"Most math is generally taught in bulk segments, followed by a test, which is a high-stakes endeavor for the student. They feel pressure with each choice, then must wait an extended period of time to find out what they did wrong. The sense of collaboration disappears. All this only serves to amplify the effect of a failure. Too many mistakes can be debilitating, causing students to just give up. But trial and failure is actually how we learn best, if we can make failure less costly.
The idea is to let a student know right away if they're headed down the wrong path, so they can back up and try again. We create a process of trial, failure, and then rapid recovery. This helps students to build confidence, which they then carry to higher-stakes tests." - Po-Shen Loh