In light of the math common standards' emphasis on performance tasks and constructing arguments, however, Pecsi said teachers will need to begin using more inquiry-based problem-solving. That might entail "20 minutes of students digging deep into one problem and debating," she said. "Ideally that could be an entire lesson eventually. And that would drastically change what our formative assessment looks like."
Rather than asking multiple-choice questions or scanning quickly for right and wrong, teachers will need to be attuned to what students are saying during those discussion and debate sessions. "If you're walking around with a clipboard or notebook as kids are working through application, you're hearing, are they using mathematical thinking? Are they attending to precision? How well are they using the mathematical practices?" said Pecsi.