Sounds like she learns things very fast. The pace of an average class-room even describing something new to her would be ... slow.
You and your wife are not pushing her, she's pulling you guys -- that is rather typical of gifted kids who learn at a rapid pace. I haven't looked back at your earlier posts to see her level of giftedness but what you've described so far sure makes it sound she is highly gifted and needs more depth/detail/etc. Even her description of the kids around her is her telling you she needs/wants more. Remember, she is there everyday for hours having to interact in that environment -- and she is telling you something about that environment. Adults have a choice. She doesn't (yet).
Consider what the 'cost' to her would be in the choices you have -- what would be the worse case scenario? Will she shut down if kept at school? There won't be an ideal solution, but just a least damaging solution ...
best wishes, do let us know how it goes...
