How to understand the abstraction and concreteness of mathematics

Abstraction can be summarized as the following three points:

(1) Not only mathematical concepts are abstract, but also mathematical methods, and abstract symbols are widely used.

(2) Mathematics is abstracted step by step, and the next abstraction is based on the previous abstract materials.

(3) A high degree of abstraction must have a high degree of generalization. If you want to know more about it, you can read the book Introduction to Middle School Mathematics Teaching.

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