The article describes the specificity of the interaction between adult and children in joint activities to solve educational problems. The author describes stages of joint activity of the adult (A) and a child (CH) in the systems “A – Ch.” (adult and one child), “A – Ch. – Ch.” (adult and two children, or the group of children), “Ch. – Ch.” (individual work of .children) while solving intellectual tasks with the use of didactic games-manuals, defining the appearance of different educational results. As the primary educational outcome subjectivity stands out as an integrative characteristic of a person.