The new Queensland "Mathematics Years 1-10 Syllabus" differs from previous syllabuses in that it has an outcomes structure that describes how students think, reason, and work mathematically. The main challenge for secondary teachers implementing the new syllabus lies in taking a more investigative approach to "working…

Wondering whether they are really making a difference to young people's mathematics learning is a question that most teachers have probably wrestled with at some stage of their careers. However, evidence from a multitude of research studies shows that students' mathematics learning and their dispositions towards mathematics are indeed…

Presents an activity using the familiar fairy tale "Cinderella" to provide the context for stimulating mathematical thinking about a real life problem. Makes use of graphing calculator technology to investigate the relationship between shoe sizes and shoe lengths. (ASK)

The introduction of technology resources into mathematics classrooms promises to create opportunities for enhancing students' learning through active engagement with mathematical ideas; however, little consideration has been given to the potential for technology to promote a more collaborative approach to learning. This paper draws on data from a…

This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal…

This paper describes the actions of one secondary school mathematics teacher in establishing a community of mathematical practice within which students acquire not only knowledge and skills, but also the epistemological values of mathematics. Classroom observations over a period of 18 months, together with interview and questionnaire data, are…

Argues that research efforts need to be invested in preservice teacher education if genuine and lasting reform of mathematics teaching is to be achieved. Draws parallels between two separate studies, which applied sociocultural theories of learning to explore the nature of expert scaffolding in structuring learners' thinking. (Contains 30…

Presents a study that investigates ways to promote the development of reasoning and problem-solving skills in a secondary mathematics classroom and summarizes the key concepts from sociocultural theory. Examines three cases in which students appeared to resist interaction and communication with their peers. Contains 11 references. (ASK)

This paper addresses the evidence that secondary school students use to imply that they understand something in mathematics. As part of a larger study, an open-ended questionnaire probing several aspects of metacognitive self-knowledge, was administered to students (N=72) in four schools. Two previously identified types of understanding were…

Draws on data from a three-year longitudinal study of secondary school classrooms to examine pedagogical issues in using technology resources in mathematics teaching, graphing calculators and overhead projection panels in particular. Theorizes four roles for technology in relation to teaching and learning interactions. Illustrates how technology…

This paper addresses the question of how teachers learn from experience during their pre-service course and early years of teaching. It outlines a theoretical framework that may help us better understand how teachers' professional identities emerge in practice. The framework adapts Vygotsky's Zone of Proximal Development, and Valsiner's Zone of…

Reports on a 3-year study of patterns of student-student social interaction that mediated metacognitive activity in senior secondary school mathematics classrooms. Unsuccessful problem solving was characterized by students' poor metacognitive decisions exacerbated by lack of critical engagement with each other's thinking while successful outcomes…

This paper reports on a study that investigated the pedagogical practices and beliefs of pre-service and beginning teachers in integrating technology into the teaching of secondary school mathematics. A case study documents how one teacher's modes of working with technology changed over time and across different school contexts, and identifies…

This paper takes a 'networking of theories' approach to understand the complexity of the phenomenon of agency. We examine an episode, where a kindergarten teacher and nine children work on an addition problem, from three different perspectives: Valsiner's zone theory; Radford's theory of objectification; and Pickering's dance of agency. Our…

This paper addresses the question of whether peer collaboration affects students' performance of regression modelling tasks, an experimental study consisting of a test was conducted in a computing laboratory. Collaborating groups of students were randomly assigned to one of three experimental conditions: pre-task discussion (i.e., group members…