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 justI think this is a bit like teaching mathematics. If you started off
> don't think that they are that useful when one is first introduced to
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
There's an obvious analogy to teaching programming here (though the
[*] Don't pick me up on this: my memory is that a field is the right
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