Positive thinking
Just follow it, this mode of thinking pays the most attention to two points:
One is the sense of step, that is, to finish thinking step by step, not to skip a step, to follow the development law of things and problems, and to draw phased conclusions. For example, now a child is doing a math application problem: "Xiao Ming can jump 140 times per minute", and the brain subconsciously knows "I know his frequency per minute." No matter what you ask after the question, you will come to a conclusion if you read one sentence early, and you will reach the end of the answer if you follow the road.
The second is to establish a model. There will be many model diagrams in class, such as pie charts, line charts, bar charts and so on. Think with given conditions and build a simple model.
Reverse thinking
Sometimes, when children can't find the entrance, it's better to think backwards. Ok, for example, let the child fill in the operation symbol in the middle of 1 2 3 4 5 =6 to make the equation hold.
If you follow it, it will be like 1 to 5. How can it become 6? It might be a little difficult. I don't know where to start. So since the result is only 6, it is better to think backwards. The previous 1234 will get a result, and the operation of 5 will get 6, so it is easy for children to know that 1+5=6, so just add the previous 1234 to one. It is quite simple for four numbers to form a result, and by analogy, you can find the answer backwards.
Orderly thinking
Ten identical peaches are put in four identical baskets. How many ways are there?
Maybe children will find it very simple when they listen, but it will be very confusing if they don't say it in order, and they can't list all the ways. Teach children to think in a certain order from childhood, and be careful not to miss an answer.
This topic is very plastic and stimulates children's mathematical thinking. We can also ask "Put ten identical peaches in four different baskets". This is also an association. I don't advocate sea tactics, let children learn logical thinking and relevance. Mathematics is actually constantly changing. It doesn't matter how the numbers change as long as the thinking is correct.
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conventional
The best way to learn mathematics is to find rules from it, so that children can become an instinct to find rules. Well, if you see 1, you will naturally think of 2.
Finding out the law is not only a mathematical problem, but also a scientific learning spirit and method. By superimposing children's own knowledge for active thinking, children's logical thinking ability and digital sensitivity are enhanced.
Think of a simple question in elementary school:
15、 10、 13、 10、 1 1、 10 、( )、( )、 7、 10
The answer is 9 10. I wonder if you are right.
In my opinion, orderly thinking and regular thinking are the two most commonly used ways of thinking in mathematical thinking. After we know all kinds of different mathematical problems, we still have the ability to discover laws, so mathematics is no longer a hell for children.
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How should parents cultivate their children's mathematical thinking ability from an early age? Don't just count 123!
Turn abstraction into concreteness and let mathematics return to life.
Mathematics is abstract, so let's not just let it stay in the temple. In fact, life is full of mathematics. Parents will find that the most primitive appearance of mathematics can be seen everywhere.
Good example: buy three catties of cabbage and get one catty of potatoes today, with a 50% discount on the sale, and get them over 599 100, and so on. To turn abstract mathematics into concrete in class, you can ask your child: Do you think this is cost-effective? Can you help me calculate how much money I need after the discount?
Let children get in touch with the specific mathematical environment from an early age, guide and cultivate their mathematical thinking ability, and will not be disgusted with abstract mathematics that is difficult to understand!
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Let children learn to ask questions freely.
Parents in China usually ask their children after school: Are you obedient at school today? As for Jewish families that have trained many Nobel Prize winners, they will ask: Did you ask questions at school today?
Free questioning is not only to test whether children understand this knowledge point, but also to test whether children are willing to explore this question in depth. Don't limit yourself to one point, guide the children to ask whatever they want.
For example, "Mom, why can fish live in water and we can't?" "Because fish have gills that can absorb oxygen in water, and we don't. We only have lungs and can only absorb oxygen in the air! "
"Mom, does one plus one make one?" "Sometimes it is not necessarily true. Need specific analysis of specific problems. Do you think a pile of sand plus a pile of sand or a pile of big sand? "
Let children think with mathematical thinking mode and learn the ability of organizing language.
Parents ask their children more open questions.
Open-ended questions not only answer yes and no, but let children answer with their own ideas and language.
"Can you list all the possibilities?" "Do you think this is appropriate?" "Think again, is there any other way?"
It is no longer a polite answer to let children open their brains to the maximum extent and release innovation with such free and open questions. Positive or negative thinking logic, let children find out the same rules of different affairs, which is our ultimate goal.
If children are only allowed to improve their math scores, then the foundation of their math thinking ability will not be solid. In the future, children will be like a drowning fish when they face difficult math and science in junior and senior high schools. Exercise thinking mode is a long-term deployment, which determines the future height of children.