Argumentation is commonly associated with debate and its using does not require being adversarial. When trying to persuade, your first thought might be to avoid it.
The kind of argument being discussed here is not bickering or being obnoxious or even debate, therefore do not think of it as attacking the opposing point of view. In its simplest form, it is putting forth reasons for or against a certain point of view.
Argumentation can involve deductive reasoning, presentation and elaboration. It starts with a proposition, followed by an expression of a point of view on a subject and then supporting an evidence. The last one is added as principles to support the proposition used. Reasoning on the matter, applying inductions and deductions to the proposed thought are part of the argumentation.