Learning the concept of integral through the appropriation of the competence in Riemann sums
| datacite.rights | http://purl.org/coar/access_right/c_abf2 | eng |
| dc.contributor.author | Aréchiga Maravillas, J | |
| dc.contributor.author | Arceo-Díaz, S | |
| dc.contributor.author | Salazar-Torres, J | |
| dc.contributor.author | Sierra Andrade, D | |
| dc.contributor.author | Benites Montes, M | |
| dc.date.accessioned | 2020-08-27T02:33:32Z | |
| dc.date.available | 2020-08-27T02:33:32Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | It is proposed that the difficulty of engineering students into understanding the concept of the integral, as a way for calculating the area under a curve, can be overcame if students are taught how to translate it into the problem of calculating a Riemann sum. A series of applied problems are proposed to provide a frame that required to calculate the area under a curve to two groups of students. For one of these groups, Geogebra was proposed as a tool that could be used to maintain the focus of students into the concepts, by providing ways to easily calculate and visualize the solutions, while the other group reached to the solutions by analytically making all the calculations. Evidence was found that, to a confidence level of 95%, Riemann sums calculated with Geogebra reduce the score difference in context problems requiring the calculation of integrals, helping students to reach a better understanding on the concept of the integral as the area under the curve of a given function. | eng |
| dc.format.mimetype | eng | |
| dc.identifier.issn | 17426588 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12442/6364 | |
| dc.identifier.url | https://iopscience.iop.org/article/10.1088/1742-6596/1514/1/012018 | |
| dc.language.iso | eng | eng |
| dc.publisher | IOP Publishing | eng |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | eng |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.source | Journal of Physics: Conference Series | eng |
| dc.source | Vol. 1514 No. 1 (2020) | |
| dc.title | Learning the concept of integral through the appropriation of the competence in Riemann sums | eng |
| dc.type.driver | info:eu-repo/semantics/article | eng |
| dc.type.spa | Artículo científico | spa |
| dcterms.references | Thomas G B 2006 Cálculo: Una variable (México: Pearson Educación) | spa |
| dcterms.references | Stewart J 2008 Cálculo de una variable (México: International Thomson Editors) | spa |
| dcterms.references | Villanueva M, Cabrera G and Bernabé M 2018 Revista Iberoamericana de Producción Académica y Gestión Educativa 5 10 | spa |
| dcterms.references | Fuster J and Gómez F 1997 Divulgaciones Matemáticas 5 61 | spa |
| dcterms.references | Larson R and Edwards B 2014 Matemáticas II (Cálculo Integral) (USA: CENGAGE Learning) | spa |
| dcterms.references | González L, González E and De León G 2016 Revista Iberoamericana de Producción Académica y Gestión Educativa 2 3 | spa |
| dcterms.references | Ugarte F and Martinez M 2017 Acta Latinoamericana de Matemática Educativa 2 459 | spa |
| dcterms.references | Salas S, Hille E and Etgen G 2002 Calculus: Una y varias variables (México: Reverté Ediciones) | eng |
| dcterms.references | Álvarez R, Fernández F, Martínez F and Zamora A 2015 Análisis y métodos numéricos con Geogebra, prácticas de Matemáticas 2 (España: Universidad de Alicante) | spa |
| dcterms.references | Espinoza Vásquez I G 2015 Educación Matemática en las Américas 2015 vol 4 (XIV Conferencia Interamericana de Educación Matemática) ed Patrick (Rick) Scott and Ángel Ruiz (México: Comité Interamericano de Educación Matemática) Construcción de los conceptos partición y sumas de Riemann con Geogebra 165 | spa |
| dcterms.references | Hernández S, Fernández C and Baptista L 2014 Metodología de la Investigación (México: Mc Graw Hill Education) | spa |
| dcterms.references | Apostol T 2001 Cálculo (México: Reverté Ediciones) | spa |
| dcterms.references | Ramos J 2018 Cálculo Integral (México: Alfaomega Grupo Editor) | spa |
| dcterms.references | Field A 2009 Discovering statistics using SPSS (London: SAGE) | eng |
| oaire.version | info:eu-repo/semantics/publishedVersion | eng |