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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Autores:
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
Description
Summary: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.