Clearly, encouraging the very best graduates to become teachers in the state school system will serve the interests of everyone in the state school system.
In order to encourage graduates to enters career in teaching, I believe we need a scheme that allows them to enter this career mimimal cost. Teach first obviously helps, but I believe that excellent graduates should be allowed to train on the job (i.e. Without a year’s full time training before they start) in any state school. Obviously the qualifications needed to enter the scheme would not only be academic but would require an intensive interview process/day to identify academic, dedicated and talented teachers.