The NAHT voted overwhelmingly in favour of the new motion, with 98.9% voting yes.
The survey was carried out online for the Press Association by the NAHT earlier this year.
Earlier, the NAHT joined the three biggest teaching unions in England and Wales in formally opposing government education policy.
Another teaching union, NAHT, has also expressed concerns about CDAPs and hope officials will look again at the initiative.
But a spokeswoman from the exam board, Edexcel, accused the NAHT of scaremongering.
The NAHT says promising people could be forced out of the profession unless more is done to tackle the problem.
The NAHT welcomed Mr Gove's speech, saying heads had a right to make sure they were on site for inspections.
The NAHT, along with the National Union of Teachers, was involved in a boycott of Sats by heads in 2010.
The NAHT has not yet said it will call a strike however and is hoping for movement from the government.
That, says unions such as NAHT Cymru, is exactly the sort of language to which these "banding judgements" will lead.
The NAHT also called for better specialist provision for pupils with serious behavioural disorders who were being educated in mainstream schools.
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Vice-president of the NAHT and Staffordshire primary school head teacher Bernadette Hunter said Ofsted was putting an "intolerable amount of stress" on heads.
But the National of Association of Head Teachers (NAHT) said it was seeking a meeting with the council to discuss its suspension policy.
The NAHT is the biggest union for head teachers, representing 85% of primary heads and 40% of secondary heads in England, Wales and Northern Ireland.
Russell Hobby, general secretary of the National Association of Head Teachers (NAHT), said synthetic phonics was an essential contribution to helping most children learn to read.
She called on the NAHT to produce evidence to back its claims and said complaints about GCSE marks were being dealt with in the standard way.
The NAHT warned that transport contractors often used the worst buses in their fleets for the school journeys, arguing that children would damage more up-to-date models.
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Last year, the NAHT, along with the National Union of Teachers, was involved in a boycott of Sats - action which affected about a quarter of England's schools.
David Hart, the general secretary of the National Association of Head Teachers (NAHT) welcomed the extra funding, but said redundancy notices were already going out in places like Bristol.
The motion represents a further straining of relationships between the NAHT and Ofsted, coming just days after the association raised concerns about the quality and impartiality of school inspections.
Head teachers' union NAHT Cymru said it believed the code, along with appropriate training for drivers, could have a positive impact on behaviour and make journeys safer for all.
The NAHT says that the government's plan to introduce an appraisal and performance-related pay in September 1999 is "unrealistic" and has called for the changes to be postponed until September 2000.
The NAHT's poll of 806 schools in 137 English education authorities showed the distribution was uneven, as more than a quarter of them had received 8% or more extra this year.
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Anna Brychan, director of the head teachers' union NAHT Cymru, congratulated the Church in Wales for the result of its schools review, adding that many of the church primaries were led by her members.
Fern Turner from the National Association of Head Teachers (NAHT) said the talents of newly qualified graduates were being wasted because of the lack of jobs, but disagreed that Northern Ireland was training too many teachers.
However Anna Brychan, director of head teachers' union NAHT Cymru, warned that her members were concerned about the practical difficulties involved with the proposals, despite their "great eagerness to make maximum use of new technologies in education".
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The NAHT's leadership criticises Ofsted inspections for what it believes is over-reliance on data, such as the Sats tests and data known as "contextural value added" - a measure of progress pupils make throughout their time in school.
What it ought to be about, say the NAHT, is sharing best practice, giving a pat on the back to those who are succeeding and ensuring that the capacity is there to help those schools that are not.
The five unions involved were Members of University College Union (UCU), the National Union of Teachers (NUT), the Association of Teachers and Lecturers (ATL), the National Association of Head Teachers (NAHT) and the Public and Commercial Services Union (PCS).
The NAHT's General Secretary, David Hart, said that while every effort should be made to prevent abuse, there were only five recorded cases of "inappropriate conduct" by teachers last year, suggesting that the change in law was excessive and unnecessary.
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