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 Cape York Aboriginal Australian Academy (CYAAA), which began operation as part of the government schooling system in 2010, incorporates activities across three overlapping "domains": Class--the formal schooling component; Culture--Indigenous and non-Indigenous cultural knowledge; and Club--sporting, cultural, music and physical…

"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…