Understanding of derivative as an essential part of the study of differential calculus

The research aimed to design a teaching strategy and analyze benefits of its implementation in the use of technologies like GeoGebra and interactive materials that offers the web as enabling tools and teaching as mediation is aimed at students in grade 11 middle education. Tests pre-test and post-te...

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Autores:
Vergel Ortega, Mawency
Pabón Gómez, Jorge Angelmiro
Rojas Suárez, Jhan Piero
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/1164
Acceso en línea:
http://repositorio.ufps.edu.co/handle/ufps/1164
Palabra clave:
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openAccess
License
Atribución 4.0 Internacional (CC BY 4.0)
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dc.title.eng.fl_str_mv Understanding of derivative as an essential part of the study of differential calculus
title Understanding of derivative as an essential part of the study of differential calculus
spellingShingle Understanding of derivative as an essential part of the study of differential calculus
title_short Understanding of derivative as an essential part of the study of differential calculus
title_full Understanding of derivative as an essential part of the study of differential calculus
title_fullStr Understanding of derivative as an essential part of the study of differential calculus
title_full_unstemmed Understanding of derivative as an essential part of the study of differential calculus
title_sort Understanding of derivative as an essential part of the study of differential calculus
dc.creator.fl_str_mv Vergel Ortega, Mawency
Pabón Gómez, Jorge Angelmiro
Rojas Suárez, Jhan Piero
dc.contributor.author.none.fl_str_mv Vergel Ortega, Mawency
Pabón Gómez, Jorge Angelmiro
Rojas Suárez, Jhan Piero
description The research aimed to design a teaching strategy and analyze benefits of its implementation in the use of technologies like GeoGebra and interactive materials that offers the web as enabling tools and teaching as mediation is aimed at students in grade 11 middle education. Tests pre-test and post-test and two experimental groups were applied control. It was verified that the teaching strategy has a positive influence on learning the experimental group improved the level of understanding of the concept of derivative and thus academic performance, in contrast to the control group to which is applied the traditional methodology.
publishDate 2019
dc.date.issued.none.fl_str_mv 2019-09-30
dc.date.accessioned.none.fl_str_mv 2021-11-19T21:01:55Z
dc.date.available.none.fl_str_mv 2021-11-19T21:01:55Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv http://repositorio.ufps.edu.co/handle/ufps/1164
dc.identifier.doi.none.fl_str_mv 10.1088/1742-6596/1329/1/012014
url http://repositorio.ufps.edu.co/handle/ufps/1164
identifier_str_mv 10.1088/1742-6596/1329/1/012014
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Journal of Physics: Conference Series
dc.relation.citationedition.spa.fl_str_mv Vol.1329 No.1.(2019)
dc.relation.citationendpage.spa.fl_str_mv 66
dc.relation.citationissue.spa.fl_str_mv 1 (2019)
dc.relation.citationstartpage.spa.fl_str_mv 60
dc.relation.citationvolume.spa.fl_str_mv 1329
dc.relation.cites.none.fl_str_mv Suárez, J. R., Vergel-Ortega, M., & Gómez, J. P. (2019, September). Understanding of derivative as an essential part of the study of differential calculus. In Journal of Physics: Conference Series (Vol. 1329, No. 1, p. 012014). IOP Publishing.
dc.relation.ispartofjournal.spa.fl_str_mv Journal of Physics: Conference Series
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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.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Journal of Physics: Conference Series
dc.publisher.place.spa.fl_str_mv Madrid , España
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institution Universidad Francisco de Paula Santander
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spelling Vergel Ortega, Mawencye1db451514df4d6eb054b4e8e3bf1e42600Pabón Gómez, Jorge Angelmiroc4054825a2316ec1cab727d7c8bdfd1cRojas Suárez, Jhan Piero96cb752d974d2a7f4f66513af6ebbf8d6002021-11-19T21:01:55Z2021-11-19T21:01:55Z2019-09-30http://repositorio.ufps.edu.co/handle/ufps/116410.1088/1742-6596/1329/1/012014The research aimed to design a teaching strategy and analyze benefits of its implementation in the use of technologies like GeoGebra and interactive materials that offers the web as enabling tools and teaching as mediation is aimed at students in grade 11 middle education. Tests pre-test and post-test and two experimental groups were applied control. It was verified that the teaching strategy has a positive influence on learning the experimental group improved the level of understanding of the concept of derivative and thus academic performance, in contrast to the control group to which is applied the traditional methodology.application/pdfengJournal of Physics: Conference SeriesMadrid , EspañaJournal of Physics: Conference SeriesVol.1329 No.1.(2019)661 (2019)601329Suárez, J. R., Vergel-Ortega, M., & Gómez, J. P. (2019, September). Understanding of derivative as an essential part of the study of differential calculus. In Journal of Physics: Conference Series (Vol. 1329, No. 1, p. 012014). IOP Publishing.Journal of Physics: Conference SeriesContent from this work may be used under the terms of the Creative 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/10.1088/1742-6596/1329/1/012014/metaUnderstanding of derivative as an essential part of the study of differential calculusArtículo 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_970fb48d4fbd8a85Vivant E 2013 City, Culture and Society 4 57Atchley RA, Strayer DL and Atchley P 2012 Plos One 7 51474Bermejo R, Hernández D, Ferrando M, Soto G, Sainz M and Prieto M 2010 Reifop 13 109Vergel M, Martínez J and Zafra S 2015 Revista Logos Ciencia & Tecnología 7 20Hosmer DW and Lemeshow S 2000 Communications in Statistics A 10 1043Rincón O, Vergel M and Zafra S 2017 Modelo de calidad servqual para evaluar factores que influyen en el uso de blogs como recurso didáctico del cálculo (Bogotá: Editorial Ibáñez)Landis J and Koch G 1977 Biometrics 33 159Chaparro F, Ortiz F and Bruges M 2006 Formulación de una estrategia de ciudad región del conocimiento para Bogotá. Una propuesta de acción (Bogotá: Universidad del Rosario)Secolsky Ch 1987 Journal of Educational Measurement 24 82Freire P 1997 Pedagogia da Esperança: Um reencontro com a pedagogia do oprimido (Rio de Janeiro: Paz e Terra)Salazar JP and Vergel M 2018 Hermeneusis de la práctica pedagógica y formación de estudiantes matemáticamente competentes. En Investigación y praxis en la enseñanza de las matemáticas (San José de Cúcuta: Universidad Simón Bolívar)Gil D 1987 Aportaciones del problem-solving al aprendizaje significativo de las ciencias. 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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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