Mathematical software tools for teaching of complex numbers
This article proposes a method for teaching complex numbers and their corresponding operations using mathematical software tools. Initially, the document introduces MATLAB, a paid software, and GeoGebra, a free software. Subsequently, the paper explains the procedure to define the representations of...
Main Authors: | , , |
---|---|
Format: | Online |
Language: | eng |
Published: |
Universidad Pedagógica y Tecnológica de Colombia
2018
|
Subjects: | |
Online Access: | https://revistas.uptc.edu.co/index.php/ingenieria/article/view/8403 |
_version_ | 1801706083478142976 |
---|---|
author | Esguerra-Prieto, Brayan González-Garzón, Natalia Acosta-López, Alberto |
author_facet | Esguerra-Prieto, Brayan González-Garzón, Natalia Acosta-López, Alberto |
author_sort | Esguerra-Prieto, Brayan |
collection | OJS |
description | This article proposes a method for teaching complex numbers and their corresponding operations using mathematical software tools. Initially, the document introduces MATLAB, a paid software, and GeoGebra, a free software. Subsequently, the paper explains the procedure to define the representations of the basic (addition, difference, multiplication and division) and complementary (module and conjugate, roots and polar form) operations of the numerical system of complex numbers, using the two tools and a series of proposed exercises. Finally, the paper highlights the evidenced qualities during the development of the exercises and their transcendence in teaching and learning. |
format | Online |
id | oai:oai.revistas.uptc.edu.co:article-8403 |
institution | Revista Facultad de Ingeniería |
language | eng |
publishDate | 2018 |
publisher | Universidad Pedagógica y Tecnológica de Colombia |
record_format | ojs |
spelling | oai:oai.revistas.uptc.edu.co:article-84032021-07-13T02:27:03Z Mathematical software tools for teaching of complex numbers Herramientas de software matemático para la enseñanza de números complejos Esguerra-Prieto, Brayan González-Garzón, Natalia Acosta-López, Alberto computer-aided instruction electronic learning interactive systems mathematics education software tools N.A. aprendizaje por computadoras enseñanza de las matemáticas enseñanza virtual herramientas de software sistemas interactivos N.A. This article proposes a method for teaching complex numbers and their corresponding operations using mathematical software tools. Initially, the document introduces MATLAB, a paid software, and GeoGebra, a free software. Subsequently, the paper explains the procedure to define the representations of the basic (addition, difference, multiplication and division) and complementary (module and conjugate, roots and polar form) operations of the numerical system of complex numbers, using the two tools and a series of proposed exercises. Finally, the paper highlights the evidenced qualities during the development of the exercises and their transcendence in teaching and learning. El artículo propone un método para enseñar los números complejos y sus correspondientes operaciones mediante herramientas de software matemático. Inicialmente se presentan las herramientas MATLAB, cuya licencia es de pago, y GeoGebra, que es un software libre. En la segunda parte se explica el procedimiento para definir las representaciones de las operaciones básicas (adición, diferencia, multiplicación y división) y complementarias (módulo y conjugado, raíces, forma polar) del sistema numérico de los números complejos, usando cada una de las dos herramientas y utilizando una serie de ejercicios propuestos. Finalmente, se diferencian las cualidades evidenciadas durante el desarrollo de los ejercicios y su trascendencia en la enseñanza y aprendizaje. Universidad Pedagógica y Tecnológica de Colombia 2018-05-20 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion research investigación application/pdf application/xml https://revistas.uptc.edu.co/index.php/ingenieria/article/view/8403 10.19053/01211129.v27.n48.2018.8403 Revista Facultad de Ingeniería; Vol. 27 No. 48 (2018); 79-90 Revista Facultad de Ingeniería; Vol. 27 Núm. 48 (2018); 79-90 2357-5328 0121-1129 eng https://revistas.uptc.edu.co/index.php/ingenieria/article/view/8403/7089 https://revistas.uptc.edu.co/index.php/ingenieria/article/view/8403/7191 N.A. N.A. Copyright (c) 2018 Brayan Esguerra-Prieto, Natalia González-Garzón, Alberto Acosta-López, M.Sc. |
spellingShingle | computer-aided instruction electronic learning interactive systems mathematics education software tools N.A. aprendizaje por computadoras enseñanza de las matemáticas enseñanza virtual herramientas de software sistemas interactivos N.A. Esguerra-Prieto, Brayan González-Garzón, Natalia Acosta-López, Alberto Mathematical software tools for teaching of complex numbers |
title | Mathematical software tools for teaching of complex numbers |
title_alt | Herramientas de software matemático para la enseñanza de números complejos |
title_full | Mathematical software tools for teaching of complex numbers |
title_fullStr | Mathematical software tools for teaching of complex numbers |
title_full_unstemmed | Mathematical software tools for teaching of complex numbers |
title_short | Mathematical software tools for teaching of complex numbers |
title_sort | mathematical software tools for teaching of complex numbers |
topic | computer-aided instruction electronic learning interactive systems mathematics education software tools N.A. aprendizaje por computadoras enseñanza de las matemáticas enseñanza virtual herramientas de software sistemas interactivos N.A. |
topic_facet | computer-aided instruction electronic learning interactive systems mathematics education software tools N.A. aprendizaje por computadoras enseñanza de las matemáticas enseñanza virtual herramientas de software sistemas interactivos N.A. |
url | https://revistas.uptc.edu.co/index.php/ingenieria/article/view/8403 |
work_keys_str_mv | AT esguerraprietobrayan mathematicalsoftwaretoolsforteachingofcomplexnumbers AT gonzalezgarzonnatalia mathematicalsoftwaretoolsforteachingofcomplexnumbers AT acostalopezalberto mathematicalsoftwaretoolsforteachingofcomplexnumbers AT esguerraprietobrayan herramientasdesoftwarematematicoparalaensenanzadenumeroscomplejos AT gonzalezgarzonnatalia herramientasdesoftwarematematicoparalaensenanzadenumeroscomplejos AT acostalopezalberto herramientasdesoftwarematematicoparalaensenanzadenumeroscomplejos |