Screencasting
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Just as a screenshot is a picture of a user's screen, a screencast is essentially a movie of what a user sees on their monitor.
A screencast is a digital recording of computer screen output, also known as a video screen capture, often containing audio narration. Although the term screencast dates from 2004, products such as Lotus ScreenCam were used as early as 1993. Early products produced large files and had limited editing features. More recent products support more compact file formats such as Macromedia Flash and have more sophisticated editing features allowing changes in sequence, mouse movement, and audio.
—http://en.wikipedia.org/wiki/Screencast