Development of random thinking: Reflections and considerations
This article discloses some considerations and reflections in the teaching of random thinking and data systems based on a documentary review. A documentary sample was used consisting of 40 documentary sources (articles, postgraduate dissertations and books), published in indexed journals, about rand...
- Autores:
-
Salazar-Torres, Juan-Pablo
Rincón Leal, Olga Lucy
Vera, M
Omaña, L
Lizcano, L
Huérfano, Y
Vargas, D
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- UNIVERSIDAD FRANCISCO DE PAULA SANTANDER
- Repositorio:
- Repositorio Digital UFPS
- Idioma:
- eng
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- oai:repositorio.ufps.edu.co:ufps/1105
- Acceso en línea:
- http://repositorio.ufps.edu.co/handle/ufps/1105
- Palabra clave:
- Rights
- openAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
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Development of random thinking: Reflections and considerations |
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Development of random thinking: Reflections and considerations |
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Salazar-Torres, Juan-Pablo Rincón Leal, Olga Lucy Vera, M Omaña, L Lizcano, L Huérfano, Y Vargas, D |
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Salazar-Torres, Juan-Pablo Rincón Leal, Olga Lucy Vera, M Omaña, L Lizcano, L Huérfano, Y Vargas, D |
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This article discloses some considerations and reflections in the teaching of random thinking and data systems based on a documentary review. A documentary sample was used consisting of 40 documentary sources (articles, postgraduate dissertations and books), published in indexed journals, about random thinking. The research was based on a qualitative content analysis method which used the coding and categories saturation process. The results let us establish conceptual relationships considering three dimensions linked to the random thinking teaching, they are: epistemological corpus, theoretical corpus and the social function. The results allow to base new proposals of curricular, didactic and evaluative type for the teaching of this thinking, at the same time, it allows to carry out processes of self-assessment of the teaching practice and of the need that currently exists before the research in the classroom and the contextualization of mathematical knowledge. |
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eng |
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Journal of Physics: Conference Series |
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Vol.1514 No.1.(2020) |
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8 |
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1 (2020) |
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Salazar-Torres, J., Vera, M., Rincón, O., Omaña, L., Lizcano, L., Huérfano, Y., & Vargas, D. (2020, March). Development of random thinking: Reflections and considerations. In Journal of Physics: Conference Series (Vol. 1514, No. 1, p. 012024). IOP Publishing. |
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Salazar-Torres, Juan-Pablod3d10aa98acd1a12c2fc03292880d954600Rincón Leal, Olga Lucy937ec9a93090444fc664edf246861d5e600Vera, Me0f5448d4d7c7b8db15f5e7568228c0dOmaña, L2b94fe33f5c48b730054bd198b27c09fLizcano, L3994c647da52d9efcf1a0e6218b4d235Huérfano, Yddb9ed47eadeb1039c10bfbf04eb9a10Vargas, Db71f392d8e6a6bfb99205c9014184ee02021-11-18T21:40:01Z2021-11-18T21:40:01Z2020-06-16http://repositorio.ufps.edu.co/handle/ufps/110510.1088/1742-6596/1514/1/012024This article discloses some considerations and reflections in the teaching of random thinking and data systems based on a documentary review. A documentary sample was used consisting of 40 documentary sources (articles, postgraduate dissertations and books), published in indexed journals, about random thinking. The research was based on a qualitative content analysis method which used the coding and categories saturation process. The results let us establish conceptual relationships considering three dimensions linked to the random thinking teaching, they are: epistemological corpus, theoretical corpus and the social function. The results allow to base new proposals of curricular, didactic and evaluative type for the teaching of this thinking, at the same time, it allows to carry out processes of self-assessment of the teaching practice and of the need that currently exists before the research in the classroom and the contextualization of mathematical knowledge.application/pdfengJournal of Physics: Conference SeriesMadrid , EspañaJournal of Physics: Conference SeriesVol.1514 No.1.(2020)81 (2020)11514Salazar-Torres, J., Vera, M., Rincón, O., Omaña, L., Lizcano, L., Huérfano, Y., & Vargas, D. (2020, March). Development of random thinking: Reflections and considerations. In Journal of Physics: Conference Series (Vol. 1514, No. 1, p. 012024). 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/10.1088/1742-6596/1514/1/012024/metaDevelopment of random thinking: Reflections and considerationsArtículo 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_970fb48d4fbd8a85Emmanuele D, Rodil F and Vernazza C 2018 Revista Acta Latinoamericana de Matemática Educativa 31 1077ANiño J 1998 Serie Lineamientos Curriculares (Colombi: Ministerio de Educación Nacional)Molina F 2014 La reorganizacin cognitiva en el desarrollo de pensamiento aleatorio y sistemas de datos en estudiantes de grado quinto (Manizalez: Universidad Nacional de Colombia)Amore B D 2014 Revista Paradigma 35 199López F 2002 Revista de Educación 4 167Corbin J and Strauss A 2007 Basics of Qualitative Research: Techniques and Procedures for Developing Grounded Theory (Thousand Oaks: SAGE Pulications)Martínez M 2006 Revista IIPSI Facultad de Psicología 9 123Gómez M 2005 Revista Latinoamericana de Estudios Educativos 1 83Ramírez R 2005 Revista Folios 21 5Cantor M and Guerrero M 2016 El pensamiento aleatorio como fundamento para el desarrollo del pensamiento matemático y sus componentes (Colombia: Universidad de los Andes)Trigueros M 2005 Educación Matemática 17 5López J, Ojeda A and Salcedo J 2018 Revista de Investigación Educativa de la REDIECH 9 87Hernandez I, Luna J and Cadena M 2017 Revista Historia de la Educación Latinoamericana 19 149Torres E 2016 Estadística y probabilidad en el currículo colombiano para educación básica y media (Bogotá: Universidad Nacional de Colombia)Merino M and Reyes K 2013 Revista de Didáctica de la Estadística 2 137Cano M and Zapata D 2016 Análisis del pensamiento aleatorio desde las representaciones semióticas presentes en las pruebas Saber grado quinto (Medellin: Universidad de Medellin)Fuentes D 2016 Secuencia didáctica para estudiantes de grado 5 relacionada con la comprension de situaciones problema del pensamiento aleatorio (Bogota: Universidad Nacional de Colombia)Pinzón D 2016 Habilidades de pensamiento aleatorio y la creación de aplicaciones móviles. Un estudio exploratorio en semilleros de investigación escolar de la educación media (Medellin: Universidad de Antioquia)Perafán G 2015 Revista Folios 42 55Córdova D 2016 Propuesta de formación para docentes del grado primero, basada en enseñanza para la comprensión, como estrategia didáctica para el desarrollo del pensamiento aleatorio, en la institución educativa Villa del Socorro (Medellin: Universidad Nacional de Colombia)Gravini M 2006 Psicogente 9 35Pinzón Y, Poveda O and Pérez A 2015 Revista Apertura 7 1Zilberstein J and Olmedo S 2014 Revista Atenas 3 42Naranjo S 2017 Unidad didctica para promover el desarrollo de las competencias comunicacin y representacin en el pensamiento aleatorio y sistema de datos en primaria (Medellin: Universidad Icesi)Osorio M, Suarez A and Uribe C 2013 Revista Virtual Universidad Católica del Norte 1 127Castaño M 2013 Diseño de una unidad didáctica para el desarrollo del pensamiento probabilístico, que favorezca un aprendizaje significativo en los estudiantes del grado 5º3 de la IE El Pedregal del municipio de Medellín (Medellin: Universidad Nacional de Colombia)Puga L, Rodríguez J and Toledo M 2016 Sophia Colección de Filosofía de la Educación 20 1León N 2006 Investigación y Postgrado 21 177Lozano A 2015 La enseñanza del pensamiento aleatorio en estudiantes de grado quinto en la escuela Dulcenombre en Samaná (Manizales: Universidad Nacional de Colombia)Olaya R 2018 El pensamiento aleatorio en clave de comprensión de lo estocástico en la sociedad, en estudiantes de grado noveno, de la I. E. Tulio Arbeláez Zuluaga, Garzón-Huila (Manizalez: Universidad Nacional de Colombia)Raffo E and Mejía M 2006 Revista Industrial Data 9 1Carballo M and Ana Ojeda 2009 Revista Acta Latinoamericana de Matemática Educativa 22 1Guerrero M 2018 III Encuentro Colombiano de Educación Estocástica (III ECEE) (Bogotá: Asociación Colombiana de Educación Estocástica) Enfoque teórico para el desarrollo del pensamiento aleatorio y la formación ciudadana-dimensión de convivencia y paz, en aulas aceleradasCruz A, Hernández E and Bernal J 2011 Scientia et Technica 3 158Burbano V, Valdivieso M and Aldana E 2017 Revista de Investigación, Desarrollo e Innovación 7 269Sepúlveda A, Medina C and Sepúlveda D 2009 Educación Matemática 21 79Albarracín L and Gorgorió N 2013 Revista Latinoamericana de Investigación en Matemática Educativa 16 289Peirce C 1974 La Ciencia de la Semiótica (Buenos aires: Nueva Visión)Puig L 1994 Revista Ectopias 51 3ORIGINALDevelopment of random thinking Reflections and 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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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