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…

In this article, we analyze symbolic and non-symbolic numerical abilities of parents in order to understand whether these are predictors of children's numerical skills, considering basic symbolic, non-symbolic, and formal math skills (i.e., written calculation). A battery of cognitive and math tasks was administered to a sample of 83 children with…

Cognitive skill differences that are apparent early in pre-kindergarten (pre-K) might provide predictive insights into risk for learning difficulties at school entry, particularly around early markers of risk for comorbid difficulties in early math and literacy. Domain-specific abilities (approximate number system or ANS acuity, phonological…

Cognitive skill differences that are apparent early in pre-kindergarten (pre-K) might provide predictive insights into risk for learning difficulties at school entry, particularly around early markers of risk for comorbid difficulties in early math and literacy. Domain-specific abilities (approximate number system or ANS acuity, phonological…

Two intervention approaches designed to address the multifaceted academic and cognitive difficulties of low-income children who enter pre-K with very low math knowledge were tested in a randomized experiment. Blocking on classroom, children who met screening criteria were assigned to a Math + Attention condition in which the Pre-Kindergarten…