Cultivate | Define Cultivate at Dictionary.com
Did you look up "cultivate"? Definition 5, by analogy with definition 3.
Does this mind mean "way of thinking" or "thoughts" or "intellect or understanding"? I think it's the last.
41)Several months ago, my daughter and I were taking a walk with a friend and her son. My daughter was distracted by the sound of frogs, so she walked over to see several of them by the edge of the water. “Look at the frogs by the pond!” she exclaimed excitedly, to which my friend replied, “That’s not a pond, that’s a vernal pool.” Perhaps I should be embarrassed to admit this, but I had no idea what a vernal pool was any more than my daughter did. I realize that as a devoted naturalist and environmentalist, she was trying to help my child widen her knowledge of the natural world. However, what happened was that my young child was confused and distracted from the important thing, which was admiring the frogs and their beautiful songs. My friend’s good intentions of correcting my daughter’s error only prevented her from learning something more important on her own. This is the way many of us unintentionally hinder opportunities in our everyday lives to help our children cultivate their minds.
I'm sorry I meant "minds" not "cultivate".
The mind...that which make us human. Your suggestion of "intellect" is probably the nearest one can get to this concept.