ISSN: 2278-7690 1208 | Page September 22, 2015 ON THE INTUITIVE GEOMETRY Osvaldo Rojas 1, Javier González 2, Mauro García 3 1 Professor and researcher of the PhD and Master programs of Mathematics Education. University Antonio Nariño (UAN), Bogotá, Colombia, Nicolás de Federman, Bogotá, Colombia. orojasv2301@gmail.com 2 Professor of the Department of Mathematics at the University Autónoma de Guerrero, Guerrero, Mexico. jg_mendieta@hotmail.com 3 Director of the PhD and Master program of Mathematics Education. University Antonio Nariño (UAN), Bogotá, Colombia, Nicolás de Federman, Bogotá, Colombia. mauro@uan.edu.co ABSTRACT In this paper the origin of the concepts of geometry and the way and the reason for systematization is analyzed. A first approach to the analysis of the processes involved in the development of geometry determines its target and leads us to clarify what is meant by a mathematical object and, further, what is meant by geometric object, and leads into the structure essential geometry. Keywords Geometry, Intuitive Geometry, Object, Math Academic Discipline And Sub-Disciplines Education, Teaching of Mathematics Education SUBJECT CLASSIFICATION Innovation in education Council for Innovative Research Peer Review Research Publishing System Journal: International Journal of Research in Education methodology Vol. 7, No.3 ijremeditor@gmail.com www.ijrem.com