You have a very narrow concept of homeschooling. It is not always Mom sitting at the kitchen table with her little darlings working in textbooks and workbooks. Usually folks are OUT of their homes as much as they are in them. Homeschooling means the parents can find the best opportunities for their children in regards to education even if it's not considered 'education' by anyone else.
Some folks are into 'unschooling', that is letting the kids decide when they want to learn something. That's too loosey-goosey for me, at least in the early years. Kids need a good foundation for doing math and especially for reading because when they read well, they can teach themselves almost anything. Our daughter essentially had an un-schooling year last year, but she taught herself Japanese and Digital Video Editing while also having a little business on the side and completing part of a Biology textbook, which she taught herself, then attended a lab co-op with several other homeschooled friends.
She's attending Community College for just a few classes, taking the subjects that she likes, when her high school friends are stuck in the same building all day long. She is deciding which classes will further her opportunities when she applies to college. She is learning to plan her own future; that's one of the beauties of homeschooling.
Good luck to you.