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
id ir-1992-32131
recordtype dspace
spelling ir-1992-321312020-09-18T13:57:35Z Meaning of the part-whole relation and the concept of fraction for primary teachers Castro-Rodríguez, Elena Rico, Luis Gómez, Pedro Tso, Y. T. Significado Inicial Números racionales Comprensión 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. 2020-06-02T16:17:38Z 2020-06-02T16:17:38Z 2012 bookPart publishedVersion Castro-Rodríguez, Elena; Rico, Luis; Gómez, Pedro (2012). Meaning of the part-whole relation and the concept of fraction for primary teachers. En Tso, Y. T. (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathema http://hdl.handle.net/1992/32131 http://funes.uniandes.edu.co/2032/ eng Attribution-NonCommercial-NoDerivs 2.5 Generic https://creativecommons.org/licenses/by-nc-nd/2.5/ openAccess application/pdf Taipei, Taiwan PME instname:Universidad de los Andes reponame:Repositorio Institucional Séneca
institution Universidad de los Andes
collection DSpace
language Inglés (English)
topic Significado
Inicial
Números racionales
Comprensión
spellingShingle Significado
Inicial
Números racionales
Comprensión
Castro-Rodríguez, Elena
Rico, Luis
Gómez, Pedro
Meaning of the part-whole relation and the concept of fraction for primary teachers
description 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.
author2 Tso, Y. T.
author_facet Tso, Y. T.
Castro-Rodríguez, Elena
Rico, Luis
Gómez, Pedro
format Capítulo de libro (Book Chapter)
author Castro-Rodríguez, Elena
Rico, Luis
Gómez, Pedro
author_sort Castro-Rodríguez, Elena
title Meaning of the part-whole relation and the concept of fraction for primary teachers
title_short Meaning of the part-whole relation and the concept of fraction for primary teachers
title_full Meaning of the part-whole relation and the concept of fraction for primary teachers
title_fullStr Meaning of the part-whole relation and the concept of fraction for primary teachers
title_full_unstemmed Meaning of the part-whole relation and the concept of fraction for primary teachers
title_sort meaning of the part-whole relation and the concept of fraction for primary teachers
publisher PME
publishDate 2020
url http://hdl.handle.net/1992/32131
_version_ 1705934387951960064
score 12,131701