Early numerical skills are important not only for later mathematical achievement but for overall achievement and are associated with later income, health, and quality of life. Socioeconomic disparities in numerical skills are visible before children begin school, and widen throughout schooling. It is, therefore, important to support the…

Children's early understanding of mathematics provides a foundation for later success in school. Identifying ways to enhance mathematical instruction is crucial to understanding the ideal ways to promote academic success. Previous work has identified mathematical language (i.e., the words and concepts related to early mathematical development such…

The home numeracy environment (HNE) is an essential factor to explain family engagement in relation to numeracy. Research in this field has mostly focused on English-speaking families and has not taken into consideration cultural differences that contextualize the home environment. Measuring HNE in more ethnically diverse samples might counter…

This study evaluates the effectiveness of a dialogic reading picture book intervention on preschoolers' repeating patterning ability. Ninety-four children age 4 years 1 month to 6 years 8 months (M[subscript age] = 5 years 0 months) were randomly assigned to intervention (n = 46) or active control (n = 48) conditions. Well-trained university and…

This longitudinal cross-lagged panel study investigated the development of the structure of young children's spontaneous number focusing tendencies and their longitudinal associations with numerical abilities and mathematics achievement over the course of a 3-year period, that is, in the second and third year of kindergarten and in first grade of…

The goal of this study was to evaluate immediate and delayed effects of a caregiver-implemented picture book intervention to support children's mathematical language and numeracy skills. Eighty-four 3- to 5-year-olds (M[subscript age] = 4.14) were randomly assigned to intervention (n = 40) or active control (n = 44) conditions. Participants in the…

We explored the challenges, limitations, and potential effectiveness of a large-scale computerized working memory and numeracy intervention in the classroom with children at risk of mathematical learning disabilities (n = 428, M[subscript age] = 83.85 months, 41% female). Children were assigned to four different treatment protocols (working memory…

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…

Preschoolers' repeating patterning knowledge is predictive of their concurrent and later math and numeracy knowledge, but strong experimental evidence is needed to determine if these relations are causal. The purpose of the current study was to examine the causal effects of repeating patterning and numeracy tutoring on repeating patterning,…

Measurement and statistical investigation are areas of mathematics visibly neglected in educational intervention research, particularly studies involving students with or at risk for mathematics difficulties (MD). This shortage is concerning given the importance these areas hold in students' pursuit of mathematical proficiency. This study…

Classroom-level influences on literacy skills in kindergarten through Grade 2, and on literacy and numeracy skills in Grades 3, 5, 7, and 9, were examined by comparing the similarity of twins who shared or did not share classrooms with each other. We analyzed two samples using structural equation modeling adapted for twin data. The first, Study 1,…

Cognitive, numeracy, and motivational factors have been implicated in math achievement. However, few studies have investigated these factors simultaneously and in middle childhood, limiting our understanding of the relative contributions of these factors during an important developmental period. The current study investigated how one numeracy,…

Numerical magnitude knowledge is related to current math abilities and predictive of future math learning. However, this relationship has previously been shown only for knowledge of positive magnitudes; the present study is the first, to our knowledge, to examine the connection between magnitude knowledge and math ability with negative integers.…

Children's first mathematics concept is their understanding of the quantities represented by number words (cardinal value), and the age at which they achieve this insight predicts their readiness for mathematics learning in school. We provide the first exploration of the factors that influence the age of becoming a cardinal principle knower (CPK),…

Spatial skills have been consistently linked to mathematics achievement in older students and adults, but we know little about their relationship to mathematics achievement in elementary school. This study examined how spatial skills influenced the development of number sense, and subsequent mathematics competency, as students progressed from the…