This article deals with researches of the cognitive component of interpersonalcognition, and it also studies a possibility of improving it during the process of teachers’education. On the basis of numeral researches data the author describes mistakes, peoplemake estimating one another, and, as a result, she offers the model of interpersonalcognition strategies, allowing minimizing them. The author describes the researches,carried out under her leadership, showing that teachers, who use these strategies,estimate children’s personality feathers much better, than their colleagues, who are notable to use them. The author also presents the method “Improvement of the Strategiesof Interpersonal Cognition”, and analyzes forms and conditions of its usage in theprocess of teachers’ education.