To form the professional competence in a future pedagogue, just academic knowledge is not enough. Non-academic forms of intelligence represent important human abilities in the social reality. Non-academic form of intelligence consists of social, emotional, and practical forms. They are responsible for the full development of the human personality, the ability to react quickly to a situation. Non-academic forms of intelligence develop in the future teacher his qualities required in professional activities, such as promptness, flexibility and creativity. The purpose of this paper, on the basis of teaching and learning materials, is the theoretical development of the methodology for self-development of non-academic intelligence forms in a future teacher. The developed methodology is divided into three stages: "the development of social intelligence", "emotional intelligence development", "practical intelligence development." The program is based on the trainings that are focused on the job of different forms: tests, surveys, exercises. A collective form helps to improve communication skills, to enhance emotional preparation for any situation and to develop the skill of applying knowledge in practice. The research materials can be used in educational practice of pedagogical universities for the formation of professional competence in future teachers.
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