In this paper we describe how, starting from our experience of Geometry’s teaching in two different academic contexts (mathematic and drawing), we identified together common didactics tools in order to educate the reading of the geometric shapes and their properties with particular attention to the architectural cases. To do this we use 3D models (for example origami models) and gaming activities, both with students and with trainers and our lessons are held not only in the classroom but in public places such squares or cultural sites. Today, we use our teaching idea to train the trainers to understand how to teach geometry in each kind of school level in a new way, using a tangible geometry.