The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional…

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…

Prosocial and Active Learning (PAL) Classrooms is a year-long teacher professional development program designed to increase students' prosocial behavior and engagement in 5th grade mathematics and science classrooms that use active, team-based lessons by altering the way that teachers interact with students using research-based strategies. The…

Mathematics teachers make a number of decisions that shape their lessons, which therein impact their students' opportunity to learn mathematics. Past research has often focused on teachers, students and the mathematical content as key classroom elements that drive teachers' decisions. In this article, we propose that a fourth element -- the…

It is essential for items in assessments of mathematics' teacher knowledge to evoke the desired response processes -- to be interpreted and responded to by teachers as intended by item developers. In this study, we sought to unpack evidence that middle school mathematics teachers were not consistently interacting as intended with constructed…

It is essential for items in assessments of mathematics' teacher knowledge to evoke the desired response processes -- to be interpreted and responded to by teachers as intended by item developers. In this study, we sought to unpack evidence that middle school mathematics teachers were not consistently interacting as intended with constructed…

In this paper, we propose a teaching approach centered on community and care, aimed at fostering a democratic classroom environment. We highlight the communal co-creation of the Rights of the Learner (RoTL) as the foundation for establishing a shared responsibility atmosphere. Our interpretation of the RoTL challenges traditional power dynamics,…

All students deserve access to a rich and meaningful math curriculum. This book guides middle and high school teachers toward providing all learners -- including neurodiverse students -- with the support necessary to engage in rewarding math content. Students who receive special education services often experience a limited curriculum through…

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…

This paper introduces the LIDO, or the Low-Inference Discourse Observation tool, that captures discourse moves produced by students and teachers in whole-classroom discussions. Coding methods are described, followed by analyses that explore validity of the LIDO through correlations among LIDO-coded discourse moves and between LIDO scores and…

The transition between arithmetic and algebraic thinking is challenging for students. One notable difficulty for students is understanding algebraic symbols--pronumerals. Researchers are exploring pedagogical approaches in seeking to address this issue. The current paper is contributing to this body of literature by illustrating how an online card…

This descriptive study attended to the extent to which we see evidence of the presence of four practices that promote equity and access in 141 grades 3-8 mathematics lessons in the United States. We found that lessons generally showed evidence of some incorporation of the practices but often not at the highest level. Teachers in this sample…

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…

How can middle school mathematics teachers navigate their roles as authorities in managing classroom democracies while providing their students with opportunities to exercise their rights? The concept of complementarity (Vithal, 1999) acknowledges that a teacher's authority is not always in conflict with students' rights or agency, but instead a…

Purpose: This paper aims to describe the findings of a study investigating the relationships between teacher attitudes to teaching mathematics, teacher self-efficacy, student achievement and teacher job satisfaction in Taiwan. Design/methodology/approach: Data were collected from 110 fifth grade primary school teachers and their students…