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...

Full description

Autores:
Castro-Rodríguez, Elena
Rico, Luis
Gómez, Pedro
Tipo de recurso:
Part of book
Fecha de publicación:
2012
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/32131
Acceso en línea:
http://hdl.handle.net/1992/32131
http://funes.uniandes.edu.co/2032/
Palabra clave:
Significado
Inicial
Números racionales
Comprensión
Educación / Licenciaturas
Rights
openAccess
License
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Description
Summary: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.