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How to help students build mathematical models
Through learning, I really understand that the so-called mathematical modeling is a mathematical expression of practical problems, a bridge and link between basic mathematical knowledge and practical application of mathematics, and a mathematical structure expressed in mathematical language according to the characteristics of practical problems. In my opinion, to carry out mathematical modeling activities, we should pay attention to the process of modeling, not just the results. Therefore, we should pay special attention to cultivating students' thinking ability and creativity. Through this special study, I realized that helping students build mathematical models to solve problems has a multiplier effect on students' mathematics learning. Therefore, in primary school mathematics teaching, teachers should change their ideas, innovate classroom teaching mode and deal with teaching problems from the perspective of modeling. & ltXML namespace prefix = " o " ns = " urn:schemas-Microsoft-com:office:office "/& gt; 1. Extracting valuable mathematical information from real life is the basis of establishing a model and the need to solve practical problems. Teachers should pay attention to students' existing mathematical experience, create reasonable situations, effectively design mathematical problems from students' lives, and stimulate students' interest in thinking about mathematical problems. Cultivate students to correctly extract valuable mathematical information from life. Extracting mathematical information is the basis and premise to help students build mathematical models. 2. Analyze mathematical information to obtain quantitative relations. On the basis of students' preliminary understanding of the relationship between meaning and quantity, teachers guide students to draw known information and problems in a variety of ways, such as the combination of numbers and shapes and line drawings, so that students can have a deeper understanding of the relationship between meaning and quantity. Only in this way can students solve problems more smoothly. Sort out and summarize the strategies and methods of solving mathematical problems. Starting from the problem, collect and sort out the mathematical information needed for the problem, understand what to ask and how to ask, so that students can master the thinking of solving mathematical problems. 3. Expand the application, pay attention to the application of mathematical model in solving practical problems, so as to infiltrate the consciousness of mathematical application into the whole daily teaching, let students perceive the dependence between the characteristics or quantities of something in a multi-dimensional and all-round way, help students pay more attention to the mathematical problems in life, and provide the possibility for the accurate construction of mathematical model. 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.