抄録
It has been an important subject how we plan to establish the relationship between mathematics and other fields in the mathematics education. In such practice, we assert that it is important to have some practical viewpoint which is significant mathematically and also integrates some common aspects often appeared in other fields. In this paper, we call the realizations of graphs in space the frames, and study the movement of frames as a teaching material of figures. The movement of frames is considered as a mathematical model of various mechanical devices, and thus it is used as such viewpoint to understand the utilities of mathematics realistically. We show rich contents of the frame movement as teaching material by two concrete models. One of them is the movement of linkwork, and to clarify the principle of the movement of linkwork of four links needs the practical use of integrated mathematics. Also, to clarify and apply the principle of the line movement of a linkwork becomes a good teaching material to learn how mathematics is important in such process. Another of concrete materials is the movement of the frame composed of squares arranged rectangularly, which is a mathematical model of the stability in the framework of building. The material has a new aspect of mathematics problem mathematized from the realistic situation, and it is an appropriate one to show a harmonic relationship between the theory of vector spaces and that of graphs and also to learn the dimension of the movement of figures.
