This paper explores use of a set of diagrammatic tools for representation and analysis of the moves a teacher makes implementing a mathematical modelling task. The focus here is on identifying what the teacher did so we can subsequently interrogate this, as to the why. Data include pre and post lesson teacher interviews and transcripts of a video…

Fractions remains a difficult topic for primary preservice teachers (PST). This paper analyses a PST teaching episode using the "Refined Consensus Model" (RCM) of Pedagogical Content Knowledge (PCK) to explore challenges faced by PST in acquiring specialised knowledge for effective fractions teaching. Data include semi-structured…

Problems presented in mathematics classrooms often focus on routine tasks with students practicing mathematical techniques demonstrated by the teacher. However, this does not reflect the problem-solving process in the real world, and students often find it difficult to connect school mathematics with authentic contexts. This paper discusses…

The interactional role of language use in the mathematics classroom is explored in the last few decades. This paper adds to the knowledge base by exploring different ways of talking that children and their teacher use in a New Zealand primary geometry English-medium classroom. Bakhtin's concept of speech genres is used for an analysing transcript…

Our qualitative case study explored the nature of pre-service teacher (PST) reflections when analysing video-based lessons aimed at developing their reflective practice. 14 PSTs participated in the study. Data were collected through lesson observation and individual PSTs' written reflections. The initial data show that PSTs find lesson reflection…

When mathematics teachers plan lessons, they interact with curriculum materials in various ways. In this paper, we draw on Brown's (2009) "Design Capacity for Enactment" framework to explore the practice of "adapting" curriculum materials in the case of a Singapore secondary mathematics teacher. Problems from the textbook used…

This paper presents a case study of an experienced and competent mathematics teacher's classroom instructional practice in a Normal Technical Mathematics course. The topic that was observed was Volume and Surface Area of a Pyramid, a subtopic within the mensuration topic in Secondary Two syllabus. The teacher used a video clip on the Egyptian…

This paper reports how twenty six New South Wales public school teachers creatively integrate interactive whiteboards into their mathematics instruction to support students' learning through adopting a variety of digital resources in conjunction with the interactive whiteboard including online applications, educational software and presentation…

This paper reports a study conducted in a laboratory classroom with the capability to record classroom social interactions in great detail using advanced video technology. The social interactions of student groups during collaborative problem solving were analysed based on transcript data. This analysis suggests that meaning negotiation in…

In this paper, we present data from a study exploring the use of coding to promote mathematical thinking. A teaching experiment was undertaken with 40 Year 2 students participating in six 45-minute lessons of coding (one lesson per week for six weeks). All lessons were video-recorded and analysed to determine students' mathematical thinking.…

Flipped learning is gaining in popularity as a teaching approach in secondary mathematics classrooms. Traditionally seen as the domain of tertiary teaching, flipped learning has a number of affordances that address the challenging demands of teaching secondary mathematics. Enacting this approach requires a reconceptualization of traditional…

This paper contributes to the Symposium: "Research Methods Involving Children's Drawings in Mathematical Contexts" by exploring the use of digital pens as a data gathering tool. The availability of digital recording devices has been a boon to researchers wanting to capture the real-time dynamics of a research situation. When capturing a…

Growth mindsets are vital for effective lifelong learning. Students with growth mindsets are more willing to learn new things, take risks, and embrace challenges. Students with fixed mindsets have limiting beliefs about their abilities, and will attribute success in learning to factors beyond their control. Inquiry in mathematics classrooms may…

Having students address mathematical inquiry problems that are ill-structured and ambiguous offers potential for them to develop a focus on mathematical evidence and reasoning. However, students may not necessarily focus on these aspects when responding to such problems. Argument-Based Inquiry is one way to guide students in this direction. This…

Developing mathematical inquiry practices requires that teachers are explicit about classroom norms that support these practices. In this study, we asked: "How can a teacher scaffold the development of norms and practices in mathematical inquiry over time?" Analysis of classroom video over a year showed that the teacher constantly…