Online learning, case discussions, and stochastics instruction have all become increasingly active strands of research in mathematics education. This study integrates the three strands. The nature of the discourse during an online case discussion among prospective secondary teachers is analysed. The case focused on the teaching and learning of a…

We report the development of an assessment instrument that provides a profile of the attainment and the errors of pre-service primary teachers across the mathematics curriculum. We describe test development, analyses and test validation involving a sample of 426 pre-service teachers in the first year of their training in primary education courses…

This paper explores the use of study groups in a preservice primary mathematics education subject where discipline knowledge (mathematics) is integrated with pedagogical knowledge (mathematics education). In order to address the well-recognized fear and competency levels of preservice teachers in the study of mathematics, study groups were…

This study investigated the changes in conceptions on mathematics teaching and learning of preservice BScEd teachers after 12 weeks of full time teaching practice. Written answers to open ended questions administered at the beginning and end of student teaching were triangulated with interviews. The preservice teachers exhibited more differences…

Several developments during the last decades have provoked spectacular changes in both Mathematics Teaching and the Education of Mathematics Teachers. From this perspective of renovation, we wish to define a new context in mathematics teacher education in which we consider that "pedagogical content knowledge" (Shulman, 1993, Mellado, 1998; Blanco…

Recent teacher professional development in California tends to focus on increasing teachers' mathematical knowledge. In Australia, pedagogically focused programs are preferred. The two approaches are contrasted by comparing a Californian professional development model based on improving mathematical knowledge in number and algebra with a New South…

This article describes a specific approach to a teacher investigation of students' written work. The aim of the investigation was for in-service middle school teachers to externalize their thinking about their students' mathematical thinking and to then reflect upon these externalizations and make refinements accordingly. This aim mirrors the…

Historically, teachers implemented mathematics reform recommendations by infusing new activities into the curriculum. However, mathematics instruction continues to be teacher centred, challenging professional developers to find new ways to encourage teachers' growth. This study used activity-reflective cycles (Tzur & Simon, 1999) to examine…

In a two-day workshop, 12 teachers who had not previously used graphics calculators not only learnt how to use a calculator but also completed calculator tasks designed to explore their misconceptions and then learnt about students' difficulties. Observation of lessons taught subsequently by 6 of the teachers, and interviews with 15 of their…

Many mathematics educators share a view of mathematics as a social and cultural phenomenon and believe that the learning of mathematics concepts is developed and enhanced through the use of learning communities. Electronic discussion boards provide one avenue for supporting such social learning. This paper discusses the use of a Question and…

Recent developments about cognitions underlying mathematical learning are beginning to suggest that the activation and appropriate use of prior knowledge by students is, to a large measure, controlled by the quality of organisation of that knowledge. Thus, teaching needs to support the construction of well-connected mathematical knowledge. An…

This article discusses three solutions to the "Tower of Hanoi" problem offered by students in a mathematics content course for prospective elementary school teachers. The course uses standards-based pedagogy and teaching via problem solving. Within this work, we consider the growth supported by collaboration at both the students' level and the…

This paper reports on a project that aimed to assist the induction of three women teachers into the practice of mathematics teaching. In their first year of teaching the three teachers were located in schools at great distances from the normal support structures for the teachers. Further, the schools consisted of student populations with wide…

Examines ways of establishing a learning environment that encourages and supports students' mathematical thinking. Describes a 15-year experienced teacher's personal journey over a two-year period and the changes the teacher experienced in beliefs about how students learn mathematics. Stresses the importance of reflection on student learning in…

Examines the classroom practice and beliefs of two novice elementary teachers during their first year of teaching and the first year of their involvement in a district-wide professional development project. Analyzes the challenges faced by the novice teachers and the professional developer who worked with them. Discusses the effects of teachers'…