N° 0 - Julio 2016 : "CLUSTERING ANALYSIS AS A WINDOW INTO CHILDREN’S STRATEGIES FOR COMPARING FRACTIONS"
Título : "CLUSTERING ANALYSIS AS A WINDOW INTO CHILDREN’S STRATEGIES FOR COMPARING FRACTIONS"
Número : 0
Mes : Julio
Año : 2016
Gómez, D.; Dartnell, P.
Abstract : Individual differences are ubiquitous in human cognition, and learning Mathematics is not an
exception. In this work, we studied the biases and strategies deployed by middle school children
(N=490) in a computerized fraction comparison task. Whereas overall results suggest the presence
of a strong bias for mistaking component magnitude for fraction magnitude, a clustering analysis
reveals the coexistence of at least five distinct manners of reasoning. This implies that cognitive
models of the learning of fractions must take into account individual variability in terms of strategy
use. Furthermore, discovering such groups holds promise not only for research purposes, but also
as a contribution to teaching practices because of its potential to expose common mistake patterns.