Generally preteens and teenagers get growing pains around their knees and shins. Three years old is too young, I think.

What I said above turns out to be wrong. We saw DD's pediatric rhematologist today and he said that young children as CAN have growing pains, that typically the pain is above or below the knee, and occurs at night.

My mother used to give my niece extra calcium supplements when my niece had growing pains in her legs. I don't know if that's correct or just "folk wisdom"-ish, though. Your Dr. would know, most likely.
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"If you want your children to be bright, read them fairytales-- if you want them to be brilliant, read them even more fairytales" Albert Einstein