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…

This paper reports on the trial of video excerpts of mathematics teaching used in teaching pre-service primary teachers in a four-year undergraduate teacher education degree program. After viewing a video excerpt of teaching a basic mathematics concept, pre-service teachers were asked to identify the focus of the lesson and aspects of the…

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…

Although much is known about the features that contribute to the effectiveness of professional learning activities these are often not incorporated into the design of professional learning initiatives. This paper describes a mathematics professional learning process that was carefully designed to incorporate such principles, and illustrates its…