Further my post of Oct 16, 2010 11:52 AM: <SNIP> > > The main idea in this > > document is that not only does proportional > > reasoning develop without > > formal education, formal education may actually > > significantly hinder that > > development in many students. > On this point, I'd like to go somewhat further than in my earlier response. I'd like to claim:
... it's not just "proportional reasoning" that develops without formal education, it's ALL reasoning. Formal education is a useful aid to effective reasoning - but it's NOT the only way.
And yes, formal education (if it insists on 'by-rote learning') definitely does significantly hinder the development of reasoning all round.