A Plan of Geometry for 7th Graders : Series and Structure of Activities Toward Geomertical Logic

Abstract

In Japan, geometry for 7th graders is treated as a preparation for formal (in a relative sense) geometry. But what is, or, what should be the preparation is a problem for which there can hardly be seen an effective answer in the long history of mathematics teaching. From the viewpoint of the histories of sciences, we can find the steps towards formalizations of their systems. These are 1) Gathering examples 2) Making a catalog or an order 3) Trial to find laws 4) Building its system. Formal geometry is for 4). We should focus on 1)-3) as the geometry for 7th graders. In this article, the concrete examples of class activities will be given.