An epistemological model of reference in calculus and kinetics of chemical reaction

Authors

DOI:

https://doi.org/10.23925/1983-3156.2024v26i3p215-241

Keywords:

Teacher training, Chemical kinetics, Calculation

Abstract

In this article, we resume discussions about the application of Differential and Integral Calculus in the Teaching of Chemical Kinetics in Teacher Training. Aspects aimed at demonstrating statements through the resolution of tasks in a course of studies and research as a strategy aimed at appropriating concepts in the domain of reaction kinetics, in the context of activities based specifically on the Anthropological Theory of the Didactic (ATD), based on epistemological models of reference and the dominant one around the object speed laws of chemical reaction. Along the way, the importance and reason for being of Integral and Differential Calculus techniques for teacher training and the formulation of didactic organizations that can serve as support for tasks in the exercise of the profession in high school were highlighted, highlighting the use of instruments of ICT, such as Excel, in the construction of these tasks. It was observed that throughout the course the students understood the steps proposed in the reference epistemological model by completing a crucial task, associated with the question that generated the course, which necessarily applies integration and differentiation techniques to obtain ordinary differential equations, associated with the technique analysis of the least squares method, for the kinetic characterization of a chemical system, a medicine in the simulation of the experimental determination of its expiration date.

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Author Biographies

José Vieira do Nascimento Júnior, Universidade Estadual de Feira de Santana

Doutor em Quimica

Geciara da Silva Carvalho, Universidade Estadual de Feira de Santana

Doutora em Educação Matemática

References

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Published

2024-11-03

How to Cite

NASCIMENTO JÚNIOR, J. V. do; CARVALHO, G. da S. An epistemological model of reference in calculus and kinetics of chemical reaction. Educação Matemática Pesquisa, São Paulo, v. 26, n. 3, p. 215–241, 2024. DOI: 10.23925/1983-3156.2024v26i3p215-241. Disponível em: https://revistas.pucsp.br/index.php/emp/article/view/66728. Acesso em: 21 nov. 2024.

Issue

Section

Epistemological reference model (ERM) for teaching calculus