Mathematical modeling is to establish a mathematical model according to practical problems, solve the mathematical model and solve practical problems according to the results. On the basis of in-depth investigation, understanding information, making assumptions and analyzing laws, a mathematical model is established with mathematical symbols and languages. The modeling process includes model preparation, model hypothesis, model establishment, model solution, model analysis and model verification. Mathematical modeling takes students as the main body, and teachers design questions to inspire and guide students to actively study and discuss.
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 (mathematics? Model) is a kind of simulation, which is an abstract and concise description of the essential attributes of practical topics with mathematical symbols, mathematical formulas, programs and graphics. 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. The process of abstracting mathematical models from practical problems by using knowledge is called mathematical modeling.