Just as a question - do you think that there are really schools which DO NOT want every child to do their best and achieve what they are capable of?
There may be schools who are (for a variety of reasons, many not under the school's control) less good at delivering this. But are there really lots of schools that don't INTEND to achieve this?
There is a tendency, though, to ascribe too much power to schools to turn around children's lives and to operate independently of all the other factors in their lives. A school may be the most disciplined environment a particular child experiences, the one which demands the highest standards from him or her - but if the out of school environment is one of insufficient sleep, homelessness or poor housing, insufficient and poor food, drug taking (by adults around the child or by their peers or by the child), alcohol, entrenched worklessness, domestic violence etc (all of which are factors even in my small rural village primary) then is it realistic for a school to counteract all of these? To try to do so, of course, that goes without saying - but to genuinely overcome it?
I'm a bit puzzled, marriedinwhite - partitioning is not a 'method of multiplication' or an alternative to times tables learning, it is a process of taking a number into its constituent parts (for example but not always tens and units) to enable efficient calculation of all 4 operations. It enables a child to take e.g. 67 + 56 into (60+50) + (7+6) and calculate it mentally very quickly. It also allows them to take 193 - 56 into (133 + 60) - 56 which is easily mentally calculated as 137.
Partitioning is a precursor to the 'column' addition and subtraction that we know and love, and also to the 'grid' method of multiplication which is a version of the method of long multiplication familiar to many adults that makes the 'real size' (e.g. the fact that the 6 in 635 is in fact 6 hundreds) of numbers explicit. Times table learning is separate and another useful precursor - so in calculation e.g. 635 x 7, partitioning would take the calculation apart into (600 + 30 + 5) x 7, and times table learning would make the (6x7x100)+(3x7x10) + (5x7) calculation easy. They are complementary, not alternatives. Did the school hold a 'maths information evening' for parents? Many schools do as the 'vocabulary of maths' is different now even though the 'underlying maths' is the same.