Thank you again for the additional helpful comments. I did not really think about the personal grading of proofs. ColinsMum, I found your thread and read it before I posted my original question:)...thanks for the thoughtful feedback you provided in that thread.
We have a sticky situation at the new school. DD thinks all the teachers are fantastic, except for her algebra teacher, whose teaching style comes across to DD as completely disorganized. But her teacher happens to be the head of the math department and the only geometry teacher at the school. DD is very methodical, organized in note taking, logical, etc. and she would rather follow a well organized curriculum independently than try to follow the teacher, who doesn't seem to do lesson plans. DD says that in algebra class currently, a topic is introduced by throwing problems on the board and solving them, with no note taking or reference to textbook, etc. Basically every day class is comprised of working through HW problems from the night before at a slow pace. Since my daughter's seen all of this algebra before, it's, um, painful...but she can't imagine 'learning' geometry this way). But that same disorganization can affect one's grade. Ex: DD recently had 30 minutes for a test. DD rushed through it and turns out, was one of few to finish it (maybe the only one). Teacher graded the first page of the test over the weekend, realized no one finished it, and let them finish the second page of the test after the weekend, but students weren't allowed to go back to check work already graded. They found out when they showed up in class that those who had not finished could complete the test. So DD got a low A because she normally goes back and checks work, particularly when she's rushing. Bottom line, DD does not want teacher disorganization to affect how she learns geometry. She doesn't hate the teacher (she's nice), just her teaching style. Ugh, I remember very little about geometry...except that it was far easier than algebra and precalc, at least for me (I didn't even take calc until college). I was going to be frank with the school administration and focus on 'teacher's style does not meld with daughter's learning style and here is why' and see if they draw the same conclusion. It's difficult. I think schools are used to crazy tiger parents pushing their kids so hard, that when they get a parent like me saying 'no, she's pretty smart and school is really easy for her, how can we up the ante', there is huge skepticism.