Mathematical argumentation in the classroom

The article shares some elements of comprehensive type about "mathematical argumentation in the classroom"; whose analysis, was made from two fundamental categories in the development of an oral mathematical argumentation process for the conviction, contradiction and validation of a writte...

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Autores:
Rincón Leal, Olga Lucy
Salazar-Torres, Juan-Pablo
CONTRERAS SANTANDER, YUDITH LILIANA
Valbuena-Prada, Oscar
Gelvez-Almeida, Elkin
Vera, M
Barrera, D
Tipo de recurso:
Article of journal
Fecha de publicación:
2019
Institución:
Universidad Francisco de Paula Santander
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/1258
Acceso en línea:
http://repositorio.ufps.edu.co/handle/ufps/1258
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openAccess
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http://purl.org/coar/access_right/c_abf2
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dc.title.eng.fl_str_mv Mathematical argumentation in the classroom
title Mathematical argumentation in the classroom
spellingShingle Mathematical argumentation in the classroom
title_short Mathematical argumentation in the classroom
title_full Mathematical argumentation in the classroom
title_fullStr Mathematical argumentation in the classroom
title_full_unstemmed Mathematical argumentation in the classroom
title_sort Mathematical argumentation in the classroom
dc.creator.fl_str_mv Rincón Leal, Olga Lucy
Salazar-Torres, Juan-Pablo
CONTRERAS SANTANDER, YUDITH LILIANA
Valbuena-Prada, Oscar
Gelvez-Almeida, Elkin
Vera, M
Barrera, D
dc.contributor.author.none.fl_str_mv Rincón Leal, Olga Lucy
Salazar-Torres, Juan-Pablo
CONTRERAS SANTANDER, YUDITH LILIANA
Valbuena-Prada, Oscar
Gelvez-Almeida, Elkin
Vera, M
Barrera, D
description The article shares some elements of comprehensive type about "mathematical argumentation in the classroom"; whose analysis, was made from two fundamental categories in the development of an oral mathematical argumentation process for the conviction, contradiction and validation of a written mathematical argumentation process. The research addressed two central categories of argumentation as a discursive form, the first one is the epistemic position, and the second one is the discursive position that students unveil at the time of mathematically arguing the solution to a problem situation. The research was developed under the interpretative paradigm through the design of a case study directed by the theory and technique of a focal group, for the collection of information. In the findings, difficulties in the passage were evidenced from the semantic to the theoretical from the epistemic position; regarding the discursive position, the presence of three discursive forms was revealed: description, explanation and argumentation, the latter being the least used by the students.
publishDate 2019
dc.date.issued.none.fl_str_mv 2019-11-26
dc.date.accessioned.none.fl_str_mv 2021-11-22T21:00:05Z
dc.date.available.none.fl_str_mv 2021-11-22T21:00:05Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.doi.none.fl_str_mv 10.1088/1742-6596/1408/1/012023
url http://repositorio.ufps.edu.co/handle/ufps/1258
identifier_str_mv 10.1088/1742-6596/1408/1/012023
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.1408 No.1.(2019)
dc.relation.citationendpage.spa.fl_str_mv 7
dc.relation.citationissue.spa.fl_str_mv 1 (2019)
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationvolume.spa.fl_str_mv 1408
dc.relation.cites.none.fl_str_mv Salazar-Torres, J., Vera, M., Contreras, Y., Gelvez-Almeida, E., Valbuena, O., Barrera, D., & Rincon, O. (2019, November). Mathematical argumentation in the classroom. In Journal of Physics: Conference Series (Vol. 1408, No. 1, p. 012023). IOP Publishing.
dc.relation.ispartofjournal.spa.fl_str_mv Journal of Physics: Conference Series
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dc.publisher.spa.fl_str_mv Journal of Physics: Conference Series
dc.publisher.place.spa.fl_str_mv Madrid , España
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institution Universidad Francisco de Paula Santander
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spelling Rincón Leal, Olga Lucy937ec9a93090444fc664edf246861d5e600Salazar-Torres, Juan-Pablod3d10aa98acd1a12c2fc03292880d954600CONTRERAS SANTANDER, YUDITH LILIANA0d877520542e95a1a42c9d461677dc5a600Valbuena-Prada, Oscar a3be9e9e1768410fd7f2770f0dc4230c600Gelvez-Almeida, Elkin9670e7898c20c7574a73b053bbe5a3f7600Vera, Me0f5448d4d7c7b8db15f5e7568228c0dBarrera, De8f36a97c3b0869327421ce4bccecd1a2021-11-22T21:00:05Z2021-11-22T21:00:05Z2019-11-26http://repositorio.ufps.edu.co/handle/ufps/125810.1088/1742-6596/1408/1/012023The article shares some elements of comprehensive type about "mathematical argumentation in the classroom"; whose analysis, was made from two fundamental categories in the development of an oral mathematical argumentation process for the conviction, contradiction and validation of a written mathematical argumentation process. The research addressed two central categories of argumentation as a discursive form, the first one is the epistemic position, and the second one is the discursive position that students unveil at the time of mathematically arguing the solution to a problem situation. The research was developed under the interpretative paradigm through the design of a case study directed by the theory and technique of a focal group, for the collection of information. In the findings, difficulties in the passage were evidenced from the semantic to the theoretical from the epistemic position; regarding the discursive position, the presence of three discursive forms was revealed: description, explanation and argumentation, the latter being the least used by the students.application/pdfengJournal of Physics: Conference SeriesMadrid , EspañaJournal of Physics: Conference SeriesVol.1408 No.1.(2019)71 (2019)11408Salazar-Torres, J., Vera, M., Contreras, Y., Gelvez-Almeida, E., Valbuena, O., Barrera, D., & Rincon, O. (2019, November). Mathematical argumentation in the classroom. In Journal of Physics: Conference Series (Vol. 1408, No. 1, p. 012023). 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/openAccesshttp://purl.org/coar/access_right/c_abf2https://iopscience.iop.org/article/10.1088/1742-6596/1408/1/012023/metaMathematical argumentation in the classroomArtículo 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_970fb48d4fbd8a85Salazar J 2017 El modelo de indagación frente al desarrollo de la argumentación escrita. Encrucijadas pedagógicas: Resignificación, emergencias y praxis educativa ed J Hernández (Maracaibo: Ediciones Universidad del Zulia)Calderón D 2005 Dimensión cognitiva y comunicativa de la argumentación en matemáticas (Colombia: Universidad del Valle)Perelman C and Tyteca L 1989 Tratado de la argumentación (Madrid: Editorial Gredos)Duval R 1999 Argumentar, demostrar, explicar: ¿continuidad o ruptura cognitiva? (México: Editorial Iberoamérica)Duval R 1999 Semiosis y pensamiento humano: Registros semióticos y aprendizajes intelectuales (Colombia: Ediciones Universidad del Valle)Pierce C 1974 La ciencia de la semiótica: Colección de semiología y epistemología (Buenos Aires: Ediciones Nueva Visión)Duval R 1999 Proccedings of the Annual Meeting North American Chapter of the International Group for the Psychology of Mathematics Education (Washington: Educational Resources Information Center) Representation, vision and visualization: Cognitive functions in mathematical thinking, basic issues for learning 25Krabbe E 2009 Rhetoric and argumentation in the beginning of the XXIst century 6 ed H Ribeiro (Brasil: Universidad de Coimbra) Cooperation and competition in argumentative exchanges 111León O and Calderón D 2003 Argumentar y validar en matemáticas: ¿Una relación necesaria? Hacia una comprensión del desarrollo de competencias argumentativas en matemáticas (Colombia: Ediciones Universidad del Valle)Florez M, Salazar J, Hernández Y, Gelvez E, Garavito J, Florez S, Hernández A and Patiño D 2018 Henry A. Giroux and his contributions to the modeling of critical curriculum: questions and reflections Revista Espacios 39 4Simons H 2011 El estudio de caso: teoría y práctica (Madrid: Editorial Morata)Strauss A and Corbin J 1998 Basics of qualitative research. 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Thumbnailimage/jpeg8799https://repositorio.ufps.edu.co/bitstream/ufps/1258/4/Mathematical%20argumentation%20in%20the%20classroom.pdf.jpgf9c3b45b5a6caa142332ac5e9d5968b4MD54open accessufps/1258oai:repositorio.ufps.edu.co:ufps/12582022-05-23 10:53:48.256metadata only accessRepositorio Universidad Francisco de Paula 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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.
0000-0001-5157-33419670e7898c20c7574a73b053bbe5a3f7600

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