Presents ideas, techniques, and examples to illustrate how to focus on the behavior of solutions of differential equations, including: assigning meaning to a differential equation, performing computer experiments, playing roulette with a pendulum, analyzing the pictures, and addressing the theory. (MKR)

Discusses a differential equations course emphasizing conceptual understanding, linear and nonlinear systems, and technology. Presents sample exercises illustrating the difference between this approach and the traditional approach. (MKR)

Describes principles for constructing mathematics exercises that challenge students. Presents examples of good problems in differential equations. (MKR)

Proposes the use of conceptualization, exploration, and higher-level problem solving in differential equations courses as a replacement for some of the traditional material that can now be delegated to the computer. (MKR)