Mathematics is a very strange subject with the phenomenon of "falling behind". It doesn't mean that if you learn the knowledge of the lower grades well, you will certainly learn the knowledge of the higher grades well. That may not be true.
In mathematics, we often see that in the third and fourth grades of primary school, a group of students' mathematics scores suddenly declined; Later, in the second and third grades, a group of students often fell behind in mathematics; Later, in high school, some people kept falling behind.
Many educators try to explain this strange phenomenon. Some people say that "children are disobedient when they are older", some people say that "children are wild in adolescence", and some people say that "they were not trained in thinking when they were young". I agree with the last statement, more accurately, the foundation of thinking ability is not firmly laid.
Mathematics is an advanced thinking activity of human beings. The more you go to the top, the more you need all kinds of thinking skills. When thinking ability is insufficient, backwardness is inevitable. For example—
Before the third grade of primary school, mathematics only needs to be memorized, and it is enough to remember some calculation rules;
But in the fourth grade of primary school, it is not enough to have memory, but also to have logical ability. At this time, children with insufficient logical thinking ability will fall behind;
In junior high school, we still need to use spatial imagination, and students with insufficient spatial imagination can't run;
High school students may need to use thinking skills such as abstraction, induction, deduction, etc., and students with insufficient comprehensive ability in this area will be unable to do so.
First, develop eight kinds of intelligence.
The so-called eight intelligences were said by Dr. Gardner in the United States. He said that human intelligence is diversified rather than single, and consists of eight kinds of intelligence, including language intelligence, mathematical logic intelligence, spatial intelligence, body movement intelligence, music intelligence, interpersonal intelligence, self-cognitive intelligence and natural cognitive intelligence. -Then the problem comes again. How to develop these eight intelligences? It's very simple, that is, let the children play, and the more they play, the crazier they are, the better.
Shouting in the game, Kan Kan talks, this is called language intelligence; Combining multiple game props to calculate the numbers in the game is called computational intelligence. Climbing trees and jumping down to pile up trees in the game is called spatial intelligence. Running around in the game is called sports intelligence. Cooperation and coordination in the game is called interpersonal intelligence. In short, the crazier children play, the more they play, the better these eight intelligences will develop, and their math scores may be better in the future.
This explains why boys who are a little naughty always seem to have poor math scores, but in high school they surpass girls who are obedient and excellent.
It's simple. It turns out that the poor performance in mathematics may only be due to carelessness, but the naughty boy's childhood intelligence is far more thorough than that of the good girl, and his deep thinking ability is far stronger than that of the good girl. He has laid a solid foundation and will naturally catch up with him in high school, and the building of mathematics will naturally rise higher and higher.
So let the children go to The King of Children. What do you mean by "the king of children"? Those who are particularly active and excited, and who are able and willing to play with a lot of children, are called "kings of children". Such children are often born and can't be cultivated, so if you meet them, don't let them go, you have to find a way to get close to them, hehe. Because only in this way can children have fun, so eight kinds of intelligence have been exercised and developed imperceptibly.
The essence of mathematics enlightenment should be:
● Cultivate children's thinking about mathematics: through children's own cognition, the concrete object image is over-represented as abstract digital thinking.
● Cultivate children's interest and desire to explore the laws of numbers.
Mathematics is a subject involving logical thinking, but for preschool children who are still thinking in images, the best way to enlighten mathematics is to concretize various concepts of mathematics in games, stories and life.