After a semester, the gap between children is naturally getting bigger and bigger.
Speaking of mathematics, you may feel that it is useless except for exams.
But this is not the case.
The real function of mathematics is the mathematical thinking behind it. Including orderly thinking, forward thinking, backward thinking, logical thinking, divergent thinking and so on.
How strong are people with mathematical thinking?
Can express clearly and methodically. For example, are you verbose and incoherent? And logical thinking can help you solve this problem; It is easy to grasp the essence of things and the direction of efforts. Are you working hard, but you haven't made much progress? You need to think in an orderly and regular way to improve work efficiency; Can make you divergent thinking and become more creative. Just like when I was playing music, I only knew five or six chords of the guitar and several scores of the piano, from which other music theories could be derived and I began to arrange and write songs.
Everything in the world can be found through mathematical thinking.
People who are good at math are also more likely to control their work and life. Because they are organized, logical and methodical.
Why do children in China get "high marks and low abilities"?
Mathematics is so good, it's a pity that in my ten years of mathematics education, I found three types of students in China:
One kind of students are completely uninterested in mathematics and often fail in exams;
Another kind of students suffer from "sea of questions". They do a lot of exercises and attend various remedial classes every day, but they still can't do similar exercises.
If this is the case with your children, then you really should be taken seriously.
The problems of the third kind of students are most easily ignored by parents.
It seems that the math scores are very good, but in fact they are "high scores and low abilities". If you only get high marks and don't understand the real principle behind mathematics, it will be difficult to draw inferences.
So as long as you observe it a little, you will find that many children with high scores will fall behind when they want to learn deeper mathematics in their senior years.
This is why children in China are better at math than children abroad, but their imagination, creativity and future potential are far behind others.
From the past to the present, most children are still learning mathematics in the traditional wrong way, which is difficult, inefficient and a waste of time. As long as you use the right method, there is no child who can't learn math well.
The tactics, formulas, and the way children in China learn mathematics are almost all wrong.
Let's tear it down one by one. There are two common misunderstandings in children's learning mathematics in China.
No.65438 +0, Crowd Tactics-The Disaster of Learning Interest.
Many people think that the sea tactics are effective. Well, I admit that inefficiency is also an "effective". It's easy to understand-doing problems repeatedly will naturally produce conditioned reflex to various problems and solve them by mechanical memory.
However, the price is really too high.
Most children will kill their interest in learning mathematics because of the sea tactics, and then they will be scared, forming a psychological shadow, walking as far as they can, and even never touching numbers-related jobs again in their lives.
Second, the application of problems and formulas-the apparent efficiency of learning results.
There is a kind of children who do their homework well in every class. When the exam came, the topic changed slightly, and he became very confused. At this time, if you tell him "what kind of problem is this", he can immediately apply the formula to solve the problem.
Does he really understand this formula? Obviously not. He has no ability to judge problems, he can only apply formulas.
I have seen too many children who have been trained by "question type+formula" for a long time, and many of them have obvious fear of difficulties. As long as they haven't done the problem, they will give up directly because they are used to applying ready-made ones.
This is a terrible thing.
One is whether he really understands the principle, and the other is whether he will form habits that will affect his future life and work.
Because most of the problems we encounter in life have no ready-made formulas, teaching children how to think and solve problems can truly achieve the purpose of education.
Help failed children with small skills, fall in love with mathematics, and solve mathematics.
So learning must have skills. The key to learning mathematics is to "enlighten" children.
So how can we make children "understand" mathematics?
My method is: give the child a bowl of rice first without chopsticks.
Traditional education likes to tell children directly how to eat with chopsticks. But the really effective education is to give children a bowl of rice first, so that children can find their own ways and tools to eat.
In this process, the child may get his hands dirty and take detours at first, but when he finally learns to eat with chopsticks, he will never forget this skill.
Know what it is, and know why it is.
Don't tell your child what to do at the beginning, but guide your child to understand why. It is not to instill knowledge, but to teach children the way of thinking and cultivate their ability of mathematical thinking, exploring and solving problems.
After this ability is cultivated, children can "begin to understand" everything they have learned.
As long as you use the right method, there is no child who can't learn math well.
Unlike others, I advocate doing a question for each knowledge point.
From a problem to divergent thinking, where have you seen this problem? Put all the similar questions together, and then observe them from the questioner's point of view: What are the differences between them? Why do you ask such a question? What are you asking? How to change the topic?
It is more effective to understand a problem like this than to do a hundred.