Mathematical software tools for teaching of complex numbers
DOI:
https://doi.org/10.19053/01211129.v27.n48.2018.8403Keywords:
computer-aided instruction, electronic learning, interactive systems, mathematics education, software toolsAbstract
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.
Downloads
References
[2] N. Nesbitt, and G. Bright, "Elementary preservice teacher’s changing beliefs and instructional use of children’s mathematical thinking," Journal for research mathematics education, vol. 30 (1), pp. 99-100, 1999.
[3] M. Flores, and E. Montoya, "Artefacto y espacio de trabajo matemático en la multiplicación de números complejos," Educación matemática, vol. 28 (2), pp. 85-117, Aug. 2016. DOI: https://doi.org/10.24844/EM2802.04.
[4] E. Millán-Rojas, A. Gallego-Torres, and D. Chico-Vargas, "Simulation of a grid network with virtual machines to create a learning environment of high performance computing," Revista Facultad de Ingeniería, vol. 25(41), pp. 85-92, Jan. 2016. DOI: https://doi.org/10.19053/01211129.4140.
[5] M. Hohenwarter, J. Hohewarter, J. Kreis, and Z. Lavicza, "Teaching an learning calculus with Free Dynamics Mathematics Software Geogrebra," In 11th International congress on Mathematical education, Monterrey; Nuevo León; México, 2008.
[6] A. D. Araujo, "Creencias acerca de la enseñanza de los números complejos," Master Thesis, Universidad del Zulia, Zulia, Venezuela, 2007.
[7] K. Choi, and H. Liu, "Matlab and Simulink Basics," Problem-Based Learning in Communication Systems Using MATLAB and Simulink, p. 400, 2016. DOI: https://doi.org/10.1002/9781119060239.ch1.
[8] G. Karakok, H. Soto-Jhonson, and A. Dyben, "Conception of various forms of complex numbers," CrossMark, Springer Science, 2014.
[9] S. Parra, "Reflexiones en torno a los modelos de formación docente dominantes y alternativos," Revista Omnia, vol. 6 (1), pp. 111-121, 2001.
[10] G. Aghekyan, "How to teach complex numbers applying the Geogebra software," Doctoral Thesis, Russian-Armenian University, Yerevan, Armenia, 2014.
[11] F. G. Perez, "Los modelos didácticos como instrumento de análisis y de intervención en la realidad educativa," Revista bibliografica de Geografía y Ciencias Sociales, vol. 207, Feb. 2000.
[12] J. I. Lopéz-Ruiz, "Abriendo puertas.Los Estudios de Casos desde un enfoque innovador y formativo," Investigación en la escuela, vol. 41, pp. 103-111, 2000.
Published
How to Cite
Issue
Section
License
All articles included in the Revista Facultad de Ingeniería are published under the Creative Commons (BY) license.
Authors must complete, sign, and submit the Review and Publication Authorization Form of the manuscript provided by the Journal; this form should contain all the originality and copyright information of the manuscript.
The authors who publish in this Journal accept the following conditions:
a. The authors retain the copyright and transfer the right of the first publication to the journal, with the work registered under the Creative Commons attribution license, which allows third parties to use what is published as long as they mention the authorship of the work and the first publication in this Journal.
b. Authors can make other independent and additional contractual agreements for the non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly indicate that the work It was first published in this Journal.
c. Authors are allowed and recommended to publish their work on the Internet (for example on institutional or personal pages) before and during the process.
review and publication, as it can lead to productive exchanges and a greater and faster dissemination of published work.
d. The Journal authorizes the total or partial reproduction of the content of the publication, as long as the source is cited, that is, the name of the Journal, name of the author (s), year, volume, publication number and pages of the article.
e. The ideas and statements issued by the authors are their responsibility and in no case bind the Journal.