That is, through the process of abstraction, simplification, hypothesis and introduction of variables. The practical problems are expressed by mathematics, the mathematical model is established, and then advanced mathematical methods and computer technology are used to solve them.
Mathematical modeling comprehensively applies all kinds of knowledge to solve practical problems, which is one of the necessary means to cultivate and improve students' ability to apply what they have learned to analyze and solve problems.
Mathematics education should not only teach students mathematical knowledge, but also teach students to use what they have learned to solve practical problems. In view of the clear learning characteristics of the comprehensive department of junior college, teachers should be good at modeling the conceptual laws and problem-solving methods of mathematics in teaching, so that students can master the basic knowledge of mathematics and apply it to solve problems in life and production.
modeling process
1, model preparation
Understand the actual background of the problem, clarify its practical significance, and master all kinds of information of the object. The essence of the problem is contained in mathematical thought and runs through the whole process of the problem, and then the problem is described in mathematical language. Requirements in line with mathematical theory, in line with mathematical habits, clear and accurate.
2. Model assumptions
According to the characteristics of the actual object and the purpose of modeling, the problem is simplified with accurate language and some appropriate assumptions are put forward.
3. Model structure
On the basis of assumptions, use appropriate mathematical tools to describe the mathematical relationship between variables and constants, and establish the corresponding mathematical structure (try to use simple mathematical tools).
4, model solving
Using the obtained data, all parameters of the model are calculated (or approximately calculated).
5. Model analysis
The idea of establishing the model is expounded, and the results are analyzed mathematically.
6. Model test
The model analysis results are compared with the actual situation to verify the accuracy, rationality and applicability of the model. If the model is in good agreement with the actual situation, the practical significance of the calculation results should be given and explained. If the model is not consistent with the actual situation, it is necessary to modify the assumptions and repeat the modeling process.