Elaboración de un manual que contenga estrategias didácticas para mejorar el aprendizaje de combinatoria en la carrera de Matemáticas y Física de la Universidad de Cuenca, con la utilización de material didáctico

Abstract

This work is aimed for the students of Mathematics and Physics of the University of Cuenca, with the aim of improving learning processes, on topics related to the Combinatorial Theory: permutation, variation and combination, which, due to their complexity, generate difficulties conceptual and procedural, problems evidenced in the methodology of this investigation. The techniques that allowed to carry out this work were of the qualitative and quantitative type, in which two factors were evidenced, the first one that the main diffi-culty in understanding is to recognize the counting technique within a problem combinatorial and the second, the academic performance of the students; to try to overcome these problems, it has been proposed to elaborate a manual that contains a meticulous selection of strategies and didactic techniques supported by play material (games) for the teacher's use, this manual gives the educator freedom to choose which strategies and learning situations to use in certain moments of dictating your class. The elaboration and structure of the manual has been carried out through a bibliographic review of strategies and didactic techniques accompanied by learning situations that revolve around games, attached to Piaget's cognitive pedagogy, which emphasizes learning through the experimentation, manipulation of objects contextualized with our reality, turning the student into an active subject.