Using artifacts of teachers' practices, classroom observations, and teacher interviews, we explore the development and enactment of 2 novices' pedagogical content knowledge (PCK) for teaching history. We identify and track 4 components of PCK that are relevant to teaching history: representing history, transforming history, attending to students'…

This article presents an instructional model (inclusively responsive instruction) that takes advantage of student diversity in order to differentiate student learning while maintaining high expectations. In the history of U.S. education, diversity and academic rigor were often considered at odds, and educators tried to emphasize one at the expense…

The design research methodology as it has currently developed centers on the creation of "existence proofs," an important first step. What is needed then are the next steps of expanding the methodology to address the design problems of practical implementation prior to the steps involved in scaling up these designs. This article contributes to…

Descriptions of faculty practice that illuminate nuances of how course planning and classroom instruction occur in specific contexts are important to inform pedagogical interventions. The study reported in this article draws on systems-of-practice theory to focus on the dynamic interplay among actors, artifacts, and tasks that constrains…

In this article I bring artistic production into the learning sciences conversation by using the production of representations as a bridging concept between art making and the new literacies. Through case studies with 4 youth media arts organizations across the United States I ask how organizations structure the process of producing…

A growing body of research has examined the experiential grounding of scientific thought and the role of experiential intuitive knowledge in science learning. Meanwhile, research in cognitive linguistics has identified many "conceptual metaphors" (CMs), metaphorical mappings between abstract concepts and experiential source domains, implicit in…

Learning progressions (LPs) are theoretical models of how learners develop expertise in a domain over extended periods of time. Recent policy reports have touted LPs as a promising approach to aligning standards, curriculum, and assessment. However, the scholarship on LPs is relatively sparse, and the jury is still out on the theoretical and…

We analyze the interaction of 3 students working on mathematics problems over several days in a virtual math team. Our analysis traces out how successful collaboration in a later session is contingent upon the work of prior sessions and shows how the development of representational practices is an important aspect of these participants' problem…

An embodied view of mathematical cognition should account not only for how we use our bodies to think and communicate mathematically but also how our bodies equip us to conceive of mathematical ideas. Research in cognitive semantics claims that the human conceptual capacity rests on a foundation of image schemas: topological patterns of spatial…

Gestures are often taken as evidence that the body is involved in thinking and speaking about the ideas expressed in those gestures. In this article, we present evidence drawn from teachers' and learners' gestures to make the case that mathematical knowledge is embodied. We argue that mathematical cognition is embodied in 2 key senses: It is based…

"The Journal of the Learning Sciences" has devoted this special issue to the study of embodied cognition (as it applies to mathematics), a topic that for several decades has gained attention in the cognitive sciences and in mathematics education, in particular. In this commentary, the author aims to address crucial questions in embodied…

For a long time, the body has had a bad rap among some big names in the Western philosophical tradition. Plato and Descartes come quickly to mind as particularly bad rappers. But it appears that the body is making a comeback in the cognitive and learning sciences. Long banished from the main stage by an idealized, inside-the-head…

In this article we contribute a perspective on mathematical embodied cognition consistent with a phenomenological understanding of perception and body motion. It is based on the analysis of 4 selected episodes in 1 session of an undergraduate mathematics class. The theme of this particular class session was the geometric interpretation of the…

We use a concept of framing to explain 3 cases in which participants initially lacked mutual understanding but then achieved significant mutual understanding. The cases were all consistent with a pattern of "positional framing" that includes a human participant who is inquiring, which we call a "listener", and a "source", which may be another…

Field trips to science museums can provide students with educational experiences, particularly when museum programs emphasize scientific inquiry skill building over content knowledge acquisition. We describe the creation and study of 2 programs designed to significantly enhance students' inquiry skills at any interactive science museum exhibit…