This paper reports on a third study in a series aimed at investigating the issues surrounding the learning of mathematics at The University of Auckland by students who have English as an Additional Language (EAL students). As well as summarizing the earlier studies, it presents some new data showing that the problems experienced by EAL students…

The effects of praise on student on-task behaviour, academic self-concept and numeracy enjoyment were investigated. Four year four classes and their teachers participated. Two teachers were instructed to use specific praise and two to use positive praise. Classes were independently observed on four occasions, twice before and twice after the…

The new English mathematics curriculum for three to five year olds requires adults to teach number. How this should be done is not clear: this article looks at current theory and research in order to recommend some teaching strategies. A new mathematics pedagogy is proposed, based on holistic principles and considering children's mathematical…

For over 30 years this author has been involved in the teaching and learning of mathematics and numeracy in Australian schools, teaching in high schools (Years 8-12) for more than 20 years at different school settings ranging from rural and remote to inner city, high socio-economic status schools to schools of students mostly from poorer, lower…

This study examines basic number processing (subitizing, automaticity, and magnitude representation) as the possible underpinning of mathematical difficulties often evidenced in deaf adults. Hearing and deaf participants completed tasks to assess the automaticity with which magnitude information was activated and retrieved from long-term memory…

This article draws on 3 ethnographic and participant observation studies of African American parents and adults from 3 northern California communities. Although studies have shown that African American parents hold the same folk theories about mathematics as other parents, stressing it as an important school subject, few studies have sought to…

The purpose of this critical analysis was to investigate the young children's sense of numerical magnitudes and the important attributes of classrooms where children in kindergarten and first grade are exposed to mathematics. This study aimed to offer guidelines that will assist teachers as they teach mathematics to children between the ages of…

This article draws upon a Department for Education and Skills (DfES) commissioned telephone survey of a nationally representative sample of schools to investigate the challenges faced by those seeking the successful implementation of the Foundation Stage (FS) (for 3--5-year-olds) in reception classes. Its focuses on head teachers' and reception…

The author shares her personal view about when it is useful for children to record their work in science, what helps their learning, and what switches them off, describing some fairly common scenarios. In her role as an Ofsted inspector, the author is privileged to observe, talk to, and learn from dedicated, inspirational, and gifted teachers who…

Although increasingly seen as critically important for pedagogy, young children's perceptions of number and of learning about number have not received much attention from researchers. This study uses a phenomenographic approach in that it seeks to map the range of possible conceptions about number and numerically-related learning amongst a group…

Mathematics lecturers have long expressed concern about their students poor mathematical background and the effect this has on performance in first mathematics courses at university level. This article explores a similar concern about students' numeracy in a statistics course for psychologists.

This paper reflects on the use of didactic material in mathematics classes. It focuses on the mathematical activities of students and the didactical activities of teachers. Its point of departure is a critique of technical-managerial approaches to teaching, learning, and innovation. Based on this critique, fundamental tensions between the…

Development in the ability of 11-year-olds to solve numerical problems of addition, multiplication, and proportion was analysed by means of three Rasch models of change. The students, who had participated in a New Zealand numeracy project in 2002, comprised two groups that differed in socio-economic status: 1,274 students came from low…

Discussions of quantitative literacy have become increasingly important, and statistics educators are well aware of the link between statistics education and quantitative literacy. Both the statistics education and quantitative literacy movements have emphasized the importance of students practicing skills in multiple contexts--a goal also…

In a 1999 paper Gersten and Chard proposed that number sense might be to mathematics what phonemic awareness is to reading. They explained the role of phonemic awareness in reading acquisition and its influence on reading research and argued that an understanding of the concept of number sense could be equally influential in the field of…