In this article, we advance an approach to design research that is organized around a commitment to transforming the educational and social circumstances of members of non-dominant communities as a means of promoting social equity and learning. We refer to this approach as social design experimentation. The goals of social design experiments…

In this article, we describe the design principles undergirding "productive failure" (PF; M. Kapur, 2008). We then report findings from an ongoing program of research on PF in mathematical problem solving in 3 Singapore public schools with significantly different mathematical ability profiles, ranging from average to lower ability. In…

This article presents a cohesive, empirically grounded categorization system differentiating the types of generalizations students constructed when reasoning mathematically. The generalization taxonomy developed out of an empirical study conducted during a 3-week teaching experiment and a series of individual interviews. Qualitative analysis of…

This article illustrates the utility of using virtual environments to transform social interaction via behavior and context, with the goal of improving learning in digital environments. We first describe the technology and theories behind virtual environments and then report data from 4 empirical studies. In Experiment 1, we demonstrated that…

Descriptions of disciplinary practices can suggest visions of authentic classroom activities. Designing activities that are effective, however, requires an additional framework for identifying a discipline's generative resources -- that is, those learning targets that enable students to make disciplinary sense and progress in subsequent…