The "domain-coloring algorithm" allows us to visualize complex-valued functions on the plane in a single image--an alternative to before-and-after mapping diagrams. It helps us see when a function is analytic and aids in understanding contour integrals. The culmination of this article is a visual discovery and subsequent proof of the…

Reported is a study of classificational preference of 250 school children ranging in age from 3 to 8 years old. These subjects showed typical diversity in academic experiences and intellectual aptitudes. The research procedure involved presenting a subject with a set of colored paper shapes and asking him to sort the objects into subsets. The…