El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta

This thesis presents research focused on inquiry-based learning and the genetic approach, applied to the context of discrete mathematics, which seeks to advance the characterization of mathematical thinking. First, a review is made of the current state of the literature on the concepts of mathematic...

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Autores:
Giraldo Mahecha, Octavio
Tipo de recurso:
Tesis
Fecha de publicación:
2024
Institución:
Universidad Antonio Nariño
Repositorio:
Repositorio UAN
Idioma:
spa
OAI Identifier:
oai:repositorio.uan.edu.co:123456789/12373
Acceso en línea:
https://repositorio.uan.edu.co/handle/123456789/12373
Palabra clave:
Aprendizaje basado en la indagación
resolución de problemas
enfoque genético
matemáticas discretas
pensamiento matemático
Inquiry based learning
problem solving
genetic approach
discrete mathematics
mathematical thinking
Rights
openAccess
License
Attribution-NoDerivs 2.5 Colombia
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dc.title.none.fl_str_mv El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta
title El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta
spellingShingle El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta
Aprendizaje basado en la indagación
resolución de problemas
enfoque genético
matemáticas discretas
pensamiento matemático
Inquiry based learning
problem solving
genetic approach
discrete mathematics
mathematical thinking
title_short El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta
title_full El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta
title_fullStr El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta
title_full_unstemmed El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta
title_sort El enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discreta
dc.creator.fl_str_mv Giraldo Mahecha, Octavio
dc.contributor.advisor.none.fl_str_mv Chacón Guerrero, Gerardo Antonio
dc.contributor.author.none.fl_str_mv Giraldo Mahecha, Octavio
dc.subject.none.fl_str_mv Aprendizaje basado en la indagación
resolución de problemas
enfoque genético
matemáticas discretas
pensamiento matemático
topic Aprendizaje basado en la indagación
resolución de problemas
enfoque genético
matemáticas discretas
pensamiento matemático
Inquiry based learning
problem solving
genetic approach
discrete mathematics
mathematical thinking
dc.subject.keyword.none.fl_str_mv Inquiry based learning
problem solving
genetic approach
discrete mathematics
mathematical thinking
description This thesis presents research focused on inquiry-based learning and the genetic approach, applied to the context of discrete mathematics, which seeks to advance the characterization of mathematical thinking. First, a review is made of the current state of the literature on the concepts of mathematical thinking, inquiry-based learning, discrete mathematics, and the genetic approach, highlighting their interrelations and the relevance of this research in the educational field, as well as its novelty and pertinence.
publishDate 2024
dc.date.created.none.fl_str_mv 2024-06-11
dc.date.accessioned.none.fl_str_mv 2025-02-17T14:09:39Z
dc.date.available.none.fl_str_mv 2025-02-17T14:09:39Z
dc.date.issued.none.fl_str_mv 2025-02-17
dc.type.none.fl_str_mv Tesis/Trabajo de grado - Monografía - Doctorado
dc.type.document.none.fl_str_mv Estudio descriptivo
dc.type.coar.none.fl_str_mv http://purl.org/coar/resource_type/c_46ec
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dc.identifier.uri.none.fl_str_mv https://repositorio.uan.edu.co/handle/123456789/12373
url https://repositorio.uan.edu.co/handle/123456789/12373
dc.language.iso.fl_str_mv spa
language spa
dc.rights.en.fl_str_mv Attribution-NoDerivs 2.5 Colombia
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http://creativecommons.org/licenses/by-nd/2.5/co/
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eu_rights_str_mv openAccess
dc.format.medium.none.fl_str_mv pdf
dc.publisher.none.fl_str_mv Universidad Antonio Nariño
dc.publisher.program.none.fl_str_mv Doctorado en Educación Matemática
dc.publisher.faculty.none.fl_str_mv Facultad de Ciencias
dc.publisher.campus.none.fl_str_mv Bogotá - Federmán
publisher.none.fl_str_mv Universidad Antonio Nariño
dc.source.none.fl_str_mv instname:Universidad Antonio Nariño
instname_str Universidad Antonio Nariño
institution Universidad Antonio Nariño
dc.source.bibliographicCitation.none.fl_str_mv Anzola, C. (2017). Aances en la on cocaracterizacion del pensamiento combinatorio. Universidad Antonio Nariño
Artigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM - International Journal on Mathematics Education, 45(6), 797–810. https://doi.org/10.1007/s11858-013-0506-6
Bennett, A. B. (2022). A whole new learning space: exploring classroom variability for teaching mathematics via active learning. International Journal of Mathematical Education in Science and Technology, 53(1), 108–130. https://doi.org/10.1080/0020739X.2021.1961033
Bouhjar, K., Andrews-Larson, C., & Haider, M. Q. (2021). An analytical comparison of students’ reasoning in the context of Inquiry-Oriented Instruction: The case of span and linear independence. Journal of Mathematical Behavior, 64. https://doi.org/10.1016/j.jmathb.2021.100908
Coenen, T., Hof, F., & Verhoef, N. (2018). Combinatorial Reasoning to Solve Problems. In E. Hart & J. Sandefur (Eds.), Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research. ICME-13 Monographs. (pp. 69–79). Springer, Cham. https://doi.org/10.1007/978-3-319-70308-4_5
Colipan, X., & Liendo, A. (2022). Discrete mathematics as a resource for developing scientific activity in the classroom. ZDM - Mathematics Education, 54(4), 909–923. https://doi.org/10.1007/s11858-022-01380-4
De Chenne, A., & Lockwood, E. (2022). A task to connect counting processes to lists of outcomes in combinatorics. Journal of Mathematical Behavior, 65. https://doi.org/10.1016/j.jmathb.2021.100932
Estopiñán, M., & Telot, J. (2017). Contribución de la matemática discreta a la formación del ingeniero informático Enseñanza de la Informática View project Enseñanza de la Informática View project. https://www.researchgate.net/publication/319270773
Fried, M. N., & Jahnke, H. N. (2015). Otto Toeplitz’s 1927 paper on the genetic method in the teaching of mathematics. Science in Context, 28(2), 285–295. https://doi.org/10.1017/S0269889715000034
Furinghetti, F. (2019). Rethinking history and epistemology in mathematics education*. International Journal of Mathematical Education in Science and Technology, 967–994. https://doi.org/10.1080/0020739X.2019.1565454
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spelling Chacón Guerrero, Gerardo AntonioGiraldo Mahecha, Octavio2025-02-17T14:09:39Z2025-02-17T14:09:39Z2024-06-112025-02-17https://repositorio.uan.edu.co/handle/123456789/12373This thesis presents research focused on inquiry-based learning and the genetic approach, applied to the context of discrete mathematics, which seeks to advance the characterization of mathematical thinking. First, a review is made of the current state of the literature on the concepts of mathematical thinking, inquiry-based learning, discrete mathematics, and the genetic approach, highlighting their interrelations and the relevance of this research in the educational field, as well as its novelty and pertinence.Esta tesis presenta una investigación centrada en el aprendizaje basado en la indagación y el enfoque genético, aplicada al contexto de las matemáticas discretas que busca avanzar en la caracterización del pensamiento matemático. En primer lugar, se realiza un recorrido por el estado actual de la literatura sobre los conceptos de pensamiento matemático, aprendizaje basado en la indagación, matemáticas discretas y enfoque genético, destacando sus interrelaciones y la relevancia de esta investigación en el ámbito educativo, así como su novedad y pertinencia.finalDoctor(a) en Educación MatemáticaDoctoradoPresencialInvestigaciónpdfUniversidad Antonio NariñoDoctorado en Educación MatemáticaFacultad de CienciasBogotá - FedermánAttribution-NoDerivs 2.5 Colombiahttp://creativecommons.org/licenses/by-nd/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2instname:Universidad Antonio NariñoAnzola, C. (2017). Aances en la on cocaracterizacion del pensamiento combinatorio. Universidad Antonio NariñoArtigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM - International Journal on Mathematics Education, 45(6), 797–810. https://doi.org/10.1007/s11858-013-0506-6Bennett, A. B. (2022). A whole new learning space: exploring classroom variability for teaching mathematics via active learning. International Journal of Mathematical Education in Science and Technology, 53(1), 108–130. https://doi.org/10.1080/0020739X.2021.1961033Bouhjar, K., Andrews-Larson, C., & Haider, M. Q. (2021). An analytical comparison of students’ reasoning in the context of Inquiry-Oriented Instruction: The case of span and linear independence. Journal of Mathematical Behavior, 64. https://doi.org/10.1016/j.jmathb.2021.100908Coenen, T., Hof, F., & Verhoef, N. (2018). Combinatorial Reasoning to Solve Problems. In E. Hart & J. Sandefur (Eds.), Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research. ICME-13 Monographs. (pp. 69–79). Springer, Cham. https://doi.org/10.1007/978-3-319-70308-4_5Colipan, X., & Liendo, A. (2022). Discrete mathematics as a resource for developing scientific activity in the classroom. ZDM - Mathematics Education, 54(4), 909–923. https://doi.org/10.1007/s11858-022-01380-4De Chenne, A., & Lockwood, E. (2022). A task to connect counting processes to lists of outcomes in combinatorics. Journal of Mathematical Behavior, 65. https://doi.org/10.1016/j.jmathb.2021.100932Estopiñán, M., & Telot, J. (2017). Contribución de la matemática discreta a la formación del ingeniero informático Enseñanza de la Informática View project Enseñanza de la Informática View project. https://www.researchgate.net/publication/319270773Fried, M. N., & Jahnke, H. N. (2015). Otto Toeplitz’s 1927 paper on the genetic method in the teaching of mathematics. Science in Context, 28(2), 285–295. https://doi.org/10.1017/S0269889715000034Furinghetti, F. (2019). Rethinking history and epistemology in mathematics education*. International Journal of Mathematical Education in Science and Technology, 967–994. https://doi.org/10.1080/0020739X.2019.1565454Aprendizaje basado en la indagaciónresolución de problemasenfoque genéticomatemáticas discretaspensamiento matemáticoInquiry based learningproblem solvinggenetic approachdiscrete mathematicsmathematical thinkingEl enfoque genético y la resolución de problemas en la educación matemática aplicada a la matemática discretaTesis/Trabajo de grado - Monografía - DoctoradoEstudio descriptivohttp://purl.org/coar/resource_type/c_46echttp://purl.org/redcol/resource_type/PIChttp://purl.org/coar/version/c_b1a7d7d4d402bcceEspecializadaspaORIGINAL2024_OctavioGiraldoMahecha.pdf2024_OctavioGiraldoMahecha.pdfTrabajo de gradoapplication/pdf3756296https://repositorio.uan.edu.co/bitstreams/bf6664eb-0159-439d-a11e-4b88eb2bf575/download1e6ff4fcd5c4eb8fbcc820aa0116779dMD512024_OctavioGiraldoMahecha_Autorización.pdf2024_OctavioGiraldoMahecha_Autorización.pdfAutorizaciónapplication/pdf343353https://repositorio.uan.edu.co/bitstreams/710fc06a-77da-4334-b2c5-1468482814d0/download6673db5a613db48a9174655f629e4d15MD522024_OctavioGiraldoMahecha_Acta.pdf2024_OctavioGiraldoMahecha_Acta.pdfActaapplication/pdf1483300https://repositorio.uan.edu.co/bitstreams/5b4d973b-a757-4d55-8efc-d7a53b74e31f/download071998001a76dc3336b2c5f5047350eaMD53CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://repositorio.uan.edu.co/bitstreams/3de4a281-5f4b-4bf3-884d-cb76f9bd1606/downloaddab767be7a093b539031785b3bf95490MD54123456789/12373oai:repositorio.uan.edu.co:123456789/123732025-02-17 14:09:41.432http://creativecommons.org/licenses/by-nd/2.5/co/Attribution-NoDerivs 2.5 Colombiaopen.accesshttps://repositorio.uan.edu.coRepositorio Institucional UANalertas.repositorio@uan.edu.co

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