"In a recent study published in the Journal of the Learning Sciences, Kapur and a co-author, Katerine Bielaczyc, applied the principle of productive failure to mathematical problem solving in three schools in Singapore. With one group of students, the teacher provided intensive “scaffolding”—instructional support—and feedback. With the teacher’s help, these pupils were able to find the answers to their set of problems.
Meanwhile, a second group was directed to solve the same problems by collaborating with one another, absent any prompts from their instructor. These students weren’t able to complete the problems correctly. But in the course of trying to do so, they generated a lot of ideas about the nature of the problems and about what potential solutions would look like. And when the two groups were tested on what they’d learned, the second group “significantly outperformed” the first."
Via Lou Salza