Model preparation: understand the actual background of the problem, clarify its practical significance, and master all kinds of information of the object. Describe the problem in mathematical language.
Model hypothesis: according to the characteristics of the actual object and the purpose of modeling, simplify the problem and put forward some appropriate assumptions in accurate language.
Modeling: On the basis of hypothesis, use appropriate mathematical tools to describe the mathematical relationship between variables and establish the corresponding mathematical structure.
Modeling application
Mathematics is a science that studies quantitative relations and spatial forms in the real world. In the long history of its emergence and development, it has always been closely related to various application problems. The characteristics of mathematics lie not only in the abstraction of concepts, the rigor of logic, the clarity of conclusions and the integrity of systems, but also in the universality of applications.
Since the 20th century, with the rapid development of science and technology and the increasing popularity of computers, people's requirements for various problems have become more and more precise, making the application of mathematics more and more extensive and in-depth. Especially in the era of knowledge economy in 2 1 century, the position of mathematical science will change greatly, and it is moving from the reserve of national economy and science and technology to the forefront.
With the globalization of economic development, the rapid development of computers and the continuous expansion of mathematical theories and methods, mathematics has become an important part and think tank of contemporary high technology and a technology that can be universally implemented. Cultivating students' consciousness and ability of applying mathematics has become an important aspect of mathematics teaching.