The Resources page links to more videos, news coverage, and some "explorations" (e.g., an essay explaining how a mathematician used computational techniques to figure out Hangman).
The Wolfram Demonstrations Project has thousands of examples of graphical depictions of problems.
In the list of topics, you find math, technology, economics, geography, and more. I chose "Kids & Fun" and then clicked on "Everyday Life."
The demonstration called "Blue Sky and Red Sunset" shows how the angle of the sun's rays changes the color of the sky. You move the slider to change the angle and you see the colors change.
|Blue Sky and Red Sunset screenshots|
In the math section, I found this interactive demonstration showing the graphs of the derivatives of trigonometric functions:
|Derivatives of Trig and Hyperbolic Functions screen shot|
There are over 200 puzzles.
To be able to interact with the demonstrations, you need to download Wolfram's free CDF (Computable Document Format) Player.