"Members have made every decision in this campaign; it's a fundamental principle of how we operate as a union," he said.
"The Secretary of Education is riding roughshod over that by going directly to the Employment Relations Authority before members have had their say.
"If there's an improved offer she wants to urgently make, I suggest she just pick up the phone."
However Holsted said she invited the NZEI to facilitated bargaining at midday last Friday.
"We have since extended the time we asked for a response from both unions, at their request," she said.
"We are serious about taking all action available to us to avert the significant disruption a strike would cause to young people and their families, as well as to employers.
"Independent facilitated bargaining is the strongest form of assistance available to reach a negotiated settlement. In the light of the proposed strike, it would be wrong for me to continue to delay, and not take this action."
The teachers and their secondary colleagues in the Post Primary Teachers Association (PPTA) said this week that they would hold a joint one-day strike on May 29 in support of claims for higher pay, more non-contact time and smaller classes.