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Tim Bradshaw  
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 More options Jun 20 2010, 4:56 am
Newsgroups: comp.lang.lisp
From: Tim Bradshaw <t...@tfeb.org>
Date: Sun, 20 Jun 2010 09:56:36 +0100
Local: Sun, Jun 20 2010 4:56 am
Subject: Re: Counting occurences
On 2010-06-19 15:42:50 +0100, Tamas K Papp said:

> OTOH, I don't deny the usefulness of the things you mention, I just
> don't think that they are that useful when one is first introduced to
> computers.

I think this is a bit like teaching mathematics.  If you started off
teaching people about fields[*] you're going to have a catastrophe
(tragically, there is quite good data about this sort of thing,
following the "new mathematics" teaching movement in the 60s and 70s: I
don't think they started with fields, but they did do a lot of set
theory and group theory).

Of course, these concepts are terribly important - you can't get very
far in theoretical physics without a good grounding in group theory and
differential geometry - but that doesn't mean you should turn things
inside out, because you also can't get very far in theoretical physics
without the kind of aggressive numeracy which you only get by just
spending a lot of time playing with sums.  And most people who aren't
theoretical physicists can get by just fine without group theory and
differential geometry, but would be helped enormously by being a lot
more numerate.

There's an obvious analogy to teaching programming here (though the
situation is worse there than it is with maths for various reasons).

--tim

[*] Don't pick me up on this: my memory is that a field is the right
model for reals under the normal operations, but I may be wrong - pick
the right model if so.


 
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