Real teaching situations to encourage the learning of fractions from physics
The research aims to implement real didactic situations for learning fractions and physics in students from educational institutions in "San José de Cúcuta, Norte de Santander, Colombia". From the theoretical point of view, it starts from one of the ideas that have been emerging in recent...
- Autores:
-
GALLARDO PÉREZ, HENRY DE JESÚS
Galvis Burgos, M I
Villamizar Jaimes, D
Gallardo Perez, Henry De Jesus
- 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/793
- Acceso en línea:
- http://repositorio.ufps.edu.co/handle/ufps/793
- Palabra clave:
- Rights
- openAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
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Real teaching situations to encourage the learning of fractions from physics |
| title |
Real teaching situations to encourage the learning of fractions from physics |
| spellingShingle |
Real teaching situations to encourage the learning of fractions from physics |
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Real teaching situations to encourage the learning of fractions from physics |
| title_full |
Real teaching situations to encourage the learning of fractions from physics |
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Real teaching situations to encourage the learning of fractions from physics |
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Real teaching situations to encourage the learning of fractions from physics |
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Real teaching situations to encourage the learning of fractions from physics |
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GALLARDO PÉREZ, HENRY DE JESÚS Galvis Burgos, M I Villamizar Jaimes, D Gallardo Perez, Henry De Jesus |
| dc.contributor.author.none.fl_str_mv |
GALLARDO PÉREZ, HENRY DE JESÚS Galvis Burgos, M I Villamizar Jaimes, D Gallardo Perez, Henry De Jesus |
| description |
The research aims to implement real didactic situations for learning fractions and physics in students from educational institutions in "San José de Cúcuta, Norte de Santander, Colombia". From the theoretical point of view, it starts from one of the ideas that have been emerging in recent times regarding the teaching of physics, such as the development of physical-mathematical thinking by inserting the paradigm of didactic situations into the educational environment. The research is part of a field study, quasi-experimental with self-control. The treatment plan was organized in five didactic situations on theoretical and practical aspects of physics. The results of the pretest reflect deficiencies in the use of mathematical contents associated to the description of physical phenomena in the population under study, which allowed the design and implementation of a pedagogical intervention plan. The post-test showed an increase in the execution of mathematical models in the application to physical phenomena, which inferred the effectiveness of the intervention plan, whose activities allowed innovation in the classroom to achieve the students' attention. It is concluded that the didactic proposal was an enriching experience with the active participation of the students. |
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2020 |
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2020-09-30 |
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2021-11-09T13:59:17Z |
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2021-11-09T13:59:17Z |
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Artículo de revista |
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10.1088/1742-6596/1645/1/012018 |
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eng |
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eng |
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Journal of Physics: Conference Series |
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Vol.1645 No.1.(2020) |
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012018-7 |
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1 (2020) |
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012018-1 |
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1645 |
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Burgos, M. G., Pérez, H. G., & Jaimes, D. V. (2020, September). Real teaching situations to encourage the learning of fractions from physics. In Journal of Physics: Conference Series (Vol. 1645, No. 1, p. 012018). IOP Publishing. |
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Atribución 4.0 Internacional (CC BY 4.0) |
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openAccess |
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Atribución 4.0 Internacional (CC BY 4.0) http://purl.org/coar/access_right/c_abf2 |
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Journal of Physics: Conference Series |
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GALLARDO PÉREZ, HENRY DE JESÚSGalvis Burgos, M IVillamizar Jaimes, DGallardo Perez, Henry De Jesusvirtual::3630-12021-11-09T13:59:17Z2021-11-09T13:59:17Z2020-09-30http://repositorio.ufps.edu.co/handle/ufps/79310.1088/1742-6596/1645/1/012018The research aims to implement real didactic situations for learning fractions and physics in students from educational institutions in "San José de Cúcuta, Norte de Santander, Colombia". From the theoretical point of view, it starts from one of the ideas that have been emerging in recent times regarding the teaching of physics, such as the development of physical-mathematical thinking by inserting the paradigm of didactic situations into the educational environment. The research is part of a field study, quasi-experimental with self-control. The treatment plan was organized in five didactic situations on theoretical and practical aspects of physics. The results of the pretest reflect deficiencies in the use of mathematical contents associated to the description of physical phenomena in the population under study, which allowed the design and implementation of a pedagogical intervention plan. The post-test showed an increase in the execution of mathematical models in the application to physical phenomena, which inferred the effectiveness of the intervention plan, whose activities allowed innovation in the classroom to achieve the students' attention. It is concluded that the didactic proposal was an enriching experience with the active participation of the students.application/pdfengJournal of Physics: Conference SeriesJournal of Physics: Conference SeriesVol.1645 No.1.(2020)012018-71 (2020)012018-11645Burgos, M. G., Pérez, H. G., & Jaimes, D. V. (2020, September). Real teaching situations to encourage the learning of fractions from physics. In Journal of Physics: Conference Series (Vol. 1645, No. 1, p. 012018). 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/10.1088/1742-6596/1645/1/012018/metaReal teaching situations to encourage the learning of fractions from physicsArtículo 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_970fb48d4fbd8a85Brousseau G 2007 Iniciación al Estudio de la Teoría de las Situaciones Didácticas (Buenos Aires: Editorial Zorzal)Romero A and Aguilar Y 2013 La Experimentación y el Desarrollo del Pensamiento Físico. Un Análisis Histórico y Epistemológico con Fines Didácticos (Medellín: Universidad de Antioquia)Coll C 2000 Aprendizaje Escolar y Construcción del Conocimiento (Madrid: Paidós)Porlán R 1995 Constructivismo y Escuela (Sevilla: Díada Editora S.L.)Jiménez A and Sánchez D 2018 Enseñando matemáticas con situaciones a-didácticas Revista Boletín REDIPE 7 133Brosseau G 2000 Educación y didáctica de las matemáticas Educación Matemática 12 5Ibáñez Bernal C 2007 Un análisis crítico del modelo del triángulo pedagógico. Una propuesta alternativa Revista Mexicana de Investigación Educativa 12 435Díaz-Barriga A 2013 TIC en el trabajo del aula. Impacto en la planeación didáctica Revista Iberoamericana de Educación Superior 4 3De Zubiría J 2006 Los Modelos Pedagógicos. Hacia una Pedagogía Dialogante (Bogotá: Magisterio)León 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)Hernández R Fernández C and Baptista M 2014 Metodología de la Investigación, 6 edición (México: MCGraw-Hill)López R 2015 Influencia del Razonamiento Matemático en las Estructuras Administrativas (Palmira: Universidad Nacional de Colombia)Niño A and Raad Y 2018 Interpretación de la Fracción como Relación Parte-Todo en Contextos Continuos y Discretos, a Partir de la Implementación de una Secuencia Didáctica que Privilegia la Competencia Comunicativa (Bogotá: Pontificia Universidad Javeriana)Jiménez A, Limas L and Alarcón J 2016 Prácticas pedagógicas matemáticas de profesores de una institución educativa de enseñanza básica y media Praxis & Saber 7 127Mason J, Burton L and Stacey K 1992 Pensar Matemáticamente (Barcelona: Labor)Polya G 1992 Cómo Plantear y Resolver Problemas (México: Trillas)Godino J 2004 Didáctica de las Matemáticas para Maestros (Granada: GAMI, S. L.)Lerner D and Sadovsky P 1997 Didáctica de las Matemáticas: Aportes y Reflexiones (Buenos Aires: Editorial Paidós Educador) El sistema de numeración: un problema didáctico 95-184Castro E 2015 Significado de las Fracciones en las Matemáticas Escolares y Formación Inicial de Maestros (Granada: Universidad de Granada)Resnick L and Ford W 1990 La Enseñanza de las Matemáticas y sus Fundamentos Psicológicos (Barcelona: Paidós-MEC)Esquinas A 2009 Dificultades de Aprendizaje del Lenguaje Algebraico: Del Símbolo a la Formalización Algebraica: Aplicación a la Práctica Docente (Granada: Universidad de Granada)Publication7a67ec72-91ce-4b6a-b29d-d75f34940763virtual::3630-17a67ec72-91ce-4b6a-b29d-d75f34940763virtual::3630-1LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.ufps.edu.co/bitstreams/16a9eb0d-83c1-4501-9914-dfca8e821396/download2f9959eaf5b71fae44bbf9ec84150c7aMD52falseAnonymousREADTEXTReal teaching situations to encourage the learning of fractions from 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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.
 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