However, Labour education spokeswoman Sue Moroney said her office had received calls from parents who did not think the school was doing enough and wanted the teacher to be stood down while the incident was investigated.
They had also complained about being kept in the dark by the principal, she said.
"They are concerned the teacher is still teaching and have had no clear information from the principal about whether there's going to be any investigation into this incident.
"Labour's position is clear - if there's any complaint of this nature - there must be an investigation from the school and we would want the board of trustees to ensure a full investigation takes place."
Mercury Bay Area School parent Jim Mirko said he believed the teacher should be stood down.
His 8-year-old son William, who had been in her class last year, had told him that she had taped children's mouths but never his.
"I don't agree with it 100 per cent - if those were my kids I would be straight down there.
"We knew there were issues but there were so many we would have thought it would have been left to senior people to handle it."
A mother whose children also attended the school said parents wanted more details of the claims and how the investigation was being carried out.
"The mission statement is students first but they are putting teaching first here."
She said the teacher had a reputation for "straightening children out".
Although she had some concerns about that, other parents thought it was a style that worked for their children.
New Zealand Schools Trustees Association president Lorraine Kerr said it was up to the board of trustees to take responsibility for the situation.
"Everything and everyone is their responsibility right down to student achievements."
Ministry of Education regional manager Chris Day said no complaints had been received about Mrs Doube or any teaching staff at the school, as these were dealt with by the board of trustees. But he confirmed the ministry had received eight confidential complaints about Mercury Bay Area School last year and this year.