Ooh, posts! yay!
Lovely Ommward: Yes to zoo - DD2 keeps asking if we can go. Will arrange asap.
Jetcat - My oldest is 6.5 so yes, younger than yours. Will have to look at the shiney thread - I didn't realise you were HEing!
I believe that autonomous learning is more efficient. Have you read Alan Thomas and Harriet Pattison's book 'How Children Learn At Home'? Or anything by John Holt?
I don't think coercing them to sit down and do maths will help them learn maths - I think that letting them learn maths from daily life, and from asking me questions when they're pertinent will help them learn maths, for example.
I don't know what will happen when they're the age of your DD, but I hope she'll be interested enough in things to put my mind at rest!
I think if you're just starting HEing your DD, you may find she needs a long period of looking like she's doing nothing before she develops an interest in learning again - lots of children I know who have been in school have had their curiosity damaged and they need time to really trust that they're in control again.
Also, for me, autonomy in education is a moral issue - I believe that children should be in control of their whole lives and that includes what they learn.
The difficult thing is trusting it. I don't know why I worry. My DD1 learnt to read without being taught, they've all learnt to count and the older two can add. DD1 can add quite complex sums and is brilliant at mental arithmetic. DD1 in particular is advanced in her reading compared to other autonomously educated children but that's just her. The fact she learnt it autonomously should be evidence enough for me! They all have a far more advanced understanding of the world and general knowledge than their schooled peers - in primary school the main focus is on literacy and numeracy so they spend most of their time doing that, and learning to do things that they would be doing naturally if they were at home like visiting the post office etc. Mine understand that as they do it all the time. They have more time to spend on the general knowledge and science side of things. They have a great grasp of geography because of the fun wall map we have of the world, and thanks to doing postcrossing - sending and recieving post cards to and from countries all round the world. No teaching, just answering questions. They know loads about the Victorian period and the Second World War because they developed a real interest in both periods of histoy. They know about air raids and evacuation. They know about not having electricity. They know a lot of science.
I think I've just convinced myself in that post I have no need to worry. I just wish I had more autonomous educators around me to keep my confidence up!
Exams? I don't expect them to do GCSE's unless they have a great desire to. Same with A-Levels. I know there are plenty of other ways to get to doing a degree if they want to. I also know that if they found themselves interested in a career that require them to have the standard 5 GCSEs or 3 A-Levels (or is it 5 AS levels now?) then they could do them all in the space of a year. My friend wanted to start working as an MCA and needed a maths GCSE - she'd failed her maths O-Level as a teen and never retaken them. She did the GCSE and got an A within the space of 2 weeks! She booked the exam, checked that she had a good enough knowledge (from life) of the syllabus, had a friend coach her with exam technique and then did it!
The other benefit of autonomous learning for me is the relationships within our family. I encourage DD1 to remember to practice her recorder because she very much wants to learn saxophone when she's older and wants to have a clarinet for her birthday in May. I have said (truthfully) that we can't afford to buy her a clarinet if she's not going to play it, so if she can show us she will practice an instrument daily, then we'll get her one for her birthday. No coercion involved, just reminders. And she does practice every day - just for 5min but then she gets tired and bored and I don't want her to be put off it. We all try to live consensually and that would be damaged if I insisted on them doing certain amounts of certain sorts of work.
Also, I don't want them to get into the attitude of 'learning is boring and only playing is fun'. I don't want learning to be separated from the rest of their lives.
Sorry for rambling! FB me if you want to