Study On Teaching Value Of Structural Triangle

Structural method is a classic mathematical way of thinking. And structural triangle is a very important part of mathematical structural thought method. Nowadays, in Chinese junior high school, the research and reform of mathematical education require the teaching way of penetration in mathematical thought method. It is important to pay attention to the cultivation of students’thinking and stress the teaching process. Nevertheless, the research on triangle structural method developed by the teaching is very rare at home and abroad. Therefore, from the structural triangle which involves mathematical knowledge and mathematical thought method, this article focuses on the teacher value of the structural triangle.This paper first analyzes the domestic and foreign research history of the structural method. It combines the structural method with the correlation theory on problem-solving teaching to put forward the research of structural triangle teaching value. Then it summarizes the general principles, ways and methods of the structural triangle. According to the characteristics of tectonic model and the psychological characteristics of the student to study, the fourth chapter from the angle of teaching to elucidate the triangle structural method studies the concrete implementation process of the triangle structure from two aspects "shape to shape" and "number to shape", and focuses on the analysis of "the way how to find to structure" and "the reason to structure in this way’On account of the theory of structural triangle, the fifth part provides two cases of the teaching design about the structural triangle, aiming to study how to select materials, inspire and guide students to participate in problem solving, then ultimately let the students learn how to structure. This paper from the actual case analysis gives some suggestions to carry out the structural triangle teaching as a teaching reference for the mathematics structural method in middle school.