Specific Method how to Solve Selected Stereometry Tasks in Educational Process

摘要

The National Curriculum for Upper Secondary Education in Slovakia (ISCED 3A) specifies the educational content standards and lesson quantity. We introduce that in the thematic domain of Geometry and Measurement, students have to explore and discover planar and spatial figures. Solving the aforementioned positional and metric geometry tasks requires a considerable level of spatial and geometric imagination. Several Slovak and Czech researchers in this field concur in the opinion that spatial imagination can be intentionally and purposefully developed under the influence of several factors, particularly by using different methods, strategies and appropriate forms of visualization. In our paper we analyze the conclusions of Slovak and Czech mathematics teachers and experts in didactic of mathematics. The reason, why compare studies Czech and Slovak experts together, is simple. More than 72 year common history and existence of one state affects education and teaching standards, which remain to this day analogous. Based on conclusions these experts we present our original method how to solve specific position and metric stereometry tasks, too. This method we call “add the cube” and with regard to the aspect of visualization, we emphasize the use of a suitable geometry software Cabri 3D.