Understanding what numbers are means knowing several things. It means knowing how counting relates to numbers (called "the cardinal principle" or "cardinality"); it means knowing that each number is generated by adding one to the previous number (called "the successor function' or "succession"), and it means…

Well-designed mathematics instruction focused on concepts and problem-solving skills associated with measurement and data analysis can build a foundational understanding for more advanced mathematics. This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics…

In 2010, the province of Ontario introduced a new universal two-year play-based full-day kindergarten program. The authors exploited the phasing-in of this program over five years, allowing a natural experiment in which children from full-day kindergarten could be compared with those from half-day kindergarten in matched neighborhoods. Children (N…

Teaching mathematics to children with autism is an area with limited research evidence. In this study we developed a teaching manual based on Maths Recovery, a numeracy programme designed for typically developing children. Six children with autism participated in the study and received daily numeracy teaching over a 20-week period. Our aims were…

This study assessed whether a sample of two hundred seven 3- to 7-year-olds could interpret multidigit numerals using simple identification and comparison tasks. Contrary to the view that young children do not understand place value, even 3-year-olds demonstrated some competence on these tasks. Ceiling was reached by first grade. When training was…

This unique Australian paper presents a study involving a Western Victorian District High School year nine mathematics class using social justice pedagogy to learn Mathematics. The class was comprised of gifted students, mainstream students and students who had diagnosed learning disabilities, all key foci in Australian Education research. The…

The ability to use numerical information in different contexts is a major goal of mathematics education. In health risk communication, outcomes of a medical condition are frequently expressed in probabilities. Difficulties to accurately represent probability information can result in unfavourable medical decisions. To support individuals with…

The purpose of this longitudinal study is to investigate whether an early childhood intervention using an explicit and transparent number naming system will have a lasting benefit to English and Spanish speaking children in their mathematics achievement related to number sense by accelerating their acquisition of concepts of numeracy and place…

Favourable home learning environments (HLEs) support children's literacy, numeracy and social development. In large-scale research, HLE is typically measured by self-report survey, but there is little consistency between studies and many different items and latent constructs are observed. Little is known about the stability of these items and…

Underperformance in math is a problem with increasing prevalence, complex etiology, and severe repercussions. This study examined the etiological heterogeneity of math performance in a sample of 264 pairs of 12-year-old twins assessed on measures of math achievement, numerosity, and math anxiety. Latent profile analysis indicated 5 groupings of…

Statistical literacy is a vital component of numeracy. Students need to learn to critically evaluate and interpret statistical information if they are to become informed citizens. This article examines a Year 5 unit of work that uses the data collection and analysis cycle within a sustainability context.

Scores from the "Australian National Assessment Program--Literacy and Numeracy" (NAPLAN) identify students "at risk" of not meeting minimum standards deemed necessary for future success in school and employment. The NAPLAN tests include items related to numeracy but also mathematics content and skills. Research in the area of…

Children with learning difficulties suffer from working memory (WM) deficits. Yet the specificity of deficits associated with different types of learning difficulties remains unclear. Further research can contribute to our understanding of the nature of WM and the relationship between it and learning difficulties. The current meta-analysis…

This brief article describes how Riverheights School teachers invited three to five-year-olds with a parent to attend seven sessions that incorporated multiple intelligences and Universal Design for Learning (UDL) strategies. Each session provided activities for language development, phonological awareness, and literacy and numeracy concepts. The…

Rwanda's vision for Early Childhood Development is presented in its national ECD Policy as well as its integrated ECD Strategic Plan of 2011. Since then, the ECD development is notable with curriculum reform and school infrastructure development. With the target to accelerate ECD enrolment by 2018 (1 preschool per village), it requires enormous…