We report here on students' views of example generation tasks assigned to them in two first year undergraduate Calculus courses. The design and use of such tasks was undertaken as part of a project which aimed to afford students opportunities to develop their thinking skills and their conceptual understanding. In interviews with 10 students, we…

Suggests that many students with A-level mathematics, and even with a degree in mathematics or a related subject, do not have an understanding of the basic principles of calculus. Describes the approach used in three textbooks currently in use. Contains 14 references. (Author/ASK)

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)