As part of a longitudinal study focused on mathematical play, we (Melissa, Amy, and Anita) are often faced with questions about what counts as play and what mathematics (and other learning) we see in play, and whose play is most likely to be seen or dismissed. Rather than discuss our findings from classroom videos of kindergarten children engaged…

In conversations about pedagogy, researchers often overlook how physical space and movement shape teacher sensemaking. This article offers a comparative case study of classroom videos using a dynamic visual method to map embodied interaction called "interaction geography." Our analysis proposes an integrative framework to study classroom…

Methods to transcribe and represent classroom video data are central to studying teaching and learning in classrooms. However, current methods focus on encoding and representing data over time, not space. In this paper, we demonstrate the value of a new methodological approach called interaction geography to transcribe and interactively visualize…

Mathematics content courses for prospective elementary teachers (PTs) should provide them with opportunities to deepen their understanding of and develop productive dispositions toward mathematics. Supporting mathematics teacher educators (MTEs) to learn how to develop practices that create rich learning opportunities for novice teachers comprises…

Background: Within the ambit of the Fourth Industrial Revolution (4IR), the use of technology-based tools within teaching and learning is advancing rapidly at education institutions globally, including the teaching and learning of mathematics. Learners and teachers have challenges with teaching and learning fractions in mathematics. A learner's…

We adopt five observation categories, namely classroom management, classroom environment, communication, mathematical content and tasks, to analyse four in-service secondary mathematics teachers' noticing upon watching video episodes showing an actual mathematics lesson that implemented 3D Printing Pens for teaching and learning shape and space.…

By taking both pupils' and teachers' actions as the point of departure, this study aimed to understand governance within a primary school classroom. Video footage was recorded in an English primary school in which mathematics happened to be the focus. This data was analysed to identify the directions of both governance and self-governance and to…

Background: Prior research has shown that engagement plays a significant role in students' academic learning. Aims: The present study sought to expand the current understanding of students' engagement by examining how situational engagement during a particular lesson is associated with the observed teacher-student classroom interactions (i.e.,…

Teaching middle school mathematics, I have found that classroom dynamics have a profound impact on the quality of mathematical discussion. Wanting to improve classroom discussion in order to better facilitate both small-group and student-driven learning, I started the school year by randomly grouping students every week for their small groups. I…

This article reports on an exploratory project in which technology and dynamic social network analysis (SNA) are used for modelling classroom interaction. SNA focuses on the links between social actors, draws on graphic imagery to reveal and display the patterning of those links, and develops mathematical and computational models to describe and…

The purpose of this study was to understand the relationship between teacher discourse around social norms, student mathematical roles, and student mathematical explanations in the classroom. Mathematical explanations are important for learning mathematics and professional organizations encourage their use in the classroom. This study sought to…

This paper explores the construction of classroom contexts facilitative of student engagement in Mathematics. Employing a form of discourse analysis framed within a participation approach to learning, the paper provides insights into the construction of such contexts. The affordances and constraints of constructing such a context are discussed in…

New systems that seek to evaluate teachers with regard to their classroom quality often rely on observation instruments that capture general instructional pedagogies. However, decades of research suggest that content-specific dimensions of instruction also are important to differentiate teachers and improve student outcomes. We explore the degree…

What teachers attend to, how they make sense of, and respond to critical incidents in the classroom are important for improving teaching. However, seeing and understanding important features of critical incidents can be difficult. In this paper, I propose a notion of productive noticing, which I used to analyse a case study of what teachers…

The purpose of this study was to understand what preservice teachers and knowledgeable others professionally notice as they engaged in repeated cycles of a modified version of lesson study, as a component of a field experience in a teacher education program. The study also centered on comparing the professional noticing practices of preservice…