How to protect the learning motivation of extraordinary children?｜ Viewpoint

Children's spontaneous exploration and own mathematics may not be used in the exam, but they can cultivate a true foundation.

Written article | Wang Yonghui (Professor of the Department of Mathematics, Capital Normal University)

Regarding the power theory of learning, ordinary parents may feel very mysterious. In fact, this is a subject that has studied clearly. The internal driving force of learning needs to be cultivated the day after tomorrow. Generally speaking, the following parameters are mainly included:

Selection right × trial and error right = challenge power

Shengyi × hunger = persistence

Social × fun = play force

I used these three formulas to re -sort out, just to form Zhou Yi's three -categorian, six -four hexagram structure.

Our article is mainly aimed at how to protect the math learning motivation of extraordinary children in mathematics? But it also has a reference significance for other disciplines.

There is a consensus in the circle of mathematicians: mathematics from low to high, learning and learning, one day it will exceed your intellectual range, one day it will make you feel stupid, or sooner or early. This is a bad news for those extraordinary children who like math with high intelligence. Although some extraordinary children are highly intelligent, their minds are not necessarily very focused. When they have a period of time, they occasionally fail to fail, and they will likely shift their attention and no longer pay attention to mathematics. This is also the human nature! Mathematics is actually the most difficult discipline. According to the research of human beings, the brain functional area responsible for mathematics is also relatively late.

Therefore, it is normal for ordinary people to like mathematics. Now because the Chinese examination is tight, the level of mathematics of ordinary Chinese students is not bad, and it is also China's contribution to the world. However, if China relaxes mathematical requirements, according to human nature, more people must be unwilling to spend their minds in mathematics. How to do it? This article is only an analysis of those who are extraordinary children, or even more widely, including those who also want to learn mathematics.

When I was a small classroom mathematics education, I was envious of the teacher Wei Wei, who taught martial arts for the children of the small classroom. I told Teacher Wei: If my math teaching has reached the level of martial arts teaching you have done on your son, then I will be very successful.

Teacher Wei's son is now in his thirties, but when he talks about martial arts, he still has his eyes on his eyes. He is also a master of close fighting, and he really does it. There are both martial arts skills and the passion of martial arts. Such teaching results are very successful! So, I will learn from Teacher Wei, how can I reach this level? Teacher Wei said: "This is simple." In the martial arts class, his son often suffered in the hands of Teacher Wei. He always couldn't beat it, but he would often win with children to compete with children. Hard work in class and flat, formed a virtuous circle.

After listening to this experience, after so many years, I finally felt a bit less easy to achieve mathematical. Because the people who can laugh at the last in mathematics to the last one hundred years may be a dozen years. Even if you keep your advantages in high school, university stage, in Beijing, or in China to become a leader, there may be only one digit personality every year. Therefore, it is obviously inappropriate to use this method to use this method to use this method. The class is beaten, and it is estimated that the class is still being beaten, and it is difficult to be a general of Changsheng in mathematics.

then what should we do? Now let's jump out of the small classroom and talk about the situation that children may face higher.

In recent years, a foreign Chinese mother has often troubled me. The message she gave me on WeChat may have been accumulated in the past few years. There is a son in her family, which is very intelligent, and it is likely to be close to 160. Learning things is always fast. This mother has also done a lot of things, such as using local educational resources such as libraries to provide children with learning conditions. Different from many families, they will find teachers for children. This mathematics has a very special personality. She is unwilling to go to the training institution, and there is no tutor. I think that many of the children's personality performance is very master. Has Gu Long just said that people with personalities can become masters of martial arts, and the personality of this child belongs to the kind that can become a master. Fortunately, parents also respect their children. The ability of extraordinary children is very high and very personal. To be honest, it is a bit a little bit. Because of this, this mother often talked to me in WeChat. Therefore, although I have never really communicated with this child, I still know about his situation.

How can a child like this protect his math learning motivation?

The first suggestion is actually a consensus in the extraordinary education circle. For example, Professor Shi Jiannong, a leading figure in China ’s ultra -normal education research, and the director of the Institute of Psychology of the Chinese Academy of Sciences. He guided the 30 years of the Beijing Eighth Middle School Children's Class. One of the important parts is the natural physical education class of the children's class. Essence Biography of more mathematicians scientists will find that many masters like hiking. A great Russian mathematician said that he went to ski when he couldn't think of the problem. After three or four hours slipped, he came up with it. Such people are super mathematicians, their brains are fast, and they are fast. Therefore, being a university professor is very easy for such people, and soon can reach the annual amount of tasks, and the rest of the time is free. For extraordinary children, hiking is actually more important. Because they are fast, they need to find a activity of contacting nature, and use the frequency of nature to slow down their minds, so that the spirit can stabilize. Stable and overwhelming everything! Unfortunately, this mother does not believe in this statement, and this does not believe that it is common among many Chinese parents. I can only say that the truth of education is not like the theorem of mathematics, as long as it is proven, it is 100 % convincing. If you look at the biography of mathematicians and scientists, you can get a lot of inspiration. Parents should attach great importance to their children's daily sports activities, as well as weekend outdoor hiking activities such as mountain climbing, and more efficiently eliminate the brain waste after learning. This is actually a talent.

For children with extraordinary mathematics ability, they may be more willing to sit at home to read books than outdoor sports. At this time, parents should force their children to go out to exercise, and at least one day on the weekend takes them to walk. In this regard, our philosophy is close to the Beijing Eighth Middle School Children's Class participated in Professor Shi Jiannong and the Zhongke Qingyun School, which hosted by it, and the support of psychology and brain science.

When children grow up to engage in scientific research work, they will not only have fun, but also a lot of boring jobs. Any beautiful job, like the TV can show a variety of pictures, the manufacturing of specific devices such as the circuit behind is boring and needs to maintain a high degree of attention. High -intelligence children have a strong personality and may be more likely to lose patience. Many of them may lack the focus and lasting power of their careers. Our response should not let them be academic patients from an early age, but to cultivate their biological patience through hiking such outdoor activities. When they grow up, they will naturally move to academicly. In the words of Chinese martial arts, this is not to practice mind, but to practice with martial arts, which is in line with today's psychological and brain science knowledge.

The second suggestion is to respect and encourage children's own mathematics creation activities. This is also the main point of this article. It is a pity that the aforementioned mother did not pay much attention to it. She only feedback her son's mathematical creative activities in the early days of contact with me. Later, it was mainly feedback to learn this. What did the child think of? Speaking rarely. One of the reasons is that she feels that children can't play a big name for math herself. So what she does is to find resources the most. This is also right, but how the result lies in the slightest difference. Thousands of miles away, if the child's own mathematical creative activities are squeezed by the resources found by the parents, or even the disappearance, it is not good.

The child's path of mathematics progress has induced me to recently write a blog post "Ignoring the" Solidarity ": It is easy to form two misunderstandings in mathematical learning." According to the author, her son is likely to fall into a high -level misunderstanding and use high IQ to replace abstract thinking ability to learn mathematics, and there is a slight difference between the two. This also prompted me to get the answer to this article: In order to protect the math learning motivation of these extraordinary children, they must not let them think that mathematics learning is only for the competition. They are the most important of those mathematical exploration and mathematical creation activities from small to large.

Once parents have this understanding, they often encourage, support, and affirm their children, and children will naturally love mathematics. If you only participate in the math competition, the child is easily frustrated. Even a small genius, it is unlikely to get the medals every time, and it will be slightly frustrated. However, the children's own mathematics creation activities, those who like to make blindness, are different. The problems he discovered have their own distinctive personality characteristics, which makes him different from any others, so that the child can get more mathematics self -confidence Heart and autonomy. The only thing to need is the confirmation, support and encouragement of parents! Children's ability to be psychologically implied by parents is very great! Parents' conscious and unconscious values ​​can easily affect their children.

Let's talk about a case, and it is also a very important mathematical genius, just in Beijing. When I saw him, he was only 6 years old, and he was going to elementary school after the summer vacation. At that time, the path of his mathematics learning was very consistent with the creative and exploratory standards. He could find the speed algorithm by himself, and the existing books were not recorded. It's inside. In this level of mathematics genius, I don't think the talent of our talents will be as good as the Yunnan genius that we have helped by several mathematicians (last year at the age of 14, admitted to the Qiu Chengtong project of Tsinghua University, only two nationwide), they It is very rare, and its ability makes a professor of mathematics like us feel eye -opening.

However, after the child entered elementary school later, he could not let him not let him go to Olympic class because he was in a big city. He performed well in the top Olympic class in Beijing, and the cash reward he took back at the end of the period could be sprinkled on the table. We used to know that there are possible disadvantages for ordinary children. However, what we may not expect is that for this super mathematical genius, there may be considerable harm in the Olympic class -Austrian interferes with the rhythm of their own understanding of mathematics and growing up in mathematics. And self -exploration is actually very important! I have met this Beijing child again last year. The third grade of elementary school. He did not talk to me about math according to the plan. Instead, he wanted to talk to me about the brain on his mobile phone. I talked about jokes and then talked about mathematics, but in the end I didn't talk much about mathematics. This is the later education that hurts the children's spontaneous mathematics motivation. Instead, he focused on mathematics as early as he was young.

In fact, it is normal for ordinary people to focus on mathematics so much. However, this super talented mathematical genius can still be surprised by the kind of fast -forward education like elementary school Olympics. I am also surprised. I originally thought that this child's appetite and the innate quality of physical fitness should be fine.

It can be seen that one of these two children in common is that when they were young, they started to play a good state of mathematics because of the improper operation of the parents, even a lot. Although the first Chinese child we talked about abroad did not go to a training institution or tutor, it seemed to be free, but because the parents were studying at home, the child was studying mathematics with the mentality of completing the task. Therefore The interest in the natural exploration of mathematics slowly lost.

The mathematics that you want to make up, the math out of mathematics may not be used in the exam, but you can cultivate the true foundation.

It is understandable that parents are in the real society and support children to learn mathematics. It is inevitable that real factors will be considered. However, if you are not comprehensive, you can get the state of playing mathematics when you are a kid.

So far, there have been several extra children who have been looking for me, but so far, I have not really accepted my pro -granting. I just communicate with their parents. The main reason is that none of these parents' practices can meet my requirements.

I can understand the mentality of parents in China, but the outstanding talents also have a high elimination rate. As far as I see, it is a pity that often this elimination is caused by incorrect parents.

Postscript: It may be that many ordinary parents, like the Chinese mothers mentioned in this article, do not understand that IQ's high -heeled abstract thinking ability is different. It does Use intelligence to replace abstract thinking ability to cope with learning.

I use a small test to help parents understand it. If a student claims to have studied university mathematics, and even junior high school students have studied senior college mathematics, then let him/her prove "the only theorem of the integers", which is the content of the junior number theory, which belongs to the middle school mathematics competition The scope, but many competition students will scribble, just remember how the theorem is used in the topic, but I don't care much about the proof of the theorem itself.

Our small test must not only examine whether the child will prove this, but more importantly, if he won't, he has a particularly great energy to prove the theorem himself. This kind of mind is a specific manifestation of abstract thinking ability. In fact, most adults have not reached this rational level of mind for a lifetime, and even doctoral doctors in the country. Among them, they have this level of mind and intelligence.

Like the Chinese mother, the characteristics of their children are characterized by strong abstract thinking ability. This is definitely not wrong, but as far as I estimate that his child has a very high amount of knowledge, the abstract thinking ability exceeds the general level and excellent excellence. There are not many children.

Source: Hui Pu

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