The use and understanding of mathematics is a crucial component of the physical sciences. Much work has been done in physics education research and science education more broadly to determine persistent difficulties with mathematics. This work has led to the development of numerous problem solving strategies aimed at helping learners approach…

Discusses the emergence of chaos as a major scientific subject and its place in historical, scientific, and technological context. Three sections provide (1) an overview of the scientific paradigm; (2) a review of the ideology of classical mechanics; and (3) examples of classical systems behaving in peculiar, nonintuitive manners. (MDH)