Morgan, I'm not sure I agree that dreams are something which parents hope their children will fulfill for them. Sometimes -- but sometimes not. Each living creature hopes, I think, on a deep level, for some kind of self-realization, and this is something each person has, in some sense, to do alone... Yes, children continue this, build from it, react to it: but no one else can save you the difficulty and joy of your own becoming, nor can you do this for someone else.
Because of this I think it's very powerful when one begins to understand one's own context. The point at which we begin our journey conditions much of the subsequent adventure (though certainly not all, and certainly not in any kind of deterministic way). As children we grow up around people for whom certain issues, questions, modes of life, modes of understanding are important. As a result certain things are, for us, naturally important...