The connective approach is developed by Sir Peter Strawson, emeritus professor of philosophy at Oxford University, as an effective way to understand the fundamental structure of human thinking in the field of analytical philosophy. This article provides insights for extending the work of Strawson, Tay, and Tay et al. to education, in particular,…

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…