Given her really terrible school experiences, if you were to go with the homeschooling option, I'd start with a "deschooling" period, and just visit the library, let her check out books at her level to read, go to museums, watch NOVA specials and travel programs...things that have "sneaky" educational content, but that don't seem coercive and that don't set up a power struggle. There are ways to work educational content including math, literature analysis, history, and science into just about any topic (ask me sometime about tabletop wargaming, lol...), so that your child is interested, engaged, and buying in to the process.
I agree. A de-schooling period is a great idea.
You could also discuss with her what she would like to learn about. Does she have any interests? or subjects she enjoys? would she like to learn a foreign language?Maybe spend time at the library and let her pick out books she'd like the two of you to read together to figure out a good place to start if she doesn't have any ideas.
When you are homeschooling...it doesn't have to be "school-at-home." You can be more like a mentor to her, provide her with lots of options and good materials, sit with her to read together and learn side-by-side, make crafts, do projects and science experiments, visit historical places, etc... There are so many ways our kids can learn that don't require sitting and doing worksheets.
