This talk was presented by Nicholas Jackiw at the 2007 NCTM Annual Meeting in Altanta, Georgia.

While at first glance, the continuous and geometric forms of reasoning characteristic of Sketchpad's Dynamic Geometry visualization seem unrelated to the finite mathematical structures and "discontinuous" topics that are considered the subject of discrete mathematics, on closer inspection, often continuous reasoning can be used effectively to motivate, explain, and better understand discrete topics, just as discrete forms of argument often help ground arguments about continuity. The slides in this talk examine many contexts drawn from elementary number theory, recurrence relations, logic, and iteration in which this interplay can be seen.

Presentation materials: Discrete_topics_commented.gsp, Discrete Mathematics and Dynamic Geometry.pdf