
This research focus in the role of the discourse in the mathematics class when intends to teach concepts and mathematical processes connected with the notion of variation. The discourse constitutes a space where are built, negotiate and interpret the meanings in the social interaction that is carried out in the school, therefore to build knowledge in interaction requires of the language used socially. We analyze the role of the explanations in the mathematics class, first semester of engineering, when the notion of variation is being used by the professors and when the students interact with that notion. Particularly we will center the attention in the concepts of function and derivative, seen in the writing as models for the study of the variation. The registers and the class transcriptions were analyzed considering a model of qualitative research.
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