Abstract
A differentiated approach to teaching is one of the necessary conditions for humanization in education and plays a crucial role in the development of abilities, skills, and cognition of students. The teaching of Mathematics has extensive global experience of differentiated instruction. Differentiation was considered from the point of view of in- depth study of Mathematics in high school, the provision of assignments of different levels of complexity, resources, the pace of learning by students, individualization and personalization of teaching, etc. Modern pedagogy in the context of the humanization of teaching considers differentiation through orientation to the student, his needs and abilities to achieve the learning goals by all students in the classroom. There are three main principles for applying differentiation: acceleration, complication, and deepening. This article provides the literature review on differentiation in the classroom, its principles. An example of the application of the principles of differentiation in the lesson, examples of assignments in the process of formative assessment, and the results of the study are provided in the article.