With the aim of strengthening mathematics teaching | learning, classroom video is increasingly used as a tool for teachers to reflect on their practice. In the first phase of a two-phase design-based study, a group of primary teachers selected, viewed and discussed video excerpts from mathematics lessons. Engaging with and working to reconcile…

There is emerging evidence that professional noticing is embodied. Yet, there is still a need to better under embodied noticing at a fundamental level, especially from the preservice teachers. This study used traditional and holographic video, along with eye-tracking technology, to examine how preservice teachers' physical act of looking interacts…

Teaching observation protocols serve purposes beyond research, such as providing formative feedback for teachers' growth in their practice. Such observation tool usage requires different approaches for validation. For this reason, we developed the formative teaching evaluation framework adapted from the student-assessment literature. We used this…

In the context of a professional learning research project we investigated the nature of support offered to classroom teachers and school mathematics leaders to facilitate teachers' implementation of sequences of challenging tasks. End of year questionnaire data were collected from 70 Foundation to Year 2 teachers and ten numeracy leaders who…

This study examined how mathematics coaches leverage written annotations to support professional discourse with teachers about important classroom events during synchronous debriefing conversations. Coaches and teachers created the annotations while asynchronously watching video of an implemented lesson as part of online video-assisted coaching…

Engagement can be described as students' tendency to work productively, think deeply, enjoy and value their learning, and to support each other in the process of learning (ZDM article). Each of these dimensions can be indexed by a variety of psychologically validated constructs such as interest and enjoyment, self-regulation, effort, emotional…

This brief research report examines the discursive shifts of a secondary mathematics teacher participating in a collaborative learning community centered on culturally responsive mathematics teaching. We draw on two frameworks to analyze the teacher's discursive moves. The first framework comes from Lefstein et al. (2020) on generative discourse…

Gaining insight into how one's noticing shapes decision making can enable a teacher to reflect on how they frame, interpret, and respond to classroom activity and disrupt the influence of dominant ideologies. Working in the context of teacher education, we conjectured that systematically analyzing and reflecting on their own noticing can enable…

The purpose of this report is to present our process and results for establishing validity and reliability of an observation tool used to investigate teaching practices that high school mathematics teachers use to engage students. We developed our tool using established practices, such as reviewing literature to develop a framework for instruction…

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…

Statistical terms are used in everyday language and, at times, used in non-statistical ways. It is often assumed students understand statistical terms because of their common use; however, research into their understanding of specific statistical terms is scant. This report focuses on 58 Year 3 students' responses to the basic question, "What…

The purpose of this study is to examine ways in which school principals conduct observations of the practice of teaching Turkish and math in lower secondary (middle school, ages 10-14) in Turkey. Using a multicase qualitative research method, this study focuses on 12 secondary school teachers and six principals as they engage in observational…

Recent reforms urge teachers to support students in pursuing their own mathematical strategies. Yet, to support a student in pursuing a strategy that they themselves devise, teachers must first notice details in the student's mathematical thinking, often in-the-midst of instruction. In this study, I examined four novice teachers' noticing of…

Mathematical reasoning features in curriculum documents around the world, but is understood and enacted poorly by teachers in classrooms. We explore teachers' noticing of reasoning during observed lessons. Two teams of primary teachers in Canada and Australia worked to plan, deliver, and observe lessons intended to include reasoning. They observed…

In this study, we investigate the relationship between teachers' noticing and the quality of their mathematics instruction. We analyzed the conversation of seven elementary teachers around five coaching cycles and scored their level of noticing and the mathematical quality of the instruction of the lesson. We compared teachers' noticing levels…