Mathematics

This article elaborates a theoretical, methodological, and analytical approach intended to highlight the materiality and reciprocity of noticing in mathematics classrooms. Drawing from highly resonant concepts from materialism and Indigenous Knowledges—two perspectives that researchers rarely bring into dialogue—this alternative approach explores the reciprocal, material, and more-than-human nature of noticing. By focusing on the role of movement in noticing, the approach discusses the indivisibility of sensing and making sense as students and teachers mobilize mathematical concepts.

In this article, we report on the development of a novel, video-based measure of teachers’ moment-to-moment noticing as knowledge-filtered perception. We developed items to capture teachers’ perception of similarity of their own teaching to the teaching shown in three short video clips of authentic classroom instruction. We describe the item design and relate teachers’ moment-to-moment noticing to their reflective noticing as measured by judgements of similarity teachers provided after viewing each video.

The development of inclusive STEM high schools that have no academic admission requirements has been a national goal in the United States. However, there is no umbrella organization that gives guidance for structuring such schools. The purpose of this study was to develop and validate a self‐assessment using critical components of successful inclusive STEM high schools for school personnel and educational researchers who wish to better understand their STEM programs and identify areas of strength. A multi‐phase methodology was employed.

Numerous studies have reported positive outcomes of noticing interventions on the development of prospective mathematics teachers’ (PMTs) noticing of a range of important aspects of classroom instruction. Less is known, however, about whether noticing skills that are developed during an intervention transfer to support PMTs’ in-the-moment noticing during their own teaching practice.

Online collaborative and content-focused professional development (PD) is becoming an increasingly important setting for supporting mathematics teachers’ professional learning. The purpose of this study was to better understand the process by which a community emerges in such a PD setting by examining how the cohesiveness of 21 mathematics teachers’ social network evolves and associated shifts in the quality of mathematics teachers’ mathematical discourse.

Teachers’ knowledge of proportional reasoning is important, particularly in the middle grades in the USA. This exploratory study investigated 32 teachers’ use of knowledge resources in two mathematically similar tasks (one a paper and pencil task, the other a dynamic task) around proportional reasoning. The two tasks invoked different knowledge resources by the same teachers. Results suggest questions to the field around how we access or invoke teacher knowledge and the need to more purposefully explore the potential benefits of using a dynamic task to invoke knowledge resources.

The purpose of this study was to investigate how teachers understand one specific aspect of proportional reasoning. We were interested in understanding the extent to which practicing teachers were able to make sense of reasoning that involved the fixed number of variable-sized parts perspective. We used two items, drawn from a larger dataset, that encouraged teachers to reason about proportional situations using a variable parts perspective.