Semantic Networks Approach to Teachers' Epistemological Beliefs about DifferentialCalculus

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Autor principal: Germán Cadavid Arango
Formato: Artículo científico
Lenguaje:en
Publicado: Universidad Tecnológica de Pereira 2021
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author Germán Cadavid Arango
author_facet Germán Cadavid Arango
contents Semantic Networks Approach to Teachers' Epistemological Beliefs about DifferentialCalculus Germán Cadavid Arango José William Montes Ocampo Oscar Fernández Sánchez Ingeniería Functions Derivative Semantic Networks Differential Calculus Epistemological Beliefs The purpose of this paper is to carry out a study on the epistemological beliefs that professors from the Mathematics Department of the Technological University of Pereira, Colombia, expressed, concerning the teaching and learning process of differential calculus, and more specifically the mathematical object derivative in a course named Mathematics I. This research aims to analyze epistemological beliefs that mathematics professors at this university have in relation to the epistemological process of teaching and learning differential calculus. A multiple case study was carried out, by conducting thirty-nine interviews with the same number of teachers who have taught the subject Mathematics I. Semantic Networks were designed to represent their epistemological beliefs about their vision against the branch of mathematics called differential calculus. A constructivist conception of the teaching of differential calculus by teachers was found, emphasizing the concepts and focusing on the teaching of applied mathematics. The teachers considered that the concepts of limits and functions should precede the teaching of the derivative. Differential calculus must be learned as it will serve as the foundation of other professional training courses; some teachers considered that this branch of mathematics has applications in the working life of the future engineer. 2021 artículo científico 0122-1701 https://www.redalyc.org/articulo.oa?id=84969892011 https://www.redalyc.org/journal/849/84969892011/ https://www.redalyc.org/journal/849/84969892011/html/ https://www.redalyc.org/journal/849/84969892011/84969892011.epub https://www.redalyc.org/journal/849/84969892011/movil https://doi.org/10.22517/23447214.24536 en http://www.redalyc.org/revista.oa?id=849 Scientia Et Technica application/pdf Universidad Tecnológica de Pereira Scientia Et Technica (Colombia) Num.4 Vol.26
format Artículo científico
id redalyc_84969892011
institution Redalyc
language en
publishDate 2021
publisher Universidad Tecnológica de Pereira
spellingShingle Semantic Networks Approach to Teachers' Epistemological Beliefs about DifferentialCalculus
Germán Cadavid Arango
Ingeniería
Functions
Derivative
Semantic Networks
Differential Calculus
Epistemological Beliefs
Semantic Networks Approach to Teachers' Epistemological Beliefs about DifferentialCalculus Germán Cadavid Arango José William Montes Ocampo Oscar Fernández Sánchez Ingeniería Functions Derivative Semantic Networks Differential Calculus Epistemological Beliefs The purpose of this paper is to carry out a study on the epistemological beliefs that professors from the Mathematics Department of the Technological University of Pereira, Colombia, expressed, concerning the teaching and learning process of differential calculus, and more specifically the mathematical object derivative in a course named Mathematics I. This research aims to analyze epistemological beliefs that mathematics professors at this university have in relation to the epistemological process of teaching and learning differential calculus. A multiple case study was carried out, by conducting thirty-nine interviews with the same number of teachers who have taught the subject Mathematics I. Semantic Networks were designed to represent their epistemological beliefs about their vision against the branch of mathematics called differential calculus. A constructivist conception of the teaching of differential calculus by teachers was found, emphasizing the concepts and focusing on the teaching of applied mathematics. The teachers considered that the concepts of limits and functions should precede the teaching of the derivative. Differential calculus must be learned as it will serve as the foundation of other professional training courses; some teachers considered that this branch of mathematics has applications in the working life of the future engineer. 2021 artículo científico 0122-1701 https://www.redalyc.org/articulo.oa?id=84969892011 https://www.redalyc.org/journal/849/84969892011/ https://www.redalyc.org/journal/849/84969892011/html/ https://www.redalyc.org/journal/849/84969892011/84969892011.epub https://www.redalyc.org/journal/849/84969892011/movil https://doi.org/10.22517/23447214.24536 en http://www.redalyc.org/revista.oa?id=849 Scientia Et Technica application/pdf Universidad Tecnológica de Pereira Scientia Et Technica (Colombia) Num.4 Vol.26
title Semantic Networks Approach to Teachers' Epistemological Beliefs about DifferentialCalculus
topic Ingeniería
Functions
Derivative
Semantic Networks
Differential Calculus
Epistemological Beliefs
url https://www.redalyc.org/articulo.oa?id=84969892011
https://www.redalyc.org/journal/849/84969892011/
https://www.redalyc.org/journal/849/84969892011/html/
https://www.redalyc.org/journal/849/84969892011/84969892011.epub
https://www.redalyc.org/journal/849/84969892011/movil
https://doi.org/10.22517/23447214.24536