The general secretary of the Secondary Heads Association, John Dunford, said the report would delight head teachers.
But both the Secondary Heads Association and the Association of Teachers and Lecturers have given cautious welcomes to the suggestions.
However, John Dunford, general secretary of the Secondary Heads Association, has expressed concern over the creation of an "elite group" among pupils.
BBC: NEWS | UK | Education | Gifted pupils ignore summer school
The Secondary Heads Association said the latest figures disguised the continuing increase in secondary school class sizes, especially for 11-14 year olds.
The Secondary Heads Association has said it is time the Conservative party and other critics recognise that young people and their teachers are doing better nowadays.
The general secretary of the Secondary Heads Association, John Dunford, said he was pleased someone had recognised that compulsory collective worship was "a contradiction in terms".
BBC: NEWS | UK | Education | School 'daily worship' questioned
This was echoed by another headteachers' union leader, John Dunford of the Secondary Heads Association, who argued that "any sensible assessment of teachers' influence over pupils' progress has to be related to those children's own previous best".
In a joint response, the National Association of Head Teachers and the Secondary Heads Association said they supported ways of identifying potential for higher education in students whose backgrounds made them unlikely to do well at A-level.
But John Dunford, general secretary of the Secondary Heads Association warned that there were "no instant solutions" to resolving the gender gap in this year's GCSE results, which he said could not be explained away by the "laddish culture".
The general secretary of the Secondary Heads' Association, John Dunford, said he was unhappy with some aspects of the method used.
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