I have learned recently from one of the comments in my blog that the MathCounts is conducting a math video-making competition. The name of the contest is the Math Video Challenge where students choose a problem to be solved and create a video about it. The video can be submitted MathCounts.
The finalists, according to the MathCounts website, will present their videos in the 2014 Raytheon MATHCOUNTS National Competition. The winner will receive a scholarship.
The MathCounts Math Video challenge is currently on its third year.