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

Autores : 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.


 

 

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