Difficulties in the interpretation of kinematics graphs in secondary basic education students

This research reports the findings derived from the identification of the difficulties exhibited by a group of 76 students from different grades of basic secondary education in a private educational institution with an emphasis on science education. The students were given a questionnaire presenting...

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Autores:
Prada Nuñez, Raul
Gamboa Suárez, Audin Aloiso
Avendaño Castro, William Rodrigo
Tipo de recurso:
Article of journal
Fecha de publicación:
2022
Institución:
Universidad Francisco de Paula Santander
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/6921
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https://repositorio.ufps.edu.co/handle/ufps/6921
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Content from this work may be used under the terms of theCreative Commons Attribution 3.0 licence.
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dc.title.eng.fl_str_mv Difficulties in the interpretation of kinematics graphs in secondary basic education students
title Difficulties in the interpretation of kinematics graphs in secondary basic education students
spellingShingle Difficulties in the interpretation of kinematics graphs in secondary basic education students
title_short Difficulties in the interpretation of kinematics graphs in secondary basic education students
title_full Difficulties in the interpretation of kinematics graphs in secondary basic education students
title_fullStr Difficulties in the interpretation of kinematics graphs in secondary basic education students
title_full_unstemmed Difficulties in the interpretation of kinematics graphs in secondary basic education students
title_sort Difficulties in the interpretation of kinematics graphs in secondary basic education students
dc.creator.fl_str_mv Prada Nuñez, Raul
Gamboa Suárez, Audin Aloiso
Avendaño Castro, William Rodrigo
dc.contributor.author.none.fl_str_mv Prada Nuñez, Raul
Gamboa Suárez, Audin Aloiso
Avendaño Castro, William Rodrigo
description This research reports the findings derived from the identification of the difficulties exhibited by a group of 76 students from different grades of basic secondary education in a private educational institution with an emphasis on science education. The students were given a questionnaire presenting five situations based on the Position-Time graph associated with uniform rectilinear motion of particles. The research approach is of a quantitative nature at a descriptive level with a field design, since it was the students who filled in the instrument. It is highlighted as a finding in the opinion of the students that the subject has been seen in class, but due to the teacher’s methodology it is not fully understood by them. The results show that the students have a long list of difficulties mainly due to the lack of articulation of mathematical concepts in physical contexts, a situation that prevents them from analyzing the proposed statements, reasoning about the approaches, and improving in the process of searching for alternative solutions with clear arguments.
publishDate 2022
dc.date.issued.none.fl_str_mv 2022-10-22
dc.date.accessioned.none.fl_str_mv 2024-04-15T16:18:36Z
dc.date.available.none.fl_str_mv 2024-04-15T16:18:36Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv https://repositorio.ufps.edu.co/handle/ufps/6921
dc.identifier.doi.none.fl_str_mv 10.1088/1742-6596/2159/1/012019
url https://repositorio.ufps.edu.co/handle/ufps/6921
identifier_str_mv 10.1088/1742-6596/2159/1/012019
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Journal of Physics: Conference Series 2159 (2022) 012019 IOP Publishing doi:10.1088/1742-6596/2159/1/012019
dc.relation.citationedition.spa.fl_str_mv Vol.2159 No. (2022)
dc.relation.citationendpage.spa.fl_str_mv 8
dc.relation.citationissue.spa.fl_str_mv (2022)
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 2159
dc.relation.cites.none.fl_str_mv R Prada Núñez et al 2022 J. Phys.: Conf. Ser. 2159 012019
dc.rights.eng.fl_str_mv Content from this work may be used under the terms of theCreative Commons Attribution 3.0 licence.
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dc.rights.creativecommons.spa.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
rights_invalid_str_mv Content from this work may be used under the terms of theCreative Commons Attribution 3.0 licence.
https://creativecommons.org/licenses/by/4.0/
Atribución 4.0 Internacional (CC BY 4.0)
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eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 8 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/article/10.1088/1742-6596/2159/1/012019
institution Universidad Francisco de Paula Santander
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spelling Prada Nuñez, Raul4041bc014f9b5efbfb51661f6e33594b600Gamboa Suárez, Audin Aloisob1f6d85d58c42023cf3a841778211de1600Avendaño Castro, William Rodrigo4248a028f3a80901215fafb6fbb8bb6f6002024-04-15T16:18:36Z2024-04-15T16:18:36Z2022-10-22https://repositorio.ufps.edu.co/handle/ufps/692110.1088/1742-6596/2159/1/012019This research reports the findings derived from the identification of the difficulties exhibited by a group of 76 students from different grades of basic secondary education in a private educational institution with an emphasis on science education. The students were given a questionnaire presenting five situations based on the Position-Time graph associated with uniform rectilinear motion of particles. The research approach is of a quantitative nature at a descriptive level with a field design, since it was the students who filled in the instrument. It is highlighted as a finding in the opinion of the students that the subject has been seen in class, but due to the teacher’s methodology it is not fully understood by them. The results show that the students have a long list of difficulties mainly due to the lack of articulation of mathematical concepts in physical contexts, a situation that prevents them from analyzing the proposed statements, reasoning about the approaches, and improving in the process of searching for alternative solutions with clear arguments.8 Páginasapplication/pdfengJournal of Physics: Conference SeriesJournal of Physics: Conference Series 2159 (2022) 012019 IOP Publishing doi:10.1088/1742-6596/2159/1/012019Vol.2159 No. (2022)8(2022)12159R Prada Núñez et al 2022 J. Phys.: Conf. Ser. 2159 012019Content from this work may be used under the terms of theCreative Commons Attribution 3.0 licence.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2https://iopscience.iop.org/article/10.1088/1742-6596/2159/1/012019Difficulties in the interpretation of kinematics graphs in secondary basic education studentsArtículo 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_970fb48d4fbd8a85Vélez R M, Ponce C V, Solórzano, S E 2016 Importancia de la comunicación en el aprendizaje SATHIR (11) 252Domínguez M. R. 2009 La importancia de la comunicación no verbal en el desarrollo cultural de las sociedades Razón y Palabra 14(70) 1Enkvist I 2010 El éxito educativo finlandés Bordón Revista de Pedagogía 62(3) 49Castro A, Ramírez R 2013 Enseñanza de las ciencias naturales para el desarrollo de competencias científicas Amazonia Investiga 2(3) 30Congreso de la República de Colombia 1994 Ley 115 (Colombia: Congreso de la República de Colombia)Ministerio de Educación Nacional 1998 Lineamientos Curriculares de Ciencias Naturales y Educación Ambiental (Colombia: Ministerio de Educación Nacional)Ministerio de Educación Nacional 2004 Estándares Básicos de Competencias en Ciencias Naturales y Ciencias Sociales (Colombia: Ministerio de Educación Nacional)Alvarado L, García M 2008 Características más relevantes del paradigma socio-crítico: su aplicación en investigaciones de educación ambiental y de enseñanza de las ciencias realizadas en el Doctorado de Educación del Instituto Pedagógico de Caracas Sapiens: Revista Universitaria de Investigación 9(2) 187Martínez C 2012 Estadística y Muestreo (Bogotá: Ecoe Ediciones)Tejeda S, Domínguez A 2015 Dificultades conceptuales en la relación de gráficas de cinemática: estudio de casos Latin-American Journal of Physics Education 9(S1) 1Hernández-Sampieri R, Mendoza C 2018 Metodología de la Investigación (México: McGraw-Hill)Amón J 2000 Estadística para Psicólogos II. Probabilidad. Estadística Inferencial (Madrid: Pirámide)Fernández M T, Tuset A M, Pérez R E, Leyva A C 2009 Concepciones de los maestros sobre la enseñanza y el aprendizaje y sus prácticas educativas en clases de ciencias naturales Enseñanza de las Ciencias: Revista de Investigación y Experiencias Didácticas 27(2) 287Prada-Núñez R, Hernández-Suárez C, Ramírez-Leal P 2016 Comprensión de la noción de función y la articulación de los registros semióticos que la representan entre estudiantes que ingresan a un programa de ingeniería Revista Científica 2(25) 188Martínez J, Iturriza H 2016 La Resolución de problemas como recurso instruccional para la enseñanza de la Cinemática en el contexto rural Revista Multidisciplinaria Dialógica 13(1) 149Choco A F 2019 Dificultades y errores de estudiantes de grado undécimo en torno al estudio de las funciones racionales (Colombia: Universidad del Valle)ORIGINALDifficulties in the interpretation of kinematics graphs in.pdfDifficulties in the interpretation of 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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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