Generalización de patrones: una forma de desarrollar el pensamiento algebraico

Abstract

In the present work the processes of generalization (arithmetic-algebraic) developed by the eighth grade students of the Colegio Entre Nubes Sur Oriental IED, when confronted with tasks of generalization of patterns of sequence sequences, in order to enhance algebraic thinking. The tasks proposed were intended to analyze the student's way of changing, ie, how to increase or decrease the terms of the sequence, in other words, the spatial and numerical structure; which leads them to conjecture the form of the following terms; Finally, formulate a procedure that allows establishing the pattern of behavior, through a joint activity in different working groups, based on the Cultural Theory of Objectivation, in which learning is defined as "social processes of making of critical conscience in which different semiotic means put in play by the students (language, gestures, symbols, artefacts, etc.) are involved " (Miranda, Radford, & Guzmán, 2013)