Modern processes of globalization and international integration have a serious impact on the teacher training system not only in Russia, but all over the world. This process involves new agents, increases its universalization, transforms its content, develops new educational technologies, creates innovative systems of evaluation and accreditation of future and serving teachers, and gradually digitalizes teacher education. All these trends are challenges for teacher education systems in all countries of the world, including the BRICS countries. They require the development of new algorithms of activities; complicate the communication processes of all participants of teacher education.
When conducting comparative research on the basis of contrasting the unique and the common, the priority is to find a special universal methodology that will allow to act effectively in different contexts and ensure the quality of modern teacher education (Menter et al., 2017).