The article presents the experience of language training in the process of teaching languages at a technical University. The article analyzes the current state of language education in a non-linguistic University, and highlights the conditions for its intensive and effective development. The article considers the role and significance of students' textual activity and argues for the need to develop a model of its organization. Various interpretations and definitions of key research concepts are described. Some proposals for the modernization of the existing system of higher education language education, the introduction of innovative technologies in the educational process are presented. The author analyzes the signs and various factors that affect the development of creative independence of students, reveals the types of activities and ways to improve cognitive activity.