Usually at this time, Xiao Feng will interrupt his parents as soon as possible and say the last sentence: Don't judge the children's math, let them try it in the classroom first and let the teachers have a look. Why do you always emphasize this point? Because Xiao Feng found that most parents seem to judge their children's mathematics based on the school's test scores, which is obviously a bit single.
There are many students with dangerous math scores in the school. When they came to Pande's math classroom, they found that they actually had a good foundation. Many of them seem to be doing well at school, but only after they came did they discover the hidden crisis.
Last week, in a middle-grade class, two excellent students had a wonderful debate. Both students stated their views and both wanted to refute each other's views. At the end of the debate, the two men held their own opinions, but neither could convince the other. Finally, Mr. Zhang asked the two students to return to their seats, but this time the discussion was not to summarize, but to take this opportunity to guide the other students' ideas.
At this time, a little boy raised his hand and asked, "Teacher Zhang, who is right and who is wrong between them?" On the other side, a little girl raised her hand and said, "Teacher Zhang, I don't think either of them is right!" " At the same time, the little girl also stated her views.
After class, Teacher Zhang was full of praise for the little girl's performance: in this case, she was able to fully think about the views of the two people who had debated before, scrutinize and summarize them, and then generate her own views, and bravely raise her hand to question and deny their views. What a powerful thinking ability, courage and self-confidence this requires!
For the little boy who raised his hand at the same time, Mr. Zhang expressed great regret: he asked "who is right and who is wrong", but actually he just wanted to get a correct answer, but he gave up the "thinking" that he should insist on most. Teacher Zhang regrets that although these two children were transferred from other classes, they were ahead of their classmates all the way and entered the group with their own Excellence. As a result, one thought more and more strongly, and the other almost gave up thinking.
It must be emphasized here that these four students are excellent in mathematics at school, that is, those children who are "good at mathematics" in the conventional sense. The three of them are studying mathematics in Pande, and they are also studying Olympiad outside, and the results of the Olympiad class are also good. The only one who didn't have another meal was the little girl.
Why am I always afraid that parents will say that children are "not good at math"? It is precisely because everyone's judgment standard for mathematics often comes from the school's scores, but it is often overlooked that scores can lie.
Every student has to go through an exam. When students take exams, they should look at their scores, which in turn determines which middle school and university they want to go to in the future ... So, courses for "math exams" came into being. They kept brushing questions, reciting formulas and even "holding questions" before the exam, just hoping to "meet" the questions they had done in the future exams.
So after exams again and again, some children are considered "not bad at math" because they have done certain types of questions and achieved good results; Other children are considered "not very good at math" because they have never seen or "figured it out", which leads to unsatisfactory grades. Is this fair? Is this score true?
It is difficult for me to agree to use a math test paper to illustrate a child's math ability, not to mention that such a test paper is suspected of generalizing. Even if the same score is 100, the conclusion should be different with different methods. He got 100 on his own thinking math test paper, and this 100 is entirely his; On the contrary, by repeatedly brushing questions and betting, even if you get 100 points, this 100 points may not be all his.
This is not to say that examination skills are not important. On the contrary, when children are approaching the senior high school entrance examination, Mr. Zhang will even actively encourage them to brush questions and accumulate test experience, which is helpful for the exam. However, this kind of test skill training can only be an aid after the mathematical strength is already possessed, and it cannot be a so-called "shortcut" to replace mathematical thinking.
What is the meaning of mathematics itself? It's thinking!
"Mathematics is a tool to train the brain, and mathematics classroom is the' gym' of the brain." Teacher Zhang of mathematics said.
Mathematics itself is not a "discipline", it is more like a "tool", such as barbells, treadmills and spinning bikes in the gym ... We go to the gym to practice "physical strength" and come to the math classroom to practice "brain power". After physical exercise, you can go out to play basketball or football, and you can do any exercise with ease; If you have a good brain power, you can also study chemical physics. Learning any thinking subject will get twice the result with half the effort.
What do we study math for? It is to enlighten the mind and enhance one's "brain power". Through the study of mathematics, we expect children to acquire the ability of independent thinking and discrimination. The score of the exam should be the logical result of brain enhancement, not the goal we pursue.
Some people may say: I know what you said, and I agree with it, but I can't help it. The children's classmates are all studying Olympic Mathematics, and his exam results are always unsatisfactory. Scores really can't explain all the problems, but our parents can't help it.
Indeed, everyone is a little anxious about the exam results, but have you found that in fact, only a few exams such as the college entrance examination and the senior high school entrance examination decide fate. As for other exams, it is only a phased assessment of these exams. It happened that because of this examination system, everyone became anxious about every exam, and they felt desperate when they failed twice, so they desperately pursued scores, but turned a blind eye to the lack of children's thinking ability.
Many parents are not unaware of the disadvantages of doing so, but feel that there is no way. It is better to swallow a little and absorb a little than to do nothing. In fact, the result is often the opposite.
Many children are not clever, but too clever. They know what is simple and what is difficult. On the surface, it seems that some math training is also difficult, and even adults have to think about those problems for a long time. But they have a formula! Teachers have summed it up, such as "handshake method", "cannon method" and "tree planting problem" ... These formulas are correct to use as long as they are memorized and encounter corresponding problems. It is much simpler than sorting out your own thinking process, summing up your messy thoughts and instilling a set of formulas to do the problem. You don't need to know the meaning of the formula, as long as you can recite it and use it. This is much simpler than forcing thinking in teacher Zhang's class, and you can get high marks. There is nothing wrong with it!
The 100 point solved by thinking and the 100 point completed by memory are also 100 points, but can these two 100 points be the same? And children give up thinking in order to get 100 points. This process is too easy to be ignored! And mathematics without thinking ability is still mathematics?
So where should the focus of mathematics study be? How to judge whether a child's math is good or not? This is a question worthy of every parent's consideration!