How to Cultivate Students' Mathematical Modeling Thinking
Mathematical modeling, high school mathematics and applied mathematics all come from real life, and solving problems in real life involves how to turn practical problems into mathematical problems. Mathematics is the study of models. In senior high school mathematics, application problems are most closely related to real life, which is a microcosm of practical problems. Solving problems is mainly manifested in establishing mathematical models. In the teaching of mathematical application problems, if the lever of mathematical modeling can be well used, it can not only improve the speed of solving problems, but also cultivate students' innovative ability and thinking ability. Mathematical modeling will not happen overnight. Teachers should guide students to observe and analyze any problems with mathematical thinking, and then abstract familiar mathematical models from complex concrete problems, so as to solve problems. Through teachers' long-term mathematical modeling thoughts, students' mathematical modeling consciousness is cultivated imperceptibly, students' interest in learning mathematics is stimulated, and their mathematical modeling ability is improved. Mathematical model problem-solving runs through the whole teaching process, from primary school to university without exception. Mastering and using mathematical modeling skillfully is the key to cultivate students' ability to analyze and solve problems by using mathematical knowledge. Only when students fully understand the meaning of the problem can they gain insight into the main points and intentions of the problem, and finally, through the simplification and introduction of variables, they can transform the actual problem into a mathematical expression and form a mathematical model idea. Only when the abilities in all aspects are strengthened can we draw inferences about knowledge. As the saying goes, "it is better to teach people to fish than to teach them to fish."