Studies have reported that pre-service teachers often enter teacher preparation programs with beliefs and attitudes not conducive to teaching the subject conceptually. In the USA, the Common Core State Standards for Mathematics have brought a renewed focus on procedural and conceptual understanding. However, many U.S. pre-service teachers have…

Over the past two decades, mathematics education reformers have increasingly called for new approaches to assessment. This call urges mathematics teachers to merge their assessment with pedagogy, to employ assessments that engage students in the process of "doing mathematics," and to exploit assessment to support learning. This paper…

Concerns about the negative mathematical beliefs of prospective primary teachers have arisen from evidence that such beliefs detrimentally impact future teaching practices. The aim of this study was to explore factors contributing to the effectiveness of a mathematics content-focused intervention designed to nurture positive mathematical beliefs.…

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 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…

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…

This study documents and describes efforts to develop robust forms of pre-service teachers' pedagogical content knowledge through a culturally responsive mathematics teaching approach. Embedded in a university K-8 mathematics methods course emphasising the connections among mathematics, children's mathematical thinking, and…

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…

Definitions play an essential role in mathematics. As such, mathematics teachers and students need to flexibly and productively interact with mathematical definitions in the classroom. However, there has been little research about mathematics teachers' understanding of definitions. At an even more basic level, there is little clarity about what…

In this article, pre-service teachers' mathematics content knowledge is explored through the analysis of two items about ratio from a Mathematical Competency, Skills and Knowledge Test. Pre-service teachers' thinking strategies, common errors and misconceptions in their responses are presented and discussed. Of particular interest was the range…

This study examines the communication between pre-service teachers and sixth grade students in a project in which email was used for communication as students learned about fractions and were supported by the pre-service teachers. Specifically, the study investigated how the pre-service teachers applied their mathematical knowledge to understand…