I am becoming more and more convinced that you cannot teach it (logic) any more than you can teach the sense of smell.
I agree that it is a critical sense, indeed, the critical sense, because without it there is no chance of developing the intuition, instinct and habits of mind that I spoke of. But I am convinced that it is a sense and not something taught.
That would explain quite well what we see in the world, would it not? I mean, if logical sense is like, for example, musical sense, it would explain why only a few are able to thrive with it.
I distinctly remember in the 4th grade when I first recognized this sense. It wasn't like an epiphany, I wasn't even trying. It was like I just opened my eyes.
On Jul 1, 2013, at 10:53 AM, Joe Niederberger <firstname.lastname@example.org> wrote:
> R Hansen says >> The statements of mathematics (its conclusions) are logical, but mathematics itself is much much more than just its statements. > > People often stress the importance of mathematics by saying that mathematics teaches critical thinking skills. Aside from "number sense" I think what they are really talking about, mostly, is the logical component of mathematics, which is generally implied rather than explicit. I see no reason why logic should not be taught at an early age, explicitly. > > Cheers, > Joe N > > ------- End of Forwarded Message >