This article analyzes an episode of classroom mathematics activity mediated by graphing technology from 3 different theoretical perspectives. An important line of research in the learning sciences focuses on graphs as "inscriptions", foregrounding learners' interactions with and around the material properties of graphical displays.…

We illustrate a method, which is modeled on "breaching experiments," for studying tacit norms that govern classroom interaction around particular mathematical content. Specifically, this study explores norms that govern teachers' expectations for the doing of word problems in school algebra. Teacher study groups discussed representations of…

This article presents a way of studying the rationality that mathematics teachers utilize in managing the teaching of theorems in high-school geometry. More generally, the study illustrates how to elicit the rationality that guides teachers in handling the demands of teaching practice. In particular, it illustrates how problematic classroom…

The Teaching for Transformative Experiences in Science (TTES) model is designed to foster transformative experiences (e.g., experiences with science content involving the application of that content in ways that expand perception and value in everyday experience). This study presents a case study of a high school biology teacher learning to…

Drawing on sociological and philosophical studies of science, science educators have begun to view argumentation as a central scientific practice that students should learn. In this article, we extend recent work to understand the structure of students' arguments to include judgments about their quality through content analyses of high school…