[IAEP] reconstructed maths

[Yoshiki Ohshima]

At Thu, 17 Jul 2008 11:57:50 -0400,
Albert Cahalan wrote:
> 
> On Thu, Jul 17, 2008 at 10:55 AM, Alan Kay <alan.nemo at yahoo.com> wrote:
> 
> > However, where did I say anything about skipping arithmetic?
> 
> Technically you did not. Can I get you to agree that all children
> must memorize traditional arithmetic methods long before getting
> any exposure to vector calculus? Can I get you to agree that
> constructionism does not work for teaching math?
> 
> In case not, please note that you're up against an independently
> reviewed study that would cost about 3.3 billion in 2008 dollars.
> In this real-world test, all 5 constructionist programs failed.
> Personal experience, even 35 years of it, does not compare.

  Alan replied but just in case you missed the background, think of
something like Cuisenaire rods with arrows printed on them.  Addition
is laying two arrows in the same direction, and subtraction is putting
two in opposite direction.  It is a form of (the start of) vector
calulus.

-- Yoshiki