In addition to the list of more than 5000 free mathematics and physics videos and tutorials I shared last year, you may want to add the Vi Hart‘s Math Channel in Youtube. Vi Hart has created recreational math videos and mathematical doodles in fast-paced narration. The channel has more than 200,000 subscribers and has been viewed more than 16 million times as of this writing.
The math video above is the part 1 of 3 of the Fibonacci sequence and Spirals series.
Vi Hart calls herself a recreational mathemusician. She was born Victoria Hart, a music major who is passionate about mathematics. She is currently working at the Khan Academy but continues to maintain her own video blog.