For example, how to understand the theorem that the sum of two sides of a triangle is greater than the third side? It is a direct inference of "the shortest line segment between two points". Imagine a puppy at the top of a triangular pond. If you throw a bone at another vertex, the puppy must go one way to pick it up, not two.

Another example is three people on the phone: Xiao Ming has questions and wants to ask his grandfather for knowledge. If you tell him, Xiao Pang will call twice. Xiao Pang will tell Xiao Ming the mobile phone number of Grandpa Knowledge, and Xiao Ming will only ask to make a phone call once. Compared with the last example, this example also abstracts the triangular trilateral relationship into the relationship between three people, which is the embodiment of abstract ability.

Question and answer discussion method

There must be a reason for a good problem solving method! Children generally know how to use this good method, but rarely think about why this method is good, or even when to use it. This is why children always "listen, do and fail"!

Parents can ask their children questions about good methods, mainly in two aspects:

1. What problem is this method used for?

2. What are the advantages of using this method?

For example, children know that factorization is particularly useful, but few children know what factorization is used for and why factorization is a good method.

In fact, factorization is very useful because it is essentially the decomposition of polynomial degrees, which is a typical method of reducing degrees, and reducing degrees is the core problem in algebra! So factorization is often used in quadratic and above algebraic problems.

Learn to reflect.

The process of reflection is to examine one's own thinking process. Through reflection, summarize the problems you have done and find out the differences and differences of the problems so as to use them flexibly. There are two feasible strategies for children to learn to reflect:

Small teacher system: from the topics done in a week, let the children choose the most impressive topics to be small teachers and explain them to their parents. In this process, children should first review the whole process of solving problems and find out the key points; Secondly, the language must be logically arranged in order to speak fluently. Finally, this form can also enhance children's interest and confidence.

"Lazy" system: There are many workbooks that classify topics according to topics or questions. If this classification is just a hard brush, it will form a "tendency" to solve problems with routines. You can reach an agreement with your child. In similar topics, if she tells the general points of these topics, even the core thinking methods, you can not do such topics. Parents who are good at math can even choose their own topics, making it more difficult for children to identify characteristics.