The Leonid Meteor Shower may be exceptionally good this year, since its parent comet, Tempel-Tuttle, has recently passed through the inner solar system on its 33-year orbit. While the Leonid shower normally produces only about fifteen meteors per hour, this year you might be able to see hundreds, or even thousands of meteors per hour!
The above illustrates that these meteors appear to originate from a point (marked by the red "+" symbol) within the constellation Leo, however they can appear anywhere in the sky. The best viewing time will be between local midnight and sunrise on November 17th.