The author has been influenced throughout his time in mathematics education by the work of Caleb Gattegno. Gattegno made extensive use of the word awareness whereas much educational literature from a psychological perspective talks about memory (for example, Justicia-Galiano, MartÌn-Puga, Linares & Pelegrina, 2017). This has, amongst other…

This study explores how kindergarten students from a multilingual sample (n=131) representing 23 different languages differ in response to intervention, based on their skill in mathematics and domain general cognitive skills. Analyses for this study indicate significant correlations between initial math skill, phonological memory, working memory,…

This study explores how kindergarten students from a multilingual sample (n = 131) representing 23 different languages differ in response to intervention, based on their skill in mathematics and domain general cognitive skills. Analyses for this study indicate significant correlations between initial math skill, phonological memory, working…

Previous research has investigated the Spatial Numerical Associations of Response Codes (SNARC) effect as a measure of spatial number coding in relation to mathematics (Cipora et al., 2020, https://doi.org/10.1111/nyas.14355). An issue that arises if one wants to correlate mathematical performance with the SNARC effect, is how individual…

Background: Recent research suggested fluent processing as an explanation on why number sense contributes to simple arithmetic tasks--'Fluency hypothesis'. Aims: The current study investigates whether number sense contributes to such arithmetic tasks when other cognitive factors are controlled for (including those that mediate the link); and…

This study investigates the relationship among working memory (WM), mathematics, and language, with the aim of understanding: (1) whether the functions and capacities of WM components can predict achievement in language and mathematics; and (2) whether competence in the first language (L1) and achievement in mathematics can predict success in…

Children and adult learners benefit from viewing hand gestures at instruction across domains (Cook, Duffy, & Fenn, 2013; Huang, Kim, & Christianson, 2019; Ping & Goldin-Meadow, 2008). Within the domain of mathematical learning, gesture at instruction has been shown to benefit children and adults in laboratory and classroom settings…

Cognitive load theory (CLT) uses working memory resources depletion to explain the superiority of spaced learning, predicting that working memory resources will be less taxed if there are resting/spacing periods inserted between learning tasks, in comparison to learning from the same tasks in a single session. This article uses the working memory…

Manipulative artefacts are considered useful scaffolds of arithmetic during early years education, but their use is considered less important as children get older. Yet adult arithmetic performance often recruits artefacts to improve accuracy and efficiency, and so the same benefits should accrue to children beyond early years. We propose that…

The present study analyzed the relationship between domain-general abilities and fraction knowledge in fifth grade, and investigated the mediating role of division competence in that relationship. Children (n = 175) were assessed in fourth grade on domain-general abilities (selective attention, working memory, fluid intelligence) and on division…

Young children can quickly and intuitively represent the number of objects in a visual scene through the Approximate Number System (ANS). The precision of the ANS--indexed as the most difficult ratio of two numbers that children can reliably discriminate--is well known to improve with development: whereas infants require relatively large ratios to…

This study investigated the effect of children's first formal school years on mathematical skill profiles, measured by a variety of arithmetical skills and Spontaneous Focusing On Numerosity (SFON) tasks. By using person-centered approach the aim was to investigate whether the amount of formal schooling is associated with mathematical skills in…

This longitudinal study aimed to identify specific executive function (EF) profiles in 5-year-old children and to examine the association between these profiles and later math achievement. Six EF measures were administered to 175 children who were then tested in Grades 1 and 3 on math tasks. Using a cluster analysis, four EF profiles were…

To determine whether patterning instruction was as useful or more useful than other forms of instruction, kindergarten children (age five) were taught either patterning or early literacy or mathematics or social studies in matched sessions. Instruction was conducted in 15-minute sessions from November through mid-April. Posttests on patterning,…

Although mathematics development research has become more prominent in the school psychology literature in recent years, a large research gap in this area exists regarding English language learners (ELLs). Significant research in education, cognitive science, and psychology has been devoted to understanding the links between language and…