The first is the sense of number. That is, the cognitive ability of numerical and algebraic objects and operation results, including the ability to correctly identify and understand the meaning of numbers and symbols, can be observed and tested.
, guessing, reasoning and other methods to perceive numbers.
The second is the sense of symbol. That is, the ability to understand the meaning of symbols, including the ability to understand the relationship between symbols and operation objects and the ability to understand the meaning of operation results.
The third is reasoning ability. That is, the ability to understand the relationship between mathematical objects and operation results, including the ability to reason reasonably according to existing facts or data, and the ability to explain the reasoning process and results.
The fourth is computing power. That is, the ability to correctly express and strictly prove algebraic objects and operation results, including the ability to express things with algebraic expressions and geometric figures.