Christine Blower, NUT general secretary, told BBC Radio 4's Today programme it was "a little disappointing" Mr Gove had written to Ofqual "without having had this discussion with the profession".
She said: "There is a lot to commend A-levels, but there is no harm done in having a look at them again.
"What we don't want is to have proposals put to us on a take it or leave it basis."
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At least three children and 18 others - including members of the local police force - were among those who died.