I completely agree (though it is some years since I was at school). Still, as Lockhart points out: at least art and music are recognised as arts. Surely even t

I completely agree (though it is some years since I was at school). Still, as Lockhart points out: at least art and music are recognised as arts. Surely even the ropiest music and art educations at least admit that these arts are: 1. ends in themselves, because 2. they are beautiful. I believe these opinions are entirely absent from most mathematics education.