"That's been pretty consistent."
Read more: Northland principals give Budget 2018 a C-
Concerns raised by the NZEI included teacher shortages and support for additional learning needs.
"It is up to teachers as to whether they accept the ministry's offer, or reject it and take industrial action."
The ministry had offered a pay rise ranging between 2.2 and 2.6 per cent a year for three years for most primary school teachers, Rutherford said.
This was a far cry from the 16 per cent increase over two years that teachers thought necessary to address the shortage.
"What's come from the ministry falls well short of what members felt was needed to make the teaching profession attractive.
"There are not enough teachers training, and there is anecdotal evidence of teachers and principals leaving because of the workload.
"The biggest shame of the whole thing is we have such experienced and passionate teachers who are just being burned out by workload and starting to wonder what else is out there."
Primary principals' collective agreement lead negotiator Louise Green said there were "significant issues" that needed to be addressed.
"After a decade of neglect under the previous Government, there are significant issues facing education, including a growing teacher shortage, stress and workload problems, and under-resourcing.
"Children with additional learning needs are not getting their needs met. Principals and teachers have these issues weighing heavily on their minds as they head to their union meetings."
Ministry of Education deputy secretary early learning and student achievement Ellen MacGregor-Reid said, at the time, the ministry had put a fair offer on the table and would continue to negotiate in good faith.
This comes as nurses have rejected the Government's latest pay offer and will issue a final notice of strike action. However they are calling for last-minute mediation in a bid to settle the dispute and avoid widespread industrial action.
Meanwhile, more than 4000 public service workers with the Ministry of Business, Innovation and Employment have been balloted for their support for two two-hour stoppages, on July 9 and July 23, and the results will be known next week.
The Public Service Association said it would be the first co-ordinated strike action in the public service for many years.
PSA national secretary Glenn Barclay said at both organisations staff were paid below the market rate when they started, on the expectation they would move up quickly, which did not happen.
"MBIE is insistent on a performance-based system, which we know doesn't work and actually increases pay inequities," Barclay said.
"Progression is slow and often unfair - and PSA members are saying 'no more'."
Fellow national secretary Erin Polaczuk said the Inland Revenue Department was refusing to make a pay offer to recognise increasing costs of living.