What is the primary reason engaged parents have more successful children then?
Er that was th ewhole point of my post! Their children are successful becuase they are engaged.
The whole point is that engaged parents don't need this kind of homework sheets to get more engaged, they are already engaged, and parents who are not engaged are not going to suddenly get engaged because of a homework sheet.
Your first post suggests that homework is part of the engagement, no, I disagree, homework is at primary level mostly not worth the paper it is written on. That has been proved by studies.
Engagement is the key, not homework. I used to spend several hours on a Saturday getting ds to do his homework in year 5. In the end I told school I was not going to supervise it, and if they wnated him to do it, then make him accountable at school, eg miss lunchtime if not done.
Once that was out of the way, instead of spending 3 hours nagging on a Saturday, we could spend 3 hours being a family, going out, or playing football, or cooking together, or..... Which is going to benefit more, 3 hours of positive engagement or 3 hours of homework nagging.
The problem people have with homework is that it is not, for the most part, positive engagement.
And no, the parents don't want to shove a worksheet while they do somethign else, they want them to do academic homework (like your prep school kids) which is at the child's level, so it can be done by the child, NOT by the parent.
As to how you get disengaged parents to engage, that is another matter, and certainly isn't solved by more homework.