Hmm lots of interesting points... To respond to your lates post quencher it is important to say at this point that I came to this article from a motherhood feminism page of Facebook. I can't remember the name, but it's premise was the fact that a popular wave of feminism is negating women's important role as mothers. Their point was that while it used to be 'a mother's place was in the home', now it is the case that a 'mother's place is in the workplace.' But how does that value the massive job we do as mothers?
But back to the article, I certainly don't think we should all homeschool our children. Mainly because our society is not set up that way, and to do homeschooling would be incredibly isolating for mother and child.
What resonated with me in the article was society's fear of the mother. How we are recommended to remove our babies from us at every opportunity 'for their own good' as though in every case mentioned, the worst thing for the child would be to actually be with her mother. Extended breast feeding, co sleeping etc are not socially acceptable norms, but why are people so frightened of it? We have state-funded pre-school at age 3, but why is it better for a child to be prised from her mother crying, than just to do something when she's ready?
The other point that got me thinking was about schools imposing patriarchal norms on society. My eldest has just started school, and I've recently retrained as a teacher. We spend a lot of time studying the way we learn, in order to improve it. And this means coming up with loads of new gizmos to try in the classroom. But there doesn't seem to be much debate about the structure of schools themselves. And what we seem to be fighting the whole time is how boring and passive an experience it is for students.
There is an awful lot of punishment and reward to keep the students in line. And what I also felt uncomfortable about is the way I'm taught to Lord it over them, and encouraged to dole out punishment and reward as I see fit. (Very patriarchal)
I'm certainly not proposing any alternative, as you say, the school system as it is, does meet a need in society. And I can't begin to fathom how that would all be restructured.
BUT you rightly mention that there are lots of female teachers and heads... So how can that be the patriarchy. What you see is the feminisation of education. But the structure itself is still a patriarchy. For example, the medieval queen you mentioned is simply a female figurehead at the top of a patriarchal system.
However, a related point about the feminisation of education, is that a teacher is no longer a highly respectable professional role as it would have been 100 years ago for example. When teachers were men it was a comparable job to a solicitor or doctor. Now teachers are predominantly women, the 'value' of the work has greatly diminished, as evidenced by the low pay.