Influence of the didactic contract in learning the concept of function

This article is the product of an on-going research project about the influences of the didactic contract in the learning of mathematics, and especially regarding the concept of function. This project emerged from preoccupation with the typical collective failure or low academic performance of stude...

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Tipo de recurso:
http://purl.org/coar/resource_type/c_6842
Fecha de publicación:
2011
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/13293
Acceso en línea:
https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1113
https://repositorio.uptc.edu.co/handle/001/13293
Palabra clave:
mathematics
treaching
learning
didactic contract
didactic transposition
mathematical function.
Matemáticas
enseñanza
aprendizaje
contrato didáctico
transposición didáctica
función matemática.
Mathématiques
enseignement
apprentissage
contrat didactique
transposition didactique
fonction mathématique
Matemática
ensino
aprendizagem
contrato didático
obstáculo
transposição didática
função.
Rights
License
http://purl.org/coar/access_right/c_abf343
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dc.title.en-US.fl_str_mv Influence of the didactic contract in learning the concept of function
dc.title.es-ES.fl_str_mv Influencias del contrato didáctico en el aprendizaje del concepto de función
dc.title.fr-FR.fl_str_mv Des influences du contrat didactique dans l’apprentissage du concept de fonction
dc.title.pt-BR.fl_str_mv Influências do contrato didático na aprendizagem do concepto de função
title Influence of the didactic contract in learning the concept of function
spellingShingle Influence of the didactic contract in learning the concept of function
mathematics
treaching
learning
didactic contract
didactic transposition
mathematical function.
Matemáticas
enseñanza
aprendizaje
contrato didáctico
transposición didáctica
función matemática.
Mathématiques
enseignement
apprentissage
contrat didactique
transposition didactique
fonction mathématique
Matemática
ensino
aprendizagem
contrato didático
obstáculo
transposição didática
função.
title_short Influence of the didactic contract in learning the concept of function
title_full Influence of the didactic contract in learning the concept of function
title_fullStr Influence of the didactic contract in learning the concept of function
title_full_unstemmed Influence of the didactic contract in learning the concept of function
title_sort Influence of the didactic contract in learning the concept of function
dc.subject.en-US.fl_str_mv mathematics
treaching
learning
didactic contract
didactic transposition
mathematical function.
topic mathematics
treaching
learning
didactic contract
didactic transposition
mathematical function.
Matemáticas
enseñanza
aprendizaje
contrato didáctico
transposición didáctica
función matemática.
Mathématiques
enseignement
apprentissage
contrat didactique
transposition didactique
fonction mathématique
Matemática
ensino
aprendizagem
contrato didático
obstáculo
transposição didática
função.
dc.subject.es-ES.fl_str_mv Matemáticas
enseñanza
aprendizaje
contrato didáctico
transposición didáctica
función matemática.
dc.subject.fr-FR.fl_str_mv Mathématiques
enseignement
apprentissage
contrat didactique
transposition didactique
fonction mathématique
dc.subject.pt-BR.fl_str_mv Matemática
ensino
aprendizagem
contrato didático
obstáculo
transposição didática
função.
description This article is the product of an on-going research project about the influences of the didactic contract in the learning of mathematics, and especially regarding the concept of function. This project emerged from preoccupation with the typical collective failure or low academic performance of students in mathematics class, and from the importance of the concept of function in the compulsory teaching of high school and undergraduate university level. We identified didactic and epistemological learning obstacles with the objective of achieving a clearer evaluation of possible hereditary and non-hereditary intellectual difficulties, based on the study of their genesis and historical evolution, as well as of the conceptions held by teachers who induced the presentation of this concept., this based on the adaptations made by the introduction of didactic objects, which permitted the transposition of this mathematical object of knowledge into a school object of knowledge. Some obstacles were found to be present in the implicit clauses of the didactic contract in the learning of the concept, which manifest themselves in students at the moment of demonstrating what they know about the topic.
publishDate 2011
dc.date.accessioned.none.fl_str_mv 2024-07-05T19:03:53Z
dc.date.available.none.fl_str_mv 2024-07-05T19:03:53Z
dc.date.none.fl_str_mv 2011-01-06
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_6842
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
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format http://purl.org/coar/resource_type/c_6842
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1113
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/13293
url https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1113
https://repositorio.uptc.edu.co/handle/001/13293
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/praxis_saber/article/view/1113/1112
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_abf343
rights_invalid_str_mv http://purl.org/coar/access_right/c_abf343
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dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia
dc.source.en-US.fl_str_mv Praxis & Saber; Vol. 2 No. 3 (2011): Educación Matemática; 119-138
dc.source.es-ES.fl_str_mv Praxis & Saber; Vol. 2 Núm. 3 (2011): Educación Matemática; 119-138
dc.source.fr-FR.fl_str_mv Praxis & Saber; Vol. 2 No 3 (2011): Educación Matemática; 119-138
dc.source.it-IT.fl_str_mv Praxis & Saber; V. 2 N. 3 (2011): Educación Matemática; 119-138
dc.source.pt-BR.fl_str_mv Praxis & Saber; v. 2 n. 3 (2011): Educación Matemática; 119-138
dc.source.none.fl_str_mv 2462-8603
2216-0159
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
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spelling 2011-01-062024-07-05T19:03:53Z2024-07-05T19:03:53Zhttps://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1113https://repositorio.uptc.edu.co/handle/001/13293This article is the product of an on-going research project about the influences of the didactic contract in the learning of mathematics, and especially regarding the concept of function. This project emerged from preoccupation with the typical collective failure or low academic performance of students in mathematics class, and from the importance of the concept of function in the compulsory teaching of high school and undergraduate university level. We identified didactic and epistemological learning obstacles with the objective of achieving a clearer evaluation of possible hereditary and non-hereditary intellectual difficulties, based on the study of their genesis and historical evolution, as well as of the conceptions held by teachers who induced the presentation of this concept., this based on the adaptations made by the introduction of didactic objects, which permitted the transposition of this mathematical object of knowledge into a school object of knowledge. Some obstacles were found to be present in the implicit clauses of the didactic contract in the learning of the concept, which manifest themselves in students at the moment of demonstrating what they know about the topic.El artículo es producto de un proyecto de investigación en curso sobre las influencias del  contrato didáctico en el aprendizaje de las matemáticas, y específicamente del concepto de  función. El proyecto partió de la preocupación por el típico fracaso colectivo o el bajo rendimiento de los estudiantes en la clase de matemáticas, y por la importancia del concepto de  función en la enseñanza obligatoria de la educación media y superior. Se identifican obstáculos didácticos y epistemológicos relevantes para el aprendizaje, con el objetivo de evaluar mejor las posibles dificultades intelectuales, heredadas y no heredadas, desde el estudio de  su génesis y evolución histórica, y las concepciones que portan los maestros e inducen la presentación del concepto a raíz de adaptaciones hechas por la introducción de objetos didácticos, que permiten trasponer este saber matemático en un saber escolar. Algunos obstáculos se encuentran presentes en las cláusulas implícitas del contrato didáctico en el aprendizaje del concepto, manifestándose en los estudiantes a la hora de mostrar lo que conocen del tema.L’article est le produit d’un projet de recherche en développement, sur les influences du contrat didactique dans l’apprentissage des mathématiques, et spécifiquement du concept de fonction. Le projet a eu comme point de départ le souci pour le typique échec collectif ou le bas rendement des étudiants dans le cours de mathématiques, et pour l’importance du concept de fonction dans l’enseignement obligatoire de l’éducation secondaire et supérieure. On identifie des obstacles didactiques et épistémologiques pertinents pour l’apprentissage, avec l’objectif de mieux évaluer les possibles difficultés intellectuelles, héritées et non héritées, depuis l’étude de leur genèse et leur évolution historique, et les conceptions qui portent les professeurs et induisent la présentation du concept `a partir des adaptations faites par l’introduction des objets didactiques, qui permettent la transposition de ce savoir mathématique dans un savoir scolaire. Quelques obstacles se trouvent dans les clauses implicites du contrat didactique dans l’apprentissage du concept, en se manifestant chez les étudiants au moment de montrer ce qu’ils savent du sujet.O artigo, resultado de um projeto de pesquisa em andamento apresenta uma aproximação à caracterização das influencias do contrato didático na aprendizagem da matemática e especificamente no concepto de função, baseadas na preocupação do típico fracasso escolar na matemática e na importância do concepto de função no ensino médio e superior. Identificam-se obstáculos didáticos e epistemológicos marcantes que dificultam a aprendizagem, com o intuito de avaliar melhor as possíveis dificuldades intelectuais, herdadas e não herdadas desde o estudo da sua gênese e evolução histórica, e das concepções que têm os professores, e a sua incidência nas salas de aula na apresentação dos conceptos na transposição didática do saber matemático acadêmico que o converte em saber escolar. Alguns obstáculos encontram-se nas clausulas implícitas do contrato didático e que são observadas nos alunos quando eles referem-se ao tema.application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombiahttps://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1113/1112Praxis & Saber; Vol. 2 No. 3 (2011): Educación Matemática; 119-138Praxis & Saber; Vol. 2 Núm. 3 (2011): Educación Matemática; 119-138Praxis & Saber; Vol. 2 No 3 (2011): Educación Matemática; 119-138Praxis & Saber; V. 2 N. 3 (2011): Educación Matemática; 119-138Praxis & Saber; v. 2 n. 3 (2011): Educación Matemática; 119-1382462-86032216-0159mathematicstreachinglearningdidactic contractdidactic transpositionmathematical function.Matemáticasenseñanzaaprendizajecontrato didácticotransposición didácticafunción matemática.Mathématiquesenseignementapprentissagecontrat didactiquetransposition didactiquefonction mathématiqueMatemáticaensinoaprendizagemcontrato didáticoobstáculotransposição didáticafunção.Influence of the didactic contract in learning the concept of functionInfluencias del contrato didáctico en el aprendizaje del concepto de funciónDes influences du contrat didactique dans l’apprentissage du concept de fonctionInfluências do contrato didático na aprendizagem do concepto de funçãoinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6842http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a426http://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/access_right/c_abf343http://purl.org/coar/access_right/c_abf2Riscanevo Espitia, Lida EsperanzaCristancho Cruz, Kelly JohannaFonseca Ochoa, Claudia Patricia001/13293oai:repositorio.uptc.edu.co:001/132932025-07-18 11:44:11.64metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co