With the development of global economy and the rapid development of computers, it is particularly important to solve mathematical problems with computers and then solve practical problems with mathematics, and mathematical modeling is to solve practical problems with computers and mathematics. This paper discusses the importance of mathematical modeling in the application of modern mathematics from four aspects, and expounds in detail the application of mathematical modeling in life and how to carry out the teaching of mathematical modeling in school education. Through the deep discussion on the concept, importance, application and training of mathematical modeling ability, it is concluded that mathematical modeling is a bridge between mathematical theory and life practice, which makes people see the value of mathematical modeling and realize the important position and role of mathematical modeling teaching in modern education.

Keywords: mathematical modeling; Comprehensive quality; Teaching; Mathematical application

(A) the concept of mathematical modeling

Mathematical modeling is very extensive and simple, and it has always been closely related to life and study. For example, when learning middle school mathematics courses, the mathematical equation listed according to the known quantity of application problems is the simplest mathematical model, and the process of solving the equation is to carry out simple mathematical modeling. Mathematical modeling is a method to solve various practical problems by applying mathematical models. That is to say, by abstracting and simplifying practical problems, determining variables and parameters, and applying some "laws" to establish variables and parameters, we can solve mathematical problems with deterministic mathematical problems (also called mathematical models) and explain the verified solutions, so as to determine whether they can be applied to multiple cycles of solving practical problems and deepen the results continuously. It is a bridge to solve various practical problems by mathematical methods.

(B) the ideological connotation of mathematical modeling