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Development of automatic reasoning tools in GeoGebra

Abstract: Much effort has been put into the implementation of automatic proving in interactive geometric environments (e.g. Java Geometry Expert, GeoGebra). The closely related concept of automatic discovery, remains however almost unexplored. This software presentation will demonstrate our results towards the incorporation of automatic discovery capabilities into GeoGebra, an educational software with tens of millions of users worldwide. As main result, we report on a new command, currently available in the official version, that allows the automatic discovery of loci of points in diagrams defined by implicit conditions. This represents an extension of a previous command, similar in nature, but restricted to loci defined by the standard mover-tracer construction. Our proposal successfully automates the 'dummy locus dragging' in dynamic geometry. This makes the cycle conjecturing-checking-proving accessible for general users in elementary geometry. © 2016, Association for Computing Machinery. All rights reserved.

Other conference communications or articles related to authors from the University of Cantabria

 Congress: International Symposium on Symbolic and Algebraic Computation, ISSAC 2016 (41º : 2016 : Ontario)

Publisher: Association for Computing Machinery (ACM)

 Publication date: 01/09/2016

No. of pages: 4

Publication type: Comunicación a Congreso

 DOI: 10.1145/3015306.3015309

ISSN: 1932-2232,1932-2240

 Spanish project: MTM2014-54141-P

Authorship

MIGUEL ANGEL ABANADES ASTUDILLO

FRANCISCO RAMON BOTANA FERREIRO

KOVÁCS, ZOLTÁN

TOMAS JESUS RECIO MUÑIZ

SÓLYOM-GECSE, CSILLA