As a drummer, the two drum stick grips have their definite contexts and place.  French grip, where the thumb is on top gives more subtlety to the playing and sounds a drummer produces, where German grip, stick held with palms placed downward, gives more power, and is generally a more dynamic impressive stick holding technique.  The U.S method aims to take the best from both worlds and is literally held with the hand at a 45 degree angle.
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From West London Drum Tutor, drum lessons in Harrow, Greater London, UK