Mathematical modeling is the whole process of explaining practical problems, accepting practical tests and establishing mathematical models through calculation results.
When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and language to establish a mathematical model on the basis of in-depth investigation, understanding of object information, making simplified assumptions and analyzing internal laws.
Mathematical model is a kind of simulation, which uses mathematical symbols, mathematical formulas, programs, graphics and so on to describe the essential attributes of practical topics abstractly and concisely. It may explain some objective phenomena, or predict the future development law, or provide an optimal strategy or a better strategy in a sense to control the development of a phenomenon. Generally speaking, mathematical model is not a direct copy of real problems, and its establishment often requires people to observe and analyze real problems in depth and carefully, and also requires people to use all kinds of mathematical knowledge flexibly and skillfully. This process of abstracting mathematical models from practical problems with applied knowledge is called mathematical modeling.
No matter what practical problems in the fields of science, technology and production are solved by mathematical methods, or combined with other disciplines to form an interdisciplinary subject, the first and key step is to establish a mathematical model of the research object and calculate and solve it (usually with the help of a computer); Mathematical modeling and computer technology play a more powerful role in the era of knowledge economy.
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.