The interesting thing was that she was transposing it on the fly into a minor key, "Because," as she said later, "minor keys are more interesting than major keys."
This child started studying violin when she was seven years old, AND she's my only child who really gets math. She also draws, tells stories, writes poetry, daydreams . . . so she's not really the kind of person we tend to think of as a "math person." It's something she works on, not something that comes naturally to her.
But that's the point -- a bit of work and she gets it.
I wonder how much connection there is to her learning to play a musical instrument -- specifically the violin -- and her ability to get math with a bit of study, instead of struggling and struggling to understand it with indifferent results.
Also in the back of my mind is what I've been reading and hearing from several sources the last couple of years about music and gymnastic being the foundation of an education, and I'm guessing she's benefited in more than just this way by early musical training.
So here's the revelation that's so strange to me, the bibliophile:
If I had it to do over again, I'd invest my money in music lessons for the children before investing in books.
I'd use the public library more and start building our home library when our income made that possible, instead of the other way around -- building our home library when the budget was super tight, and not providing music lessons until is was too late to benefit the older kids.