Mobile devices for the development of critical thinking in the learning of differential equations

The purpose of this research was to establish a relationship between mobile devices and the development of critical thinking in students of the differential equations subject. The research had a quantitative and qualitative methodological approach with quasi-experimental design, the sample was 110 s...

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Autores:
RINCON LEAL, OLGA LUCY
Vergel Ortega, Mawency
Paz Montes, Luisa Stella
Tipo de recurso:
Article of journal
Fecha de publicación:
2019
Institución:
Universidad Francisco de Paula Santander
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/464
Acceso en línea:
http://repositorio.ufps.edu.co/handle/ufps/464
https://doi.org/10.1088/1742-6596/1408/1/012015
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openAccess
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Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence.
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dc.title.eng.fl_str_mv Mobile devices for the development of critical thinking in the learning of differential equations
title Mobile devices for the development of critical thinking in the learning of differential equations
spellingShingle Mobile devices for the development of critical thinking in the learning of differential equations
title_short Mobile devices for the development of critical thinking in the learning of differential equations
title_full Mobile devices for the development of critical thinking in the learning of differential equations
title_fullStr Mobile devices for the development of critical thinking in the learning of differential equations
title_full_unstemmed Mobile devices for the development of critical thinking in the learning of differential equations
title_sort Mobile devices for the development of critical thinking in the learning of differential equations
dc.creator.fl_str_mv RINCON LEAL, OLGA LUCY
Vergel Ortega, Mawency
Paz Montes, Luisa Stella
dc.contributor.author.none.fl_str_mv RINCON LEAL, OLGA LUCY
Vergel Ortega, Mawency
Paz Montes, Luisa Stella
description The purpose of this research was to establish a relationship between mobile devices and the development of critical thinking in students of the differential equations subject. The research had a quantitative and qualitative methodological approach with quasi-experimental design, the sample was 110 students. Results: The integration of mobile applications favored and motivated the learning of the applications of differential equations, where the student develops critical thinking at the moment that creates, discovers, imagines and assumes. At the same time, when interacting with colleagues, it implements autonomous and collaborative learning, with the ease of access to information. Conclusion: Regarding the perception of students about this tool, 40% highlight its usefulness in understanding the topics and 51.2% step by step methodology. The average age of the students was 20 years with a standard deviation of 2.01 years.
publishDate 2019
dc.date.issued.none.fl_str_mv 2019-11-26
dc.date.accessioned.none.fl_str_mv 2021-10-29T01:16:14Z
dc.date.available.none.fl_str_mv 2021-10-29T01:16:14Z
dc.type.spa.fl_str_mv Artículo de revista
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url http://repositorio.ufps.edu.co/handle/ufps/464
https://doi.org/10.1088/1742-6596/1408/1/012015
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Journal of Physics: Conference Series ISSN: 1742-6596, 2019 vol:1408 fasc: N/A págs: 1 - 5, DOI:10.1088/1742-6596
dc.relation.citationedition.spa.fl_str_mv Vol. 1408. No. (2019)
dc.relation.citationendpage.spa.fl_str_mv 5
dc.relation.citationissue.spa.fl_str_mv (2019)
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 1408
dc.relation.cites.none.fl_str_mv L Rincón Leal et al 2019 J. Phys.: Conf. Ser. 1408 012015
dc.relation.ispartofjournal.spa.fl_str_mv Journal of Physics: Conference Series
dc.rights.eng.fl_str_mv Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence.
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eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 6 Páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Journal of Physics: Conference Series
dc.source.spa.fl_str_mv https://iopscience.iop.org/issue/1742-6596/1408/1
institution Universidad Francisco de Paula Santander
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spelling RINCON LEAL, OLGA LUCY657186ce302d50143b44589e9542b504Vergel Ortega, Mawencye1db451514df4d6eb054b4e8e3bf1e42600Paz Montes, Luisa Stella0e3478b349a3546b22afc7ddef1720a26002021-10-29T01:16:14Z2021-10-29T01:16:14Z2019-11-26http://repositorio.ufps.edu.co/handle/ufps/464https://doi.org/10.1088/1742-6596/1408/1/012015The purpose of this research was to establish a relationship between mobile devices and the development of critical thinking in students of the differential equations subject. The research had a quantitative and qualitative methodological approach with quasi-experimental design, the sample was 110 students. Results: The integration of mobile applications favored and motivated the learning of the applications of differential equations, where the student develops critical thinking at the moment that creates, discovers, imagines and assumes. At the same time, when interacting with colleagues, it implements autonomous and collaborative learning, with the ease of access to information. Conclusion: Regarding the perception of students about this tool, 40% highlight its usefulness in understanding the topics and 51.2% step by step methodology. The average age of the students was 20 years with a standard deviation of 2.01 years.6 Páginasapplication/pdfengJournal of Physics: Conference SeriesJournal of Physics: Conference Series ISSN: 1742-6596, 2019 vol:1408 fasc: N/A págs: 1 - 5, DOI:10.1088/1742-6596Vol. 1408. No. (2019)5(2019)11408L Rincón Leal et al 2019 J. Phys.: Conf. Ser. 1408 012015Journal of Physics: Conference SeriesContent from this work may be used under the terms of the Creative Commons Attribution 3.0 licence.info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2https://iopscience.iop.org/issue/1742-6596/1408/1Mobile devices for the development of critical thinking in the learning of differential equationsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Cantoral R 1993 Hacia una didáctica del cálculo basada en la cognición Antologías I ed Farfán R M (México: Publicaciones Centroamericanas) p 391Cuevas C, Pluvinage F 2009 Cálculo y tecnología: El cálculo y su enseñanza (México: Instituto Politécnico Nacional)Ímaz C, J, Moreno L 2010 La génesis y la enseñanza del cálculo. Las trampas del rigor (México: Trillas)Hitt F, Dufour S 2014 Un análisis sobre el concepto de derivada en el nivel preuniversitario, del rol de un libro de texto y su posible conexión con el uso de tecnología La Enseñanza del Cálculo Diferencial e Integral ed Cuevas C (México: Pearson Educación)Dreyfus T 1990 Advanced mathematical thinking Series Mathematics and Cognition: A Research Synthesis by the International Group for the Psychology of Mathematics Education ed Nesher P (New York: Cambridge University Press)Vergel M, Martinez J, Zafra S 2015 APPS en el rendimiento académico y auto concepto de estudiantes de ingeniería Logos Ciencia & Tecnología 6(2) 198Rincón O, Vergel M, Ortega S 2015 El blog como estrategia didáctica innovadora en el aprendizaje del cálculo El Cálculo y su Enseñanza 6 45Ruíz E 2014 La tecnología en el aula de clase: De las calculadoras graficadoras a los ambientes virtuales de aprendizaje Lat Am J. Phys Educ 8 (2) 345Mendoza L, Gómez M, Gómez R 2013 Desarrollo de habilidades cognitivas y tecnológicas con aprendizaje móvil Revista de Investigación Educativa de La Escuela de Graduados en Educación 3(6) 30Zambrano J 2009 Aprendizaje móvil (M-learning) Revista Inventum 4(7) 38Castro P, González-Palta 2016 Percepción de estudiantes de psicología sobre el uso de facebook para desarrollar pensamiento crítico Revista Formación Universitaria 9(1) 45Blázquez F 2001 Sociedad de la información y educación (España: Consejería de Educación, Ciencia y Tecnología)Rodriguez R 2011 Repensar la relación entre las TIC y la enseñanza universitaria: Problemas y soluciones. Profesorado Revista de Currículum y Formación del Profesorado 15(1) 9Stemberg R 1999 Inteligent as developing expertise Contemporary Educational Psychology 24(4) 359Lim C, Lee S, Richards C 2006 Developing interactive objects for a computing mathematics models International Jorunal on E-learning 5 221De león I, Suárez J 2008 El Diseño instruccional y tecnología de la información y la comunicación posibilidades y limitaciones Revista de Investigación 65 57Rincón O 2016 TIC en la enseñanza de las ecuaciones diferenciales de primer orden Revista Logos Ciencia & Tecnología 8(1) 89Guacaneme E, Mora L 2012 La educación del profesor de matemáticas como campo de investigación Revista Papeles 4(7) 102ORIGINALMobile devices for the development of critical thinking in the learning of differential equations.pdfMobile devices for the development of critical thinking in the learning of differential 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learning of differential equations.pdf.jpgMobile devices for the development of critical thinking in the learning of differential equations.pdf.jpgGenerated Thumbnailimage/jpeg9415https://repositorio.ufps.edu.co/bitstream/ufps/464/4/Mobile%20devices%20for%20the%20development%20of%20critical%20thinking%20in%20the%20learning%20of%20differential%20equations.pdf.jpg4fbca5a9164202a501c0eb466fdd7bc0MD54metadata only accessufps/464oai:repositorio.ufps.edu.co:ufps/4642022-05-23 11:01:34.831metadata only accessRepositorio Universidad Francisco de Paula 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 incorporada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GA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