Abstract: With the continuous development and progress of our country, higher requirements are put forward for the education industry. At present, the new curriculum and quality education are widely popularized in schools, which has promoted the development of education in China. Mathematics is a very important subject in junior high school, which is called "gymnastics of thinking". It can be seen that learning mathematics well plays an important role in the development of students' ability. However, the actual teaching situation is not satisfactory. Students are not interested in mathematics and think that mathematics is boring and the learning effect is not good. Therefore, it is necessary to cultivate students' awareness of mathematical model and make plane knowledge three-dimensional, so that the teaching effect is very good.

Keywords: mathematical model thinking training

Junior high school mathematics is very difficult for junior high school children. Therefore, in order to improve students' interest in learning and visualize knowledge, we should cultivate students' mathematical modeling thinking. The common modeling methods in junior high school mathematics include: establishing a periodic equation model (inequality model) for the common equivalent relationship (inequality relationship) in real life, establishing a functional model for the common variable relationship in real life, and establishing a geometric model for those knowledge involving graphics. These contents are very important. The teaching of mathematical modeling in junior high school conforms to the idea of new mathematics curriculum reform and the requirements of quality education. Through modeling teaching for students, students can understand and master mathematical knowledge and methods more deeply, make their senses more agile, better cultivate their awareness of applied mathematics and their spirit of autonomy, cooperation, exploration and innovation, and truly become the main body of learning. This paper explores how to cultivate students' mathematical modeling ideas under the new curriculum standard, and the relevant contents are introduced as follows:

First of all, the concept of equation

The new curriculum standard requires that the corresponding equations be listed according to the quantitative relationship in specific problems, which is an effective mathematical model to describe the real world. The application of equation model in junior high school mathematics teaching requires us to start with the quantitative relationship of the problem, apply relevant mathematical language, transform the conditions in the problem into equations (groups), and then solve the listed equations (groups) to get the results. For example, the school is going to build a 50-square-meter rectangular bicycle shed behind the library, and the back wall of the library can be used. It has an iron fence with a total length of 25 meters. Would you please design how to build a bicycle shed? This question examines whether students can better understand the basic quantitative relationship under the background of real life. Obviously, the idea of using equation is to express the unknown quantity in the form of letters, and then establish the corresponding equation with the known quantity, which embodies the coordination and unity of the unknown quantity and the known quantity. Therefore, when establishing the equation model, teachers should pay attention to cultivating students to correctly find the known and unknown quantities in the problem and accurately establish the relationship between them. With the continuous development of society, the field of education has also developed well. In the exam, mathematical propositions pay more attention to social hot issues, and all the familiar situations in real life have appeared.