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…

"MathThematics" is a mathematics curriculum for grades 6 through 8 that combines activity-based, discovery learning with direct instruction. The textbook for each grade level has eight instructional modules, with each module focused on a theme. Open-ended questions and projects are utilized throughout the curriculum to assess…

According to a 2010 report by ACT, "Only 31 percent of students are performing at a college-and-career reading level with respect to successfully understanding complex text" (p. 5). This statistic demonstrates what educators know: Middle and high school students face numerous challenges in reading, understanding, connecting to, and…