Exploring individual differences in children's mathematical skills: a correlational and dimensional approach

Psychol Rep. 2013 Aug;113(1):1035-42. doi: 10.2466/04.10.pr0.113x12z2.

Abstract

Individual differences in mathematical skills are typically explained by an innate capability to solve mathematical tasks. At the behavioural level this implies a consistent level of mathematical achievement that can be captured by strong relationships between tasks, as well as by a single statistical dimension that underlies performance on all mathematical tasks. To investigate this general assumption, the present study explored interrelations and dimensions of mathematical skills. For this purpose, 68 ten-year-old children from two schools were tested using nine mathematics tasks from the Basic Knowledge in Mathematics Test. Relatively low-to-moderate correlations between the mathematics tasks indicated most tasks shared less than 25% of their variance. There were four principal components, accounting for 70% of the variance in mathematical skill across tasks and participants. The high specificity in mathematical skills was discussed in relation to the principle of task specificity of learning.

MeSH terms

  • Achievement*
  • Child
  • Female
  • Humans
  • Individuality*
  • Male
  • Mathematics*
  • Norway
  • Principal Component Analysis