This is an excellent video that follows "My Favorite Things" from its origins in a mid-century Broadway musical, The Sound of Music, to a hit album by John Coltrane. In the middle of the video Adam Neeley explains how Coltrane was able to exploit the song's unusual form – AAA'B rather than the standard AABA – to his own musical ends, making it a classic of modal jazz.
Incidentally, this video makes an interesting contrast with the hypeharmonic virtuosity Jacob Collier displays in his treatment of "Twinkle, Twinkle, Little Star" and "The Christmas Song."