The world cosmonautics, the sphere of space activity is at a difficult stage of choosing a new paradigm and development strategy. The article presents a periodization of the Space Age; basic concepts and definitions are given. The concept of further space exploration is proposed, which includes four interrelated super global projects: 1) Earth protection system from asteroid-comet hazard; 2) The Moon Exploration; 3) The Mars Exploration; 4) Cosmic Humanity. The mankind is embarking on the practical implementation of super global projects, so a transition to a new technological order along with fundamentally new technologies are necessary. A new wave of space exploration is rising in the world; the boundaries of the space activity are expanding. The humanity has to reach a new level of space exploration through creating and implementing of a global strategy that will combine new super global projects and effective, clean, environmentally friendly technologies and projects.