Parent-child interaction goes a really long way in child development and if you ever get the chance, it's worth sitting in on a session (whether your child needs extra help or not). A large part of the work my wife does is around enabling parents to assist kids that need more input (through no fault of the parents themselves).
In a vocabulary quiz, a kid interpreted the header "wordbank" as one of the choices.
I don't need the R code, but this sounds like it would make good companion data to my own wordfreq [1]. It would be interesting to see which words are learned early but relatively uncommon in corpora, and generally to be able to measure differences in register between child and adult language.
http://wordbank.stanford.edu/analyses?name=vocab_norms
Seems like data sample is too small to infer anything useful for Swedish.. but comparing Danish and English is interesting. Seems like Danes outperform or English kids underperform. Would be interesting to understand what the major driver is for the effect.