Características del cambio y la variación asociadas al uso de recursos semióticos en la generalización de patrones figurales: una experiencia con estudiantes de grado octavo

Abstract

The following study documents the identification and description of the characteristics of change and variation associated with the use of semiotic resources that emerge in the productions of eighth grade students in generalization tasks on sequences of figural patterns. In this sense, it is approached through elements of the Theory of Objectification (Radford, 2006b, 2018a, 2020a) by means of a multimodal analysis of human thought (Radford, Edwards and Arzarello, 2009), where, based on them, three tasks of figural sequences were designed, created, adapted and implemented with aspects of the cultural context of the Guajiro people, such as weaving and corn cultivation. The analysis of the results shows the emergence of the use of semiotic resources of objectification through corporeal actions (indexical gestures, perceptual activity, rhythm and speech), mediated by written and spoken signs (key words and phrases, mathematical and alphanumeric symbols, linguistic resources, spatial, temporal and mode deictics), and artifacts (iconic figural representation of the weaving, tables and calculator), with which they identify the intervening variables thanks to the multimodal (multisemiotic) activity with the great richness and multiplicity of the coordinated and reduced use of not only cognitive but also physical and perceptual resources, through multiple forms of expression and representation and allows them to encounter characteristics of change and variation such as: (i) what changes and remains constant; (ii) recognition of variation; (iii) quantification of change; (iv) identification of intervening variables; (v) the field of variation or the universe of each variable; (vi) covariation relationships at the factual, contextual and symbolic level of generalization between intervening quantities as processes of objectification.