Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…

Canadian students enrolled in either French-immersion or English-instruction programs were followed from Grades 2 to 3 (M[subscript age] = 7.8 years to 8.9 years; N = 244; 55% girls). In each grade, students completed two mathematical tasks that required oral language processing (i.e., word-problem solving and number transcoding from dictation)…

Research Findings: This study evaluated the effects of an early mathematics intervention designed to engage preschool children, their teachers, and their families in an interactive mathematics game. Previous research shows that playing this specific type of linear board game results in increased numerical skills and understanding in young children…

Children start preschool with large individual differences in their early numerical abilities. Little is known about the importance of heterogeneous patterns that exist within these individual differences. A person-centered analytic approach might be helpful to unravel these patterns and the cognitive and environmental factors that are associated…

The goal of the current study is to develop a more complete understanding of the early "home math environment," encompassing both numeracy and non-numeracy aspects of that environment. Parents of preschoolers (n = 63) were surveyed about their support of three components of early mathematics knowledge (i.e., numeracy, spatial, and…

International research suggests that early mathematical competences predicts later mathematical outcomes. In this paper, we build on our previous study of young children's mathematical competencies (MacDonald & Carmichael, 2015) to explore the relationship between mathematical competencies at 4-5 years, as measured by teacher ratings, and…

The importance of fraction knowledge to later mathematics achievement, along with U.S. students' poor knowledge of fraction concepts and procedures, has prompted research on the development of fraction learning. In the present study, participants' (N = 536) development of fraction magnitude understanding and fraction arithmetic skills was assessed…

The goal of the present article is to synthesize findings to date from the Delaware Longitudinal Study of Fraction Learning. The study followed a large cohort of children (N = 536) between Grades 3 and 6. The findings showed that many students, especially those with diagnosed learning disabilities, made minimal growth in fraction knowledge and…

In this study I hypothesize a larger penalty of obesity on teacher-assessed academic performance for white girls in English, where femininity is privileged, than in math, where stereotypical femininity is perceived to be a detriment. This pattern of associations would be expected if obesity largely influences academic performance through social…

This paper describes students' developing meta-representational competence, drawn from the second phase of a longitudinal study, "Transforming Children's Mathematical and Scientific Development." A group of 21 highly able Grade 1 students was engaged in mathematics/science investigations as part of a data modelling program. A pedagogical…

This study investigated longitudinal pathways leading from early spatial skills in first-grade girls to their fifth-grade analytical math reasoning abilities (N = 138). First-grade assessments included spatial skills, verbal skills, addition/subtraction skills, and frequency of choice of a decomposition or retrieval strategy on the…

Curriculum development during early childhood is informed through an understanding of the cognitive skills that develop concurrently in the earliest years. Extending previous work, this study examined the relationship between early mathematics and phonological awareness (PA) skills for 37 children (14 girls; overall mean age?=?47.6 months,…

A 3-year longitudinal study "Transforming Children's Mathematical and Scientific Development" integrates, through data modelling, a pedagogical approach focused on mathematical patterns and structural relationships with learning in science. As part of this study, a purposive sample of 21 highly able Grade 1 students was engaged in an…

Research Findings: This study examined the impact of MyTeachingPartner-Math/Science, a system of math and science curricula and professional development, on the quality of teachers' interactions with children in their classrooms. Schools were randomly assigned to 1 of 2 intervention conditions (Basic: curricula providing within-activity, embedded…

The "MTP-Math/Science" curricula specifically target the teaching and learning of children at risk of early school failure, a population for whom achievement gaps in mathematics and science are visible even in Pre-K years. "MTP-Math" is based on Focal Areas defined by the National Council of Teachers of Mathematics (NCTM)…