Nightmare! Your son's teacher seems to be unhelpful to put it mildly! She either doesn't understand what Asperger's is, or is being deliberately difficult about it. Maybe you could meet with her and the IEP team with a list of Aspie traits, expecially those that relate directly to Noah and his classroom difficulties, and match each of them with a suggestion as to how they could be dealt with.
To say that Noah is "deciding" or "chosing" not to do things is ridiculous. Are the IEP team (I don't know what this stands for) knowledgeable about AS or is there anyone in authority who can make this teacher understand that your son has genuine problems concentrating and carrying out more complex tasks unless they're broken down in a helpful way.
I'm sorry that things are like this for you and Noah. My son's class teacher was negative to start with, but the Assistant Head is very good and knowledgeable about AS and she has got the message through to the class teacher - so I didn't have to. Also the school have organised one-to-one intervention without me even having to ask for it. In fact, I only found out from the form that the school filled in for the Speech and Language Therapy team - so still problems, but just that they need to keep me up to date with the positive things they're doing!
I'm sure others here are more familiar with the American system and will have more helpful advice to give, but if it's any comfort I'm growling at the teacher for you!
I'm glad you wrote what you did to the teacher.I learn by doing.I can be told how 20 times and still not get it.I have to see how it is done.Watch it being done then do it myself a few times before I get used to it.Of course it is worse if I'm not interested in whatever it is.Your son really would benefit from one on one. Just a few minutes to show him may be all he needs.
Educating the educators.I still have people tell me if you would listen better you would learn.They don't listen when I tell them I learn from doing.They really don't understand.
To kind of explain it.Learning something new to your son might be like when people get their drivers license.You need to study a book and pass a test.You also need to get behind the wheel and drive.But you have to have a licensed driver with you.A one on one.
Your letter is great. I suspect though the teacher will remain firm in her ignorance. Sometimes teachers can be a bit like doctors in thinking they know best / know it all.
The words "chose to" are cruel and unkind - her attitude towards your child is cruel and unkind. How dare she?
I remember I borrowed a book from the library for my son's teacher to read to try and educate her - I even extended the loan period hoping she would read it - I am pretty sure the teacher never took the time to read the book.
She is cruel with her words - you must feel very unlistened to.
Chosen One - I am similar to you - I have to write an essay at the moment.
I read and read the instructions. As usual the instructions for the essay are written in the very long sentence - I can't absorb what I am expected to write about --- to get around this problem I wrote the instructions out breaking up the sentence with these things ----- to get the gist of what they want from the essay. Usually I just launch off and go off on all sorts of tangents cause I haven't understood the outline.
I learn from doing as well.
She is cruel with her words - you must feel very unlistened to.
I meant the teacher is cruel with her words.
I hate to say it, but with these things done properly, I think he would be doing better, right? The accommodations you have listed, by the way, are very similar to my daughter's (with the exception of the wiggle seat and feet touching the ground). But if they are not done properly, how will they ever help? I know it is close to the end of the year, is a teacher change possible? I hate to think this way, but there may be a possibility that you are stuck until the beginning of next year, and hopefully then it will get better. How is the resource or special education teacher? How about the school counselor? Are they providing an aide in class at all?
You have probably thought about all of this. But I feel your pain so much I want to help.
I tend to agree with Korrigan. This is a pretty impressive list of accommodations, but without the goodwill, understanding and co-operation of the teacher and wider school community the potential benefits are just blown away. It definately seems that the problems are more to do with attitudes and wilful ignorance of the teaching staff. It's a real shame, and no wonder you're angry - this shouldn't have to be such a struggle!
Btw - what is a wiggle seat? - I've never heard of that
If she doesn't know you have AS - she needs to know.
Good luck with telling her - or reminding her tomorrow - I hope all goes well.
I dunno. I can be a bit of a stinker in this kind of situation. Very tempting to start writing snide little notes back beside her snide little notes for your son to carry back, Examples: "Teacher chose not to align instruction strategies with son's IEP." "Teacher has not yet demonstrated understanding of AS."
That's what I would do too. I might not be so good at speaking but I have good writing skills and can see through fakes like this teacher. I had a manager at work who wrote similar things about me and she opened herself to all the refutations that I later put into a document for the psychiatrist to see.
Teachers like this one obviously think parents are too stupid to know what is best for their children and that they will easily be baffled by whatever bull they care to dish out. I hope this letter succeeds.
Perhaps you can store the notes written by the teacher to use them later on to underline that the amount of help your son gets just isn't sufficient and the decision re: a one on one aide has to be revised.
If you hadn't got those notes, how would you be able to prove that the school/IEP team isn't doing its job properly?
I dunno. I can be a bit of a stinker in this kind of situation. Very tempting to start writing snide little notes back beside her snide little notes for your son to carry back, Examples: "Teacher chose not to align instruction strategies with son's IEP." "Teacher has not yet demonstrated understanding of AS."
lol! I like that approach! 
I'll remember that for the future! 
I told her, and she acted, just, well, end-this-conversation-ey when I told her. She said the problem is that i'm being disrespectful and rude, but i'm not. I just don't take instruction well.
Calling you rude is just as good manners as calling a blind person lazy because he/she doesn't indentify the colours. Perhaps it's better to enlist an adult's help to point that out to her.
as it stands, these are his acomodations:
*Noah repeats directions back to teacher
I don't know about him, but I have trouble with understanding instructions, but even when I don't understand a word, I can very often repeat them verbatim. That doesn't mean I understand.