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Re: Are teachers really so unwilling to learn?
> I was thinking about it with a different spin. Not learning math
> through computers, or computers through math, but for *us* to learn
> from math how to teach these ideas. If we want to help people
> learn about some of the abstract notions that are shared with math,
> there's been a lot more effort in these directions by math
> educators than computer educators.
> >For general math teaching you may ask Hilaire who is on this
> >list. He is quite modest about his teaching but his thinking about
> >teaching math and geometry is way beyond most teachers.
> I don't know if Hilaire is following this thread... if you are, how
> would you go about teaching something like representation and
> encoding from a mathematical perspective? Or any of the other
> ideas that underly computing?
It's depend on the public you have and how far you want to go with it.
But a possible introduction with bits can be a parallel with
open/close electric circuit, and this is really not a math perspective
This can come later with pratical situation :
. X windows is in 16 bits mode, what does it mean ? So you can
introduce some combinator math
. I have a bit representation of a number, what does it mean in
decimal number ? So you can lead to a reflexion on how are represented
numbers and how you decompoe them in their base (2 in this case)
. You can also introduce Euclide divsion to convert from base 10 to
But in most case, only the first point may be useful to computer users.
From this exemple, you can see how I like to teach math, from a
pratical situation leading to a more abstract one.
Hope it helps.