There is evidence of a relation between the approximate number system (ANS) and later mathematics achievement. Researchers have proposed various mediators of this relation, including executive functioning (EF), numeral knowledge, and mathematical language. The goal of the present study was to determine which factors mediate the relation between…

Research has established that executive functions, the skills required to monitor and control thought and action, are related to achievement in mathematics. Until recently research has focused on working memory, but studies are beginning to show that inhibition skills--the ability to suppress distracting information and unwanted responses--are…

This longitudinal study examines the relative importance of counting ability, additive reasoning, and working memory in children's mathematical achievement (calculation and story problem solving). In Hong Kong, 115 Chinese children aged 6 years old participated in 2 waves of assessments (T1 = first grade and T2 = second grade). Multiple regression…

The study assessed the relations among acuity of the inherent approximate number system (ANS), performance on measures of symbolic quantitative knowledge, and mathematics achievement for a sample of 138 (64 boys) preschoolers. The Weber fraction (a measure of ANS acuity) and associated task accuracy were significantly correlated with mathematics…

Pennsylvania Pre-K Counts (PA PKC) is a state-funded prekindergarten program for 3- and 4- year-old children to help them gain school readiness skills. The goal of PA PKC is to help reduce educational disparities by providing high quality prekindergarten for children who lack opportunities or reside in environments that place them at risk of…

The present study explored direct and interactive effects between behavioral self-regulation (SR) and two measures of executive function (EF, inhibitory control and working memory), with a fine motor measure tapping visuomotor skills (VMS) in a sample of 127 prekindergarten and kindergarten children. It also examined the relative contribution of…

We examined developmental and individual differences in 6th and 8th graders' fraction arithmetic and overall mathematics achievement and related them to differences in understanding of fraction magnitudes, whole number division, executive functioning, and metacognitive judgments within a crosssectional design. Results indicated that the difference…

Executive control (EC) is related to mathematics performance in middle childhood. However, little is known regarding how EC and informal numeracy differentially support mathematics skill acquisition in preschoolers. A sample of preschoolers (115 girls, 113 boys), stratified by social risk, completed an EC task battery at 3 years, informal numeracy…

We examined developmental and individual differences in 6th and 8th graders' fraction arithmetic and overall mathematics achievement and related them to differences in understanding of fraction magnitudes, whole number division, executive functioning, and metacognitive judgments within a cross-sectional design. Results indicated that the…

The present study investigated whether (a) growth patterns related to cognitive processing (working memory, updating, inhibition) differed in subgroups of children with reading disabilities (RD) and (b) growth in working memory (executive processing) predicted growth in other cognitive areas, such as reading and math. Seventy-three children (ages…