I think the schools should all be shut until February, by which time the vaccination programme will be well underway.
Unfortunately I don't think this will happen, and so far indications (BBC news this morning) appear to suggest that secondary schools will remain closed initially, except for years 11 and 13, while primaries will be open.
When will they learn? Many moons back they were saying secondary schools aren't really spreaders and so long as older children wear masks....ah, didn't work, did it?
They're holding out on primaries only because it is so difficult for parents; however, in due course they will realise just how much small children spread the virus, often without showing symptoms, and that they must do a re-think.
We are vaccinating but it will take time. The virus mutates, all viruses do. If we leave it spreading unchecked, before long we will get a mutation which renders the vaccination useless. Why not keep it in check until we can get enough of the population vaccinated?