Argumentation is a process that helps us make sense of the relationships and generalizations we notice in mathematical quantities and objects. Argumentation is also the process through which mathematical claims are vetted; mathematicians build arguments by explaining and justifying solutions to their peers.
Why is an argumentation important?
Argument helps us learn to clarify our thoughts and articulate them honestly and accurately and to consider the ideas of others in a respectful and critical manner. The purpose of argument is to change people's points of view or to persuade people to a particular action or behavior.
Why is argumentation important in philosophy?
Making and assessing arguments can help us get closer to understanding the truth. At the very least, the process helps make us aware of our reasons for believing what we believe, and it enables us to use reason when we discuss our beliefs with other people.