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Anthony isn't terrible at moving without the ball, but there's room for improvement.
Working off the ball will help him, his teammates and the entire offense. New York needs to set up more curl screens for him, and it's up to him to utilize them.
Curls from the wing or elbow toward the hoop are tough to defend. When executed properly, the curler comes sharply off the screen, ready to receive the pass. The screener then turns toward the passer, and is open if his man overcommits to help guard the curler.
If the defense is too focused on Anthony and the curler, a sharpshooter like J.R. Smith or Steve Novak should be wide open.
The curl cuts will deliver one of the following: (A) a high percentage look for Melo going toward the tin, (B) an open elbow jumper for a screener like Amar'e Stoudemire or (C) an open shot for a spot-up shooter.