Abstract:

Teaching Monge projection at any level of schools is very challenging, especially in terms of geometric and spatial imagination. The Monge projection maps an object from three-dimensional space onto two mutually perpendicular projections, which are then folded into a plane with z=0 . Students are very good at the basic problems after the basic course, but the problem of intersections and intercepts of two planar figures is also difficult from a stereometric point of view. Overall, the student needs to know the basic constructions and to apply the rules of visibility of planar figures in Monge projection.Moreover, finding the intersection or intersection of two plane figures is problematic. The aim of this paper is to present the possibilities of teaching this problem using GeoGebra and augmented reality. Augmented Reality (AR) is a phenomenon of recent years, especially within the gaming industry, which has reacted very quickly and developed games that are accessible to the general gaming public. It is very often confused with the term virtual reality. The GeoGebra software team has developed augmented reality usable in mathematics education and one of the early promoters was Tim Brzezinski. One of the pitfalls of using AR is the orientation of the coordinate system relative to the orientation of the Monge projection.

Keywords:

GeoGebra, Monge projection, Augmented reality, intersection.