Project based pedagogy in the development of physical-mathematical thinking

Physical-mathematical thinking is the visible representation of the relationship between physics and mathematics. It is based on the development of the five types of mathematical thinking and leads to the consolidation of the learning of physics through the construction, interpretation, abstraction...

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Autores:
GALLARDO PÉREZ, HENRY DE JESÚS
Villamizar Jaimes, D
MALDONADO ESTÉVEZ, ERIKA ALEJANDRA
Tipo de recurso:
Article of journal
Fecha de publicación:
2020
Institución:
Universidad Francisco de Paula Santander
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/748
Acceso en línea:
http://repositorio.ufps.edu.co/handle/ufps/748
Palabra clave:
Rights
openAccess
License
Atribución 4.0 Internacional (CC BY 4.0)
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dc.title.eng.fl_str_mv Project based pedagogy in the development of physical-mathematical thinking
title Project based pedagogy in the development of physical-mathematical thinking
spellingShingle Project based pedagogy in the development of physical-mathematical thinking
title_short Project based pedagogy in the development of physical-mathematical thinking
title_full Project based pedagogy in the development of physical-mathematical thinking
title_fullStr Project based pedagogy in the development of physical-mathematical thinking
title_full_unstemmed Project based pedagogy in the development of physical-mathematical thinking
title_sort Project based pedagogy in the development of physical-mathematical thinking
dc.creator.fl_str_mv GALLARDO PÉREZ, HENRY DE JESÚS
Villamizar Jaimes, D
MALDONADO ESTÉVEZ, ERIKA ALEJANDRA
dc.contributor.author.none.fl_str_mv GALLARDO PÉREZ, HENRY DE JESÚS
Villamizar Jaimes, D
MALDONADO ESTÉVEZ, ERIKA ALEJANDRA
description Physical-mathematical thinking is the visible representation of the relationship between physics and mathematics. It is based on the development of the five types of mathematical thinking and leads to the consolidation of the learning of physics through the construction, interpretation, abstraction and consolidation of meanings for the teacher and the student about physical phenomena. The work allows for the implementation of a pedagogical strategy based on project-based pedagogy, which facilitates the development and application of mathematical algorithms for the analysis, understanding and explanation of physics by students in the context of collaborative field work. The study is framed in the quantitative paradigm, in a quasi-experimental design, working with control and experimental groups. Pre-test is applied to identify the development of physical-mathematical thinking in students and as a support to the design of the intervention proposal. Once the proposal is developed, the results are evaluated by means of a post-test that allows identifying significant improvements in the students' physical-mathematical thinking.
publishDate 2020
dc.date.issued.none.fl_str_mv 2020-12-16
dc.date.accessioned.none.fl_str_mv 2021-11-08T15:17:30Z
dc.date.available.none.fl_str_mv 2021-11-08T15:17:30Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.doi.none.fl_str_mv 10.1088/1742-6596/1674/1/012013
url http://repositorio.ufps.edu.co/handle/ufps/748
identifier_str_mv 10.1088/1742-6596/1674/1/012013
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.1674 No.1.(2020)
dc.relation.citationendpage.spa.fl_str_mv 12013-7
dc.relation.citationissue.spa.fl_str_mv 1 (2020)
dc.relation.citationstartpage.spa.fl_str_mv 12013-1
dc.relation.citationvolume.spa.fl_str_mv 1674
dc.relation.cites.none.fl_str_mv Pérez, H. G., Jaimes, D. V., & Maldonado, E. (2020, December). Project based pedagogy in the development of physical-mathematical thinking. In Journal of Physics: Conference Series (Vol. 1674, No. 1, p. 012013). IOP Publishing.
dc.relation.ispartofjournal.spa.fl_str_mv Journal of Physics: Conference Series
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institution Universidad Francisco de Paula Santander
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spelling GALLARDO PÉREZ, HENRY DE JESÚS65e8d56df3770f30fa30193266191212600Villamizar Jaimes, D3986ffc1f73b725a861319209c3b445eMALDONADO ESTÉVEZ, ERIKA ALEJANDRAcfa31589bfc3d592080b6f5f5b6e6ece2021-11-08T15:17:30Z2021-11-08T15:17:30Z2020-12-16http://repositorio.ufps.edu.co/handle/ufps/74810.1088/1742-6596/1674/1/012013Physical-mathematical thinking is the visible representation of the relationship between physics and mathematics. It is based on the development of the five types of mathematical thinking and leads to the consolidation of the learning of physics through the construction, interpretation, abstraction and consolidation of meanings for the teacher and the student about physical phenomena. The work allows for the implementation of a pedagogical strategy based on project-based pedagogy, which facilitates the development and application of mathematical algorithms for the analysis, understanding and explanation of physics by students in the context of collaborative field work. The study is framed in the quantitative paradigm, in a quasi-experimental design, working with control and experimental groups. Pre-test is applied to identify the development of physical-mathematical thinking in students and as a support to the design of the intervention proposal. Once the proposal is developed, the results are evaluated by means of a post-test that allows identifying significant improvements in the students' physical-mathematical thinking.application/pdfengJournal of Physics: Conference SeriesJournal of Physics: Conference SeriesVol.1674 No.1.(2020)12013-71 (2020)12013-11674Pérez, H. G., Jaimes, D. V., & Maldonado, E. (2020, December). Project based pedagogy in the development of physical-mathematical thinking. In Journal of Physics: Conference Series (Vol. 1674, No. 1, p. 012013). 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/10.1088/1742-6596/1674/1/012013/metaProject based pedagogy in the development of physical-mathematical thinkingArtículo 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_970fb48d4fbd8a85Sánchez M 2002 La investigación sobre el desarrollo y la enseñanza de las habilidades de pensamiento Revista Electrónica de Investigación Educativa 4 1González E 2004 Conocimiento y evolución de la humanidad ACIMED 12 1Morín E, Ciurana R and Motta D 2003 Educar en la Era Planetaria. El Pensamiento Complejo Como un Método de Aprendizaje en el Eror y la Incertidumbre Humana (España: Ediciones Universidad de Valladolid)Moreira M 2014 Enseñanza de la física: aprendizaje significativo, aprendizaje mecánico y criticidad Revista de Enseñanza de la Física 26 45Castiblanco O and Viscaíno D 2009 La didáctica de la física desde la formación de imágenes en el pensamiento Journal of Science Education 10 75Solano N, Prada R and Fernández R 2018 Beliefs towards mathematics in elementary education teachers Journal of Research in Science, Mathematics and Technology Education 1 329Viscaíno D and Castiblanco O 2009 Imágenes permisibles, correctas y pertinentes en el pensamiento físico-matemático Ingenio Libre 1 57León G L 2014 Aproximaciones a la mediación pedagógica Revista Electrónica Calidad en la Educación Superior 5 136Carretero M 1998 Constructivismo y Educación (México: Progreso)Coll C 1991 Psicología y Currículo (Barcelona: Paidós)Pozo J 1997 Teorías Cognitivas del Aprendizaje (Madrid: Morata)Flórez R 1994 Hacia una Pedagogía del Conocimiento (Bogotá: McGraw Hill)Vygotsky L 1979 El Desarrollo de los Procesos Psicológicos Superiores (Barcelona: Grijalbo)Pérez A 1989 Análisis Didáctico de las Teorías del Aprendizaje (Málaga: Secretariado de Publicaciones de la Universidad de Málaga)Agudelo A and Flores H 1997 Proyecto Pedagógico de Aula (Caracas: Ministerio de Educación Cultura y Deportes)Alfaro M 2004 Planificación del Aprendizaje y la Enseñanza (Caracas: Fedupel)Kauffman A and Rodríguez M 1993 La Escuela y los Textos (Buenos Aires: Santillana)Brousseau G 2007 Iniciación al Estudio de la Teoría de las Situaciones Didácticas (Buenos Aires: Libros del Zorzal)Hernández R, Fernández C and Baptista M 2014 Metodología de la Investigación, 6 edición (México: MCGraw-Hill)Attorresi H, Lozzia G, Abal F, Galibert M and Aguerri M 2009 Teoría de respuesta al Ítem. Conceptos básicos y aplicaciones para la medición de constructos psicológicos Revista Argentina de Clínica Psicológica 18 179Hidalgo-Montesinos M and French B 2016 Una introducción didáctica a la teoría de respuesta al ítem para comprender la construcción de escalas Revista de Psicología Clínica con Niños y Adolescentes 3 13Rodríguez M 2011 La teoría del aprendizaje significativo: una revisión aplicable a la escuela actual Revista Electrònica d’Investigació i Innovació Educativa i Socioeducativa 3 29ORIGINALProject based pedagogy in the development of physical-mathematical thinking.pdfProject based pedagogy in the development of physical-mathematical thinking.pdfapplication/pdf1052964https://repositorio.ufps.edu.co/bitstream/ufps/748/1/Project%20based%20pedagogy%20in%20the%20development%20of%20physical-mathematical%20thinking.pdfa54d0655ab455a8e1bc34f8f46d499d5MD51open accessTEXTProject based pedagogy in the development of physical-mathematical thinking.pdf.txtProject based pedagogy in 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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.
0000-0003-4377-390365e8d56df3770f30fa301932661912126000000-0003-1323-8563cfa31589bfc3d592080b6f5f5b6e6ece0