The article deals with the problems of scientific-theoretical aspects of algorithm іnnovative changes algorithm in system of present schools, in basis of which there is the nowadays pedagogіcal science’s answer to challenges of New Era, when pedagogy, performing its historical tasks, creates precondition for that have been approved quality іnnovative processes of pedagogіcal interactions in system “Education – Society”, what is to establish the basis of human security of our organization. A qualitatively new type of textbooks is an important pedagogical problem. The textbook is an important tool in shaping the professional competence of a modern specialist. The role of the textbook in the system of higher vocational education grows in the period of innovative thinking of the newest paths of spiritual progress of humanity. Innovative teaching material system contributes to its effective assimilation by students. In particular, the role of educational literature in the period of information explosion is growing. National pedagogy has great traditions in the creation of textbooks. Ivan Fedorovych in Lviv issued “Bukvar”, which became the first in the world.On the basis of qualitative updating of the formation of textbooks the problems of updating and introducing the innovative content of education, reformatting the system of requirements to the knowledge and skills of a high school student, the maximum interaction between practice and study, which are formed on the basis of well thought-out culturological influence are considered, the system of formation of culturological competence is considered, which is a consequence of the symbiosis of the efforts of all units educationally – the educational activities of the modern school. The system of formation of human personality in the system of personally oriented education is considered. Culturological approach in the creation of scientific and cognitive texts is the need to develop the student’s need for self-knowledge, self-study activities.