Preverbal infants spontaneously represent the number of objects in collections. Is this 'sense of number' (also referred to as Approximate Number System, ANS) part of the cognitive foundations of mathematical skills? Multiple studies reported a correlation between the ANS and mathematical achievement in children. However, some have suggested that…

Youth with attention-deficit/hyperactivity disorder (ADHD) often exhibit impairments in mathematics, but long-term math development into adulthood, particularly in females, is underexplored. We characterized trajectories of math achievement in girls with ADHD and an age- and ethnicity-matched comparison sample from childhood through early…

Math and executive functioning (EF) skills are thought to be tightly linked in early childhood. To facilitate our understanding of this link in early childhood, here we present a meta-analysis of over 1,000 different correlation values between EF and math measures in early childhood (4-6yrs). The overall average EF-Math relation was r = 0.350, 95%…

Researchers have found that early math competencies are potent predictors of later student outcomes in math, reading, and executive functioning. This paper describes what early math instruction can look like and how some states have implemented evidence-backed strategies to teaching. Recommendations are given to State education leaders seeking to…

The current study is a conceptual replication of the influence of an advanced educational opportunity and several student propensities to learn on a college-readiness assessment for mathematics (ACT scores) among an important and under-studied group of students. We focused on a sample of predominantly Black students from economically-disadvantaged…

Using the Early Childhood Longitudinal Study Kindergarten Cohort (2010-2011), this study is the first to investigate predictors of kindergarten science achievement and growth across elementary school--English language proficiency (ELP), executive functioning, math and reading achievement, parent-engaged science and math activities, and classroom…

A longitudinal study was conducted to identify unique sources of individual differences in later understanding of the equal sign as a relational symbol of equivalence (i.e., formal understanding of mathematical equivalence). The sample included 141 children from a mid-sized city in the Midwestern United States (M[subscript age] = 6 years, 2 months…

Children's ability to discriminate nonsymbolic number (e.g., the number of items in a set) is a commonly studied predictor of later math skills. Number discrimination improves throughout development, but what drives this improvement is unclear. Competing theories suggest that it may be due to a sharpening numerical representation or an improved…

Young children's symbolic magnitude understanding, or knowledge of how written numerals and number words can be ordered and compared, is thought to play an important role in their mathematical development. There is consistent evidence that symbolic magnitude skills predict mathematical achievement in later childhood and adulthood. Yet less is…

Research shows that executive functions (EF) and fine motor skills (FMS) contribute to early academic skills, possibly in overlapping ways. We examine whether and how EF and FMS interact in the concurrent prediction of maths, reading and spelling skills at the start of kindergarten. Structural Equation Modelling (SEM) on data from 1248…

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…

Young children are sensitive to both numerical and spatial magnitude cues early in development, but many questions remain about how children's attention to magnitudes relates to their early math achievement. In two studies, we tested three hypotheses related to the flexible attention to magnitudes (FAM) account, which suggests that young…

Children's ability to discriminate nonsymbolic number (e.g. the number of items in a set) is a commonly studied predictor of later math skills. Number discrimination improves throughout development, but what drives this improvement is unclear. Competing theories suggest it may be due to a sharpening numerical representation or an improved ability…

We aimed to investigate the effects of phonological awareness -- PA, rapid automatised naming -- RAN, visuospatial and verbal working memory -- WM and executive functions -- EF on the reading and arithmetic skills of children with low- to medium-performance levels. Participants were 472 Brazilian children from 3rd to 5th grades. Quantile…

We investigated whether the cool and hot executive functions (EFs) exhibited by kindergarteners could predict their academic achievement in the middle grades of elementary school. The study assessed the cool and hot EF of 48 Japanese kindergartners (M = 78.12 months) and then measured these same children's academic achievement in language and…