Minister for Education Jan O'Sullivan has said she would like to proceed on reforms of the Junior Cycle with the full co-operation of the teaching unions, but she cannot allow them to veto reform.
Ms O'Sullivan said she would be willing to further engage with teacher unions about reforms but only on the basis of the recommendations made in the Travers report.
The minister said she had a duty to move forward and implement the reforms because they were in the interest of students.
Last week the two main teachers unions said Dr Pauric Travers' proposals did not represent a comprehensive resolution but a basis for further negotiations.
But the minister said there would be no more negotiations and that she would proceed with the reforms.
Asked on RTÉ's News at One if she would consider disciplining those who refused to implement the changes, Ms O'Sullivan said she would "consider what needs to be done if it comes to that".
She said the reforms on the table were now different to those that teachers had mandated their unions to oppose.
She said she had not seen "one step of movement" from the unions in relation to assessment and she believed "the ball was now in their court".
She also said she believed there were a significant number of teachers who wanted to move forward.
Her remarks came as Department of Education officials were to outline plans for the roll out of Junior Cycle reform to various education groups.
Officials were to meet students, parents' representatives and management bodies.
They have been positive towards the reform proposals outlined in a document by Dr Travers.
Today's meeting followed the decision by the Teachers' Union of Ireland and Association of Secondary Teachers Ireland to reject Dr Travers' proposals as a basis for agreement.
The two unions have said second-level teachers will not co-operate with implementation of the reforms.
But they also say further closures of schools as a result of strike action are unlikely this year, even though a directive allowing for such action remains in place.