Part of a larger initiation mixed methods study (Greene, Caracelli, & Graham, 1989), this paper discusses the changes in young children's learning performance and efficiency (one element of the quantitative portion of the larger study) during clinical interviews in which each child interacted with a variety of virtual manipulative…

This paper presents a model of numeracy that integrates the use of digital technologies among other elements of teaching and learning mathematics. Drawing on data from a school-based project, which includes records of classroom observations, semi-structured teacher interviews and artefacts such as student work samples, a classroom-based vignette…

The objective of the paper is to re-examine the mother-child education achievement hypothesis, by re-examining the effect of mother's education, on math and literacy test scores of children in Kenya. Data come from the classroom Education Research Programme at the African Population and Health Research Centre which was collected between January…

This study evaluates the efficacy of a mathematics intervention devised by Essex Educational Psychology Service (EPS), UK. The intervention was designed to develop understanding and skills across four key domains within arithmetical development, by applying the principles of errorless learning, distributed practice and teaching to mastery. A…

This paper discusses the critical situations I have been asked to "improve" by providing professional development for teams of adult numeracy and functional mathematics teachers in the post-16 sector in London. These situations have not been identified through any research process, but arise from internal management reviews of course…

The current study examined income disparities in a comprehensive set of preschoolers' outcomes (verbal ability, developmental skills, number knowledge, and hyperactivity) and the factors that could reduce differences in outcomes between children in the lowest and highest household income quartiles. Findings using Cycle 6 data from the Canadian…

This article reports on a study carried out with a group of 108 practising Mathematical Literacy (ML) teachers who participated in an Advanced Certificate in Education (ACE) programme. The purpose of the qualitative study was to identify and describe the teachers' varying levels of engagement with mathematics tools and resources. The teachers were…

This article describes a project that focuses on how a Society and Environment unit could develop required numeracy. This is more of an integrated unit organised around a theme rather than a Society and Environment unit that required specific aspects of numeracy. Suggested data sources for examining students numeracy development included (1) a…

How do our mental representations of number change over development? The dominant view holds that children (and adults) possess multiple representations of number, and that age and experience lead to a shift from greater reliance upon logarithmically organized number representations to greater reliance upon more accurate, linear representations.…

The purpose of this extended commentary article is to frame the set of studies in the first of two issues and recommend areas of inquiry for future research. This special series issue features studies examining the technical qualities of formative assessment procedures that were developed to inform intervention. This article intends to emphasize…

The home numeracy environment (i.e., parents' numeracy expectations and activities), is related to early numeracy in young children. As recent studies have shown that both cognitive and linguistic factors play an important role in predicting numeracy development, it may be assumed that rather than the home "numeracy" environment, the…

This study compares the judgments that teachers make on their students' mathematics achievement with results taken from Australia's National Assessment Program: Literacy and Numeracy (NAPLAN). Using a sample of 2144 students, drawn from the Longitudinal Study of Australian Children (LSAC), the study develops two regression models: one with teacher…

The current study examined the development of two effects that have been found in single-digit multiplication errors: relatedness and distance. Typically achieving (TA) second, fourth, and sixth graders and adults, and sixth and eighth graders with a mathematics learning disability (MLD) performed a verification task. Relatedness was defined by a…

In this article, I report on the first stage of a whole school literacy project," Embedding Literacies in the KLAs" (ELK), which aims to support multilingual learners to access the literacies they need for high stakes curriculum learning. As it is "quality teaching" that has been found to have the greatest impact on student…

Many children who would not be identified as having special educational needs are low-attaining in mathematics, which often has a severe impact on their progress at school and their successes in later life. This paper describes Catch Up Numeracy, a non-intensive targeted intervention for children who are low-attaining in mathematics, which is…