The view of life mathematics corresponds to the view of scientific mathematics. As scientific mathematics, it is abstract symbolic mathematics, and logic and reasoning are used more. Mathematics, as a life, is often a kind of mathematics with empirical symbols, and language and intuition are used more. Because mathematics as life refers to informal mathematics that exists in life practice activities, and it is mathematics that people get communication and understanding in time activities of social life.

Children's views on mathematics are consistent with those of adults. The mathematics we understand often refers to an adult, pure form of mathematics, a mathematics developed from the kilometer system through very strict logical deduction, and a mathematics learned to understand the mathematical world.

The viewpoint of realistic mathematics corresponds to that of pure mathematics. According to the viewpoint of scientific structuralism, mathematics itself is an organized, rigorous and closed deductive system, which is called pure mathematics.