Productive learning of algebra is supported when students reflect on multiple strategies, compare them and discuss the rationale behind and relative merits of particular strategies. Comparison and Discussion of Multiple Strategies (CDMS) is an instructional approach designed to support these processes in math classrooms. In the current study, 16…

In the United States, researchers argue that proof is largely concentrated in the domain of high school geometry, thus providing students a distorted image of what proof entails, which is at odds with the central role that proof plays in mathematics. Despite the centrality of proof, there is a lack of studies addressing how to integrate proof into…

While many of the concepts and approaches that comprise student-centered learning have deep roots in learning theory, the cognitive sciences, and youth and child development, empirical research on student-centered learning's impact in K-12 classrooms remains limited. This report offers highlights from three studies commissioned by Nellie Mae,…