The Quadrantids is an above average meteor shower averaging about 40 meteors per hour at its peak. It is thought to be produced by dust grains and particles left behind by an extinct comet known as 2003 EH1, first discovered in 2003.
The shower runs annually from January 1st through the 5th but it peaks this year on the night of the 3rd and morning of the 4th. Once the first quarter moon sets just after midnight it will leave the skies dark enough for a nice show. The best time and place to view this shower will be from a dark location after midnight. Meteors will radiate from the constellation Bootes, but can appear anywhere in the sky.