Exact arithmetic abilities require symbolic numerals, which constitute a precise representation of quantities, such as the Arabic digits. Numerical thinking, however, also engages an intuitive non-linguistic number sense, the Approximate Number System (ANS). The ANS allows us to discriminate quantities, approximate arithmetic transformations, and…

This research examined whether children's construals of mathematical manipulatives -- as toys or as tools for doing mathematics -- influenced their learning from a lesson with the manipulatives. Children (grades 2 and 3) were presented with a set of buckets and beanbags, and they were either given no information about the manipulatives (control)…

Math anxiety negatively predicts young children's math achievement. While some researchers have suggested that math anxiety may stem from poor math ability, others have argued that math anxiety occurs at all levels of math ability. An important question is whether math anxiety predicts math achievement over and above foundational math skills. We…

The aim of this study is to investigate whether maternal spatial support during two types of joint manipulative toy play tasks with 2-year-old children was longitudinally associated with math screening test scores in second grade. The interaction between spatial support and maternal education was explored as well. We also investigated predictions…

This study describes the implementation and effects of a 32-week teacher-led spatial reasoning intervention in K-2 classrooms. The intervention targeted spatial visualization skills as an integrated feature of regular mathematics instruction. Compared to an active control group, children in the spatial intervention demonstrated gains in spatial…

As children transition from the early to later grades of elementary school, they become increasingly skilled at employing a variety of techniques -- such as rehearsal and organizational strategies -- for remembering information. Developmental changes in strategy use have been well documented, but little is known about the extent to which these…

In our current culture, children are exposed to a huge amount of audiovisual media, of which many formats include animated pictures, such as in videos, for instance. The current study addresses the use of audiovisual media in order to increase the effectiveness of learning and teaching. We examined how auditory text, audiovisual text with static…

Learning to read is a critical but often challenging academic task for young children. In the current study, we explore the relation between children's reading affect--particularly anxiety--and reading achievement in the early years of reading acquisition. We hypothesized that reading anxiety would relate to reading achievement across the school…

Statistical views of reading highlight the link between proficient literacy and the assimilation of various regularities embedded in writing systems, including those in the mapping between print and meaning. Still, orthographic-semantic (O-S) regularities remain relatively understudied, with open questions regarding 3 issues: (a) how O-S…

Although metacognition is considered a central aspect of self-regulated learning and is often linked to learning outcomes, little is known about the intraindividual development and factors that lead to developmental improvement over time. This longitudinal study investigated 2nd graders' (N = 119, aged 8-9 years) metacognitive monitoring and…

There is increasing evidence of a relationship between orthographic processing skill, or the ability to form, store and access word representations, and reading ability. Empirical research to date has not, however, clarified the direction of this relationship. We examined this question in a three-year longitudinal study of children from Grades 1…

We describe a multiple-route model of reading development in which coarse-grained orthographic processing plays a key role in optimizing access to semantics via whole-word orthographic representations. This forms part of the direct orthographic route that gradually replaces phonological recoding during the initial phases of reading acquisition.…

While preschool-aged children display some skills with quantitative relations, later learning of related fraction concepts is difficult for many students. We present two studies that investigate young children's tendency of Spontaneous Focusing On quantitative Relations (SFOR), which may help explain individual differences in the development of…

Numerical estimation has been used to study how children mentally represent numbers for many years (e.g., Siegler & Opfer, 2003). However, these studies have always presented children with positive numbers and positive number lines. Children's mental representation of negative numbers has never been addressed. The present study tested children…

Although high-quality early educational environments are thought to be related to the growth of children's skills in mathematics, relatively little is known about specific aspects of classroom instruction that may promote these abilities. Data from a longitudinal investigation were used to investigate associations between teachers' language while…