Problem solving in the physics classroom. An analysis with secondary school students
The teaching of science, and specifically physics, has been associated with the acquisition of knowledge with a particular emphasis on problem solving, as an activity that brings students closer to the methodology and meaningful learning of science. However, problem solving is perhaps one of the sou...
- Autores:
-
Hernández Suarez, C A
Paz Montes, L S
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
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- oai:repositorio.ufps.edu.co:ufps/6573
- Acceso en línea:
- https://repositorio.ufps.edu.co/handle/ufps/6573
- Palabra clave:
- Rights
- openAccess
- License
- © 2022 by the authors
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Problem solving in the physics classroom. An analysis with secondary school students |
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Problem solving in the physics classroom. An analysis with secondary school students |
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Problem solving in the physics classroom. An analysis with secondary school students |
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Hernández Suarez, C A Paz Montes, L S Avendaño Castro, William Rodrigo |
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Hernández Suarez, C A Paz Montes, L S Avendaño Castro, William Rodrigo |
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Journal of Physics: Conference Series |
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The teaching of science, and specifically physics, has been associated with the acquisition of knowledge with a particular emphasis on problem solving, as an activity that brings students closer to the methodology and meaningful learning of science. However, problem solving is perhaps one of the sources of failure in physics teaching, which requires a careful analysis of this didactic activity. Therefore, the aim of this work is to analyze the development of students' problem-solving skills in a physics course. An analysis is presented using the quasiexperimental method through the application of a pre-test – post-test, for which a methodological intervention was used based on the problem-solving competence, which focused on identifying errors and difficulties by the students themselves and thus favoring the learning and development of this competence, which allowed the academic progress of the students to be analyzed. It is concluded that the intervention supported by problem solving improves students' performance, in addition to the positive assessment they make of the process, as well as its influence on the change in pedagogical practice. |
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2022-01-10 |
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Journal of Physics: Conference Series. Vol 2163 No°1[2022] |
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Vol. 2163 No° 1 [2022] |
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C A Hernández-Suarez et al 2022 J. Phys.: Conf. Ser. 2163 012010 DOI 10.1088/1742-6596/2163/1/012010 |
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Journal of Physics: Conference Series |
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Hernández Suarez, C Ae88d117dfa10646986bcfc014e637102Paz Montes, L Se06b6f117b90450b4ace412f59add30eAvendaño Castro, William Rodrigo4248a028f3a80901215fafb6fbb8bb6f600Journal of Physics: Conference Series2022-11-21T21:37:21Z2022-11-21T21:37:21Z2022-01-10https://repositorio.ufps.edu.co/handle/ufps/657310.1088/1742-6596/2163/1/012010The teaching of science, and specifically physics, has been associated with the acquisition of knowledge with a particular emphasis on problem solving, as an activity that brings students closer to the methodology and meaningful learning of science. However, problem solving is perhaps one of the sources of failure in physics teaching, which requires a careful analysis of this didactic activity. Therefore, the aim of this work is to analyze the development of students' problem-solving skills in a physics course. An analysis is presented using the quasiexperimental method through the application of a pre-test – post-test, for which a methodological intervention was used based on the problem-solving competence, which focused on identifying errors and difficulties by the students themselves and thus favoring the learning and development of this competence, which allowed the academic progress of the students to be analyzed. It is concluded that the intervention supported by problem solving improves students' performance, in addition to the positive assessment they make of the process, as well as its influence on the change in pedagogical practice.7application/pdfengJournal of Physics: Conference SeriesReino UnidoJournal of Physics: Conference Series. Vol 2163 No°1[2022]Vol. 2163 No° 1 [2022]61[2022]12163C A Hernández-Suarez et al 2022 J. Phys.: Conf. Ser. 2163 012010 DOI 10.1088/1742-6596/2163/1/012010Journal of Physics: Conference Series© 2022 by the authorshttps://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/10.1088/1742-6596/2163/1/012010Problem solving in the physics classroom. An analysis with secondary school 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_970fb48d4fbd8a85Polya G 1965 Cómo Plantear y Resolver Problemas (México: Trillas)Ballesteros J G 2015 Aplicación de la estrategia de resolución de problemas en la enseñanza de física, química y matemáticas en la USTA Hallazgos 7(14) 129Ríos V, Lavilla W, Humpire J, Mollinedo R, Farfán M 2016 Influencia del método experimental, polya en la enseñanza de la física, trigonometría en quinto año de educación secundaria Ceprosimad 4(1) 33Peñaloza D Y, Meneses M L 2019 Método de Pólya como estrategia pedagógica para fortalecer la competencia resolución de problemas matemáticos con operaciones básicas Zona Próxima (31) 8Fonseca S, Jiménez C, Patarroyo M 2019 Estrategias para resolver problemas matemáticos con ideas de Pólya, en grado quinto Educación y Ciencia 22(1) 427Hinojosa J, Sanmartí N 2016 Promoviendo la autorregulación en la resolución de problemas de física Ciência & Educação 22 7Becerra C B, Gras-Martí A, Martínez-Torregrosa J 2005 ¿De verdad se enseña a resolver problemas en el primer curso de física universitaria? la resolución de problemas de “lápiz y papel” en cuestión Revista Brasileira de Ensino de Física 27(2) 299Socas M 1997 Dificultades, obstáculos y errores en el aprendizaje de las matemáticas en la educación secundaria La Educación Matemática en la Secundaria (Barcelona: Horsori)Ordóñez C E, Valdivia M Á 2015 Resolución de problemas de Física empleando conceptos y procedimientos del análisis matemático Atenas 2(30) 78Diaz A, Hernández C A, Paz L S 2019 Errors and difficulties in solving algebraic procedures in secondary school students Journal of Physics: Conference Series 1408(1) 012010:1Arboledas L E, Hernández-Suárez C A, Paz-Montes L S 2020 Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students Journal of Physics: Conference Series 1645(1) 012016:1Schoenfeld A 1987 What’s all the fuss about metacognition? Cognitive Science and Mathematics Education (New Jersey: Erlbaum)Guerrero J I, Castillo E J S, Chamorro H G, Isaza, G 2013 El error como oportunidad de aprendizaje desde la diversidad en las prácticas evaluativas Plumilla Educativa 12(2) 361Manterola C, Otzen T 2015 Estudios experimentales 2 parte: estudios cuasi-experimentales International Journal of Morphology 33(1) 382Hernández R, Fernández C, Baptista M P 2010 Metodología de la Investigación (México: Mc Graw Hill)Lavado-Rojas B M, Zárate-Aliaga E C, Pomahuacre-Gómez W 2019 Estrategias de aprendizaje y rendimiento académico en estudiantes de lenguas extranjeras Investigación y Postgrado 33(2) 229Mina P A, Caicedo H 2019 La motivación y su uso en la resolución de problemas Revista Boletín Redipe 8(8) 95Pérez F J, Carballosa A M 2018 Solución de problemas complejos en las ciencias naturales de la educación básica Conrado 14(64) 133Sánchez I R, Herrera E C, Rodríguez C E 2020 Eficacia de resolución colaborativa de problemas en el desarrollo de habilidades cognitivo-lingüísticas y en el rendimiento académico en física Formación Universitaria 13(6) 191Veloza R A, Hernández C A 2018 Valoración de las estrategias adoptadas por docentes en la enseñanza de la ciencia desde la perspectiva de los estudiantes de educación básica ÁNFORA 25(45) 43Hernández-Suárez C A, Prada-Nuñez R, Gamboa-Suárez A A 2020 Using concept maps to understand mechanical physics concepts in high school students Journal of Physics: Conference Series 1672(1) 012019:1ORIGINALHernández-Suarez_2022_J._Phys.__Conf._Ser._2163_012010.pdfHernández-Suarez_2022_J._Phys.__Conf._Ser._2163_012010.pdfapplication/pdf1015397https://repositorio.ufps.edu.co/bitstream/ufps/6573/1/Hern%c3%a1ndez-Suarez_2022_J._Phys.__Conf._Ser._2163_012010.pdf1a8f2a138595e271642779fa2e1bd01fMD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.ufps.edu.co/bitstream/ufps/6573/2/license.txt2f9959eaf5b71fae44bbf9ec84150c7aMD52open 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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.
0000-0002-7510-82224248a028f3a80901215fafb6fbb8bb6f600 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