team management; agile methodology; project management

This scientific article explores the theoretical aspects of team management in the context of different management methodologies and compares the effectiveness of Agile and Waterfall project management methodologies. The study reveals that Agile methodologies are highly effective and provide significant cost savings but are still not widely used in Ukraine. Also, this article compares such methodologies as Scrum, Kanban, Lean, PRINCE2, SIX SIGMA, and Hybrid. The choice of methodology should depend on specific project conditions, such as team size and project complexity.