Celebrity "Homeschooling" is Different
I have an acquaintance who's triplets have been in a couple of big movies. (Multiples are in demand in Hollywood to share one role - thus they get double the screen time.) Not to say that what they do is inferior or superior - it sounds neat - but what she described to me is not exactly our idea of homeschooling. She, BTW homeschools them part of each school year in California during auditions, and they go to school part of the year.
Essentially, the studio wants the kids on the set, so they hire a full-time tutor (with budget) and get an extra trailor (which becomes the schoolhouse). The mom and tutor did get to talk together about what the kids would learn, but essentially, homeschooling was simply the loophole they used to keep the kids working. They schooled between scenes - and practiced lines. SHe was quite involved so theirs became quite arty and experiential.
They are what I would call tutored. They are stage kids who are sent on multiple auditions. Such children are often told why they didn't get parts, told to dye their hair, lose weight, and such to get roles. (My acquaintance says she did not do this to her girls, but had stories of others.)
The celebrity parents who have homeschooled their own kids have more likely done what we consider to be homeschooling, but in some cases the studio has again hired a tutor and trailer so that the parent would be willing to go to remote locations for shooting scenes. However, this shows that the parent is insisting on being with their children. In some cases, they do really homeschool.
Here's an article, though, where Jada Pinkett Smith talks about how her kids 'belong to a homeschooling program' that allows them to travel with her,' but while she probably has some tutor help, she talks about studying the world religions and the places they visit - sounds SO incredibly cool: Tulsa Today