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"Function Carnival changes that. Students watch a video. They try to graph what they see. Then they play back the video and see how their graphical model would be represented as an animation. Does what they meant to graph about the world actually match the world?" This is an explanation of a new online math tool called "Function Carnival." The link to the tool is in the opening paragraph. Further explanation of the tool can be found here: http://blog.mrmeyer.com/?p=18420

"David Cox sent his students through Function Carnival where they tried to graph the motion of different carnival rides. (Try it!) Every student's initial graph was wrong. No one got it exactly right the first time. But Function Carnival doesn't display a percent score or hint tokens or some kind of Bayesian probability they'll get the next graph right. It just shows students what their graph means for that ride. Then it lets them revise."