The six qualities of mathematics include mathematical abstraction, logical reasoning, mathematical modeling, mathematical operation, intuitive imagination and data analysis. Mathematical abstraction is the basic idea of mathematics, which makes mathematics a highly generalized, accurate, universal and orderly multi-level system. Logical reasoning is an important way to obtain mathematical conclusions and build a mathematical system, a basic guarantee of mathematical rigor, and a basic thinking quality for people to communicate in mathematical activities.

Mathematical operation: operation, mathematically speaking, operation is the act of obtaining a new quantity through possible combinations of known quantities. The essence of operation is the mapping between sets. Generally speaking, operation refers to algebraic operation, which is the correspondence in a set. For a pair of elements A and B taken out in sequence in set A, there is a unique third element C corresponding to it in set A, which is called an operation defined in set A. From this operation, two operations can be obtained, that is, one of A and B is expected and C is known. The operation thus obtained is called the inverse operation of the original operation.

Mathematical model builds a bridge between mathematics and the outside world and is an important form of mathematical application. Mathematical modeling is the basic means to solve practical problems by applying mathematics, and it is also the driving force to promote the development of mathematics. Mathematical model mainly includes: finding problems, putting forward problems, analyzing problems, establishing models, solving conclusions, verifying results and improving models in actual situations, and finally solving practical problems.

Intuitive imagination is an important means to discover and put forward mathematical problems, analyze and solve mathematical problems, and it is the thinking basis for exploring and forming argumentation ideas, logical reasoning and constructing abstract structures. Mathematical operation is the basic form of mathematical activities, a form of deductive reasoning and an important means to obtain mathematical results. Mathematical operation is the basis for computer to solve problems.

Data analysis is the main method of mathematics application in the era of big data, which has penetrated into all aspects of modern social life and scientific research. In the process of forming the core literacy of data analysis, students can improve their data processing ability, enhance their awareness of expressing real problems based on data, develop the habit of thinking through data, and accumulate experience in exploring the essence, correlation and law of things based on data.

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