Tendencias cognitivas y procesos de abstracción en el aprendizaje del Álgebra y de la Geometría

In the present paper we discuss eleven kinds of phenomena which make themselves manifest at the time students are learning new mathematical concepts and operations. These phenomena can be observed both in the classroom and during clinical interviews. When learning mathematics, new rules are constant...

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Detalhes bibliográficos
Autor: Filloy Yagüe, Eugenio
Tipo de documento: artigo
Data de publicação:1993
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:espanhol
OAI Identifier:oai:ddd.uab.cat:23386
Acesso em linha:https://ddd.uab.cat/record/23386
https://dx.doi.org/urn:doi:10.5565/rev/ensciencias.4531
Access Level:Acceso aberto
Palavra-chave:Resolució d'equacions
Teorema de Thales
Sistemes matemàtics de signes (SMS)
Abreviació de textos
Dotació de sentits intermedis
Abstracció i cognició
Anàlisi historicocrític de texts matemàtics
Descrição
Resumo:In the present paper we discuss eleven kinds of phenomena which make themselves manifest at the time students are learning new mathematical concepts and operations. These phenomena can be observed both in the classroom and during clinical interviews. When learning mathematics, new rules are constantly being formed, due to the fact that new ways are found to extend conceptual networks previously developed. A central aspect in this point of view is the idea of sense, as opposed to meaning, when speaking about an MSS. In all the cornments, we have tried to distinguish between these two notions: meaning and sense.