Pre-service mathematics teachers’ discourse: Differences between defining in task situations involving prototypical and non-prototypical solids

The literature has highlighted the significant role of definitions and defining in mathematics learning and teaching. Furthermore, non-prototypical figures are particularly important when teaching geometry, but teachers and pre-service teachers still have problems defining them. For these reasons, w...

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Detalles Bibliográficos
Autores: Toscano Barragán, Rocío, Fernández Leon, Aurora, Gavilán Izquierdo, José María, González Regaña, Alfonso José, Martín Molina, Verónica
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/161298
Acceso en línea:https://hdl.handle.net/11441/161298
https://doi.org/10.1016/j.jmathb.2024.101170
Access Level:acceso abierto
Palabra clave:Commognitive conflicts
Defining
Pre-service mathematics teachers
Prototypical examples
Routines
Descripción
Sumario:The literature has highlighted the significant role of definitions and defining in mathematics learning and teaching. Furthermore, non-prototypical figures are particularly important when teaching geometry, but teachers and pre-service teachers still have problems defining them. For these reasons, we investigated whether there were differences in the way that pre-service mathematics teachers constructed and selected definitions for prototypical and non- prototypical solids. In particular, the commognitive framework was employed to investigate the differences in the discourse of 33 pre-service secondary-school teachers when constructing and selecting definitions in task situations that involved prototypical and non-prototypical solids. Moreover, we studied if some commognitive conflicts appeared in task situations involving non- prototypical solids but not in similar task situations involving prototypical solids. The findings show some differences between the pre-service teachers’ discourses in both types of task situa tions. Additionally, some commognitive conflicts appeared only in task situations with non- prototypical solids. Lastly, we classified those commognitive conflicts.