Using The Materials
There are already various applets available for demonstrating mathematical ideas and so it is fair to ask, why more? First, it is now not hard to come across an animation of data in the media, which are often difficult to follow without some experience. These animations have been created with this in mind to provide students with experience reading quantitative information. Hopefully these help with quantitative literacy. Second, the animations each have two versions. There is an html version which allows the user to control the animation with start, stop, forward, backward, and speed controls. This has the advantage of using the animations as an exercise allowing assignments such as explaining or calculating something on a particular frame (there are frame numbers on the animations), as well as, comparing frames. The gif version has the advantage of portability so, for example, they can be placed in PowerPoint slides. On the downside they don't have the controls of the html version. Overall, these animations are created with the idea of being part of a lesson plan or homework assignment and less as a stand means to learn material. Comments and suggestions are welcome.
NOTE: When you click on an html animation it will be stopped. You will need to either click play or advance slide by slide with the arrows.
Calculus 1 Animations
Increase Mean Increase Tail Probability
Increase Sd Increase Tail Probability
- HTML or GIF
- This animation demonstrates how the tail probability increases drastically with an increase of the standard deviation. A real world application of this is an increase in global temperature variability greatly increases the chances of "extreme" temperatures. See Climate Communication and a more scientific article in Nature on increased variability in precipitation.