Proper
Sticking Technique.
Proper
Sticking technique requires you hold he sticks 
so that your hands don’t become
strained or fatigued when you play. Mastering this allows you to play efficiently
and for long periods of time. It is one of the keys to developing your ability
to play faster tempos.
MATCHED GRIP:
MATCH
GRIP: Put the stick in between your forefinger and thumb. This will allow the stick
to bounce when it strikes the drumhead or cymbal. For a matched grip both hands would position the sticks in
their hand similarly.
The Photos
describe both traditional and matched grip positions for the right hand.
TRADITIONAL GRIP:
Traditional Grip: Place the drumstick in the crotch of your left hand and grip the stick lightly with the pressure of your thumb. This point is where the stick will pivot in your hand. 
When you bounce the stick control it using your forefinger and your middle finger as a guide.
TRADITIONAL
GRIP:Traditional has advantages and disadvantages over a 
matched grip and if you
choose to use this style understand why.
Traditional Grip was originally used for marching drums, because of the drum's slanted position when held over your shoulder, versus sitting down.
Jazz Drummers adopted it and it is great for quick buzzzing rolls. Then in the 60's guys like Ringo said "nobody can hear me over the screaming" -- he's sitting down, and the Matched Grip is adopted for more power.
Traditional grip allows sticking for a better Jazz backbeats single hand buzz rolls and ruffs. There is not as much power in the traditional grip, but if your drums are mike’d or if there are 12 of you it doesn't matter. It will be still be loud.