Responsive teaching occurs when teachers take up and "respond" to their students' ideas during instruction (J. L. Pierson, 2008). Although responsive teaching is gaining recognition as an effective strategy for encouraging student learning, few methods of analysis are capable of characterizing the different ways in which teachers take up…

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…

For this article, the development of 1 teacher's pedagogical content knowledge (Shulman, 1986) was tracked longitudinally across 2 years as she taught a new instructional unit in middle school mathematics. Growth in pedagogical content knowledge is characterized as the interanimation of 2 Discourses (Gee, 1999). One Discourse refers to…

The multidisciplinary study of complex systems in the physical and social sciences over the past quarter of a century has led to the articulation of important new conceptual perspectives and methodologies that are of value both to researchers in these fields as well as to professionals, policymakers, and citizens who must deal with challenging…

Prior research on small-group collaboration identifies several behaviors that significantly predict student learning, such as exchanging explanations and applying help received. Previous reports focus on student behavior to understand why many students do not engage in behaviors predictive of learning, leaving unexplored how teachers may influence…

Research on personal epistemologies (Hofer & Pintrich, 2002) has mostly conceptualized them as stable beliefs or stages of development. On these views, researchers characterize individual students' epistemologies with single, coherent descriptions. Evidence of variability in student epistemologies, however, suggests the need for more complex…

In response to existing educational systems producing individuals who fail to have sound working knowledge bases, this article examines uses of technology to improve instructional methods. Reviews results of a case study that use problem-based learning as a collaborative learning method for medical undergraduates, and presents six principles of…

Describes five significant challenges to implementing inquiry-based learning. Presents strategies for addressing them through the design of technology and curriculum. (Author/CCM)

Argues that role-playing activities can be a powerful tool in mathematics and science education, particularly in the new sciences of complexity (i.e., the study of complex systems). Two role-playing activities are described, each designed to help students develop better intuitions on how complex phenomena can arise from simple interactions, and…

In this article, I examine distributed scaffolding, an emerging approach in the design of supports for rich learning environments intended to help students develop disciplinary ways of knowing, doing, and communicating. Distributed scaffolding incorporates multiple forms of support that are provided through different means to address the complex…

The notion of scaffolding learners to help them succeed in solving problems otherwise too difficult for them is an important idea that has extended into the design of scaffolded software tools for learners. However, although there is a growing body of work on scaffolded tools, scaffold design, and the impact of scaffolding, the field has not yet…

This article tells the story of the design of Learning by Design(tm) (LBD), a project-based inquiry approach to science learning with roots in case-based reasoning and problem-based learning, pointing out the theoretical contributions of both, classroom issues that arose upon piloting a first attempt, ways we addressed those challenges, lessons…