This paper reports the results of two interventions involving the integrated study of mathematics and technology practice to girls in Years 6 and 7. The focus of the study was to look at factors that contributed to girls' disengagement with mathematics study and seek pedagogical solutions for this. The key mathematics concepts embedded in the two…

The purpose of this study was to explore how parents and their young children attended to mathematical concepts as they engaged in shared book reading. Thirty-nine parents and their 4-year-old children from a culturally diverse metropolitan area were videotaped as they read "Mr. McMouse" (Lionni, 1992) and "Swimmy" (Lionni, 1963). Shared reading…

In this article we explore young children's development of mathematical knowledge and reasoning processes as they worked two modelling problems (the "Butter Beans Problem" and the "Airplane Problem"). The problems involve authentic situations that need to be interpreted and described in mathematical ways. Both problems include tables of data,…

Mathematics teacher education programs are designed with an intention, explicit or implicit, to produce graduates who are competent in both pedagogic knowledge and discipline knowledge. This paper explores students' experiences in coming to learn mathematics and mathematics education. Using an example from a quiz question, supplemented with…

This phenomenological study examined kindergarten children's development of spatial representation in a year long mapping project. Findings and discussion relative to how children conceptualised and represented physical space are presented in light of theoretical notions advanced by Piaget, van Hiele, and cognitive science researchers Battista and…

Schematic models have been used extensively in educational research to represent relationships between variables diagrammatically, including the interrelationships between factors associated with teachers' beliefs and practices. A review of such models informed the development of a new model that was used to plan an investigation into primary…

The findings of a study that examined the connection between the beliefs of secondary mathematics teachers and their classroom practices are reported in this article. Classroom practice was defined in terms of the extent to which classroom environments could be characterised as constructivist. Cluster analysis was used to group teachers according…

In this article, two problems associated with the expectation that teachers use contemporary assessment techniques are examined. The first problem relates to teachers' sense-making of assessment data. Illustrative cases revealed that teachers' processes of interpretation of students' understanding, knowledge and learning of mathematics draws on a…

Recognition of the importance of the early childhood years in the development of numeracy is a significant characteristic of the New Zealand Numeracy Development Project, the Victorian Early Numeracy Research Project and the Count Me In Too program in New South Wales, Australia. This article outlines the background, key components and major…

This research is a case study examining numeracy teaching and learning practices in an early childhood multiage setting with Pre-Primary to Year 2 children. Data were collected via running records, researcher reflection notes, and video and audio recordings. Video and audio transcripts were analysed using a mathematical discourse and social…

The assessment of children in their years before school and their first years of school has been, traditionally, informal. Further, assessment of children's mathematical skills at this level has been infrequent compared to social, emotional and physical assessments. However, there are contexts where reliable, valid, standardised data from…

Although sampling has been mentioned as part of the chance and data component of the mathematics curriculum since about 1990, little research attention has been aimed specifically at school students' understanding of this descriptive area. This study considers the initial understanding of bias in sampling by 639 students in grades 3, 5, 7, and 9.…

This article examines students' ability to use the balance model to solve for unknowns. A teaching experiment was conducted in four Year 3 classrooms. This experiment focused on exploring the application of the balance model as an analogue for representing equations and solving for unknowns. The teaching experiment promoted a shift by students…

The primary purposes of the study reported here were to investigate Greek mathematics teachers' beliefs regarding the nature of mathematics and mathematics teaching and learning, and to explore the various links between these beliefs and instructional practice. Two orientations that are characteristic of secondary mathematics teachers' beliefs…

The main aim of this article is to discuss the attitudes to mathematics of students taking a basic mathematics course at a Swedish university, and to explore possible links between how well such students manage to solve tasks about limits of functions and their attitudes. Two groups, each of about a hundred students, were investigated using…