I talked about the significance of learning math earlier, and my friend asked me for advice on how to learn math. In any case, Jiangsu Province in 2008, the college entrance examination, math is a heavy head ah. Yes, how can I learn math well? Starting today, I will talk about how to learn math.
A lot of children, no matter what age, if the first past the "read" this pass, that want to learn math on a good foundation. Good reading habits are especially important in math, why? Because, a lot of parents and children and even teachers think, math as long as practice makes perfect, so the sea of questions on the tactics, do not pay attention to "read" math. In fact, not, math reading has his particularity, not like the language of the article read with charm, scene, etc., so, children do not like to read. This is to train, yesterday a few children in front of me to read the math book on the boldface, I am very grateful for such a teacher to make such a guide.
I was helping my first year kids with their final math review strategy session and realized the importance of reading. Teachers will come up with such questions:
-14 a lot of children on the wrong questions, I let the children read, the right way to read: one, negative 1 to the fourth power; two, negative 1 to the fourth power; three, 1 to the fourth power of the opposite number, which will be better? I think it should be the opposite of the 4th power of 1. Because there is no ambiguity in this way of talking. A better way to read this sentence is: the opposite of 1 to the fourth power, minus the difference between 1 and 0.5. If you read it this way: the opposite of 1 to the fourth power minus 1 and 0.5, divided by 3, and then multiplied by 2 and the difference between the squares of minus 3, then what kind of equation is it? The result is very different. Reading like this is something that kids are going to have to train very well.
It is also good to read with conceptual understanding and mastery of the book. For example: the subtraction of rational numbers, many children do wrong, repeated revisions, or wrong, why? So, I communicate with the children, listen to how they understand and use the law of subtraction, at first, some of the children can not remember, some remember not too clear, and some children say, will do on the line, why remember ah, and so on. I wrote a formula: (-5) - (-6), first, how to read will be better? Second, strictly according to the law to write the steps. Read: the difference between minus 5 and minus 6, or: minus 5 minus minus 6. According to the law: minus 5 minus minus 6 is equal to minus 5 plus the opposite of minus 6, you can ask the child the opposite of minus how much? So: (-5) - (-6) = (-5) + 6, and then transformed into the law of addition to do.
So many children have been understanding the concepts of the book in their own way, but whether the understanding is reasonable or not, they may not know, it is up to us to guide and train.
Learning to read math correctly and comprehensively is a fundamental ability for learning math, and it is the same no matter what grade or age you reach.
During the learning process of math, there are some that need to be memorized, but many of my friends say that math is boring, so it is not much fun to memorize. I have used a lot of jokes in the teaching process to stimulate students' interest and help them memorize. Learning "to solve the inequality group", the beginning of the students generally take the solution set of the inequality group always feel a little difficult, but the book as well as the reference book on the summary of the language there is always a feeling of awkwardness, I looked up some information, will be the solution set of the group of inequalities and the travel problem together into: "with the big take big, with the small take small, relative take medium, back to back take empty, relative take medium, back to back take empty, relative take empty. Relative to take the center, back to take the empty." This is catchy and easy to remember. Trigonometric functions in a lot of formulas, especially and, difference, times, points and other formulas of literacy is really a little difficult, I went to high school, the teacher taught us the method is their own derivation, so I pushed a few times do remember, but when I teach, I think, can not be in the classroom to make the students remember it?
sin(α+β)=sinαcosβ+cosαsinβ
coa(α+β)=cosαcosβ-sinαsinβ
For this group of formulas for the teaching design, I remembered a popular song "Crying Sand", and then became "Crying Fool! ": silly cry silly, cry silly, symbol literacy, is the same as the rest of the different. Then give the students a scene: a fool is crying, crying is even more stupid, and then sad cry ah cry, is stupid even more stupid. The students I teach, not unusually, have a strong memory for these kinds of formulas. So, in the process of learning, each person can according to their own characteristics, appropriate compilation of jingles to help literacy is very beneficial.
Mathematics learning process, how to face the problem of exercises is benevolent, wise and wise, but in any case, math is to do a certain amount of exercises, but what is called a certain amount of that is different from person to person.
One thing that can be said is that too many questions may not be good. To do is useful work, the so-called half the effort, which is what we seek.
What is the best way to get more out of your work with less effort?
When my son was in first grade, the school teacher arranged for parents to come up with 100 calculation questions for him to do, and my attitude was resolutely not to come up with, to come up with their own, the result was that my son came up with his own, and very quickly finished. I often say to my son, see addition, will you think of a subtraction question, see multiplication will not think of a division question, can you think of an addition, subtraction, multiplication, and division of all the questions, maybe the child will not start, but over time, the child's ability to where? Let the child from the hour to establish the development of variant ability, later is going to do twice as much with half the effort.
Then you may ask me, how can I build a good foundation? I went to high school, often the method is: every day do not look at any information, the teacher's class, the textbook carefully review the content, such as can not remember, and so after the review, and then seriously look at the textbook and information, and then come back again, so that the long-term formation of habits, will be the basics memorized, the next step is to think about each point of knowledge of the examination method and the question type as well as the strategy, so that the basic knowledge of basic knowledge can be controlled. The next step is to think about the methods and types of questions and solution strategies for each knowledge point. I've been a teacher for more than ten years, and I've been doing educational counseling for several years, and this method has been tried and true!
What to do, what to do
Invited to Henan has been nearly half a month, the daily work is to communicate with the parents, talk to the students, a lot of feelings, which I would like to say is: "What to do, what should be the kind of action."
The following is my conversation with a candidate:
"For this year's college entrance examination is how to think?"
"Go no matter what."
"Tertiary education is also going?"
"No, up to the college line will repeat."
"That means three or more than three you can go."
"Yes."
"Then can it be understood that you do not want to repeat."
"Yes."
"So do you want to work hard for 20 more days or do you want to work hard for another 365 days?"
"Multiple days, of course."
"Yes ah, with 20 days of hard work for 365 days of freedom or even more, how good it is."
"Yes."
"So that means you're willing to toil these 20+ days before the entrance exam?"
"Yes."
"How to get through those 20 days or so?"
"Study hard."
"What constitutes serious revision?"
(Silence)
"How many points are you now short of your target?"
"Over 50 points."
"Which of your subject scores has more room for improvement? Rank the likelihood of grade improvement in your subject. Then break down the 50 points into each subject"
(guiding him in the conversation to make a study plan)
(with the following conversation after learning that he was doing very poorly in math)
"Do you think there is much room for improvement in math?"
"It's unlikely at this point, I've given up on math, I'll just touch it when I get there and touch a few points if I can."
"Oh yeah?"
"I'm not feeling math at all."
"Could you memorize more formulas?"
"That could work."
"Then how about this, I'll talk to you about the formulas commonly used in mathematics, and then we'll look at the previous years' Gao Kao papers and recognize the benefits of memorizing formulas?"
"That's fine."
(I put the formula in the college entrance examination syllabus with him carefully once, which interspersed with basic training, so that he has a basic understanding and use of awareness.)
(Then, I took out a copy of the marking criteria of the college entrance examination paper and analyzed it with him, which places can be scored by directly using the formula, which places can be scored by changing the formula into a lower form, which places can be scored directly according to the conditions in the question and so on, and I saw his excitement and thrill in his eyes)
"You want to give up on math now? "
"According to you, I don't give up, I just need to understand and will use use these formulas to improve my score a lot."
"Yes, math is difficult for many people, but for you, you have the basic means and methods to take the test, of course you can not give up.
"I don't give up anymore. But how do I apply the formulas more flexibly?"
"First, you can try to derive these formulas; second, write more to strengthen the perceptual understanding; third, go to see the marking criteria of the college entrance examination paper, to find what formulas are used in each question, how to use the formula; fourth, when you look at the examination questions, think about what formulas will be used, and how to use them, then look at the answers, and go to look for a feeling every day. What do you say?"
(I carefully analyzed with him a 06 college entrance exam math paper in each question is how to use the formula to score easily.)
What kind of result is wanted, then what kind of analyzing action is needed. Since he wants to take the test away, then see how to go, quantify the goal, refine, give direction and method, let him know what he knows but also know why, so that there is a strong fire of action, coupled with willpower, to achieve the goal is possible, and the possibility is great.
Cultivating a lifetime of reading habits
That time I went home, after dinner, said to my son, "Today we have a reading contest." So, my wife, I and my son started the contest. I have always believed that the cultivation of children's reading ability in the early grades of elementary school is the most important, which will affect the child's lifelong learning.
Shandong's friend on the junior high school, the last few exams are always not clear, see the problem is not all so that the results slipped a lot, I said to this friend, let the child read aloud, the requirements: do not miss the word, do not add the word, do not pour the word. Friends at first did not understand, I said you first practice, slowly know the benefits. I asked my friend's child's situation, my friend said, "Progress is obvious, back to the top four of the grade."
In the evening, I chatted with a first-grade parent about the evaluation and ability development of first-grade children. For first-grade children, it is important to let the child have a good reading habit, rather than treating the child with grade rankings." It is important for children to say how to read.
Why is it that when some children get to middle school or high school and do the problems, they can't always read the questions, they miss the words, or other people read it and then do it again, and why do children copy the wrong lines and the wrong words?
Look at the world with your heart
When it's late at night, we all think about it, especially when we are alone, we often think about what we have done, what we have experienced, and we have a lot of feelings and a lot of helplessness, but if we look at the world with our hearts, what kind of scene will we have in front of us?
There is a child whose father died early, drifted down to a big city with his mother, lived in a broken car abandoned, one day a man sympathized with the child said: "Good poor child, even a home is not." Guess what the child said? The child replied, "I have a home, it's just that when we have a house, we can move our home to a room." For this child, home is a cozy harbor not a building, an object to show off.
A professor at Southeast University talked to us about his child's exams. The child was in the Nanjing University of Aeronautics and Astronautics attached to the high school, one day the child said to him that the math test more than 60 points, he said to the child: "Go, go out and invite you to dinner." The child was confused and asked, "Why are you treating me to dinner?" He said, "To congratulate you for the 60 points of knowledge and ability you have acquired." The child said, "Then why don't you ask why you scored only 60 points?" He said, "There is no point in asking why you only scored 60 points. Wouldn't it be better if we could find ways to learn and techniques to improve our abilities from the 60 points we scored?" The child was happy to go to dinner with him. In the course of the meal, the child talked about the reasons for the loss of 40 points, and he added, "The reasons should be analyzed, but not now, now is the time to eat and enjoy, to analyze, to improve back home, sit down and quietly think, and write it is the right thing to do. Now just have a good meal and talk about other happy things." And so they enjoyed themselves, father and son.
Yesterday, I was talking to my niece's children about their studies, and I asked them, "How can you score more points and get better grades on your exams?" The child said: "Careful not sloppy." I asked, "How can you be careful? Is there any way to read the questions wrong?" The child said, "Yes." "Then how do you go about fixing that point?" "Just read the questions carefully." "How can you be considered careful? What kind of training should be done on a regular basis?" The child was speechless. I said to the child, "Go get a newspaper." The child brought a newspaper, I randomly pointed to an article for him to read to listen, a read does not matter, the first paragraph of less than 100 words appeared to omit the word there are 4, read the wrong word there are 5, add the word there are 3, jumping lines of the two, ....... I said to my child, "Do you see why there were so many misses?" "As long as you do when reading to do not miss words, do not add words, no typos, do not skip lines, do not miss lines, long-term training in this way, to develop the habit of a lifetime of reading, for the future is not only a matter of improving academic performance, but also for other aspects of the ability to improve the pavement."
When we communicate with our children, do we stand in the child's point of view to help analyze and give the child real help as well as actionable solutions? The key is to consider the child's heart with your heart, don't you think?
To understand the child, can we first look at the world with the child's heart?
My son's math is up and down, and I always tell him it's okay, but my son always says I don't care about his grades. A few days ago, I went home with a pair of poker back, I counted 24, and then I let my son and I counted up, of course, he is to count out the chances are very small, after all, my speed to be much faster than him, but I am always in the process of he told me clearly, even if he is right, I said to him that this is called steps, the examination of the university is "step by step to give points! I said to him that this was called a step, and that in college it was a "step-by-step approach. I asked, "What do you call it now?" And my son said, "Off-form calculations." "Yes, yes, yes, it's off-format math." So, we were in the process of counting 24, strengthened the child's mathematical awareness, thinking multi-directional training, step-by-step arithmetic ability to be able to logical thinking training. Son counting 24 tired, asked me what else to play, I said, we arbitrarily take 10 cards, to see who the largest sum, who will win, so, in this process, and cultivate the son of "simple calculation" method and "rounding up" mathematical thinking. Play kitten fishing with your son to penetrate the idea of probability; .......... The first thing you need to do is to get your hands on some of the most popular products and services in the world, and you'll be able to do that with the help of your own personal computer.
Yesterday afternoon in the Sina UC senior parents blog circle with a parent to communicate, when the parents for the child's problems troubled, constantly in the problem on the circle, I asked the parents: "What is the child's goal?" The parent said, "As if there are none." "No way, think about it." The parent suddenly remembered something and said, "Used to want to go to Zhejiang Media University." "Oh yeah?" "What did you tell your child at that time?" The parent said, "This school is very good, with your current situation is difficult." "And then?" And then never talked about it again. I said, "What a great opportunity we lost." In so many cases, I've consciously nipped a child's dream in the bud. Parents ask, "What should I say then?" I said, "It's simple, don't you want to take the Zhejiang Media University? Then we find all the information about Zhejiang Media University, then look at the faculties we are concerned about, consider the conditions required, and then analyze what we have, which we do not have, how we reach one by one. Give your child goals, reach them step by step, and give them hope." When I talk to parents in this way, they are no longer troubled by their children's problems, but are thinking about how to stimulate their children's internal motivation. For the child's existing problems, it is not for us to help him/her to improve, but to help the child to establish a new life structure, to give him the direction and method, to give him a life orientation and goals. We don't want to change the child, we can guide and influence him/her. When I gave a talk in the Senior Parents Blog Circle, I said, "We have to be hopeful, we have to be people who give hope." All the more reason to give hope to our children, don't you think?
Children are growing and maturing day by day, and so are we. How can we effectively work with and practically help our children? Look at your child's world with our hearts, okay?
What we need to do is to lead our children to the right path, and let them face it bravely and positively. A few days ago, I taught my son to ride a bicycle, so-called teaching is just to tell my son how to get on and off the bike, ride has been a long time ago, he was sitting on the saddle and then ride, but I want him to get on the bike in the movement, which is the real cycling. I took the bike and said to him, "See how I get on." So, my left foot on the pedals, my right foot a pedal, the bike to the line skidding, the right leg lift across the bike, leisurely ride up. Son to see, also learn my way, but when the car skidding, he is two feet at the same time jumped up, very amusing, but just can not get on the car, I said to him: "you can left foot on the pedals do not move, the right foot stirrups, when the bike faster skidding, the left foot does not move, mention the right foot, you so stirrups the right foot, lifting the right leg, stirrups the right leg, lifting the right leg to try it. " Son so pedal, lift, pedal, lift, suddenly across the bike ride up, I do not feel applauded and shouted: "good". I could see my son's excitement and he just kept practicing. When my son was ready to get on the bike again, I counted to three and then you could get on the bike, so I counted "one, two, three" and my son really succeeded. Finally, I said, "You can get in the car by pedaling once with your right foot." My son succeeded once, which made me happy. So, I only did one demonstration with my son to get off the car, and my son knew how to do it. That day, despite the heat of the day, but my son's interest in cycling did not diminish,.......
Liu sister successfully trained her son into the Beijing University for further study. I'm not sure if you're going to be able to get a good deal on this, but I'm sure you're going to be able to get a good deal on this," he said. My son was not able to jump rope at all, but my sister bought a jump rope, first with my son while running and jumping, running and jumping, when you can continuously jump a long distance, teach my son to jump in place, in fact, that is, jumping in motion and jumping in the static in the training, after a short period of time, my son went to participate in the rope skipping competition, and even won the championship. Similar to such training, sister Liu did a very fine, very real, but also very mindful of doing, and ultimately let the son in the success of the power of progress and endless source of motivation. This is how Sister Liu hammered out a scholar of the University of North America.
I tutor students to participate in the National Mathematical Olympiad, for students to ask the Olympiad questions, I am not even look at the question, let the students read, I closed my eyes to listen, and then the students will be the conditions of the problem one by one break down to me to listen to, I will ask a sentence, "you solve the problem, the conditions of the problem are used?" If not, I let him figure out how to use all the conditions on his own, and if he did, I ask, "Did you have an inference for each condition? What are the valid inferences?" In the end, I let the student write his own answer process to me, I come to read his answer process, when I can't understand the place, I ask the student to tell me, when I find unreasonable, incorrect place, let him fix it, there are a lot of people say that I'm a misguided, so is it really a misuse of human beings? I'm not sure if I'm a good person, but I'm a good person.
As parents, teachers, how can be considered a real learning to help children grow? I often parents said to me, "I can not tutor children, if the first and second grade is okay," I said, "the first and second grade you can not, you said the line is just to help the child to do the problem, not to help the child to establish the structure of learning, you use the adult thinking rather than the child's thinking, why do we call math arithmetic when we were kids? That's for a reason." "How can you do it without tutoring, what if the child really doesn't know how?" "If they really don't know, you can do something about it, let the child read the problem to you, maybe after reading the problem a few more times the child will know it." "What if he still doesn't know?" "If he still can't, then you let him write the part he knows, let you read it, let him talk about it, as long as you can read what he wrote, and he can talk about what he wrote, then his ability will come up." "And if it doesn't work?" "Then ask a classmate or a teacher!" I am against parents telling their children too much about tutoring. I once did a calculation with my son, "The other parents tutored, scored 100 points, the average score is 100/3 is about 30 points, you alone even if you score 60 points than he is higher ah." My son said I bragged, but he had a smile on his face.
Seeing the world from the heart, this is to be done from every angle and at every level.
Yesterday, a child came here for counseling, and when he saw the "playfulness" training on my profile, he asked me what "playfulness" was. In fact, we are no stranger to the words "IQ" and "EQ", but now there are more new terms such as "money quotient" and "financial quotient". Nowadays, there are new terms such as "money quotient" and "financial quotient". For each of us, it is very meaningful and valuable for us to understand and develop our play quotient. The so-called "play business" is to actively participate in the "play" and through the "play" to gain the ability and quality.
Everyone likes to play, and children love to play and need to play more, just too utilitarian era, deprived of the right to play. Do you remember what it was like to play when we were children ourselves? How long has it been since we played like that? Do we often lament that kids today don't play? Is it true that they don't know how to play, or that we don't give them the chance?
In my memory, that distant summer, our village in a spacious place, each family set up a small dining table, basically the whole village in the sunset or the moon hanging in the treetops when they eat and play rice, chatting with the parents (chang), the children will be carrying a bowl of East string to the West, the parents will be far away from the name of the milk to let the children back to their own table, but when the children return to the table bowl But by the time the child returns to the table, there are already many dishes in the bowl, but if a child comes to our own home, we can't help but give the child a dish or something, it's a joyful and melting and its feelings are also true. After the meal, the children were either playing hide-and-seek or throwing handkerchiefs, or throwing purses or catching chickens with eagles, or searching for the dragon's head or grabbing sandbags, or listening to the Journey to the West in a circle, or dividing into small groups to create their own sketches (at that time there was no such word as sketches, it just meant that they were acting out a story together), or listening to or singing Huaiju Opera (our hometown opera), and so on, and the laughs were also cool, and the voices were also brittle, and the ... ...
In my memory, we an office teacher, in between classes to play the Rubik's Cube input, throwing darts laughter, to chair as a goal shooting achievement, puzzle contemplation ......
In my memory, a group of adults dozens of us to the old mountains of Nanjing ... Tug-of-war, rope skipping, back flying, crossing the "grass", single palm splitting wooden blocks, dancing together in a group, group singing competitions,......
In my memory, I organized the village children in order to stimulate their motivation to study, they have fun moving will be, riddle quiz ......
Do you know the game "Kill"? The first time I've seen this, I've been to the beach and I've been to the beach. Have you ever been bungee jumping? ......
A news report, white-collar workers often buy some small toys, small games props to bring to the office in the break to play.
A news report, Shanghai opened a store, all personalized toys, business is very good ......
With our heart to see children, children need to play?
In our minds, do children need to play, do they know how to play?
Let's talk about counting 24, draw 4 cards, any use of addition, subtraction, multiplication, division and parentheses to make the result 24; if the color of the card is divided into positive and negative numbers (for example: red for positive, black for negative); if you give you a bunch of cards, let you 4 a group into a number of groups, the requirement is that the result of the calculation of each level is 24 it? A lot of people say they know how to play 24, how many of these do you have?
Do you know word solitaire? I often ask children, "will ......". But what kind of solitaire? The first word of the next word is the last word of the previous word, and so on. What if this is required, the first word of the next word is the last word of the previous word, until the last word of the last word is the first word of the first word end, have you ever played? What if it was English word solitaire? What about English phrase solitaire?
A poor young man wanders into Paris, expecting his father's friends to help him find a living. "Are you good at math," his father's friend asked him. The young man shook his head. "History, geography?" Again the youth shook his head. "And law?" The youth hung his head in embarrassment. As his father's friends asked questions one after another, the young man could only shake his head and tell them that he could not find the slightest merit in his years. "Then write down your address first." The young man wrote down his address, turned to go, but the father's friend pulled back: "Your handwriting is very beautiful, this is your strengths, you should not be satisfied with just find a job to make ends meet." A few years later, the young man did write a world-renowned classic. He was Alexandre Dumas, the famous French writer of the 18th century. After enjoying this story, do you have anything to say?
No sense of purpose at all!" Such language is like a sharp knife in the heart of the child, the child will not only not accept, more resentment and rebellion. Some parents will ask, "How do we say it?" Look at a conversation like this, okay? "Do you know the way to school?" "What do you mean, which one doesn't know the way." "What about walking there?" "Where's the school, Che", the kid looks disdainful, "What are you trying to say?" "Oh, nothing, I know the reason we're walking like this is because that's where the school is, which means we know where we're going before we even set off at home, right?" That's all there is to say, and don't say anything more below that. Children are smart children too, so see what happens when you communicate with them in this way?
Playing is a child's nature, does the child play, there is no time to complete homework? Is it possible that a child's future will be jeopardized if he or she plays?
If you want to play, you have to look at how to play. If you take "play" as "play", then what is the point of talking about "play business"?
Through play training, children can learn more about the world around them, develop their ability to get along with other people positively, learn to pay attention to other people in an appropriate way, and develop a sense of responsibility for their own lives. Through the training, children can learn to pay attention to others in an appropriate way; develop children's ability to concentrate and pay attention intentionally in the training, so as to lay a solid foundation for learning academic subjects; promote the development of both brain hemispheres - the left hemisphere and the right hemisphere through the training of "Play Quotient". The "play business" training, the development of children's curiosity, exercise their problem-solving skills, and cultivate children's autonomy.
Last summer, a child had good grades, but communication between the child and his parents became a big problem. The child's parents found me, so I organized an activity: (1) to invite different families and college students and postgraduates to participate in this activity; (2) to find two paragraphs from the newspaper; (3) to let a postgraduate student will be one of the paragraph of the text to organize the performance of the staff to coordinate, script writing, props, etc. by the graduate student is responsible for; (3) to let the child imitated the postgraduate student, organizing the other paragraph of the text to perform out; (3) to let the child imitation graduate students, to organize the other paragraph of the text to perform out. organize the people to perform the other passage. Who do you think the kid will look to first when he's looking for actors? Of course, it is his parents, so he took the initiative to communicate with his parents, communication, and the main role is definitely not for parents to assume, the reason is that the parents are good at talking, which parents in this case do not give face to the child's face, and will do their best to cooperate with the child when going home to communicate with the child will not be more? They will be immersed in the joy of success, their feelings can be praised ah! You say, in the course of this activity, the child's ability to improve which? The power of rapport, verbal communication, resource deployment, performance, imagination, oral composition and so on can be cultivated, if the child often come to participate in such activities, what will be the result?
Through the play business training, improve the child's comprehensive ability, you say his learning efficiency will be high? The first thing you need to do is to get your child to the next stage of the game.
Mr. Yang Zhenlin said, "If I were to chop wood, I would spend 70% of my time sharpening the knife." For my guy, how do you think this statement 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, redefine the rules: to see which horse runs the slowest, so the contestants sat on the horse to see how how not to take a step, the beginning of the audience is silent, everyone is holding their breath, fully concentrated on enjoying the game, for a long time, the contestants are still standing in place not to move, the crowd began to riot, "too boring," the crowd began to move. "Too boring", "really bad",......, this table language constantly from the crowd, and later turned into a collective protest, some people proposed to refund the ticket, this occasion The first time, as long as there is a person to mention such slogans, that should be a lot of people, see the scene is difficult to control, then stood up a referee, facing the audience said: "Give me a chance, I guarantee to let everyone see a since the history of equestrian competitions in the industry's most exciting game." "Bragging, how can that be? It's a race to see which horse runs slower, and none of them are stupid enough to leave the starting point first." There were countless responders and boos. This referee walked towards the starting point with a smile on his face, gathered each of the contestants together, and after instructing a few words, the contestants remounted their horses, and when the starting gun sounded, only to see the contestants running forward like crazy, the tumultuous crowd froze at once, and there was no sound for a long time, they were stunned by the scene in front of their eyes, and it took a long time for the shouts of applause to come from the crowd, followed by thunderous applauds, "It's too wonderful. It's really too wonderful." People could hardly restrain themselves, cheering and active ....... After the game, the reporter interviewed the coach, "you and the players said what, make today's game so wonderful," the referee gently smiled: "nothing, I let them exchange horses with each other, that's all." When we have our eyes fixed on our own hearts, wouldn't there be more blind spots to consider, what if we let our minds look at the world? Look into the future?