Abstract

Many children struggle to successfully acquire early mathematics skills. Theoretical and empirical evidence has pointed to deficits in domain-specific skills (e.g., non-symbolic mathematics skills) or domain-general skills (e.g., executive functioning and language) as underlying low mathematical performance. In the current study, we assessed a sample of 113 three- to five-year old preschool children on a battery of domain-specific and domain-general factors in the fall and spring of their preschool year to identify Time 1 (fall) factors associated with low performance in mathematics knowledge at Time 2 (spring). We used the exploratory approach of classification and regression tree analyses, a strategy that uses step-wise partitioning to create subgroups from a larger sample using multiple predictors, to identify the factors that were the strongest classifiers of low performance for younger and older preschool children. Results indicated that the most consistent classifier of low mathematics performance at Time 2 was children’s Time 1 mathematical language skills. Further, other distinct classifiers of low performance emerged for younger and older children. These findings suggest that risk classification for low mathematics performance may differ depending on children’s age.

Highlights

  • Many children struggle to successfully acquire early mathematics skills

  • Researchers and practitioners would benefit from more targeted and effective methods for identifying which children are at-risk for later difficulties and, most importantly, the factors that help predict risk, in order to develop more targeted and long-lasting instructional effects. This study addresses these needs by utilizing classification and regression trees (CART), a method used for identifying higher-order interactions among variables, to explore how the combinations of domain-specific factors and/or domain-general factors are associated with low mathematics achievement for preschool children

  • Mathematics score at Time 1 was significantly correlated with all other variables for both age groups

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Summary

Introduction

Many children struggle to successfully acquire early mathematics skills. Theoretical and empirical evidence has pointed to deficits in domain-specific skills (e.g., non-symbolic mathematics skills) or domain-general skills (e.g., executive functioning and language) as underlying low mathematical performance. Researchers and practitioners would benefit from more targeted and effective methods for identifying which children are at-risk for later difficulties and, most importantly, the factors that help predict risk, in order to develop more targeted and long-lasting instructional effects This study addresses these needs by utilizing classification and regression trees (CART), a method used for identifying higher-order interactions among variables, to explore how the combinations of domain-specific factors (e.g., the approximate number system [ANS], initial numeracy performance) and/or domain-general factors (e.g., executive functioning, literacy/language) are associated with low mathematics achievement for preschool children. A number of theories regarding the origins of difficulties in mathematics have been posited (for an in-depth review, see Andersson & Östergren, 2012; Ashkenazi, Black, Abrams, Hoeft, & Menon, 2013) These theories typically address individual aspects of domain-specific and domain-general factors related to difficulties in mathematics (Geary, 2005)

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