Tauranga Montessori Education Trust executive officer Leanna Mitchell said the trust's teachers focused on teaching methods and philosophies which encompassed stress management for children through the learning being driven by the child rather than the teacher.
She also said children did have the opportunity for limited screen time at school.
Merivale School principal Jan Tinetti said a lot of primary schools did not have access to councillors, which was concerning due to an increase in pressures on children.
"Schools are needing a lot more support to help children cope with growing stresses in life," she said. "The general classroom teacher isn't trained in that."
Mrs Tinetti said some low decile schools had access to social workers.
"I do worry at times for the schools who don't have access to that"
Gate Pa School principal Richard Inder said children did learn about stress management at school, and thought due to the broad curriculum of education parents may not be aware of what schools deliver.
He said the basics for all teaching and learning was woven into a section called Key Competency.
"This includes managing self, relating to others and participating and contributing. managing stress is in quite a few of those."
Ministry of Education deputy secretary for early learning and student achievement Karl Le-Quesne said mental health was an important part of education and was taught from Year 1 to 13.
Social worker Ben Conning said a lot of stresses for children can originate from home.
"We're looking at things like financial needs, food, health, drugs and alcohol." Other factors such as bullying and peer pressure at school could contribute to added stress for a child.
Swapping screens for boards
Brookfield mother Cynthia Qiu limited screen time for her children "from the beginning", to help eliminate stress for her children.
"Some of the games are angry and addictive, and the stress is related to that. With bedtime stories, they become calm, but with video games, obviously they're not going to be able to sleep afterwards."
She said she believed it was the responsibly of parents of limit screen time.
"When you're watching TV it's not two-way communication. The children are just being fed with information whether they like it or not."
Ms Qiu and her family incorporated board games as entertainment for her two 6-year-old twins.
"It's relaxing, the children learn about counting numbers and reading and how to develop strategy."