Members of the Irish National Teachers Organisation (INTO) in Colaiste Mhuire, Marino have expressed shock and anger at the resignation of Caoimhe Máirtín as President of the college.
Ms Máirtín left her post last week, after a settlement, amid allegations of bullying and intimidation at the Institute.
The INTO said today it was gravely concerned about the conduct of the governing body and has called for a full investigation of the circumstances surrounding Ms Máirtín's resignation.
In a statement the INTO said: "There has been a lack of consultation and involvement of members of staff, their professionalism has been undermined and there are questions about resourcing which must be answered.
Members of staff also cited difficulties in delivering courses because of inadequate budgets which were subsequently reduced further. This has clear implications for the quality of teacher education."
INTO general secretary John Carr said that because the Department of Education provides funding to the college, it had "a responsibility to ensure the money is spent as it is intended to be spent".
Minister of State Noel Ahern, on behalf of Minister for Education, Mary Hanafin, said that "as matters stand, there is absolutely no information to show that any part of the funding provided to Coláiste Mhuire Marino for the training of teachers was not used for that intended purpose".
One solution, proposed at a meeting between INTO members and union officials last night, was that the Department of Education should stop funding teacher education in Marino and relocate teacher education somewhere else.
Both sides agreed that, in order to create an atmosphere conducive to resolving these serious issues, the governing body should step aside and the trustees should appoint a single manager, acceptable to all, as an interim measure.
This would allow a resolution to the current situation to be explored and new workable structures put in place. Last year Coláiste Mhuire received about €4.2 million in State funding.
Every year, about 150 student teachers per graduate from Coláiste Mhuire, which is part of the Marino Institute of Education run under the aegis of the Christian Brothers.