The difference between mathematical vision and mathematical observation: mathematical vision is mainly mathematical abstraction, while mathematical observation is mathematical ability. Mathematical vision is mainly mathematical abstraction. The research object of mathematics and the terms describing the nature, relationship and law of the research object are abstract mathematical symbols. These abstract mathematical symbols come from the real world, from people's experience and are the result of abstract mathematical thinking. Mathematical observation is an important mathematical ability put forward in the new curriculum standard, which students should have. It is students' unique keen perception ability when observing mathematical phenomena and problems. Therefore, in primary school mathematics teaching, teachers must attach importance to cultivating students' mathematical observation habits.