From the standpoint of transspektiv approach examines trends in the development of the problem of consciousness in science, which is at an early stage of transition to a new paradigm settings post-nonclassical level. The basic controversy that arose in the classical and nonclassical stage of development psychology of consciousness. Argues that the resolution of these contradictions must use thinking of a higher system level, a fact that leads to the tendency of transition of science to the new paradigm of science settings. We consider three factors that determine the current status of the problem of consciousness. One of them is due to the peculiarities of social development, by which the problem of consciousness is today one of the most important problems. The second factor is due to changes in the structure of scientific knowledge, which show that the multi-disciplinary approach begins to transform into a trans-disciplinary campaign, thus ensuring the integration of science and human knowledge needed to solve the problem of consciousness. The third factor is the internal tendencies of development of psychological science. Showing the stages of evolution of psychological thinking: stand features one-dimensional binary logic inherent in classical science, binary-ternary logic, which uses non-classical psychology. In a multi-dimensional logic, which develops post-nonclassical science, man is viewed as a complex spatiotemporal organization, open to the world and to himself self-developing system, and consciousness does not open in a discrete part (as a functioning body), and in its continuity and long-range. In the post-nonclassical perspective meanings appear as special psychological structures that provide substantive content of consciousness and suggest ways in which people can act, realizing sense and the value of their actions.

The article raises a question about the possibility of appealing to the Husserl’s phenomenology as to the philosophical base of the research of reflection in psychology. The key concepts of the Husserl’s phenomenology are presented. The connection between consciousness, awareness and reflection is outline. Systematized presentation of Husserl on the types of reflection, the results of a simple (natural) and transcendent (phenomenological) reflection, as well as the conditions of its manifestations. Undecided problems, imposes restrictions on the psychological study of reflection from a position of phenomenology, are identified. 

Temporal form of multiple processes is synthesized in subject consciousness, it is a complicated, multidimensional and dynamic. А person relies not only on the structure of experience to achieve synchronization of action with the processes in the surrounding world, but also on anticipation, making maximum use of available information, combined with traces of memory. The basis of theoretical concepts of author is formed by the research work with people controlling vehicles.

The article is devoted to the history and current state of the school of Alexey Nikolaevich Leontiev (1903-1979), an outstanding Russian psychologist, the first Dean of the faculty of psychology of Moscow state University who have made the most significant contribution to the creation and development of the activity approach in psychology. Considered in detail the stages of scientific biography A.N. Leontiev, the author identifies and analyzes the main provisions developed his school of “non-classical psychology”, the origins of which date back to L.S. Vygotsky. Special attention is paid to the analysis offered in the school of A. N. Leontiev solve the problems of the subject of psychology, nature of psyche as a specific mental functions, the relationship between internal and external activities, units of psychological analysis and development of the psyche. Selected as promising lines of development of General psychological ideas of the school of A. N. Leontiev.