Parents are better at identifying academically advanced children than teachers are. Trust yourself and keep learning with an open mind.
Just to clarify, because the "parents are better at identifying gifted children" meme is often misquoted and often misunderstood: this goes back to a specific study (I'm sure someone on this board, probably indigo, can dig it up) in which parents and teachers were given specific questionnaires *designed* to identify gifted children. The parents' questionnaires were better at predicting giftedness than the teachers', but this could just as well mean parents simply knew their children better and in a bigger variety of contexts. It is NOT about gut feeling.
