Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom

This text shows the initial findings of an investigation that sought to implement an alternative model for the teaching of mathematics at a public university in Norte de Santander, Colombia, using virtual platforms to support teaching. The research paradigm focuses on the mixed method to identify th...

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Autores:
Prada Nuñez, Raul
HERNANDEZ SUAREZ, CESAR AUGUSTO
Aloiso, Audin
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/851
Acceso en línea:
http://repositorio.ufps.edu.co/handle/ufps/851
Palabra clave:
Rights
openAccess
License
Atribución 4.0 Internacional (CC BY 4.0)
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dc.title.eng.fl_str_mv Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom
title Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom
spellingShingle Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom
title_short Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom
title_full Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom
title_fullStr Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom
title_full_unstemmed Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom
title_sort Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom
dc.creator.fl_str_mv Prada Nuñez, Raul
HERNANDEZ SUAREZ, CESAR AUGUSTO
Aloiso, Audin
dc.contributor.author.none.fl_str_mv Prada Nuñez, Raul
HERNANDEZ SUAREZ, CESAR AUGUSTO
Aloiso, Audin
description This text shows the initial findings of an investigation that sought to implement an alternative model for the teaching of mathematics at a public university in Norte de Santander, Colombia, using virtual platforms to support teaching. The research paradigm focuses on the mixed method to identify the positive elements and aspects to improve of this didactic proposal. Among the findings, it is highlighted that one of the difficulties in implementing this tool refers to the limitations of space in the material attached to the platform, which meant proposing only the links of the material created. Implications for teacher training and suggestions for future implementations are discussed.
publishDate 2019
dc.date.issued.none.fl_str_mv 2019
dc.date.accessioned.none.fl_str_mv 2021-11-10T18:47:41Z
dc.date.available.none.fl_str_mv 2021-11-10T18:47:41Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.doi.none.fl_str_mv 10.1088/1742-6596/1388/1/012046
url http://repositorio.ufps.edu.co/handle/ufps/851
identifier_str_mv 10.1088/1742-6596/1388/1/012046
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:1388 fasc: 1 págs: 1 - 5
dc.relation.citationedition.spa.fl_str_mv Vol.1388, 012046 (2019)
dc.relation.citationendpage.spa.fl_str_mv 5
dc.relation.citationissue.spa.fl_str_mv 012046 (2019)
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 1388
dc.relation.cites.none.fl_str_mv Prada, R., Hernández, C. A. y Gamboa, A. A. (2019). Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom. Journal of Physics: Conference Series, 1388(012046), 1–5. https://doi.org/10.1088/1742-6596/1388/1/012046
dc.relation.ispartofjournal.spa.fl_str_mv Journal of Physics: Conference Series
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.spa.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv Atribución 4.0 Internacional (CC BY 4.0)
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dc.format.extent.spa.fl_str_mv 5 páginas
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dc.publisher.spa.fl_str_mv Journal of Physics: Conference Series
dc.publisher.place.spa.fl_str_mv Reino Unido
dc.source.spa.fl_str_mv https://iopscience.iop.org/article/10.1088/1742-6596/1388/1/012046
institution Universidad Francisco de Paula Santander
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spelling Prada Nuñez, Raul4041bc014f9b5efbfb51661f6e33594b600HERNANDEZ SUAREZ, CESAR AUGUSTOe68aa9e1677f4d5e4b155d813077e750600Aloiso, Audin62ca6fe4e04717703491d6ff2bf332f46002021-11-10T18:47:41Z2021-11-10T18:47:41Z2019http://repositorio.ufps.edu.co/handle/ufps/85110.1088/1742-6596/1388/1/012046This text shows the initial findings of an investigation that sought to implement an alternative model for the teaching of mathematics at a public university in Norte de Santander, Colombia, using virtual platforms to support teaching. The research paradigm focuses on the mixed method to identify the positive elements and aspects to improve of this didactic proposal. Among the findings, it is highlighted that one of the difficulties in implementing this tool refers to the limitations of space in the material attached to the platform, which meant proposing only the links of the material created. Implications for teacher training and suggestions for future implementations are discussed.5 páginasapplication/pdfengJournal of Physics: Conference SeriesReino UnidoJournal of Physics: Conference Series ISSN: 1742-6596, 2019 vol:1388 fasc: 1 págs: 1 - 5Vol.1388, 012046 (2019)5012046 (2019)11388Prada, R., Hernández, C. A. y Gamboa, A. A. (2019). Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroom. Journal of Physics: Conference Series, 1388(012046), 1–5. https://doi.org/10.1088/1742-6596/1388/1/012046Journal of Physics: Conference SeriesContent from this work may be used under the terms of theCreative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltdinfo:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2https://iopscience.iop.org/article/10.1088/1742-6596/1388/1/012046Different scenarios for the teaching of mathematics with the support of virtual platforms: Flipped classroomArtículo 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_970fb48d4fbd8a85Goig Martinez R M 2014 Formación del profesorado en la sociedad digital: Investigación, innovación y recursos didácticos (Madrid: Universidad Nacional de Educación a Distancia)Bergmann J, Sams A 2014 Dale la vuelta a tu clase (Madrid: Ediciones SM)García L 2013 Flipped classroom, ¿b-learning o EaD? Contextos Universitarios Mediados 13(9) 1-4Calvillo A J, Martín D 2017 The flipped learning. Guía gamificada para novatos y no tan novatos (España: UNIR Editorial)Martínez-Olvera W, Esquivel-Gámez I, Martínez-Castillo J 2014 Aula invertida o modelo invertido de aprendizaje: Origen, sustento e implicaciones Los Modelos Tecno-Educativos, revolucionando el aprendizaje del siglo XXI ed Esquivel Gamez I (México: Esquivel Gamez I) chapter 10 pp 143 -160Turón J Santiago R, Diez A 2014 The Flipped Classroom: Cómo convertir la escuela en un espacio de aprendizaje (España: Grupo Océano)González E 2017 Aplicación del modelo educativo Flipped Classroom con soporte de la plataforma Edmodo Revista Iberoamericana de Producción Académica y Gestión Educativa 4 1-14Hernández-Silva C, Tecpan S 2017 Aula invertida mediada por el uso de plataformas virtuales: Un estudio de caso en la formación de profesores de física Estudios Pedagógicos 53 193-204Sadaghiani H R 2012 Online prelectures: An alternative to textbook reading assignments The Physics Teacher 50(5) 301-303Zainuddin Z, Halili H S 2016 Flipped classroom research and trends from different fields of study International Review of Research in Open and Distributed Learning 17 313-340West R E, Graham C R 2007 Benefits and challenges of using live modeling to help preservice teachers transfer technology integration principles Journal of Computing in Teacher Education 23 131-141Mora B F, Hernández C A 2017 Las aulas invertidas: una estrategia para enseñar y otra forma de aprender física Revista Inventum 12 42-51Velásquez S Hernández C, Prada R 2015 Flipped Classroom (Aula Invertida): Una modelo que integra las competencias TIC del docente para mejorar el desarrollo de competencias matemáticas en los estudiantes II Semana Internacional X Semana de Ciencia Tecnología e Innovación (Cúcuta) (Cúcuta: Universidad Francisco de Paula Santander) pp 63-69Velásquez S, Hernández C 2016 Estrategias para el desarrollo de competencias matemáticas a partir del modelo flipped classroom (aula invertida) III Semana Internacional XI Semana de la Ciencia Tecnología e Innovación (Cúcuta) (Cúcuta: Universidad Francisco de Paula Santander)Velázquez S, Hernández C 2017 El Aula Invertida como estrategia pedagógica para desarrollar competencias matemáticas en la formación inicial de docentes VIII CIBEM Congreso Iberoamericano de Educación Matemática (Madrid) (Madrid: Universidad Complutense de Madrid) pp 156-164Hernández C, Velásquez S, Ayala E 2018 Desarrollo de competencias matemáticas: diseño de una secuencia didáctica con modelo aula invertida II Congreso Internacional de Enseñanza y Aprendizaje de las Matemáticas Mediadas por TIC (Quindio) (Armenia: Universidad del Quindío)ORIGINALDifferent scenarios for the teaching of mathematics with the support of virtual platforms Flipped classroom.pdfDifferent scenarios for the teaching of mathematics with the support of virtual platforms Flipped 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mathematics with the support of virtual platforms Flipped classroom.pdf.jpgDifferent scenarios for the teaching of mathematics with the support of virtual platforms Flipped classroom.pdf.jpgGenerated Thumbnailimage/jpeg9668https://repositorio.ufps.edu.co/bitstream/ufps/851/4/Different%20scenarios%20for%20the%20teaching%20of%20mathematics%20with%20the%20support%20of%20virtual%20platforms%20Flipped%20classroom.pdf.jpgce4f8ca8d0fe932d5f42605dfc18d248MD54open accessufps/851oai:repositorio.ufps.edu.co:ufps/8512022-05-23 10:52:18.496open 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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