Elementos y argumentos compartidos entre la combinatoria y el álgebra a través de la resolución de problemas

Abstract

Mathematics is the set of elements, proportions and relationships that can be used in the analysis or resolution of problems, in its content it has elements, which are shared from one topic to another, managing to articulate and relate the components and improve the learning of the students. However, in the integration of the topics of combinatorics and algebra certain drawbacks arise, beginning that it is a little-studied field of research, followed by the fact that the ninth-grade students at the western school gymnasium have difficulties to make combinations in the elements of a set and also limitations to pose, interpret, address and argue the meaning of the solution of a mathematical problem. The research proposes a system of activities that have a pedagogical and didactic structure supported by the theory of problem solving, in particular in challenging problems, in argumentation and in the use of the themes of combinatorics and algebra. The implementation of the activities in the classroom allows: greater understanding of the students regarding the use of elements shared between combinatorics and algebra, the development of the ability to solve problems, argue and use numbers and mathematical relationships, it also stimulates motivation for learning, achieving greater interest in mathematics.