Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra.
The present research proposes to deepen the characterization of the mathematical thinking of primary school teachers by creating arithmetic and algebra problems. To achieve this, the action research methodology is used where, following a continuous period of planning, action, observation and reflect...
- Autores:
-
Hermosa Trujillo, Jairo Alfonso
- Tipo de recurso:
- Tesis
- Fecha de publicación:
- 2024
- Institución:
- Universidad Antonio Nariño
- Repositorio:
- Repositorio UAN
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.uan.edu.co:123456789/12546
- Acceso en línea:
- https://repositorio.uan.edu.co/handle/123456789/12546
- Palabra clave:
- Creación de problemas
resolución de problemas
pensamiento matemático
formación docente
Problem posing
mathematical problem solving
Mathematical thinking
teacher training
- Rights
- openAccess
- License
- Attribution-NoDerivs 2.5 Colombia
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Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra. |
| title |
Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra. |
| spellingShingle |
Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra. Creación de problemas resolución de problemas pensamiento matemático formación docente Problem posing mathematical problem solving Mathematical thinking teacher training |
| title_short |
Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra. |
| title_full |
Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra. |
| title_fullStr |
Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra. |
| title_full_unstemmed |
Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra. |
| title_sort |
Avances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra. |
| dc.creator.fl_str_mv |
Hermosa Trujillo, Jairo Alfonso |
| dc.contributor.advisor.none.fl_str_mv |
Dr. Rafael Sánchez Lamoneda |
| dc.contributor.author.none.fl_str_mv |
Hermosa Trujillo, Jairo Alfonso |
| dc.subject.none.fl_str_mv |
Creación de problemas resolución de problemas pensamiento matemático formación docente |
| topic |
Creación de problemas resolución de problemas pensamiento matemático formación docente Problem posing mathematical problem solving Mathematical thinking teacher training |
| dc.subject.keyword.none.fl_str_mv |
Problem posing mathematical problem solving Mathematical thinking teacher training |
| description |
The present research proposes to deepen the characterization of the mathematical thinking of primary school teachers by creating arithmetic and algebra problems. To achieve this, the action research methodology is used where, following a continuous period of planning, action, observation and reflection, five training workshops are designed and implemented that include various activities: Workshop I of contextualization; Workshop II on creating arithmetic problems; Workshop III on developing problems based on the modification of existing arithmetic problems; Workshop IV on creating problems that involve identifying patterns; and Workshop V creating problems based on situations that involved the use of scales. In addition, a final interview is carried out with the participating teachers, to understand their ideas about this exercise that reaffirms their training activity. |
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2024 |
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2024-12-12 |
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2025-03-03T15:03:53Z |
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2025-03-03T15:03:53Z |
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2025-03-03 |
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Tesis/Trabajo de grado - Monografía - Doctorado |
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Estudio descriptivo |
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https://repositorio.uan.edu.co/handle/123456789/12546 |
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spa |
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spa |
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http://creativecommons.org/licenses/by-nd/2.5/co/ |
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info:eu-repo/semantics/openAccess |
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pdf |
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Universidad Antonio Nariño |
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Doctorado en Educación Matemática |
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Facultad de Ciencias |
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Bogotá - Federmán |
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Universidad Antonio Nariño |
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Universidad Antonio Nariño |
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Ball, D. L. (2000). Bridging Practices. Intertwining content and pedagogy in teaching and learning to teach. Journal of Teacher Education, 51(3), pp. 241–247. Ball, D.L., Thames, M.H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59 (5), 389-407. Baumanns, L. (2022). Mathematical Problem Posing. Conceptual considerations and empirical investigations for understanding the process of problem posing. Springer. https://doi.org/10.1007/978-3-658-39917-7. Baumanns, L. (2022). Rethinking problem-posing situations: A review. Mathematical Problem Posing: Conceptual Considerations and Empirical Investigations for Understanding the Process of Problem Posing, pp. 87-121. Baumanns, L., & Rott, B. (2022). Developing a framework for characterising problemposing activities: A review. Research in Mathematics Education, 24(1), pp. 28-50. Baumanns, L., & Rott, B. (2022). Identifying Metacognitive Behavior in Problem-Posing Processes. Development of a Framework and a Proof of Concept. International Journal of Science and Mathematics Education p, 21:1381–1406. Blanco Lorenzo, J. (1996). Formación inicial del profesorado de primaria en el área de matemáticas Enseñanza & Teaching: Revista interuniversitaria de didáctica, ISSN-e 2386-3927, ISSN 2386-3927, Nº 14, 1996, págs. 99-117. Blanton, M. L. y Kaput, J. (2005). Characterizing a classroom practice that promotes algebraic reasoning. Journal for Research in Mathematics Education, 36(5), pp. 412-446. Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational studies in Mathematics, 83, pp. 37-55. Brown, S. I., & Walter, M. I. (2005). The art of problem posing. Psychology Press, p.64. |
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Dr. Rafael Sánchez LamonedaHermosa Trujillo, Jairo Alfonso2025-03-03T15:03:53Z2025-03-03T15:03:53Z2024-12-122025-03-03https://repositorio.uan.edu.co/handle/123456789/12546The present research proposes to deepen the characterization of the mathematical thinking of primary school teachers by creating arithmetic and algebra problems. To achieve this, the action research methodology is used where, following a continuous period of planning, action, observation and reflection, five training workshops are designed and implemented that include various activities: Workshop I of contextualization; Workshop II on creating arithmetic problems; Workshop III on developing problems based on the modification of existing arithmetic problems; Workshop IV on creating problems that involve identifying patterns; and Workshop V creating problems based on situations that involved the use of scales. In addition, a final interview is carried out with the participating teachers, to understand their ideas about this exercise that reaffirms their training activity.La presente investigación propone profundizar en la caracterización del pensamiento matemático de los docentes de primaria mediante la creación de problemas de aritmética y álgebra. Para lograrlo, se emplea la metodología investigación acción en donde siguiendo un periodo continuo de planificación, acción, observación y reflexión, se diseñan e implementan cinco talleres de formación que incluyen diversas actividades: el Taller I de contextualización; el Taller II de creación de problemas aritméticos; el Taller III de elaboración de problemas a partir de la modificación de problemas aritméticos existentes; el Taller IV de creación de problemas que involucran la identificación de patrones; y el Taller V de creación de problemas basados en situaciones que implicaban el uso de balanzas. Además, se realiza una entrevista final a los docentes participantes, para comprender sus ideas sobre este ejercicio que reafirma su actividad formadora.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_abf2Creación de problemasresolución de problemaspensamiento matemáticoformación docenteProblem posingmathematical problem solvingMathematical thinkingteacher trainingAvances en la caracterización del pensamiento matemático de los docentes de básica primaria en la creación de problemas de aritmética y álgebra.Tesis/Trabajo de grado - Monografía - DoctoradoEstudio descriptivohttp://purl.org/coar/resource_type/c_46echttp://purl.org/redcol/resource_type/PIChttp://purl.org/coar/version/c_b1a7d7d4d402bcceBall, D. L. (2000). Bridging Practices. Intertwining content and pedagogy in teaching and learning to teach. Journal of Teacher Education, 51(3), pp. 241–247.Ball, D.L., Thames, M.H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59 (5), 389-407.Baumanns, L. (2022). Mathematical Problem Posing. Conceptual considerations and empirical investigations for understanding the process of problem posing. Springer. https://doi.org/10.1007/978-3-658-39917-7.Baumanns, L. (2022). Rethinking problem-posing situations: A review. Mathematical Problem Posing: Conceptual Considerations and Empirical Investigations for Understanding the Process of Problem Posing, pp. 87-121.Baumanns, L., & Rott, B. (2022). Developing a framework for characterising problemposing activities: A review. Research in Mathematics Education, 24(1), pp. 28-50.Baumanns, L., & Rott, B. (2022). Identifying Metacognitive Behavior in Problem-Posing Processes. Development of a Framework and a Proof of Concept. International Journal of Science and Mathematics Education p, 21:1381–1406.Blanco Lorenzo, J. (1996). Formación inicial del profesorado de primaria en el área de matemáticas Enseñanza & Teaching: Revista interuniversitaria de didáctica, ISSN-e 2386-3927, ISSN 2386-3927, Nº 14, 1996, págs. 99-117.Blanton, M. L. y Kaput, J. (2005). Characterizing a classroom practice that promotes algebraic reasoning. Journal for Research in Mathematics Education, 36(5), pp. 412-446.Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational studies in Mathematics, 83, pp. 37-55.Brown, S. I., & Walter, M. I. (2005). The art of problem posing. Psychology Press, p.64.EspecializadaspaORIGINAL2024_JairoHermosaTrujillo.pdf2024_JairoHermosaTrujillo.pdfTrabajo de gradoapplication/pdf2262369https://repositorio.uan.edu.co/bitstreams/80b00304-94f4-42c0-9783-ae3cfee8f25e/downloadfaebecddd97029fe37435445ee516d99MD512024_JairoHermosaTrujillo_Acta.pdf2024_JairoHermosaTrujillo_Acta.pdfActaapplication/pdf109238https://repositorio.uan.edu.co/bitstreams/60af2f78-fb6b-46a3-91be-60fe21688fb1/downloada3d570599c53b60e15d85d671ed01b68MD522025_JairoHermosaTrujillo_Autorización.pdf2025_JairoHermosaTrujillo_Autorización.pdfAutorizaciónapplication/pdf1560668https://repositorio.uan.edu.co/bitstreams/e802ed15-6af0-4630-aa98-f298da7fc4cb/downloadc980e093de8a07c7170815b5d1bb8a00MD53CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://repositorio.uan.edu.co/bitstreams/848ee861-428c-45bd-84e1-b61bd8c86ec5/downloaddab767be7a093b539031785b3bf95490MD54123456789/12546oai:repositorio.uan.edu.co:123456789/125462025-03-03 15:03:56.802http://creativecommons.org/licenses/by-nd/2.5/co/Attribution-NoDerivs 2.5 Colombiaopen.accesshttps://repositorio.uan.edu.coRepositorio Institucional UANalertas.repositorio@uan.edu.co |
