As seems to be the case all too often, Wolfram is full of  himself....

As almost all the comments below the article point out.  You cannot
use a tool properly or do advanced work with it, if you don't
understand what it is doing or at least have a way to evaluate the
result.

For mathematics it is necessary to understand.  For some uses of
mathematics, such as making pretty pictures, where the accuracy of the
result is less important, knowing the details matters less.

I suppose it could be argued that math software is somewhat like a
word processor.  Most people do not have to understand how the
software works, but they do need to understand the language they are
using to achieve anything with the word processor.  Mathematics (and
by association all quantitative sciences) require understanding the
language and models used to reach valid conclusions.  That means we
may not have to teach the details of how we actually  handle
mathematical expressions in SAGE, but users must understand at least
some way of doing what SAGE does to use it appropriately.

Jonathan

On Dec 4, 9:11 am, Hector Villafuerte <hecto...@gmail.com> wrote:
> Hi,
> some of you might find this article by Conrad Wolfram interesting:
>
> http://www.telegraph.co.uk/education/6719451/We-need-to-base-maths-le...
>
> Best,
> --
>  Hector

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