Mathematics And Its Application Research In The Triangle

With the implementation of the new curriculum concept, mathematics teacher noted the important role of life-oriented mathematics teaching. Mathematics was created by human and could be used in real life word. As a result, life-oriented mathematics has a positive sense to many areas. Although mathematics as an abstract subject, the teaching process, focus on life-oriented at the same time must pay attention to mathematization, and will further enhance the students’ mathematical thinking. Mathematics as a human activity, we should teach and learning it by mahematization. Mathematization attach great importance to students’realistic mathematics education,attach importance to a series of practical and thinking activities, attach importance to create mathematical knowledge from activities. This mathematical idea, which is entirely from the reality of mathematics teaching, it is an important reference for our mathematical teaching. This article attempts to analyze mahematization and the embodiment in mathematical textbooks, in order to have a deep understanding of mathematization.This article comprised of six sections. The first section is preface. It’s about the reason, the current situation, the major problem and methods of this research. The reason of this research is based on curriculum standard and teaching practice, in order to explain the necessity of mathematization. The second section is the connotation and analysis of mathematization. This section attempted to define connotation of mathematization, at the same time, analyze the characteristics and value of mathematization. Then I sum up four characteristics of this mathematical idea and analyze the value from third dimensions. On this basis, this paper fully illustrated the importance of this study.The third section is strategy research on mathematization. This thesis proposed a new classification method, which divided mathematization into two arrangements---abstraction of experience material and organization of mathematical knowledge. Further, this thesis divided abstraction of experience material into two parts:according to external abstraction point and according to internal level of thinking; divided organization of mathematical knowledge into two parts:organization between explicit knowledge and organization between implicit methods. At the same time, this thesis illustrated each classification.The forth section is the embodiment of mathematization in triangle. Taken triangular of space and graphics module, analyze its arrangement system in textbook. Based on students’ cognitive characteristics and teaching materials, we divided this arrangement system into five stages of learning. At the same time, we analyze the manifestation of mathematical in this module.The fifth section, the author came up with four teaching advices for mathematical teachers: proper understanding of the necessity of mathematical; critically use the textbook; promoting process step by step; strengthen the reflection of students.The last section, but not the least, is the conclusions of this study. In this section, the achievements and shortcomings of this study were stated. At the same time, the author presented some unsolved problems, in order to improve on the issue.