Hi,
Taking the time to understand the root cause of the conflict.
Model the response you'd like to see the children demonstrate as they deal with argumentative situations - calm, understanding, accepting of the fact that disputes happen and that that's ok - good even as dispute is an opportunity to express anger and grievances rationally.
Listen and hear what's being said.
Having a previously agreed set of rules governing behaviour can help the children to set their own boundaries and expectations for each others and own behaviour.
Understand instances and triggers of disagreement - learning or educational approach, homework, drinking water access, dietary and medical needs, access to the outdoors and spatial activity, sharing, accusations of bullying, prejudice, unprofessional judgements ..
Acas is good although focusses on workplace settings - This page from Surlingham school's website is excellent -
resolving conflicts, disagreements and arguments
You may find your school has a policy and procedure to guide arbitration, mediation and dispute resolution with children, young people and adults.
and if it helps with research maybe see if your school supports/rejects aspects of behaviourism, behavioural theory - operant conditioning, reward/punishment and the animal studies of Ivan Pavlov, John Watson and BF Skinner or the work of Albert Bandura -
Social Learning theory & constructivism on youtube is an interesting watch. Scaffolding techniques of Lev Vygotsky and Jerome Bruner help to support children's acquisition of resolution skills
page 11 of this PDF is good
Hth xx