Examining critical incidents in the mathematics classroom is a useful way for pre-service teachers to understand the experience of teaching. This paper examines the development and trialling of variations of a novel affect-based critical moment protocol that enables preservice mathematics teachers to reflect on their teaching performance. The…

This paper examines the use of two theoretical models to analyse the complex process of changing teaching practice. The models were considered complementary in forming a theoretical framework. Analysis of one teacher's change, from the second cycle of a designbased research project for an onsite collaborative professional learning program,…

Secondary mathematics teaching is often characterised by teacher-led pedagogies centred on practice and memorising formula which can dominate incoming pre-service teachers' perceptions of mathematics teaching. Hence, creating opportunities for pre-service teachers (PSTs) - particularly those who have not experienced student-centered pedagogies --…

Digital video technology has been increasingly employed to investigate teacher professional noticing. While extensive research has been undertaken to explore the specialised knowledge base underlying teacher professional noticing, there is a need to more closely examine the methodological consequences of video-based approaches for understanding…

This report is based on an activity completed by 89 Grade 6 students carrying out a statistical investigation with a focus on posing an initial question given a context and then refining it for a chosen data set. Having reached a conclusion based on evidence from their data analysis, students were given additional information on the context and…

Reflective practice in mathematical teaching improves teaching skills and confidence. This paper investigates affect-based critical moments as a reflective practice for pre-service teaching. An embedded case study is presented by one regional university as a discovery into the "reflective" phase of the Enhancement-Learning-Reflection…

Previous research into the knowledge required for teaching has focused primarily on pre-service and in-service teachers' knowledge. What is less researched, however, is the role of the teacher educator in helping pre-service teachers (PSTs) develop the knowledge needed in order to teach mathematics to students. The focus thus shifts from examining…

A central premise of this project is that teachers learn from the act of teaching a lesson and that this learning is evident in the planning and teaching of a subsequent lesson. In this project, the knowledge construction of mathematics teachers was examined utilising multi-camera research techniques during lesson planning, classroom interactions…

Motivated and well-trained science and mathematics teachers are a requirement for sustaining an industrialised economy. The Australian government has funded several projects to satisfy this requirement designed to improve pre-service teacher (PST) education in regional and rural Australia. One such project uses a collaboration nexus model with…

This paper discusses what being involved in a mathematical inquiry project looks like from two classroom teachers' perspectives, gained throughout six years spent in a longitudinal study. Collaboration amongst all stakeholders has resulted in a deeper understanding of the thinking and reasoning required in the inquiry process and has led to…

"Specific Mathematics Assessment that Reveal Thinking" (abbreviated as "smart tests") provide an on-line formative assessment of middle years students. They aim to put information from research on students' understanding directly into the hands of teachers, by providing quick automated diagnosis of learning for all students in…

In small-group workshops, a joint initiative of the researcher and the student counsellor, primary (elementary) pre-service teachers (PSTs) wrote about critical incidents in their mathematics learning, and shared them with the group. Then, PSTs read extracts about mathematics anxiety (maths anxiety), and wrote and shared their reflections…

Peer group learning is the name we have given to a particular type of collaborative learning that has been implemented as part of an action research project designed to improve teaching and learning of first year university mathematics at James Cook University. Using an innovation-decision process model we analysed the response of academics to the…

This study involves an Australian Western Victorian District High School year nine mixed ability mathematics class learning mathematics using social justice pedagogy. The learning intent of the unit required students to compare their own lifestyles against different families from around the world and use mathematics as a tool to investigate…

As part of one of the undergraduate Bachelor of Education units offered as a specialisation unit in primary mathematics education at The University of Notre Dame Australia, the pre-service teachers were asked to complete an assignment. In this assignment they were given 12 typical algebra text book problems which they were asked to solve and then…