Semiotic mediation in the meaning-making of ray through the operationalization of its definition

Abstract

The meaning of a geometric object is consolidated through the use of its definition and of the statements that establish its properties; also in the use of the object itself as a tool. So, understanding a geometric object involves, among other things, operationalizing its definition. That is, the learner should be able to pertinently use the definition as a warrant for statements when producing a proof. This article analyzes aspects of meaning-making of ray associated to the use of the definition as warrant. This analysis is rooted in the Peircean triadic sign and in the evolution of the teacher and learners’ interpretants while they made the effort to operationalize such definition. Also, it illustrates the articulation of the notions «meaning-making» and «teacher semiotic mediation».