Theories with semiotic approaches: possibility of an intertheoretical dialogue

Abstract

The theories presented in this text have a semiotic approach, but different focuses: the Theory of Semiotic Representation Records (TRRS), developed by Raymond Duval, presents a cognitive approach in which representation records are inherent to the process of teaching and learning mathematics and enable the analysis of cognitive, treatment and conversion activities. The socio-cultural approach that delimits the assumptions of the Theory of Objectification (TO), a theory in development proposed by Luis Radford, considers Common Labor as fundamental to the processes of objectification and subjectification, anchored by semiotic means of objectification. In this way, we indicate the specificities regarding the principles, methodology and investigative questions of each theory followed by resolutions of a situation in the context of Early Algebra, with 6th year students from a public school in the north of Paraná, as an illustration for analysis under the lenses of the TO and TRRS framework. The possibility of an intertheoretical dialogue arises from the specificities and inferences of the analysis regarding the elements of each theory, where it is concluded that even with distinct ontological and epistemological aspects, both theories emerge synchronously

Keywords

• early algebra
• semiótica
• teoria da objetivação
• teoria dos registros de representação semiótica.