Two heuristic and three rigorous arguments are given for the fact that functions of the form Ce[kx], with C an arbitrary constant, are the only solutions of the equation dy/dx=ky where k is constant. Various of the proofs in this self-contained note could find classroom use in a first-year calculus course, an introductory course on differential…

Discusses the problem-solving heuristics of examining for special cases, utilizing dimensions to make sense of proposed solutions, and symmetry. Presents examples to illustrate the use of one or combinations of these heuristics. (MDH)

In this essay, the authors suggest that there is another, different and more ancient way of looking at the moral and social role of the teacher and the processes of education in which she is involved. This alternative perspective draws on older, more imaginative and complex sources of meaning than the latest Gallup poll or the latest adjusted…