Unidad Didáctica para la Construcción y significación del concepto de número real con los estudiantes del grado undécimo

This paper offers a detailed construction of a Didactical Unit intended to the understanding and a competent handling of the fundamental properties related to the real number system (algebraic structure, ordering, density and completeness) as well as the several schemes used to depict such quantities (common fractions, decimal and nth base expansions, simple continued fractions and nested intervals); the Didactical Unit is to be applied to students that are about to end their secondary school. Historical and technical approaches are made, mainly related to the several theoretic constructions about real numbers and simple continued fractions as well. Those are intended to give an epistemological and technical support to the classroom activities. The Didactical Unit is framed inside “meaningful learning” approach and shows the strategies and contents, as well as the expected results from the students after a possible application.