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 paper reports on a quasi-experimental study comparing a "productive failure" instructional design (Kapur in Cognition and Instruction 26(3):379-424, 2008) with a traditional "lecture and practice" instructional design for a 2-week curricular unit on rate and speed. Seventy-five, 7th-grade mathematics students from a…

This building profile provides standard information about one of the 129 schools of the Cleveland Public Schools (Ohio) in 1986-87. Information for the Central Intermediate School (CIS), serving grades 7 and 8, is presented along with comparative data for the school cluster and for the district as a whole. In 1986-87, 404 Black students and 237…