Avances en la caracterización del pensamiento combinatorio
This research is based on the analysis of the manifestations of mathematical thinking that arise during the solution of significant problems, mathematical and contextual, within the framework of the analysis combinatory, and the corresponding construction of meanings of the concepts implicit in them...
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| Format: | Tesis y disertaciones (Maestría y/o Doctorado) |
| Language: | spa |
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Universidad Antonio Nariño
2023
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| Online Access: | http://repositorio.uan.edu.co/handle/123456789/8016 |
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| _version_ | 1812647965665263616 |
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| author | Anzola Caldas, José Ciro |
| author2 | Falk de Losada, Mary |
| author_facet | Falk de Losada, Mary Anzola Caldas, José Ciro |
| author_sort | Anzola Caldas, José Ciro |
| collection | DSpace |
| description | This research is based on the analysis of the manifestations of mathematical thinking that arise
during the solution of significant problems, mathematical and contextual, within the framework of the analysis
combinatory, and the corresponding construction of meanings of the concepts implicit in them
with the aim of characterizing and consolidating a way of thinking that was called combinatorial thinking.
The study was carried out with an experimental design in two phases, one under action research and the other using
elements of the grounded theory, which implied the design of a didactic unit consisting of eight
activities based on the basic principles of counting, an instrument that was implemented and developed
with first-year engineering students in the Problem Solving course. |
| format | Tesis y disertaciones (Maestría y/o Doctorado) |
| id | repositorio.uan.edu.co-123456789-8016 |
| institution | Repositorio Digital UAN |
| language | spa |
| publishDate | 2023 |
| publisher | Universidad Antonio Nariño |
| record_format | dspace |
| spelling | repositorio.uan.edu.co-123456789-80162024-10-09T23:07:16Z Avances en la caracterización del pensamiento combinatorio Anzola Caldas, José Ciro Falk de Losada, Mary Matemáticas - Enseñanza 510 Mathematics - Teaching This research is based on the analysis of the manifestations of mathematical thinking that arise during the solution of significant problems, mathematical and contextual, within the framework of the analysis combinatory, and the corresponding construction of meanings of the concepts implicit in them with the aim of characterizing and consolidating a way of thinking that was called combinatorial thinking. The study was carried out with an experimental design in two phases, one under action research and the other using elements of the grounded theory, which implied the design of a didactic unit consisting of eight activities based on the basic principles of counting, an instrument that was implemented and developed with first-year engineering students in the Problem Solving course. Esta investigación se basa en el análisis de las manifestaciones del pensamiento matemático que surgen durante la solución de problemas significativos, matemáticos y de contexto, en el marco del análisis combinatorio, y la correspondiente construcción de significados de los conceptos implícitos en las mismas con el objetivo de caracterizar y consolidar un modo de pensar que se denominó pensamiento combinatorio. El estudio se realizó con un diseño experimental en dos fases, una bajo la investigación-acción y la usando elementos de la teoría fundamentada, lo cual implicó el diseño de una unidad didáctica constituida por ocho actividades sustentadas en los principios básicos de conteo, instrumento que se implementó y se desarrolló con los estudiantes de primer año de las carreras de ingeniería, en el curso de Solución de Problemas. Doctor(a) en Educación Matemática Doctorado Presencial Monografía 2023-05-16T16:45:45Z 2023-05-16T16:45:45Z 2017-02-24 Tesis y disertaciones (Maestría y/o Doctorado) info:eu-repo/semantics/acceptedVersion http://purl.org/coar/resource_type/c_bdcc http://purl.org/coar/version/c_970fb48d4fbd8a85 http://repositorio.uan.edu.co/handle/123456789/8016 Alvarez-Gayou, (2003). Como hacer investigación cualitativa. Fundamentos y metodología. Ediciones Paidos. México. Anderson, Ian. (1993) Introducción a la combinatoria. Barcelona: Edit. Vicens Vives. Beeler, Robert A. (2015). How to Count. An Introduction to Combinatorics and Its Applications. Springer. Berge, C. (1971) Principles of Combinatorics, Academic Press. https://books.google.com.co/books?id=E0mJFt0RQIgC&pg=PA178&lpg=PA178&dq=Principles+of+ combinatorics,+1968+berge&source=bl&ots=awFUlOv611&sig=03MkKohVwaHxhDua7kHx_qIEJc&hl=es&sa=X&ved=0ahUKEwiF0fjY6KbQAhXLxFQKHRyZCxYQ6AEIQDA E#v=onepage&q=Principles%20of%20combinatorics%2C%201968%20berge&f=false Batanero, C., Godino, J., & Navarro-Pelayo, V. (1997a). Combinatorial reasoning and its assessment. In I. Gal & J. B. Garfield (Eds.), The Assessment Challenge in Statistics Education (pp. 239-252): IOS Press. Disponible en URL: https://www.stat.auckland.ac.nz/~iase/publications/assessbk/chapter18.pdf [Consulta 20 de Abril de 2015] Batanero, C., Navarro-Pelayo, V., & Godino, J. (1997b). Effect of the implicit combinatorial model on combinatorial reasoning in secondary school pupils. Educational Studies in Mathematics, 32, 181- 199. Cameron, P. J. (1994). Combinatorics: Topics, techniques, algorithms. Cambridge: Cambridge University Press. Dubois, J. G. (1984). Une systématique des configurations combinatoires simples. Educational Studies in Mathematics, 15 (1), 37-57. Fischbein, E. (1987). Intuition in science and mathematics: An educational approach. Dordretcht, The Netherlands: Reidel Fischbein, E. y Grossman, A. (1997). Schemata and intuitions in combinatorial reasoning. Educational Studies in Mathematics, 34: 27-47 instname:Universidad Antonio Nariño reponame:Repositorio Institucional UAN repourl:https://repositorio.uan.edu.co/ spa Acceso abierto Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) https://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess http://purl.org/coar/access_right/c_abf2 application/pdf application/pdf Universidad Antonio Nariño Doctorado en Educación Matemática Facultad de Educación Bogotá - Federmán |
| spellingShingle | Matemáticas - Enseñanza 510 Mathematics - Teaching Anzola Caldas, José Ciro Avances en la caracterización del pensamiento combinatorio |
| title | Avances en la caracterización del pensamiento combinatorio |
| title_full | Avances en la caracterización del pensamiento combinatorio |
| title_fullStr | Avances en la caracterización del pensamiento combinatorio |
| title_full_unstemmed | Avances en la caracterización del pensamiento combinatorio |
| title_short | Avances en la caracterización del pensamiento combinatorio |
| title_sort | avances en la caracterizacion del pensamiento combinatorio |
| topic | Matemáticas - Enseñanza 510 Mathematics - Teaching |
| url | http://repositorio.uan.edu.co/handle/123456789/8016 |
| work_keys_str_mv | AT anzolacaldasjoseciro avancesenlacaracterizaciondelpensamientocombinatorio |
