Modeling a cube using GeoGebra

Author:
luisfe
From Model-Centered Learning (Pathways to Mathematical Understanding Using GeoGebra) Modeling and Simulations for Learning and Instruction, Volume 6, 2011, pp 119-131. SensePublishers DOI 10.1007/978-94-6091-618-2_9 Online ISBN 978-94-6091-618-2 Modeling the Cube Using Geogebra José Manuel Arranz, Rafael Losada, José Antonio Mora, Tomas Recio, Manuel Sada Abstract This chapter presents the context, main concepts, and difficulties involved in the construction of a GeoGebra model for a 3D-linkage representing a flexible cube: a cubic framework made up with bars of length one and spherical joints in the vertices. We intend to show how this seemingly easy task requires the deep coordination of (dynamic) GEOmetry and (computational) alGEBRA, that is, of the specific features of GeoGebra. Finally, the chapter highlights the excellent opportunities to do mathematics when one attempts to solve the many different challenges that arise in the construction process.