A proposal for an epistemological reference model for the study of the limits in the dialogue of attention mechanisms

propuesta de modelo de referencia epistemológico para el estudio de los límites a través del diálogo a través de mecanismos de atención

Authors

DOI:

https://doi.org/10.23925/1983-3156.2024v26i3p174-199

Keywords:

Limit of a function, Attentional mechanisms, Epistemological model of reference

Abstract

In this theoretical essay, we intend to present task proposals and praxeological analyzes in an Epistemological Reference Model (MER) for teaching Differential and Integral Calculus, giving new meaning to the diffusion of the notion of limit of a function by definition. The aforementioned MER has as its epistemological and methodological assumption the Anthropological Theory of Didactics by Yves Chevallard and the ideas of Top Down and Bottom up attentional processing. Data production for this study occurs via praxeological analysis based on tasks extracted from textbooks and a priori analysis of the constructed MER. As a main result, it was observed through the a priori analysis of the tasks that made up the MER, that the tacit knowledge necessary to solve the tasks can be evoked by their structure, while in bottom-up processing the use of imagery resources helps in focusing paying attention to important conceptual aspects present in the proposed tasks.

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Author Biographies

Vinicius Souza Bittencourt, UFOB

Doutorado em Matemática

Edmo Fernandes Carvalho, Universidade Estadual de Feira de Santana

Doutorando no Programa de Ensino, Filosofia e História das Ciências - UFBA/UEFS. Professor Substituto na Universidade Estadual de Feira de Santana, área de Educação Matemática.

Laerte da Silva Fonseca, Instituto Federal de Educação, Ciência e Tecnologia de Sergipe

Doutorado em Educação Matemática

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Published

2024-11-03

How to Cite

SOUZA BITTENCOURT, V.; CARVALHO, E. F.; FONSECA, L. da S. A proposal for an epistemological reference model for the study of the limits in the dialogue of attention mechanisms: propuesta de modelo de referencia epistemológico para el estudio de los límites a través del diálogo a través de mecanismos de atención. Educação Matemática Pesquisa, São Paulo, v. 26, n. 3, p. 174–199, 2024. DOI: 10.23925/1983-3156.2024v26i3p174-199. Disponível em: https://revistas.pucsp.br/index.php/emp/article/view/66721. Acesso em: 23 nov. 2024.

Issue

Section

Epistemological reference model (ERM) for teaching calculus