Profiles of children's arithmetic fact development: a model-based clustering approach.
The current longitudinal study tried to capture profiles of individual differences in children's arithmetic fact development. We used a model-based clustering approach to delineate profiles of arithmetic fact development based on empirically derived differences in parameters of arithmetic fact mastery repeatedly assessed at the start of three subsequent school years: third, fourth, and fifth grades. This cluster analysis revealed three profiles in a random sample-slow and variable (n = 8), average (n = 24), and efficient (n = 20)-that were marked by differences in children's development in arithmetic fact mastery from third grade to fifth grade. These profiles did not differ in terms of age, sex, socioeconomic status, or intellectual ability. In addition, we explored whether these profiles varied in cognitive skills that have been associated with individual differences in single-digit arithmetic. The three profiles differed in nonsymbolic and symbolic numerical magnitude processing as well as phonological processing, but not in digit naming or working memory. After also controlling for cluster differences in general mathematics achievement and reading ability, only differences in symbolic numerical magnitude processing remained significant. Taken together, our longitudinal data reveal that symbolic numerical magnitude processing represents an important variable that contributes to individual variability in children's acquisition of arithmetic facts.
Parenting and Special Education Research Unit, Faculty of Psychology and Educational Sciences, KU Leuven, B-3000 Leuven, Belgium. Electronic address: kiran.vanbinst@ppw.kuleuven.be.
Kiran
K
Vanbinst
Parenting and Special Education Research Unit, Faculty of Psychology and Educational Sciences, KU Leuven, B-3000 Leuven, Belgium.
Eva
E
Ceulemans
Parenting and Special Education Research Unit, Faculty of Psychology and Educational Sciences, KU Leuven, B-3000 Leuven, Belgium.
Pol
P
Ghesquière
Parenting and Special Education Research Unit, Faculty of Psychology and Educational Sciences, KU Leuven, B-3000 Leuven, Belgium. Electronic address: bert.desmedt@ppw.kuleuven.be.
Bert
B
De Smedt
D000367:Age Factors; D001076:Aptitude; D002648:Child; D002657:Child Development; D004522:Educational Status; D005260:Female; D006801:Humans; D007360:Intelligence; D008297:Male; D008433:Mathematics; D008570:Memory, Short-Term; D008960:Models, Psychological; D011932:Reading; D012737:Sex Factors; D012959:Socioeconomic Factors
Arithmetic fact development; Clustering approach; Longitudinal design; Numerical magnitude processing; Phonological processing; Working memory