((Will she also stop talking about herself in third person? Also, have you
considered using something like Gödel numbering to somehow use that intuitive sense to
generate proofs indirectly, or does that involve TO much arithmetic?
Hmm, depending on a few factors (including but not limited to that story actually being
about you) I find myself interested in perhaps discussing math over PMs or something.))
Damn it, I didn't notice I'd started going into third person >_> Screw English
grammar.
Arithmetic is a bitch, and Gödel numbering is the correct answer to a certain problem.
In matters of mathematics, the correct answer to "I solve problems in my sleep and
while brushing my teeth, but can't tell you how I got there" is "go work harder
on learning how to prove things elegantly." As such, that's what I'm doing.
It's your choice as to whether or not you believe me. Do what makes sense.
Did you put that whole post in parentheses?
I believe the point was to signify the continuation of a derail, without the use of an
unnecessary spoiler.
I don't mean this to be as insulting as it's gonna sound but with that in mind, we can't really take your story as an example of why teaching for average students should be modified to accommodate the least developed in the class - Students with Aspergers or more severe forms of learning difficulties shouldn't and can't be taught in the same manner as regular students, being chronically prone to misunderstanding the majority of what they're told. The fact that none of your teachers caught on to some pretty sterotypical signs of autistic behavior is a bit worrying and perhaps helps my gist that stock standard educational methods shouldn't try to cater to the least developed because most of the time they just don't understand why there hasn't been development.
I will submit here that some of my teachers did seem to catch on, but didn't put two and two together: "She almost never makes eye contact or looks away from the ground, won't let anyone else talk, has no interest in other children, and is almost impossible to convince to work on things that don't fall into her current interests" is pretty much the gist of one of the letters sent home at the end of the year (though couched, of course, in far prettier language).
Of course, they might have caught on and run screaming into my parents' beliefs about childrearing (and in particular, me): "She'll get over it eventually, especially if we don't do anything about it or give her any special treatment. This is because she's a completely normal child."
You have a very good point, and I feel that some of my meaning was shielded behind unfortunate word choice. By "catering to," I really mean that there are certain areas in which such students cannot be taught like the rest of the class, and further that the things they learned in a normal class would be detrimental to the wellbeing of themselves and of those surrounding them. Thus something must be done about them. They cannot just be ignored, as you can easily ignore a struggling algebra student (and yes, I've been one of those, too). The situations are different.
Well, anyway. I may just be spewing more crazy all over the place, so I figure I'll stop here.