Central funds plea
The National Association of Headteachers and the Secondary Heads Association said that the national approach to raising standards in schools should be matched by a funding framework.
And the unions claimed ring-fencing the whole of school spending was the only way to guarantee that they received all the cash intended for them.
But the Green Paper, published in September, said ring-fencing was an option unlikely to be pursued unless cuncils fail to hand more cash over to schools.
Instead the Government promised more cash for the worst-off schools and a simpler formula.
John Dunford, general secretary of the SHA, said: "If the Government's top priority remains education then it must ensure that schools are adequately funded."
David Hart, general secretary of the NAHT, said: "The Government recognises that the current system is flawed. Hence the Chancellor's decision to bypass local authorities and guarantee schools some pound;2.4 billion over four years.
"But we need a direct, ring-fenced national system to give heads the funds they require."