Competence in early numeracy skills highly correlate with success in mathematics in later years; however, many students, including students with moderate and severe disabilities, lack a sound foundation in early numeracy skills. For this population, the gaps in skills widen as students progress through academic years, making it more difficult for…

The language of mathematics is unique and complex. One feature of the mathematical register is the use of symbols and abbreviations. Whilst it may be possible for a student to think mathematically in the absence of symbols, the written communication of mathematical ideas cannot be achieved concisely without the use of mathematical symbols.…

While research demonstrates the importance of numeracy-related activities performed at home for young children's mathematics achievement, few studies involve observational studies of the processes which support children's mathematical learning at home. On this premise, this study reports evidence from numeracy-related interactions between parents…

This study uses audio-recordings of naturally occurring classroom discussions to examine how adult numeracy students drew on their informal knowledge as they worked together to solve mathematical problems. Analysis of the recordings not only reveals the knowledge which the participating students contributed to their discussions, but also…

We tested children in Grades 1 to 5, as well as college students, on a number line estimation task and examined latencies and errors to explore the cognitive processes involved in estimation. The developmental trends in estimation were more consistent with the hypothesized shift from logarithmic to linear representation than with an account based…

Children's drawings are one of the most appropriate approach to knowing children, their individuality and also their perceptions. Child is not always able to express their thoughts precisely, because their vocabulary is still incomplete and is gained just lately. In our paper we concentrate on drawing as a communication means, with which we can…

This article provides a brief introduction to critical pedagogy and further discussion on critical mathematics education. Critical mathematics education enables students to read the world with mathematics. Three emerging domains of mathematics education related to critical mathematics education are discussed in this manuscript: ethnomathematics,…

The mission of German special schools is to enhance the education of students with Special Educational Needs in the area of Learning (SEN-L). However, recent studies indicate that students with SEN-L from special schools show difficulties in basic arithmetical operations, and the development of basic mathematical skills during secondary special…

Despite numerous studies, the link between verbal working memory (WM) and calculation abilities remains poorly understood. The present longitudinal study focuses specifically on the role of serial order retention capacities, based on recent findings suggesting a link between ordinal processing in verbal WM and numerical processing tasks. Children…

In researching how adult numeracy teachers actively motivate and enable learners to apply the numeracy skills they learn to their own real life practices, a case study of two adult numeracy teachers and their learner groups was undertaken. This paper compares the teachers' contrasting personal experiences of mathematics learning to consider how…

Number sense studies have indicated that the development of number sense should be the focus of primary school mathematics education. The literature review revealed that learner performance is linked to teacher subject knowledge and that teachers' confidence in doing and teaching mathematics influences the way they teach and their willingness to…

Despite compulsory mathematics throughout primary and junior secondary schooling, many schools across Australia continue in their struggle to achieve satisfactory numeracy levels. Numeracy is not a distinct subject in school curriculum, and in fact appears as a general capability in the Australian Curriculum, wherein all teachers across all…

In this article, I present an initial analysis of an empirical study that was undertaken in an attempt to elicit what subject-matter knowledge, pedagogic content knowledge and curriculum knowledge teachers bring to bear on decisions for teaching. The analysis is based on interview data with 46 Grade 3 teachers, who were presented with two…

In this article, adult learner experiences of embedded literacy and numeracy within vocational programmes in New Zealand are explored and described to identify what these learners felt had contributed to their success as learners. The embedded approach is a distinctive feature of the adult literacy and numeracy education infrastructure in New…

The purpose of the study reported here was to examine the effect of activity with an educational electronic book (e-book), with/without metacognitive guidance, on the emergent literacy (rhyming) and emergent math (essence of addition, ordinal numbers) of kindergartners at risk for learning disability (LD). Seventy-seven children…