This article investigates how affluent students made sense of social justice issues that were embedded in mathematics learning activities. I present 2 case studies of such activities at the intermediate and secondary levels in 2 different schools. The analysis draws on video records and classroom artifacts and applies the theoretical framework of…

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 the 1st…

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…

This study extends previous research that explores how visualization affordances that computational tools provide and social network analyses that account for individual- and group-level dynamic processes can work in conjunction to improve learning outcomes. The study's main hypothesis is that when social network graphs are used in instruction,…

This article explores the concepts of "critical questions" (from D. N. Walton, 1996) and "integrative" and "refutational argument stratagems" as an approach for teaching argumentation and critical thinking. A study was conducted for 6 months in 3 sections of a 7th-grade social studies classroom in which 30 students discussed and wrote about…

The current study examines variation in other-regulation, conceptualized as efforts by one student to regulate their group's work. This study extends research which has conceptualized other-regulation as temporarily guiding others' conceptual understanding and skill development by broadening the spectrum of other-regulation to include…

This study compared the efficacy of 3 approaches to professional development in middle school Earth science organized around the principles of Understanding by Design (Wiggins & McTighe, 1998) in a sample of 53 teachers from a large urban district. Teachers were randomly assigned to a control group or to 1 of 3 conditions that varied with respect…

Three experiments with students from 7th and 8th grade were performed to investigate the effects of decorative pictures in learning as compared to instructional pictures. Pictures were considered as instructional, when they were primarily informative, and as decorative, when they were primarily aesthetically appealing. The experiments…

Many studies have tested external supports for promoting productive collaboration, but relatively few have examined what features characterize naturally productive collaborative tasks. Two lines of research have come to distinct conclusions on the primary task feature associated with productive collaboration: demonstrability versus complexity.…

Many studies have shown benefits associated with engaging students in problem-solving activities prior to administering lessons. These problem-solving activities are assumed to activate relevant knowledge and allow students to develop some initial knowledge structures, which support understanding of the lesson. In this paper we report the results…

The purpose of this study was to investigate the effects of representation sequences and spatial ability on students' scientific understandings about the mechanism of breathing in human beings. 130 seventh graders were assigned to two groups with different sequential combinations of static and dynamic representations: SD group (i.e., viewing…

We report on the initial attempts at evaluating "at scale" a particular technological/curricular innovation that enables more students to develop deeper knowledge. The methods, issues, and findings of the current pilot experiment speak not only to the success of SimCalc MathWorlds, the focus of our research program, but also to the evaluation at…

This paper replicates and extends my earlier work on productive failure in mathematical problem solving (Kapur, doi:10.1007/s11251-009-9093-x, 2009). One hundred and nine, seventh-grade mathematics students taught by the same teacher from a Singapore school experienced one of three learning designs: (a) traditional lecture and practice (LP), (b)…

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…

Two studies examined the effects of four types of teachers' evaluative feedback on Chinese students' self-efficacy in English vocabulary acquisition. In Study 1, a random sample of Grade 8 students (N = 79) learned prefixes and received either formative or summative feedback after failure in test. The results showed that students who received…