This research analysed a mathematical reasoning given by three blind students by applying the Van Hiele model for a learning process of geometry. It was conducted at IED Jose Felix Restrepo, night shift, in Bogota City. Under this model, mathematical thinking follows a particular pattern which is synthesized by two parts, i.e. a descriptive identifying a type of reasoning called “reasoning levels” and the instructive or prescriptive one which suggests guidelines which meant teachers to facilitate student learning. It was concluded that this model for studying the mathematical reasoning in the resolution of geometrical problems in this population is appropriated and relevant because students attending 1st level advanced to 3rd level, by allowing them just to acquire reasoning abilities to infer, justify and organize concepts and ideas, skills that may be used in many circumstances not only academic but also living daily life.