By Yuefei Su, CEO of Amath
The core elements of mathematics include six aspects: mathematical abstraction, logical reasoning, mathematical modeling, mathematical operations, intuitive imagination, and data analysis.
Mathematical abstraction is the basic idea of mathematics and an important foundation for forming rational thinking. It reflects the essential characteristics of mathematics and runs through the process of the production, development and application of mathematics.
Logical reasoning is an important way to obtain mathematical conclusions and construct a mathematical system. It is the basic guarantee of mathematical rigor and the basic quality of thinking for people to communicate in mathematical activities.
The mathematical model builds a bridge between mathematics and the external world, and is an important form of mathematical application. Mathematical modeling is the basic means of applying mathematics to solve practical problems.
Mathematical operations are the basic form of mathematical activities, as well as a form of deductive reasoning, and an important means of obtaining mathematical results. Mathematical operations are the basis for computers to solve problems.
Intuitive imagination is an important means of discovering and raising mathematical problems, analyzing and solving mathematical problems, and is the thinking basis for exploring and forming argumentation ideas, conducting logical reasoning, and constructing abstract structures.
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.