" Donald Saari uses a combination of stories and questions to challenge students to think critically about calculus. “When I finish this process,” he explained, “I want the students to feel like they have invented calculus and that only some accident of birth kept them from beating Newton to the punch.” In essence, he provokes them into inventing ways to find the area under the curve, breaking the process into the smallest concepts (not steps) and raising the questions that will Socratically pull them through the most difficult moments. Unlike so many in his discipline, he does not simply perform calculus in front of the students; rather, he raises the questions that will help them reason through the process, to see the nature of the questions and to think about how to answer them. “I want my students to construct their own understanding,” he explains, “so they can tell a story about how to solve the problem. "

― , What the Best College Teachers Do