incidentally home ed in my house today mostly looks like my son reading a joke book full of word play jokes and dialogue and then sharing them with me and explaining (in case i didn't get it) why the jokes are funny re: do-you-think-he-saw-us is actually spelt saw-us rather than saurus mummy), followed by using some random massive fallen tree (in my mind) to make into a dragon and do some strange role play enactment, followed by going out with binoculars to the field at the end of the road 'bird hunting' and watching a you tube video on fossils because he's really into geology (whether he'd call it that or not at the minute). in between me getting on with work, and chatting on here, we've played a word game that he enjoys and had a game of battle ships to check he still gets grid references but as far as he knows just for fun.
doesn't sound like learning? what do you think the 7 yos at the local school have learnt so far today? it's friday. he taught himself to play chess recently and learned all about the different fish you get in the red sea and is reading the 'how to train your dragon' series of books at night at bedtime. we're doing a lot of practical maths and we have a lot of philosophical conversations where he shows impressive skills of critical thinking and the ability to explore not only his own opinions but how other people who think differently to him might see things.
his ict skills fly along because he has access to a computer to himself rather than waiting for dodgy old laptops to get handed out around a classroom to be shared one between two or three if indeed they can be logged onto within the allocated time given to the 'ict' lesson.
i try to expose him to people of different cultures and religions and first languages. to travel regularly and go into all different contexts and settings to have wide view and experience of the world.
we haven't covered the battle of hastings but i doubt his life will be at any great loss for it or that what he has missed will take more than five minutes to catch up with if he has a desire to know about it (certainly it won't take more than five minutes to gain what any child remembers of it a year after learning about it endlessly for a whole term).
sorry long post but my point is when you think about home education don't compare to school and if you must compare then compare to the reality rather than the sound bites. it is a shrinkingly tiny amount they actually learn and shrinkingly tiny amount of that that they actually retain or make use of in their lives.