Physical experiments in classrooms have many benefits for student learning, including increased student interest, participation and knowledge retention. While experiments are common in engineering and physics classes, they are seldom used in first-year calculus, where the focus is on solving problems analytically and, occasionally, numerically. In…

Students need a robust understanding of the derivative for upper-division mathematics and science courses, including thinking about derivatives as ratios of small changes in multivariable and vector contexts. In "Raising Calculus to the Surface" activities, multivariable calculus students collaboratively discover properties of…

Discusses a concept-oriented calculus course as an alternative to a traditional skill-oriented calculus course. Two main ideas of conceptual calculus are visual conceptualization and receptive argumentation. Includes typical examination questions. (14 references) (MKR)