1, choose the application problem "Modeling" around the students.
In mathematics teaching, we should be good at choosing the problems around students, so that students can learn and master knowledge in life. Real life materials can stimulate students' interest in thinking about mathematical problems, and they will realize that there are rich mathematical problems hidden in real life, which will help students pay more attention to mathematical problems in life. For example, there is an application problem of linear equation: it takes 2 hours for a ship to travel downstream from Terminal A to Terminal B; It takes 2.5 hours to travel upstream from pier B to pier A, and the current velocity is known to be 3 km/h, so the average speed of the ship in still water is calculated. Many students have never been on a boat, so it is difficult for them to understand the speed of sailing with the current, against the current and against the current. In order to make students understand, I asked students to combine their own personal experience of cycling (most students go to school by bike). Riding with the wind feels easy, riding against the wind feels hard, which is the influence of wind speed. Then tell the students that sailing boat and bicycle are the same thing, and the different factors that affect it are the speed of water flow and wind speed. In this way, students can easily understand the problem of sailing against the current. Through teaching practice, it is found that choosing examples with life experience as "mathematical modeling" is more helpful to help students master knowledge and improve their analytical ability of applied problems.
2. Help students to "model" on the basis of understanding the background and its mathematical principles.
The background materials of application questions come from the reality of social life. Simple application problems have simple background and direct language, which makes it easy for students to understand how to examine the problems, straighten out the quantitative relationship, and easily establish mathematical models, laying the foundation for solving more complex application problems, bringing students the experience of solving problems successfully and enhancing their confidence in learning application problems. In the teaching of practical problems, teachers often use simple questions to pave the way for students to learn to analyze background materials and further understand complex background materials.
3. Make all kinds of preparations for the teaching of application problem "modeling".
In teaching, teachers should be good at discovering the themes in real life and skillfully combine the training of various knowledge points to compile some practical problems related to production and life, such as environmental protection and water saving. Efforts to carry out various forms of mathematical practice activities can not only stimulate students' interest in learning, but also help students pay more attention to society, solve problems in real life with their mathematical knowledge and become a person with a mathematical mind.
Today, with the smooth implementation of the new round of curriculum reform and the emphasis on the all-round development and improvement of students' abilities, it is very important to better cultivate students' ability to use mathematical knowledge to solve applied problems. As a math teacher, we should constantly explore new teaching modes according to the characteristics of subject teaching and applied problem teaching, so as to promote the improvement of students' problem-solving ability and improve their comprehensive quality of mathematics.