I believe that kids are able to understand more than people assume BUT it is this sort of thinking that means my just turned year old has spent most of this term doing statistics and facts to 20 homework when y3 (2nd grade) is time to start mult/div. I think it cam end up meaning the child as a excessively spiral curriculum where nothing is truly new after the first year until you get to calculus. Ds7 knows a fair amount about fractions because he needed a challenge last year but i am not sure everyone needs to know about everything. Our kids are taught 1/2, 1/4 etc in first year though.
