You see I don't think that maths is the only area where high ability children need to be guided (I think I prefer that term to 'taught').
If you take history for example, learning facts about a period is only the very bottom line. A bit like learning the addition and multiplication tables in maths. The next step is to learn to read a text and make a critical analysis of it, to be able to put it within the context of that period (that's where you need the knowledge of that period to be able to do it).
Now my question is: can we really expect even very able children to learn to critique a text all on their own ??
I'm not as good on the subject of litterature but again I'm pretty sure that litterature at a higher level isn't just about reading book or being able to write a story. Maturity was mentioned but there are also plenty of techniques that can be used etc etc.
So can we really expect children to deepen their undertanding on their own. Yes of course some (maybe the 1/1000??) will be able to do up to a point, maybe within the secondary curriculum. Others (the 1/100 or the 1/10) will need guidance much earlier on, even when the aim is 'just' to deepen knowledge. (But that guidance I imagine won't happen or will be sketchy at best, as there is no space for that within the limits of the classroom - time issue etc etc)
I do take noble point about the expectation of parents for the school to teach level 8 maths in a class where they are supposed to be at level6.
Now I suspect this is because that's what parents have been told:
- the teaching WILL be differenciated according to the level of your child.
- the teaching is 'linear' so if you have learn xx then you move onto yy.
At least, that's what I have been told when I enquired about dc1 being ahead. You cant possibly move him a year ahead. he will be taught at his level within the classroom.
The other thing is that teachers need to be careful as to what they say to the children. When children are told, you are a level 6, this is what we would expect someone who is in Y8 (Y9??? I actually don't know), then they assume they could walk into that class and follow the lesson wo a problem. Even though I suspect this is far from the truth.
This is the message that my own dc got from his teachers.... There has never been an expectation to go deeper, just move from one level to the next (as reported by school when they said xx is at a level and is expected to move by two sub level within the year)