Didactic Engineering as a research method in physics teaching

Several mathematical concepts have application in physics; this paper reports the results of a pedagogical investigation based on the methodology known as didactic engineering, which has been proposed with the aim of improving the skills exhibited by a group of eleventh grade students from a private...

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Autores:
Avendaño Castro, William Rodrigo
Gamboa Suárez, Audin Aloiso
Prada Nuñez, Raul
Tipo de recurso:
Article of journal
Fecha de publicación:
2021
Institución:
Universidad Francisco de Paula Santander
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Repositorio Digital UFPS
Idioma:
eng
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oai:repositorio.ufps.edu.co:ufps/7020
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Está bajo una licencia Creative Commons Atribución 4.0 Internacional (CC BY 4.0).
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dc.title.eng.fl_str_mv Didactic Engineering as a research method in physics teaching
title Didactic Engineering as a research method in physics teaching
spellingShingle Didactic Engineering as a research method in physics teaching
title_short Didactic Engineering as a research method in physics teaching
title_full Didactic Engineering as a research method in physics teaching
title_fullStr Didactic Engineering as a research method in physics teaching
title_full_unstemmed Didactic Engineering as a research method in physics teaching
title_sort Didactic Engineering as a research method in physics teaching
dc.creator.fl_str_mv Avendaño Castro, William Rodrigo
Gamboa Suárez, Audin Aloiso
Prada Nuñez, Raul
dc.contributor.author.none.fl_str_mv Avendaño Castro, William Rodrigo
Gamboa Suárez, Audin Aloiso
Prada Nuñez, Raul
description Several mathematical concepts have application in physics; this paper reports the results of a pedagogical investigation based on the methodology known as didactic engineering, which has been proposed with the aim of improving the skills exhibited by a group of eleventh grade students from a private institution in the interpretation of kinematic graphs. The concept of the slope of the straight line and how this mathematical concept can represent velocity or acceleration according to the variables considered in the kinematics graph provided was enhanced in the pedagogical intervention. This methodology offers a process of internal validation, after comparing the results obtained in a knowledge test at two different points in time (pre-test and post-test). The results allowed us to identify improvements in all students in terms of basic kinematics graph interpretation skills, and a group of students stood out by advancing in more complex reasoning and interpretation processes. These results contribute to the improvement of the pedagogical practices of Physics teachers at secondary and middle school levels, making them more competent when they enter higher education.
publishDate 2021
dc.date.issued.none.fl_str_mv 2021-08-26
dc.date.accessioned.none.fl_str_mv 2024-04-23T16:19:24Z
dc.date.available.none.fl_str_mv 2024-04-23T16:19:24Z
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/7020
dc.identifier.doi.none.fl_str_mv 10.1088/1742-6596/2102/1/012002
url https://repositorio.ufps.edu.co/handle/ufps/7020
identifier_str_mv 10.1088/1742-6596/2102/1/012002
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Journal of Physics: Conference Series 2102 (2021) 012002.doi:10.1088/1742-6596/2102/1/012002
dc.relation.citationedition.spa.fl_str_mv Vol.2102 No. (2021)
dc.relation.citationendpage.spa.fl_str_mv 8
dc.relation.citationissue.spa.fl_str_mv (2021)
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 2102
dc.relation.cites.none.fl_str_mv R Prada-Núñez et al 2021 J. Phys.: Conf. Ser. 2102 012002
dc.rights.eng.fl_str_mv Está bajo una licencia Creative Commons Atribución 4.0 Internacional (CC BY 4.0).
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dc.rights.creativecommons.spa.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
rights_invalid_str_mv Está bajo una licencia Creative Commons Atribución 4.0 Internacional (CC BY 4.0).
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dc.format.extent.spa.fl_str_mv 8 Páginas
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dc.publisher.spa.fl_str_mv Journal of Physics: Conference Series
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institution Universidad Francisco de Paula Santander
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spelling Avendaño Castro, William Rodrigo4248a028f3a80901215fafb6fbb8bb6f600Gamboa Suárez, Audin Aloisob1f6d85d58c42023cf3a841778211de1600Prada Nuñez, Raul4041bc014f9b5efbfb51661f6e33594b6002024-04-23T16:19:24Z2024-04-23T16:19:24Z2021-08-26https://repositorio.ufps.edu.co/handle/ufps/702010.1088/1742-6596/2102/1/012002Several mathematical concepts have application in physics; this paper reports the results of a pedagogical investigation based on the methodology known as didactic engineering, which has been proposed with the aim of improving the skills exhibited by a group of eleventh grade students from a private institution in the interpretation of kinematic graphs. The concept of the slope of the straight line and how this mathematical concept can represent velocity or acceleration according to the variables considered in the kinematics graph provided was enhanced in the pedagogical intervention. This methodology offers a process of internal validation, after comparing the results obtained in a knowledge test at two different points in time (pre-test and post-test). The results allowed us to identify improvements in all students in terms of basic kinematics graph interpretation skills, and a group of students stood out by advancing in more complex reasoning and interpretation processes. These results contribute to the improvement of the pedagogical practices of Physics teachers at secondary and middle school levels, making them more competent when they enter higher education.8 Páginasapplication/pdfengJournal of Physics: Conference SeriesJournal of Physics: Conference Series 2102 (2021) 012002.doi:10.1088/1742-6596/2102/1/012002Vol.2102 No. (2021)8(2021)12102R Prada-Núñez et al 2021 J. Phys.: Conf. Ser. 2102 012002Está bajo una licencia Creative Commons Atribución 4.0 Internacional (CC BY 4.0).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/10.1088/1742-6596/2102/1/012002/metaDidactic Engineering as a research method in physics teachingArtículo 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_970fb48d4fbd8a85Artigue M 1995 Ingeniería didáctica Ingeniería Didáctica en Educación Matemática ed Artigue M, Douady R, Moreno L, Gómez P (Colonia San Rafael: Grupo Editorial Iberoamérica) Capítulo 4 p 33De Faria E 2006 Ingeniería didáctica Cuadernos de investigación y Formación en Educación Matemática 1(2) 1Douady R 1996 Ingeniería didáctica y evolución de la relación con el saber en las matemáticas de collègeseconde Enseñanza de las Matemáticas: Relación Entre Saberes, Programas y Prácticas ed Barbin E, Douady R (París: Toxiques éditions)Brousseau G 1997 Theory of Didactical Situations in Mathematics. Didactique des Mathématiques 1970– 1990 (New York: Kluwer Academic Publishers)Chevallard Y 1991 La Transposición Didáctica: Del Saber Dabio al Saber Enseñado (Buenos Aires: AIQUE)Artigue M, Douday R, Moreno I, Gómez P 1995 Ingeniería Didáctica en Educación Matemática (Colonia San Rafael: Grupo Editorial Iberoamérica)Flores C D, Rivera M I, Tejada Y 2016 Una experiencia didáctica con incidencia en la interpretación de gráficas cinemáticas Revista de la Escuela de Ciencias de la Educación 11(2) 154Glazer N 2011 Challenges with graph interpretation: a review of the literatura Studies in Science Education 47(2) 183Tairab H, Khalaf A 2004 How do secondary school science students interpret and construct scientific graphs? Journal of Biological Education 38(3) 127Urban H 2015 Motion sensors in mathematics teaching: learning tools for understanding general math concepts? International Journal of Mathematical Education in Science and Technology 46(4) 584Wainer H 1992 Understanding graphs and tables Educational Researcher 21(1) 1Latorre A 2010 La investigación-acción. Conocer y Cambiar la Práctica Educativa (Barcelona: Graó)Beichner R J 1994 Testing student interpretation of kinematics graphs American Journal of Physis 62(8) 750Brousseau G 1986 Fundamentos y métodos de la Didáctica de la Matemática Recherches en Didactique des Mathematiques 7(2) 33LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.ufps.edu.co/bitstream/ufps/7020/2/license.txt2f9959eaf5b71fae44bbf9ec84150c7aMD52open accessORIGINALPrada-Núñez_2021_J._Phys.__Conf._Ser._2102_012002.pdfPrada-Núñez_2021_J._Phys.__Conf._Ser._2102_012002.pdfapplication/pdf965693https://repositorio.ufps.edu.co/bitstream/ufps/7020/1/Prada-N%c3%ba%c3%b1ez_2021_J._Phys.__Conf._Ser._2102_012002.pdf911eaa4d460b9559a2dbfe1cebd9ef95MD51open accessTEXTPrada-Núñez_2021_J._Phys.__Conf._Ser._2102_012002.pdf.txtPrada-Núñez_2021_J._Phys.__Conf._Ser._2102_012002.pdf.txtExtracted 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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, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

6. Limitación de responsabilidad.
A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

7. Término.

a.	Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.

b.	Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.

8. Varios.

a.	Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.

b.	Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.

c.	Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.

d.	Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.
0000-0002-7510-82224248a028f3a80901215fafb6fbb8bb6f6000000-0001-6145-17864041bc014f9b5efbfb51661f6e33594b600