First of all, solve the first question: how to improve children's mastery of mathematics knowledge points?
Mathematics is a very abstract subject, which refines the real world into concise numbers or symbols. Not to mention children, it is difficult for most adults to really understand concepts like calculus.
The integration of mathematical knowledge points means that new neural circuits need to be established in children's brains, and the connections between neurons should be very smooth.
There is only one secret: repetition. By memorizing the knowledge point, we can understand it when it fails, and we can skillfully use it to solve problems in different scenarios.
Suggested method: strengthen training. Learn a new knowledge point, let the children recite it and do a lot of related exercises.
Then, let's solve another problem: how can we master the problem-solving method skillfully?
The problem-solving method is actually a combination of different knowledge points. For example, to prove that a quadrilateral is actually a square, it may be necessary to prove that "its four sides are equal and parallel to each other".
If a child wants to master the problem-solving method skillfully, he can't cross the sea of questions, because he made a mistake, so you should tell him where he made a mistake and improve it accordingly next time.
Suggested method: Let the children write down their ideas for solving problems every time. Yes, you are right. Let him write it down. Then you can check what's wrong with his thinking.
Regarding the doubts about learning and growth, welcome to pay attention to my official WeChat account: sightseeing after 90, I will wait for you.