Collaboration is an underused teaching strategy despite its benefits and the call for curriculums worldwide to increase its use. To aid in discovering why the strategy is underused, more information was needed about the implementation of collaboration in the mathematics classroom. The purpose of this study was to investigate mathematics teachers'…

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…

While proving, and more broadly conceived "reasoning and sense-making," have received a great deal of attention in mathematics education research over the past three decades, recently scholars have argued for the importance of justification as a learning and teaching practice. As teachers work toward realizing goals for more equitable…

Students' perceptions of the classroom environment are critical determinants of their motivation and academic success. However, the psychological mechanisms through which these contextual factors influence academic outcomes remain insufficiently explored, particularly in different subject domains. Grounded in the Situated Expectancy-Value Theory,…

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…

Purpose: This study aims to depict the process of creating a culture of thinking in relation to developing thinking dispositions, focusing on conflicts between students and teachers at the beginning of the school year. Design/methodology/approach: This study conducted a year-long fieldwork in a secondary school in Tokyo, Japan, including…

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…

This research brief explores the relationship between how students responded to a survey about their math experiences and mindsets and how they performed on an end-of-year state standardized math assessment. For this study, NORC partnered with a racially diverse school district in the northeastern region of the United States. Educators in the…

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…

The historical, traditional mathematics classroom of students sitting in rows receiving information from the teacher and working individually was still prevalent in the 21st century. Many teachers had resorted to student-centered activities to engage passive students, but the minimal progress of math achievement of United States students denoted a…