On Thu, Aug 27, 2009 at 4:55 PM, Peter
Jeremy<peterjer...@optushome.com.au> wrote:
> Sage is an excellent tool for taking the drugery out of doing maths
> but elementary school is more about the fundamentals of arithmetic.
> Sage (or any pocket calculator) can do '14+17' but I would be really
> concerned about a generation of children who couldn't solve '14+17'
> _without_ a pocket calculator.

I'll reply with a quote by by Seymour Papert

"""
Some people might object that it is useless to have children
understand algebra when they don’t know how to multiply 78543 by
17629. I have four answers. Take your pick – each one is sufficient
for my point. First, algebra captures a way of thinking that is far
more important in life (both practical life and intellectual life)
than multiplying big numbers. Second, a calculator multiplies better.
Third, if it is necessary to know how to multiply this can be learned
far more quickly and far less painfully after learning how to think
mathematically. The fourth answer, and perhaps the most important, is
expressed in the words of my mentor, the late Bob Davis who used to
say: “School math teaches the art of getting the right answer without
thinking.” Intensive practice of mechanical skills before one knows
enough to fully understand them is a great inhibitor of creative
thinking.
"""

It is worth reading the whole article at
http://wiki.laptop.org/go/Learning_Learning/Parable_3

Best, Gonzalo

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