Background: Pedagogical sensemaking, in which teachers attempt to figure something out in relation to teaching and learning, as a form of generative teacher discourse can provide opportunities for teachers to learn. However, much of the research in these areas examines how teachers reason during sustained collegial discourse outside the classroom.…

Background Improving scientific reasoning and argumentation are central aims of science education. Because of their complex nature, self-regulation is important for successful scientific reasoning. This study provides a first attempt to investigate how scientific reasoning and self-regulation processes conjointly impact argumentation quality.…

Background: We investigate the nature of planning the canoeing of rapids and its reasoning processes, while at the same time advancing a syncretic approach to cognitive and situative theories of learning. Building upon the work of Lucy Suchman, we examine how canoers plan to run rapids and how plans serve as resources for action. Methods: In…

Studies of embodied cognition offer powerful accounts of the semiotic resources people use as they think together within different domains. Yet this research does not typically foreground the history of relationships within focal interactions--a history we have found to be consequential to the ways embodied actions unfold. Through ethnographic and…

Spatial thinking is important for success in engineering. However, little is known about "how" students learn and apply spatial skills, particularly in kindergarten to Grade 12 engineering learning. The present study investigated the role of spatial thinking in engineering learning at a middle school summer camp. Participants were 26…

The "everyware" paradigm opens up new possibilities for learning on-the-move with technologies through urban spaces while also raising questions about emerging literacies required of users to understand and use the digital traces these technologies generate. This article develops locative literacies as a way of understanding place-based,…

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…

"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…

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,…

Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…

As transfer researchers have begun to investigate a broader range of phenomena, they have correspondingly put forward new processes to provide explanatory accounts for the occurrence of transfer. This move coincides with a call to acknowledge the contribution of social interactions, language, cultural artifacts, and normed practices to the…

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…

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…

A total of 136 eighth-grade math students from 2 Singapore schools learned from either productive failure (PF) or vicarious failure (VF). PF students "generated" solutions to a complex problem targeting the concept of variance that they had not learned yet before receiving instruction on the targeted concept. VF students…

Some intensive quantities, such as slope, velocity, or likelihood, are perceptually privileged in the sense that they are experienced as holistic, irreducible sensations. However, the formal expression of these quantities uses "a/b" analytic metrics; for example, the slope of a line is the quotient of its rise and run. Thus, whereas students'…