The paper suggests a new notion on the object of study and practice in the modern Cultural-Historical psychology. The approach is based on the phenomenological method of analysis by versions of Husserl and Martin Heidegger. The object of the study as well as the center of practices should be mediation itself - its source and conditions, - but not the form of a consciousness (its concentration), which is understood as an objective action derivative. Mediation is carried out as a combined Intermediary Action. Conditions of its accomplishment and development are the subject of researches and practices.