Teams of educators conducted lesson study independently, supported by a resource kit that included mathematical tasks, curriculum materials, lesson videos and plans, and research articles, as well as protocols to support lesson study. The mathematical resources focused on linear measurement interpretation of fractions. This report examines the…

This paper reports on an investigation into pre-service teachers' mathematical content knowledge and their ability to interpret students' responses to a multi-digit multiplication task and make subsequent appropriate teaching decisions. Using a combination of quantitative and qualitative methods, the researchers tested aspects of the…

Successful teacher preparation programs provide learning experiences that help teacher candidates make the shift from "student" to "teacher." In this paper we present research on the implementation of a process for providing candidates such experiences. Utilizing the Mathematics as Teacher Heuristic (MATH) process, prospective…

This paper presents data on the mathematical content knowledge and attitudes of pre-service primary teacher education students. The assessment consisted of nine tasks, including 2-digit computations and proportional reasoning. Students rated their liking for mathematics at three time points: primary, secondary, .and when assessed. Fewer than half…

The limited mathematical knowledge of preservice primary teachers is an international concern. The areas of mathematical difficulties have been well documented, which has led to many universities instituting testing regimes to ensure that preservice teachers have appropriate knowledge of primary school mathematics. In our study, the preservice…

This paper reports on the results of three different investigations into pre-service teachers' understanding of the mathematical concepts of area and perimeter. Different test instruments were used with three cohorts from two universities in order to identify pre-service teachers' understandings and common misconceptions. The results…

Establishing the mathematical content knowledge of pre-service teachers is a requirement in New Zealand. However, this knowledge is not clearly defined and is a challenge for initial teacher education providers to assess. We develop the concept of foundation content knowledge and suggest how it can be assessed using two forms of diagnostic…

This paper reports on the knowledge for teaching mathematics of 294 pre-service primary teachers from seven Australian universities participating in a project aimed at establishing a culture of evidence-based improvement of teacher education. The project was funded by the Australian Learning and Teaching Council. Rasch measurement techniques were…

Prospective mathematics teachers often start their practice with images of learning situations quite different from current curriculum orientations. Such is the case of Fabio, who, at the beginning of his practicum, proposed mostly exercises and promoted unidirectional communication. We analyse the contribution of a teacher education setting based…

There is considerable research on teachers' beliefs and teachers' knowledge, but little empirical evidence exists as to the interplay between them. This article reports a study of 356 Norwegian teachers who answered a questionnaire and a multiple-choice test. Based on this study, the connections between two knowledge constructs and two beliefs…

This article presents data from a group of secondary pre-service teachers who used vee diagrams to illustrate their conceptual and methodological analyses of a problem, as part of a required mathematics methods course assignment. The individually constructed vee diagrams were analysed in terms of the extent to which they displayed principles and…

This paper investigates the effects of a sustained professional development project in South Australia in which a small group of preschool educators worked with the authors to develop their own knowledge and skills in facilitating young children's mathematical learning. Through the development of an approach to pedagogy that linked the mandated…

This paper reports on the use of a profiling instrument to evaluate an in-service professional development program for teachers of middle school numeracy. Two aspects of the use of the profile are reported. One relates to the aims of the profile to reflect Lee Shulman?s seven types of teacher knowledge and to measure change in teachers with…

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 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…