The Don't Care hand gesture consists of the sweep of the right arm with an open palm, followed by the abrupt closing of the hand in front of the face, at this point, you yell out "Don't Care". It is symbolizes shutting a cell-phone and neglecting to answer a phone call from an unwanted caller.
Example:

At a large party, Amanda looks at her phone. It is from Ashley, a friend she is avoiding all night. She opens it, waves it front of her, shuts it, and yells "Don't Care." The room erupts in laughter. Thus, completing the don't care (hand gesture).
by dramaguy July 2, 2009
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