Meaning of the part-whole relation and the concept of fraction for primary teachers

The part-whole relation is complex and raises questions that affect different disciplines. Researchers have proposed different interpretations of the notions of fraction and rational number (e.g., Behr, Lesh, Post & Silver, 1983; Kieren, 1976). We highlight three kinds of relations in the study...

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Detalles Bibliográficos
Autores Principales: Castro-Rodríguez, Elena, Rico, Luis, Gómez, Pedro
Otros Autores: Tso, Y. T.
Formato: Capítulo de libro (Book Chapter)
Lenguaje:Inglés (English)
Publicado: PME 2020
Materias:
Acceso en línea:http://hdl.handle.net/1992/32131
Descripción
Sumario:The part-whole relation is complex and raises questions that affect different disciplines. Researchers have proposed different interpretations of the notions of fraction and rational number (e.g., Behr, Lesh, Post & Silver, 1983; Kieren, 1976). We highlight three kinds of relations in the study of rational numbers¿the part whole-relation, the part-part relation, and the functional relation¿through which we organize the different subconstructs of rational number. We claim that the meaning of fractions should be understood through three components: their mathematical structure, their representations and their senses.