I don't have young children around (yet - maybe grandchildren in the future). Overall, children as simply amazing. I wish we connected to more of what they are capable of.
I am not sure I have linked out to the wiki pages of a working group looking at geometry in the early years (pre-school up to grade 3). We have decided to work on a thread of symmetry all the way through to the situations where it is unavoidable - i.e. engineering, chemistry, biology, and sometimes math.