The ontosemiotic approach practice system in Moodle platform for teaching Polynomial Interpolation
Abstract
The subject of numerical methods is a must in mathematics and engineering careers; its formative practice is the substantial basis of many of the current computational developments. Its learning requires that the student has the mathematical knowledge that allows him/her to understand and apply them, however, its teaching is usually focused on mechanization, producing insufficient learning. The Ontosemiotic Approach (EOS) (Godino et al., 2007) is a theoretical system that integrates various theories of Didactics of Mathematics, which assumes that mathematical activity is focused on problem solving. The objective of this work was to build and test a technopedagogical route based on the EOS practice system implemented in Moodle to achieve the mathematical knowledge required for the learning and application of polynomial interpolation methods. The research-action methodology was followed. Materials, activities and contextualized problems were elaborated and selected, all arranged in the Moodle platform. The statistics generated by the platform provided elements that allowed validating the route. A quantitative analysis was made of the grades and records in the Moodle platform, and a qualitative analysis of the students' perception. The results reveal that the EOS practice system implemented in the Moodle platform improves mathematical learning, achieving 86% school approval. Students recognize the contextualized problems as the element that contributed most to their learning. This proposal could be generalized for teaching computational mathematics in higher education with promising results.
Downloads
References
Alvarado, H. y Batanero, C. (2008). Significado del teorema central del límite en textos universitarios de probabilidad y estadística. Estudios Pedagógicos (Valdivia), 34(2), 7–28. https://doi.org/10.4067/S0718-07052008000200001
Becerra-Romero, A., Díaz-Rodríguez, M. and González-Estrada, O. A. (2019). Development of a virtual learning environment for the subject numerical methods under Moodle. Journal of Physics: Conference Series, 1161(1). https://doi.org/10.1088/1742-6596/1161/1/012010
Bhatti, N. (2019). CAI and conventional method for retention of mathematics: an experimental study. Journal of Physics: Conference Series, 1157(3). https://doi.org/10.1088/1742-6596/1157/3/032079
Bolaño-Muñoz, O. E. (2020). El constructivismo: modelo pedagógico para la enseñanza de las matemáticas. Revista Educare, 24(3), 488–502. https://doi.org/https://doi.org/10.46498/reduipb.v24i3.1413
Breda, A., Pino-Fan, L. R. and Font, V. (2017). Meta didactic-mathematical knowledge of teachers: Criteria for the reflection and assessment on teaching practice. Eurasia Journal of Mathematics, Science and Technology Education, 13(6), 1893–1918. https://doi.org/10.12973/eurasia.2017.01207a
Chapra, S. C. y Canale, R. P. (2015). Métodos numéricos para ingenieros (7.a ed.). McGraw Hill.
Clark, R. M., Kaw, A. and Delgado, E. (2018). Do adaptive lessons for pre-class experience improve flipped learning? ASEE Annual Conference and
Exposition, Conference Proceedings, 2018-June.
D’Amore, B., Font, V. y Godino, J. D. (2007). La dimensión metadidáctica en los procesos de enseñanza y aprendizaje de las matemáticas. Paradigma, 28(2), 49–77. https://doi.org/https://doi.org/10.37618/PARADIGMA.1011-2251.2007.p49-77.id386
Duval, R. (2016). Un análisis cognitivo de problemas de comprensión en el aprendizaje de las matemáticas. En Universidad Distrital Francisco José de Caldas (ed.), Comprensión y aprendizaje en matemáticas: perspectivas semióticas seleccionadas (pp. 61–94). Universidad Distrital Francisco José de Caldas.
Flórez Escobar, W. F., Flórez Londoño, D. A. y Valencia Cardona, R. A. (2019). Programación científica. Una propuesta didáctica para la enseñanza de métodos numéricos y programación. Encuentro Internacional de Educación en Ingeniería ACOFI. https://acofipapers.org/index.php/eiei/article/view/134
Galindo Illanes, M. K., Breda, A., Chamorro Manríquez, D. D. and Alvarado Martínez, H. A. (2022). Analysis of a teaching learning process of the derivative with the use of ICT oriented to engineering students in Chile. Eurasia Journal of Mathematics, Science and Technology Education, 18(7), em2130. https://doi.org/10.29333/ejmste/12162
Godino, J. D. (2011). Indicadores de idoneidad didáctica de procesos de enseñanza y aprendizaje de las matemáticas. XIII Conferência Interamericana de Educação Matemática (CIAEM-IACME), 1–20.
Godino, J. D. (2019). How to teach mathematics and experimental sciences? Solving the inquiring versus transmission dilemma. CEUR Workshop Proceedings, 2555, 71–80. http://ceur-ws.org/Vol-2555/paper6.pdf
Godino, J. D., Batanero, C. y Font, V. (2007). Un enfoque ontosemiótico del conocimiento y la instrucción matemática (versión ampliada y revisada al 8/Marzo/2009). ZDM: The International Journal on Mathematics Education, 39(1–2), 127–135.
Grisales Aguirre, A. M. (2018). Uso de recursos TIC en la enseñanza de las matemáticas: retos y perspectivas. Entramado, 14(2), 198–214. https://doi.org/10.18041/1900-3803/entramado.2.4751
Gwynllyw, D. R., Henderson, K. L., Van lent, J. and Guillot, E. G. (2020). Using Python in the Teaching of Numerical Analysis. MSOR Connections, 18(2), 25–32. https://doi.org/10.21100/msor.v18i2.1100
Handayani, A. D., Herman, T. and Fatimah, S. (2017). Developing Teaching Material Software Assisted for Numerical Methods. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012019
Handayanto, A., Supandi, S. and Ariyanto, L. (2018). Teaching using moodle in mathematics education. Journal of Physics: Conference Series, 1013(1). https://doi.org/10.1088/1742-6596/1013/1/012128
Jerše, G. and Lokar, M. (2017). Learning and teaching numerical methods with a system for automatic assessment. International Journal for Technology in Mathematics Education, 24(3), 121–127. https://doi.org/http://dx.doi.org/10.1564/tme_v24.3.03
Johnston, B. M. (2017). Implementing a flipped classroom approach in a university numerical methods mathematics course. International Journal of Mathematical Education in Science and Technology, 48(4), 485–498. https://doi.org/10.1080/0020739X.2016.1259516
Márquez, E., García, S. and Molina, S. (2019). Implementation of Visual Supplements to Strengthen Pedagogical Practices and Enhance the Physical Understanding of Fundamental Concepts in Engineering Mechanics. 2019 ASEE Annual Conference y Exposition Proceedings. https://doi.org/10.18260/1-2--32939
Mendonca, J., Goncalves, G., Ferro, T. and Ferreira, M. (2016). Teaching and learning of contents from numerical methods using the technology: Comparison of the use of two technological resources. 2016 International Symposium on Computers in Education (SIIE), 1–4. https://doi.org/10.1109/SIIE.2016.7751823
Monteiro, M. T. T., Hornink, G. and Vieira, F. (2021). Innovating to improve – An experience in a computer engineering programme. International Symposium on Project Approaches in Engineering Education, 11, 192–199. https://doi.org/10.5281/zenodo.5095687
Montero, Y., Pedroza, M. E., Astiz, M. S. and Vilanova, S. L. (2015). Caracterización de las actitudes de estudiantes universitarios de Matemática hacia los métodos numéricos. Revista Electrónica de Investigación Educativa, 17(1), 88–99. https://redie.uabc.mx/redie/article/view/357/997
Moodle (2022). Estadísticas del reporte del examen. https://docs.moodle.org/all/es/Estad%C3%ADsticas_del_reporte_del_examen
Pino-Fan, L. R. (2017). Contribución del enfoque ontosemiótico a las investigaciones sobre didáctica del cálculo. Actas del Segundo Congreso International Virtual sobre el Enfoque Ontosemiótico del Conocimiento y la Instrucción Matemáticos. enfoqueontosemiotico.ugr.es/civeos.html
Rabi, J. A. and Caneppele, F. L. (2018). Numerical methods to biosystems and food engineering students: Hands-on practices and cross-disciplinary integration. Computer Applications in Engineering Education, 26(5), 1120–1133. https://doi.org/10.1002/cae.21933
Raichman, S., Totter, E., Palazzo, G. y Masnú, V. (2013). Hacia una mejora en la calidad del aprendizaje significativo de métodos numéricos en ingeniería: un enfoque multidimensional del problema. XX Congreso sobre Métodos Numéricos y sus Aplicaciones, 3061–3071. https://www.researchgate.net/publication/260424926
Rumbaut Leon, F. y Quindemil Torrijo, E. M. (2017). Las tecnologías de la información y las comunicaciones en la asignatura Métodos Numéricos para cursos de ingeniería en la enseñanza superior. Didasc@lia: Didactica y Educacion, 8(1), 99–110. http://revistas.ult.edu.cu/index.php/didascalia/article/view/591
Sumarwati, S., Fitriyani, H., Azhar Setiaji, F. M., Hasril Amiruddin, M. and Afiat Jalil, S. (2020). Developing Mathematics Learning Media Based on E-Learning using Moodle on Geometry Subject to Improve Students’ Higher Order Thinking Skills. International Journal of Interactive Mobile Technologies (iJIM), 14(04), 182. https://doi.org/10.3991/ijim.v14i04.12731
Tupacyupanqui-Jaen, D., Cornejo-Aparicio, V. and Bedregal-Alpaca, N. (2018). Video and cooperative work as didactic strategies to enrich learning and development of generic competences in numerical methods. Proceedings - 13th Latin American Conference on Learning Technologies, LACLO 2018, 134–141. https://doi.org/10.1109/LACLO.2018.00038
This work is licensed under a Creative Commons Attribution 4.0 International License.
In order to promote the development and dissemination of research in education in Latin America, the Ibero-American Journal for Educational Research and Development (RIDE) adhered to the Budapest Open Access Initiative, which is why it is identified as a Open access publication. This means that any user can read the complete text of the articles, print them, download them, copy them, link them, distribute them and use the contents for other purposes. Creative Cummons licenses allow users to specify the rights to use an open access journal available on the Internet in such a way that users know the rules of publication. Authors who publish in this journal accept the following conditions: Authors they keep the author's rights and give the magazine the right of the first publication, with the work registered with the attribution license of Creative Commons, which allows third parties to use the published material whenever they mention the authorship of the work and the first publication in this The 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) as long as they clearly indicate that The work was published for the first time in this magazine. Authors are allowed and recommended to publish their work. low on the Internet (for example on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and faster dissemination of the published work