Different moments in the participatory stage of the secondary students’ abstraction of mathematical conceptions
Tipo de documento
Lista de autores
Roig, Ana-Isabel, Llinares, Salvador y Penalva, María del Carmen
Resumen
This study provides support to the characteristics of participatory and anticipatory stages in secondary school pupils’ abstraction of mathematical conceptions. We carried out clinical task-based interviews with 71 secondary-school pupils to obtain evidence of the different constructed mathematical conceptions (Participatory Stage) and how they were used (Anticipatory Stage). We distinguish two moments in the Participatory Stage based on the coordination of information from particular cases by activity-effect reflection which, in some cases, lead to a change of focus enabling secondary-school pupils to achieve a reorganization of their knowledge. We argue that (a) the capacity of perceiving regularities in sets of particular cases is a characteristic of activity-effect reflection in the abstraction of mathematical conceptions in secondary school, and (b) the coordination of information by pupils provides opportunities for changing the attention-focus from the particular results to the structure of properties.
Fecha
2012
Tipo de fecha
Estado publicación
Términos clave
Abstracción | Conocimiento | Entrevistas | Métodos estadísticos
Enfoque
Nivel educativo
Educación media, bachillerato, secundaria superior (16 a 18 años) | Educación secundaria básica (12 a 16 años)
Idioma
Revisado por pares
Formato del archivo
Volumen
26
Número
44
Rango páginas (artículo)
1345-1366
ISSN
19804415
Referencias
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