The Calculus Concept Inventory— Measurement of the Effect of Teaching Methodology in Mathematics

Introduction The Calculus Concept Inventory (CCI) is a test of conceptual understanding (and only that—there is essentially no computation) of the most basic principles of differential calculus. The idea of such a test follows the Mechanics Diagnostic Test (MDT, Halloun and Hestenes [11], [12]) and its successor the Force Concept Inventory (FCI) in physics (Hestenes, Wells, and Swackhammer [14]; Halloun et al. [13]; Hake [7], [8]), the last a test which has spawned a dramatic movement of reform in physics education and a large quantity of high quality research. The MDT and the FCI showed immediately that a high fraction of students in basic physics emerged with little or no understanding of