Abstract
One way that technology has changed mathematics teaching is that it allows students to see the interplay between graphs and numbers. Our first tip this month is from Mark Howell. He demonstrates a simple idea for investigating the definition of the circular functions by using the graphs to study the numbers. The second tip, by coeditor Lin McMullin, shows how to graph a sequence in a plane and on a number line. It is based on the idea that a sequence is a function whose domain is positive integers, and it sets the graphing calculator to graph only points with integral x-coordinates. The graphs show you what the numbers are doing. Audrey Weeks contributes a brief tip on emphasizing points in The Geometer's Sketchpad by making them large and coloring them. Finally, I suggest that you leave the “Surfing notes” for last. The two sites will lead you to almost everything about mathematics on the World Wide Web—and I do mean everything.
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