Prior research has highlighted that for teachers to develop robust practices, they need to develop rich professional vision (PV)--the ability to see nuanced issues of teaching and learning in situ, interpret them, and respond. In the context of problem-based learning (PBL), PV involves guiding student-centered learning and understanding when to…

Given growing interest in K-12 data and data science education, new approaches are needed to help students develop robust understandings of and familiarity with data. The model of the "quantified self"--in which data about one's own activities are collected and made into objects of study--provides inspiration for one such approach. By…

Video is used extensively in teacher preparation, raising questions about what and how preservice teachers learn through video observation and analysis. We investigate the development of candidates' noticing of ambitious mathematics pedagogy in the context of a video-based course designed to cultivate ways of seeing and interpreting classroom…

Learning in data-rich environments has been a focus of learning sciences research since the inception of the field, with increasing interest in the ways learners "narrate data." This article examines the narration of data from the perspective of "learning on the move," identifying mobilities of data, and of the narratives in…

This study critically examines how the geopolitical configuration of identities, through the medium of the institutionalized label of "English language learners," can shape and constrain localized experiences for learners. An ethnographic video study was conducted in the context of a mathematics unit ("the transforming recess…

This study investigated different math-talk facilitations, and conceptualized the teachers' talk moves for productive student mathematics discussions. Our findings suggest that students' strategy development is supported by talk moves coordinating a wide range of student strategies, representations and discussions that are at a process-level and…

This study interrogates the contributions of multi-party, whole-body interactions to students' collaboration and negotiation of mathematics ideas in a task setting called walking scale geometry, where bodies in interaction became complex resources for students' emerging goals in problem solving. Whole bodies took up overlapping roles representing…

This case study focuses on a Native American family's experience on a walk in an urban forest preserve. Drawing on interaction analysis traditions, we analyze video data and transcript data to characterize how learning unfolds in place, in this case an urban forest. We build on this analysis, as well as the work of Indigenous scholars, to…

This article compares students' critiques within a class discussion about an invented statistic to STEM professionals' critiques from interviews to better understand how the situated meanings of a statistic are similar and different across student and professional worlds. We discuss similarities and differences in how participants constructed…

This research investigated how teachers express links between ideas in speech, gestures, and other modalities in middle school mathematics instruction. We videotaped 18 lessons (3 from each of 6 teachers), and within each, we identified "linking episodes"--segments of discourse in which the teacher connected mathematical ideas. For each…

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…

This article addresses how we can develop learning environments that establish a need for scientific practices and provide a context for developing content knowledge through practice. It argues that Pickering's (1995) notion of "The Mangle of Practice" informs these efforts by focusing our attention on how resistance, or push-back from…

While many studies have considered the association between teachers' and students' conceptions of teaching and learning and classroom practices, few studies have researched the influence of teachers' conceptions on students' conceptions. Our objective was to analyze the influence of music teachers' conceptions on student…

External number representations are commonly used throughout the first years of instruction. The twenty-frame is a grid that contains two rows of 10 dots each, and within each row, dots are organized in two groups of five. The assumption is that children can make use of these structures for enumerating the dots, rather than relying on one-by-one…

Deictic linking gestures, hand and arm motions that physically embody links being communicated between two or more objects in the shared communicative environment, are explored in a cross-cultural sample of mathematics instruction. Linking gestures are specifically examined here when they occur in the context of communicative analogies designed to…