R Hansen says: >A musical student can appreciate Beethoven as soon as they can count, even sooner some might say.
Aah! Now I see, you are using "appreciate" in the usual casual sense, not the deeper kind of appreciation I'm talking about. That's why I brought up the Afro-Cuban music. Its deeper than one might think at first, and unless one grows up with it, you have to do some work to get to that deeper level. There's plenty of other music that would be inaccessible to a typical 3rd grader.
Do people "grow up with math"? Well, yes. In my life I had people around me that were constantly pointing out the mathematical aspects of life and the world. I didn't learn calculus in grade school, but I already knew what it was generally about, the types of problems it help solve, etc.