The NASUWT questioned Labour's ability to deliver the 10, 000 new teachers it has pledged to employ.
About 12, 000 teachers from across the UK responded to the questionnaire, the NASUWT says.
The NASUWT union said the approach was "politically motivated" and intended to promote so-called "academisation".
The NUT and the NASUWT have already announced joint strike plans over pay, pensions and workload.
But another teaching union, the NASUWT, said the government could cut staff in federation schools.
The NASUWT said teachers would need to be confident of sustained improvement in pay and conditions.
Chris Keates, of the teachers' union NASUWT, said such profound changes should not be contemplated lightly.
The teaching union the NASUWT said the chancellor's plans benefited "the few, not the many".
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Unions including Unison, the NUT and NASUWT are meeting the council on Friday to discuss the grievance.
The NASUWT says a survey shows that more than four in 10 have experienced such online abuse.
Anne Brimacombe, from the NASUWT teaching union, fears the report could lead to more schools being forced to become academies.
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But his counterpart at the second biggest union, the NASUWT, Eamonn O'Kane, was more relaxed about the figures.
Chris Keates, general secretary of the NASUWT, described the level of online abuse against teachers as "truly shocking".
Geraint Davies of NASUWT Cymru said he wanted the HSE to confirm that correct procedures are adhered to.
Caroline Bowker, of the NASUWT, said the problems went beyond slow internet speeds.
But the NASUWT teaching union questioned the evidence that male teachers had any impact on the outcomes of children.
Chris Keates, General Secretary of the Nasuwt teaching union, said supply teachers were "valuable members of the school workforce".
Victor Aguerra from the NASUWT, said the local authority had been unfairly targeted.
The Nasuwt will debate the plans on Sunday at their conference in Bournemouth.
The NASUWT said 40% of its membership voted in an industrial action ballot, of whom 82% voted to strike.
We have met frequently with the NUT and NASUWT to discuss their concerns and will continue to do so.
Chris Keates, general secretary of the NASUWT, said schools which converted to academies were being motivated by extra funding.
Understanding the implication of the new funding arrangements was like trying to "knit fog", said the NASUWT teachers' union.
Teaching union the NASUWT said it would start balloting members next week on strike action against any academy proposal.
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The NASUWT has lodged a formal trade dispute with the government over workload, conditions of service, pensions and jobs.
The rally was jointly organised by the NUT and National Association of Schoolmasters Union of Women Teachers (NASUWT) trade unions.
The NUT and NASUWT unions said there had been "almost unanimous opposition" to the academy move at two public meetings.
The NASUWT union, meeting in Bournemouth, says some teachers have found their ability as a teacher questioned after reporting children.
The NASUWT union said all five specialist teachers, based at Mount Education Support Centre, were picketing at the Civic Centre.
Chris Keates, general secretary of the NASUWT teachers' union, said Mr Burnham's speech would "resonate with a lot of people".
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