Teaching Research Of The Concept Of The Plane Based On Historical-genetic-principle

How to deal with some of the math teaching difficult content, it has taken various measures to. One measure is the use of the Historical-genetic-principle, and the many initiatives in recent years more and more attention of scholars. Consider the Historical-genetic-principle: at a certain extent on the learner to repeat the mistakes our predecessors, that is, today's students study at Medium barriers met with their predecessors in the same study the contents of the obstacles encountered are similar to. Therefore, we can on the basis of the history of math difficulties and cognitive dysfunction of today's teaching difficult to predict, which means a reasonable selection of mathematics to optimize the design.Plane concept is a three-dimensional geometry is not the definition of the basic concepts of one study are the basis of three-dimensional geometry. However, the concept of teaching, teaching is a difficult over the years, the students understanding of the concept of planar significant differences exist. This paper attempts to happen to the Historical-genetic-principle for the theoretical basis, drawing on the historical development of the concept of planar process, from the perspective of the history of mathematics teaching the concept of the design plane to try to solve the problem of students studying at the concept of the process of planar recognize prevailing difficult. First of all, from a theoretical level and happened onto a deep understanding of the Historical-genetic-principle, find it at on the theoretical basis of psychology.Followed by the first use of the questionnaire 1 questionnaire 2 and know the status of teaching the concept of planar results showed that: students grasp the concept of the plane there are major problems, not as we imagined, as well; teachers on the plane at the concept of teaching and learning process is almost the same of. This makes the subject of research is necessary, necessary to design a new perspective of teaching the concept of plane, with a view to studying the concept of breakthrough plane difficult.Third, access to relevant information to understand the concept of planar process and the history of the development of the concept of our predecessors on the plane difficult recognize. Through the questionnaire 3 survey results showed: Contemporary students understanding of the concept of the plane up with the history of Parmenides, heron, Leibniz, Gauss, W. Boylia, J. Boylia views are similar, students try to use a variety of ways to explain the plane's "ping", "direct"property. In order to verify "on the plane concept is concerned, students of cognitive processes of historical similarity of the characteristics,Historical-genetic-principle is established."Finally, according to students on the concept of cognitive plane difficult: how to describe the plane the "ping" features, combined with the concept of planar predecessors in the development of the concept of planar recognize the way of thinking, from the perspective of a straight line to the concept of teaching graphic design.The final chapter of this study are summarized and reflection.This article from the perspective of the history of mathematics for teaching difficult breakthrough provides a small measure, and validate the principle of history happened, and happened to use the principle of the design of the teaching of history provides the basic steps, while laying the emphasis on "simple" concept cognitive attention.