The notion of pedagogical content knowledge (PCK) was posited in the context of school teaching and the knowledge used by teachers teaching school students. It has been examined for a number of discipline areas, notably mathematics. There are, however, other teaching contexts, including those of teacher educators, whose students are pre-service…

The knowledge that mathematics teacher educators need has attracted limited but increasing attention in recent years. The papers in this special issue build on emerging themes from that work and raise additional questions that contribute towards a future research agenda in the field. Several of the articles develop conceptualisations of teacher…

Rowland's Knowledge Quartet (KQ) model can provide illuminating insights into teacher practice in mathematics classrooms. This paper explores a framework developed for pedagogical technology knowledge (TPACK) to consider teacher practice in integrated technology classrooms alongside the KQ model. Observations of a Year 11 class in an Australian…

This paper describes a collaborative project involving mathematicians, scientists and educators at an Australian university where an innovative initial teacher education (ITE) degree in mathematics/science was developed. The theoretical frameworks of identity theory and academic brokerage and their use in understanding the challenges associated…

Teachers are increasingly being called upon to teach in ways that develop 21st century learning skills in their students. Various frameworks for 21st century learning have been proposed and while they differ, all agree on four components for development--creativity, collaboration, communication and critical thinking. Both individually and…

In Ethiopia, primary school teachers of science and mathematics are encouraged to integrate Information and Communication Technology (ICT) into their teaching as a means to improve the quality of education. However, there has not been the same emphasis placed on providing professional learning opportunities for teachers on how to use ICT in their…

This article presents a case study of one particular lesson in which a teacher uses the features of an interactive whiteboard (IWB) to teach mental computation strategies to a Grade 1 class. The framework of Technological Pedagogical Content Knowledge (TPACK) is used to evaluate the teacher's use of the IWB to teach mathematical concepts to young…

An innovative initial teacher education undergraduate degree has been offered for the first time in 2016 at an Australian University. The degree provides for qualification as a secondary science and mathematics teacher through the completion of a four-year-integrated science, mathematics and education program of study where the synergies available…

In this paper, the authors describe the initial stage of developing a framework designed to support out-of-field, less experiences or isolated mathematics and science teachers to make decisions about the use of resources in their teaching. The process highlighted the complexity and extent of the knowledge on which expert teachers draw in making…

This study describes the construction of a questionnaire instrument to measure mathematics teacher educators' knowledge for technology integrated mathematics teaching. The study was founded on a reconceptualisation of the generic Technological Pedagogical Content Knowledge framework in the specific context of mathematics teaching. Steps in the…

Although there has been considerable interest in teachers' knowledge for teaching mathematics for nearly a quarter of a century, little attention has been paid to the knowledge of mathematics teacher educators. The responses of 57 MERGA members to an online survey addressing beliefs about mathematics and its teaching, mathematics content knowledge…

This paper presents a framework for examining the Pedagogical Content Knowledge (PCK) required of mathematics teacher "educators" as they endeavour to build the PCK for teaching mathematics that is required of the pre-service teachers with whom they work. The framework builds on existing research into PCK, and provides a series of…

This paper reports on initial data from teachers at an Australian Year 9-12 secondary school which is attempting to implement a project-based learning model across the entire curriculum. The eight teachers had diverse prior teaching experiences, including work in primary schools, special education, Year 7-10 secondary schools, and technical and…

This paper reports on the evaluation of a six-day programme that provided professional learning to middle school teachers with the aim of equipping them to assist their pupils to achieve improved numeracy outcomes. A teacher profiling instrument designed to measure varied aspects of teachers' knowledge for teaching mathematics was administered to…

This paper reports on the development and use of a classroom observation reflection tool designed to measure the extent to which pedagogies acknowledged in the literature as contributing to effective teaching of mathematics for numeracy are present in classrooms. The observation schedule was used in conjunction with a record of classroom activity…