La geometría para la vida y su enseñanza.

In the present monograph, the general objective was to value the importance of learning geometry for life and its teaching for the development of thought. For this, Chapter I deals with the historical evolution of geometry. In Chapter II, its significance, importance, classification is exposed. Likewise, applications are presented in areas of science such as: medicine, architecture, civil engineering, and aeronautical engineering. Chapter III describes teaching models of geometry such as Duval, and Van Hiele; It also shows the experience of some universities on the teaching of geometry. The Research Methodology was documentary, using as sources of information the written document, in its different presentations: printed, electronic and audiovisual. The design of the investigation was conformed with the following phases: Selection and delimitation of the topic; Collection of information or sources of information; Organization of data and preparation of a conceptual outline of the subject; Data analysis and organization of the monograph; and Drafting of the monograph or report of the research and final presentation (written). Product of the research concludes: The teaching of geometry is essential for the construction, explanation and understanding of space, and is included in the curricula of the world in the different educational levels as one of the areas of mathematics. The teaching of geometry should be aimed at solving problems and have a relationship with the physical environment, for the construction of meaningful learning. There are different models that guide the teaching of geometry, in which the Duval is highlighted, which has three cognitive levels for geometric construction (visualization, reasoning, construction). Van Hiele presents five levels of Geometric reasoning, (Visualization or recognition, analysis, Ordination, Formal Deduction, Rigor), both form an important guide in the conduct of the teaching and learning process of Geometry.