O material manipulável Algeblocks: uma proposta para o ensino médio ; The manipulable material Algeblocks: a proposal for high school ; El material manipulable Algeblocks: una propuesta para el instituto ; Le matériau manipulable Algeblocks: une proposition pour l'institut

This work had the purpose of developing an educational product in the form of a teaching proposal for the algebra of high school grades. More specifically, to propose studies of algebraic content through the use of concrete manipulative material called Algeblocks. Given the theoretical and methodological support of the exploratory-investigative tasks proposed by João Pedro da Ponte and his collaborators, in addition to the figurative representations of Efraim Fischbein, four tasks were planned, involving the following contents: second degree function; concepts of regular polygons; resolution, analysis and discussion of linear systems with two equations and two variables using scaling; approach to prism concepts (surface area and volume) and Euler relationship. For each of the tasks, a possible resolution script was presented, articulated with the theoretical frameworks presented in this research. In terms of the potential of didactic material, we highlight that it is a relevant resource for the establishment of representation records, both geometric and algebraic; versatile for use in elementary and high school content. A reflection on the limitations of the material is that it does not guarantee the validity of mathematical statements in a mathematical investigation. ; Este trabajo tenía el propósito de desarrollar un producto educativo en forma de una propuesta de enseñanza para el álgebra de los grados de secundaria. Más específicamente, proponer estudios de contenido algebraico a través del uso de material manipulador concreto llamado Algeblocks. Dado el apoyo teórico y metodológico de las tareas exploratorias-investigativas propuestas por João Pedro da Ponte y sus colaboradores, además de las representaciones figurativas de Efraim Fischbein, se planificaron cuatro tareas, que incluyen los siguientes contenidos: función de segundo grado; conceptos de polígonos regulares; resolución, análisis y discusión de sistemas lineales con dos ecuaciones y dos variables usando escalado; aproximación a los conceptos de ...