I carefully read the textbooks and materials, and then do it again. After such a long time, you will form a habit and recite the basic knowledge. The next step is to think about the examination methods, questions and solutions of each knowledge point, so that the basic knowledge can be basically mastered. I have been a teacher for more than ten years, and I have been doing educational consultation for several years. This method works time and again!

What results are needed and what actions should be taken.

I have been invited to Henan for nearly half a month. My daily job is to communicate with parents and talk with students. I feel a lot. What I want to say most is: "What kind of action should I take if I want the result."

The following is my conversation with a candidate:

"What do you think of this year's college entrance examination?"

"Go anyway."

"Are you going to the junior college?"

"No, I'll repeat it when I get to the big bank."

"In other words, you can leave with three or more books."

"yes."

"Can it be understood that you don't want to repeat it?"

"yes."

"Do you want to work hard for more than 20 days or 365 days?"

"Many days, of course."

"Yes, it's great to get 365 days of freedom with more than 20 days of hard work."

"yes."

"In other words, are you willing to work hard for more than 20 days before the college entrance examination?"

"yes."

"How did you spend these 20 days?"

"Review carefully."

"What is a serious review?"

(Silence)

"How far are you from your goal now?"

"More than 50 points."

"Which course has more room for improvement in your score? Rank the possibility of improving academic performance. Then break down 50 points into each subject. "

(Guide him to make a study plan during the conversation)

I have the following conversation after learning that his math scores are very poor. )

"Do you think there is still much room for improvement in mathematics?"

"It's impossible now. I have given up math. I'll touch it then, as much as I can. "

"Oh, really?"

"I have no feeling at all about mathematics."

"Can you remember more formulas?"

"That's all."

"Well, I'll tell you about the formulas commonly used in mathematics, and then we'll look at the college entrance examination papers over the years to understand the benefits of remembering formulas."

"yes."

(I told him the formula in the college entrance examination outline carefully, interspersed with basic training, which gave him a basic understanding and application consciousness. )

(Then, I took out a scoring standard of the college entrance examination paper and analyzed it with him. I saw his excitement and excitement in his eyes. )

"Give up math now?"

"As you say, I won't give up. As long as I understand and apply these formulas, I can improve a lot. "

"Yes, mathematics is difficult for many people, but for you, you have the basic means and methods to take the exam, and of course you can't give up.

"I don't give up. But how can I use these formulas flexibly? "

"First of all, you can try to derive these formulas; Second, write more and strengthen perceptual knowledge; Third, look at the scoring standards of the college entrance examination papers and understand which formulas are used in each question and how to use them; Fourth, when reading the exam questions, first think about what formula and how to use it, and then look at the answers every day to find the feeling. What do you say? "

He and I carefully analyzed how each question in a college entrance examination paper in 2006 was scored easily by formula. )

What kind of results are needed, then there must be some analytical actions. Since he wants to take the exam, he must see how to go, quantify and refine the goal, give him directions and methods, and let him know why. With strong action and willpower, it is possible to achieve the goal, and it is very likely.

Cultivate the habit of lifelong reading

That time I went home, after dinner, I said to my son, "Today we are going to have a reading contest." So, my wife and son and I started the competition. I have always believed that the cultivation of children's reading ability in the lower grades of primary school is the most important, which will affect children's lifelong learning.

My friend in Shandong is in Grade Three. In recent exams, he has always been unable to judge clearly, failed to see the questions completely, and his grades have dropped sharply. I told my friend to ask the children to read aloud: no missing words, no adding words and no reversing words. My friend didn't understand at first. I say you practice first, and then you will know the benefits slowly. I asked my friend about his children, and my friend said, "The progress is obvious, and I am back in the top four of my grade."

Chatting with the parents of Grade One in the evening, talking about the evaluation and ability training of Grade One children, I said: "The goal of developing children's ability in current school education is not clear. For children in the first grade, it is very important for children to have a good reading habit, rather than treating children with grades. " How to read is very important for children.

Why do some children always can't see the topic clearly when they do it in junior high school or high school, or others will do it after reading it once? Why do children copy wrong lines and words?

Look at the world with your heart

In the dead of night, each of us will think, especially when we are alone, we often think of what we have done and experienced, and we will feel a little helpless, but if we look at this wonderful world with our hearts, what will happen in front of us?

A child's father died young, drifted to a big city with his mother, and lived in an abandoned broken car. One day, a man said sympathetically to the child, "What a poor child, he doesn't even have a home." Guess what the child said? The child replied, "I have a home, but when I have a house, we can move it into the room." For this child, home is a warm harbor, not a building, an object that can make people shine at the moment.

A professor from Southeast University talked to us about his children's exams. At that time, the child was in the middle school attached to Nanjing University of Aeronautics and Astronautics. One day, the child told him that he got more than 60 points in the math test. He said to the child, "Let's go out and invite you to dinner." The child paused and asked, "Why did you invite me to dinner?" He said, "Congratulations on your knowledge and ability of 60 points." The child said, "Then why don't you ask why you only got 60 points?" He said: "It seems meaningless to ask for only 60 points. Wouldn't it be better if you could find learning methods and skills to improve your ability from the 60 points you got? " The child is happy to have dinner with him. During the meal, the child talked about the reason for losing 40 points. He also said, "The reason is to be analyzed, but not now. It's time to eat and enjoy. Analyze, improve, go home, sit down and think quietly, and write it down. This is the right thing. Now eat well and talk about other happy things. " So, their father and son enjoyed it.

I talked with my niece's children about studying yesterday. I asked them, "How can I get more scores and better grades in the exam?" The child said, "Be careful, don't be careless." I asked, "How can I be careful enough? Is there a phenomenon of misreading the topic? " The child said, "Yes". "Then how do you solve this?" "Just look at the questions carefully." "How to be careful? What kind of training do you usually do? " The child was speechless. I said to the child, "Go and get a newspaper." The child brought a newspaper, so I ordered a random one to show him. It doesn't matter if I read it. In the first paragraph, 4 words are missing, 5 words are misspelled, 3 words are added and 2 lines are skipped. I said to the child, "Do you know why there is such a mistake?" "As long as you don't miss words, add words, make mistakes, skip lines, or miss lines when reading, training like this for a long time and developing the habit of lifelong reading will not only improve your future academic performance, but also pave the way for improving your other abilities."

When we communicate with children, do we help analyze from the perspective of children and give them real help and feasible solutions? The key is to consider the child's heart with your heart, don't you think?

If you want to know and understand children, can you see the world with your child's heart first?

My son's math is sometimes good and sometimes bad. I always tell him it's okay, but my son always says I don't care about his grades. I went home the other day and brought a pack of poker. I counted 24 myself, and then asked my son to count with me. Of course, the probability of his calculation is very small. After all, I am much faster than him. However, I always count him in as soon as he explains my process clearly. I told him that this is called step by step, and when you enter the university, you will "step by step." I asked, "What are your names now?" The son said, "Off-type calculation." "Yes, yes, yes, it is an off-balance-sheet calculation." Therefore, in the process of calculating 24, we strengthen children's mathematical consciousness, multi-directional thinking training and step-by-step operation ability to train logical thinking. When my son was tired of counting to 24, he asked me what games I hadn't played. I say we take 10 cards at random and see who has the most sum and who wins. So in this process, we cultivated our son's mathematical thoughts of "simple calculation" and "rounding". Playing kitten fishing with my son, infiltrating the idea of probability; ..... Through a series of playing cards, let the son take the initiative to approach mathematics and think about mathematics.

Yesterday afternoon, I spread the blog circle of senior three parents around the world to communicate with a parent. When parents were troubled by their children's problems and kept turning around them, I asked them, "What is the child's goal?" Parents said: "It seems that there isno." "No, think about it." My parents suddenly remembered something and said, "I once wanted to be admitted to Zhejiang Communication University." "Oh, really?" "What did you say to the child?" The parents said, "This school is very good, but it is difficult in your present situation." "Then what?" We haven't spoken since. I said, "What a great opportunity we missed." Many times, I consciously stifle children's dreams in the bud. Parents asked, "What should I say?" I said, "It's very simple. Isn't it just taking the Zhejiang Communication University? Then let's find out all the materials of Zhejiang Communication University, then look at the departments we are concerned about, consider the conditions we need, and then analyze what we have and how to realize them one by one. Give children goals, achieve them step by step, and give them hope. " When I communicate with parents in this way, parents are no longer troubled by the problems of their children, but are thinking about how to stimulate their inner motivation. For the children's existing problems, we don't help him/her to improve, but help the children to establish a new life framework, give him directions and methods, and give him life orientation and goals. We don't want to change children, we can guide and influence them. When I gave a lecture in the parents' blogosphere of senior three, I said, "We should be hopeful people, and we should be hopeful people." We should give our children more hope, don't you think?

Children grow up and mature day by day, and we grow up day by day. How can we effectively cooperate with children and help them in a down-to-earth manner? Look at the children's world with your heart, okay?

What we should do is to lead children to the right path, so that they can face it bravely and respond positively. A few days ago, I taught my son to ride a bike. The so-called teaching just tells him how to get on and off. He has learned how to ride a horse. He used to sit on the cushion before riding, so I let him get on the bus when he was exercising. This is the real riding. I took my bike and said to him, "Look how I got on it." So, I put my left foot on the pedal and my right foot on the ground. When the bike skidded, my right leg stepped on the bike and rode leisurely. My son imitates me, but when the bicycle slides, his feet jump at the same time, which is very funny, but he just can't get on the bus. I said to him, "You can put your left foot on the pedal and your right foot on the ground. When the bicycle slides faster, keep your left foot still and lift your right foot, and you can try it. " So the son pedaled, lifted, pedaled and lifted, and suddenly got on the bike and rode it. I want to applaud and shout, "Yes". I could see my son's excited expression, so he continued to practice. When my son is ready to get on the bus again, you can get on the bus when I count to three, so I count to "one, two, three", and my son really succeeded. Finally, I said, "Just pedal your right foot and you can get on the bus." I am glad that my son succeeded once. So, the action of getting off the bus was only demonstrated to my son once, and his son knew it. On that day, although the weather was very hot, my son's interest in cycling remained undiminished.

Sister Liu successfully trained her son to be admitted to Peking University. She once told me that she trained her son to jump rope, which moved me very much. My son can't jump rope at all, but Sister Liu bought it. First, she runs and jumps with her son. When she can jump a long distance, she teaches her son to jump in place. In fact, it is the training of taking off in motion and taking off in silence. After a short period of practice, her son took part in a skipping competition and won the championship. Similar to this kind of training, Sister Liu did it seriously, practically and attentively, and finally gave her son the motivation for progress and endless power source in his success. This is how Sister Liu tempered a Peking University student.

I tutor students to participate in the National Mathematical Olympiad. The students asked questions about the Olympic Games, and I didn't even look at the questions. Let the students read, and I will listen with my eyes closed. Then the students break down the conditions in the question to me. I will ask, "When you solve the problem, did you use all the conditions in the problem?" If not, I'll let him try to make use of all the conditions. If he did, I would ask, "Do you have any inferences about each condition? What is the valid inference? " Finally, I asked the student to give me his own solution process, and I watched his solution process. When I don't know anything, let the students tell me. When I find something unreasonable and wrong, I will ask him to correct it himself. Many people also say that I am a misguided child. Is this really misleading? Different people have different opinions.

As parents and teachers, how can we really help children grow up in their studies? My parents often say to me, "I can't help my children either, if the first or second grade is ok." I said, "Not even in the first or second grade. What you said is just to help children solve problems, not to help them build a learning framework. You use the adult's mind instead of the child's. Why was mathematics called arithmetic when we were young? This makes sense. " "How can I do without psychological counseling? What if the child really can't? " "If really not, you also have a way to let the children read the question to you. Maybe the children will watch it a few times. " "What if it doesn't work?" "If not, let him write part of the meeting to you, let him speak. As long as you can understand what he wrote and he can explain what he wrote, then his ability will come up. " "What if it doesn't work?" "Then ask your classmates and teachers!" I object to parents giving their children too much advice. I once calculated an account with my son. "His parents tutored him and got a score of 100. Average score 100/3, about 30 points. Even if you score 60 points, you are taller than him. " My son said I was bragging, but his face showed a smile.

Seeing the world with your heart means doing things from every angle and level with a "careful heart".

Yesterday, a child came here for consultation, saw the training of "dealer" in my information and asked me what "dealer" was. In fact, we are no strangers to the words "IQ" and "EQ", and now we have new terms such as "Qian Shang" and "financial quotient". For each of us, it is of great practical significance and value to understand and develop players. The so-called "player" is the ability and accomplishment to actively participate in "playing" and gain something through "playing".

Everyone likes to play, and children love to play more and need to play more, but it is too utilitarian to deprive children of the right to play. Do you remember when we played when we were children? How long has it been since we played like this? We often lament that children nowadays can't play? Is it true that they can't play, or we didn't give them a chance?

As far as I can remember, in the distant summer, our whole village was in a spacious place, and every family had a small dining table. Basically, all the families in the village eat and play with their meals at sunset or when the treetops are hanging on the moon. The children will string together with the owner of the bowl to their homes in the west, and parents will call their children back to their tables with their nicknames. But when the children return to the table, there are already many dishes in the bowl, but if a child comes to us. After dinner, the children are either playing hide-and-seek or throwing handkerchiefs, or throwing wallets or catching chickens at eagles, or looking for dragons' tails or catching sandbags at the dragon's head, or listening to the Journey to the West in a circle or creating their own sketches in groups (there was no word for sketches at that time, just saying that they would play stories together), or listening to or singing Huai Opera (a play in our hometown). Even their laughter is cool and their voices are crisp. ...

As far as I can remember, the teacher in one of our offices devoted himself to playing Rubik's Cube, laughing at throwing darts, shooting at the goal with a chair and debating crossword puzzles during recess. ...

In my memory, a group of dozens of adults went to Laoshan, Nanjing to tug-of-war, jump rope, fly back, cross the "grass", split blocks with one hand and sing in groups. ...

In my memory, in order to stimulate the learning motivation of the children in the village, I organized them to play fun games and solve riddles on the lanterns. ...

Do you know the "kill" game? Have you ever climbed a rock? Have you ever played bungee jumping? ……

It is reported in the news that white-collar workers often buy some small toys and props for small games and take them to the office to play during breaks.

It is reported that a store opened in Shanghai, all of which are personalized toys, and the business is very good. ...

Look after the children with your heart. Does the child need to play? Can children play?

Suppose it is 24, draw 4 cards and add, subtract, multiply, divide and bracket at will, and the result is 24; If it is divided into positive and negative numbers according to the color of the card (for example, red is positive and black is negative); What if you were given a pile of cards and divided into four groups, and the calculation result of each level was required to be 24? Many people say they can play 24. Huh, how much money you got there?

Can you speak solitaire? I often ask my children, "Will it …". But what kind of cards? The first word of the last word is the last word of the previous word, and so on. What if the first word of the last word is the last word of the previous word and the last word until the last word is the first word of the first word? Have you ever played? What if we change it to the English word solitaire? How about the English phrase solitaire?

A poor young man wandered to Paris, hoping that his father's friends could help him find a job to make a living. "Are you proficient in mathematics?" Father's friend asked him. The youth shook his head. "What about history and geography?" The youth still shook his head. "What about the law?" The young man bowed his head in embarrassment. Father's friends asked questions one after another, and the young man could only shake his head and tell each other that he couldn't find any advantage in life. "Then write down your address first." The young man wrote down the address and turned to leave, but was stopped by his father's friend: "Your handwriting is beautiful. This is your advantage. You shouldn't just be satisfied with finding a job to make a living. " A few years later, young people really wrote world-famous classics. He is/kloc-Dumas, a famous French writer in the 0/8th century. Do you have anything to say after reading this story?

No sense of purpose at all! "This kind of language is like a sword inserted in a child's heart. The child will not only not accept it, but also resent and resist it. Some parents will ask, "What should we say? "How about watching a dialogue like this?" Do you know the way to school? "I don't know how to get there." "How about walking?" "Where is the school? "The child looks disdainful." What are you talking about? ""Oh, nothing. I know we left like this because the school is there. In other words, we didn't start at home, so we know our goal, right? "That's it. Let's not talk about it any more. Children are also smart children. What do you think will happen if you communicate with children in this way?

Playing is a child's nature. Don't children have time to do their homework after playing? Does playing have an impact on children's future? Are we irresponsible to children when they are playing?

If you want to play, it depends on how you play. If you regard "playing" as "playing", what is there to play?

By playing business training, children can learn more about and get in touch with the world around them; Cultivate children's ability to get along with others actively in the training of "playing business"; Through "playing business" training, let children learn to pay attention to others in an appropriate way; Cultivate children's concentration and intentional attention ability in playing business training, and lay a solid foundation for subject learning; Through "playing quotient" training, the development of bilateral cerebral hemispheres-left hemisphere and right hemisphere can be promoted; In the training of "playing business", develop children's curiosity, exercise children's problem-solving ability and cultivate children's autonomy.

Last summer, a child got good grades, but the communication between children and parents became a big problem. When my children's parents found me, I organized an activity like this: (1) Invite different families, college students and graduate students to participate in this activity; (2) find two paragraphs from the newspaper; (3) Let a graduate student organize everyone to perform a paragraph, and the graduate student is responsible for the coordination, script writing and props. (3) Let the children imitate the appearance of graduate students and organize the staff to perform for another period. Who do you think children will look for actors first? Of course, it is his parents, so he takes the initiative to communicate with his parents, and the protagonist will never bear it for his parents. The reason is that parents are easy to talk to. Which parents will not give their children face in this situation and will try their best to cooperate. Will you have more communication with your children when you get home? They will be immersed in the joy of success, and their feelings are commendable! What abilities do you think children have improved in this activity? Family harmony, language communication, resource allocation, performance, imagination and oral composition can all be cultivated. What if children often come to such activities?

By playing business training, children's comprehensive ability has been improved. Do you think his study efficiency will be high? Will you stay up late?

Mr. Yang Zhenlin said, "If I am allowed to chop wood, I will spend 70% of my time sharpening the knife." For my group, how do you think this should be flexibly applied to the education and guidance of children?

A story: In a unique equestrian competition, in order to make the competition innovative, the rules were redefined: see which horse runs slowest, so the contestants sat on the watched horse and did not take a step, and the audience began to be silent. Everyone held their breath and enjoyed the game with rapt attention. For a long time, the players stood still and the crowd began to stir. The words "boring" and "terrible" kept coming from the crowd and then turned into a collective protest. Someone offered to refund the ticket. On this occasion, as long as one person puts forward such a slogan, many people will sign up. Seeing that the scene was out of control, a referee stood up and said to the audience, "Give me a chance and I promise to let everyone see the most wonderful equestrian competition in my own history." "Brag, how is it possible? This is slower than any horse. They are not fools, and no one will leave the starting point first. " There are countless respondents and countless boos. The referee walked to the starting point with a smile, called each player together, gave a few instructions, and then the players got back on the horse. As soon as the starting gun rang, I saw the players running forward like crazy. The surging crowd froze for a long time without a sound. They were stunned by what they saw. It was a long time before applause broke out in the crowd, followed by thunderous applause. "It's wonderful, it's really wonderful." People could hardly restrain themselves, cheered and became active. After the game, the reporter interviewed the coach, "What did you say to the players to make today's game so wonderful?" The referee smiled gently. "Nothing, I asked them to exchange horses with each other, that's all." When our eyes are fixed on our hearts, will there be more blind spots to consider? What if we let our hearts fly to see the world? Looking to the future?