Many researchers have stressed the embodied nature of mathematical understanding. Here we explore how embodied knowledge may evolve as students learn a basic calculus concept: the rate of change. We examined undergraduate students with different levels of calculus knowledge working in pairs to model the rate of change in an everyday phenomenon.…

This mixed methods study explored the pre and post use of metacognitive problem solving skills of 15 undergraduate students enrolled in a mathematics class in a Midwestern university. Participants' progress in their metacognitive self-talk and group-talk was monitored as they used Pulse® Smartpens to simultaneously capture their writing and spoken…

Learning analysts often consider whether learning processes across time are related (1) to one another or (2) to learning outcomes at higher levels. For example, are a group's temporal sequences of talk (e.g., correct evaluation [right arrow] correct, new idea) during its problem solving related to its group solution? I show how to address these…