To be honest, I have no words to say about the child education history requirement. It is strange to say the least. But since education history is used as evidence of residency in Canada, it is not needed for the child due to exempt from residency qualification.
If the child is applying with the parents' citizenship, the child still have to wait until the parents meets the residency requirement. Once the parents qualify for citizenship after 3 years the child has already waited 3 years.