This is Joni Mitchell singing and playing "Both Sides Now" and (at 3:50) "The Circle Game" in 1968 on CBC television show "The Way It Is."
I may be breaking copyright (this video was found in the CBC archives), but I thought it was a great shame that this video was not on YouTube. You can also find this video at: http://archives.cbc.ca/arts_entertainment/music/topics/2462/