Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object

This article is the product of a research addressed to support the mathematics teacher with didactic orientations to promote the development of the mathematical competences of the students. In the research work a methodological complementarity was used and specific guidelines of Participatory Action...

Full description

Autores:
Tipo de recurso:
http://purl.org/coar/resource_type/c_6744
Fecha de publicación:
2017
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/10246
Acceso en línea:
https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072
https://repositorio.uptc.edu.co/handle/001/10246
Palabra clave:
mathematical competence
mathematical competence model
mathematical object
mathematical meaning.
competencia matemática
modelo de competencia matemática
objeto matemático
significado matemático.
Rights
License
Derechos de autor 2017 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN
id REPOUPTC2_e26fb9b157e09f0427eeb3048d917ac6
oai_identifier_str oai:repositorio.uptc.edu.co:001/10246
network_acronym_str REPOUPTC2
network_name_str RiUPTC: Repositorio Institucional UPTC
repository_id_str
dc.title.en-US.fl_str_mv Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object
dc.title.es-ES.fl_str_mv Implementación de un modelo teórico a Priori de competencia matemática asociado al aprendizaje de un objeto matemático
title Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object
spellingShingle Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object
mathematical competence
mathematical competence model
mathematical object
mathematical meaning.
competencia matemática
modelo de competencia matemática
objeto matemático
significado matemático.
title_short Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object
title_full Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object
title_fullStr Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object
title_full_unstemmed Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object
title_sort Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical object
dc.subject.en-US.fl_str_mv mathematical competence
mathematical competence model
mathematical object
mathematical meaning.
topic mathematical competence
mathematical competence model
mathematical object
mathematical meaning.
competencia matemática
modelo de competencia matemática
objeto matemático
significado matemático.
dc.subject.es-ES.fl_str_mv competencia matemática
modelo de competencia matemática
objeto matemático
significado matemático.
description This article is the product of a research addressed to support the mathematics teacher with didactic orientations to promote the development of the mathematical competences of the students. In the research work a methodological complementarity was used and specific guidelines of Participatory Action Research were taken on. The a priori theoretical model of mathematical competence was formulated with the contributions of researchers like Bishop, Sfard, D'Amore, Godino, Fandiño and Solar. This model was applied during the first half of 2015 and focused on a sequence of mathematical tasks centred on the current peace process between the Revolutionary Armed Forces of Colombia, FARC, and the Colombian government. The implementation of the model was made with the collaboration of sixth grade students of the Educational Institution Jorge Eliécer Gaitán of Florencia, Caquetá. The a priori theoretical model formulated transcended the cognitive aspect; its application contributed to the development of mathematical processes, affective and action trend processes for sharing and developing mathematical meaning in class. In this way, it was constituted in an adequate didactic mediation that guides the teacher in his / her purpose of developing the mathematical competences of the students.
publishDate 2017
dc.date.accessioned.none.fl_str_mv 2024-07-05T18:03:56Z
dc.date.available.none.fl_str_mv 2024-07-05T18:03:56Z
dc.date.none.fl_str_mv 2017-02-15
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6744
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a328
format http://purl.org/coar/resource_type/c_6744
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072
10.19053/20278306.v7.n2.2017.6072
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/10246
url https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072
https://repositorio.uptc.edu.co/handle/001/10246
identifier_str_mv 10.19053/20278306.v7.n2.2017.6072
dc.language.none.fl_str_mv spa
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072/5453
https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072/6966
https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072/9501
dc.rights.es-ES.fl_str_mv Derechos de autor 2017 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf245
rights_invalid_str_mv Derechos de autor 2017 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓN
http://purl.org/coar/access_right/c_abf245
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
application/vnd.openxmlformats-officedocument.wordprocessingml.document
application/xml
dc.publisher.es-ES.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia
dc.source.en-US.fl_str_mv Revista de Investigación, Desarrollo e Innovación; Vol. 7 No. 2 (2017): Enero-Junio; 301-315
dc.source.es-ES.fl_str_mv Revista de Investigación, Desarrollo e Innovación; Vol. 7 Núm. 2 (2017): Enero-Junio; 301-315
dc.source.none.fl_str_mv 2389-9417
2027-8306
institution Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv Repositorio Institucional UPTC
repository.mail.fl_str_mv repositorio.uptc@uptc.edu.co
_version_ 1839633872382328832
spelling 2017-02-152024-07-05T18:03:56Z2024-07-05T18:03:56Zhttps://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/607210.19053/20278306.v7.n2.2017.6072https://repositorio.uptc.edu.co/handle/001/10246This article is the product of a research addressed to support the mathematics teacher with didactic orientations to promote the development of the mathematical competences of the students. In the research work a methodological complementarity was used and specific guidelines of Participatory Action Research were taken on. The a priori theoretical model of mathematical competence was formulated with the contributions of researchers like Bishop, Sfard, D'Amore, Godino, Fandiño and Solar. This model was applied during the first half of 2015 and focused on a sequence of mathematical tasks centred on the current peace process between the Revolutionary Armed Forces of Colombia, FARC, and the Colombian government. The implementation of the model was made with the collaboration of sixth grade students of the Educational Institution Jorge Eliécer Gaitán of Florencia, Caquetá. The a priori theoretical model formulated transcended the cognitive aspect; its application contributed to the development of mathematical processes, affective and action trend processes for sharing and developing mathematical meaning in class. In this way, it was constituted in an adequate didactic mediation that guides the teacher in his / her purpose of developing the mathematical competences of the students.Este artículo es producto de una investigación cuyo objetivo fue el de apoyar al docente de matemáticas con orientaciones didácticas para promover el desarrollo de las competencias matemáticas de los estudiantes. En el trabajo investigativo se utilizó la complementariedad metodológica y se asumieron orientaciones específicas de la investigación acción participación. El modelo teórico a priori de competencia matemática se formuló con los aportes de los investigadores Bishop, Sfard, D´Amore, Godino, Fandiño y Solar. Este modelo se aplicó durante el primer semestre de 2015 y se focalizó en una secuencia de tareas matemáticas, centrada en el actual proceso de paz entre las Fuerzas Armadas Revolucionarias de Colombia, FARC, y el gobierno colombiano. La implementación del modelo aludido se hizo con la colaboración de estudiantes de grado sexto de la Institución Educativa Jorge Eliécer Gaitán de Florencia, Caquetá. El modelo teórico a priori formulado trascendió el aspecto cognitivo; su aplicación contribuyó al desarrollo de procesos matemáticos, afectivos y de tendencia de acción para compartir y desarrollar el significado matemático en clase. De esta manera, se constituyó en una adecuada mediación didáctica que orienta al profesor en su propósito de desarrollar las Competencias Matemáticas de los estudiantes.application/pdfapplication/vnd.openxmlformats-officedocument.wordprocessingml.documentapplication/xmlspaspaUniversidad Pedagógica y Tecnológica de Colombiahttps://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072/5453https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072/6966https://revistas.uptc.edu.co/index.php/investigacion_duitama/article/view/6072/9501Derechos de autor 2017 REVISTA DE INVESTIGACIÓN, DESARROLLO E INNOVACIÓNhttp://purl.org/coar/access_right/c_abf245http://purl.org/coar/access_right/c_abf2Revista de Investigación, Desarrollo e Innovación; Vol. 7 No. 2 (2017): Enero-Junio; 301-315Revista de Investigación, Desarrollo e Innovación; Vol. 7 Núm. 2 (2017): Enero-Junio; 301-3152389-94172027-8306mathematical competencemathematical competence modelmathematical objectmathematical meaning.competencia matemáticamodelo de competencia matemáticaobjeto matemáticosignificado matemático.Implementation of an a Priori theoretical model of mathematical competence associated with the learning of a mathematical objectImplementación de un modelo teórico a Priori de competencia matemática asociado al aprendizaje de un objeto matemáticoinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6744http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a328http://purl.org/coar/version/c_970fb48d4fbd8a85García-Quiroga, BernardoCoronado, ArnulfoGiraldo-Ospina, Albeiro001/10246oai:repositorio.uptc.edu.co:001/102462025-07-18 11:51:36.632metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co