In the historical development of argumentation as a scientific direction and applied field, a number of ways of its visual representation have been developed. In the middle of the 20th century, within the framework of the theory of argumentation, in addition to the logical, rhetorical and computational concepts used since ancient times, new concepts were formulated that shaped the basis for the representation of argumentation using software. First of all, this foundation was laid by researchers who put forward new approaches to its formalization (Stephen Toulmin, Phan Mihn Dung). Since the beginning of the 21st century, the dynamics of informatization of scientific activity and education have led to the development of software designed to represent argumentation and evidence-based reasoning. Both textual and graphical tools are used in the software to visually represent argumentation for solving various tasks depending on the purpose of using the software. We examine the possibilities of the existing software for visualization of argumentation and identify its features and main functions, which open a possibility for a more justified and goal-oriented selection of appropriate tools for the effective solution of various tasks. The article is based on the results of a talk and discussion at the All-Russian scientific conference "Scientific service on the Internet" in 2023.