The Calculus Concept Inventory and teaching methodology reform
Unlike fields in the humanities and social sciences, mathematics is traditionally taught through lectures in which students are expected to passively learn material. Research has shown that this didactic method leaves students with little conceptual understanding and discourages them mathematically. The Calculus Concept Inventory (CCI) is an exam which was developed to determine the impact of different teaching methodologies on students' conceptual understanding. The results have demonstrated that teaching methods which fall under the category of Interactive Engagement have the largest positive impact on conceptual knowledge. These methods actively engage students through social interactions with their peers and instructors in addition to providing immediate feedback and time for second attempts. The purpose of this report is to describe the current status of calculus reform and the ways in which the CCI is affecting mathematics pedagogy. For example, the University of Texas at Austin Mathematics Department has implemented flipping, an interactive engagement method delivering instruction on-line outside of class and bringing homework into the classroom.