What Is An "Argument?"
First, one must be familiar with the terminology. In this instance, the term argument refers to "a reasoned attempt to convince the audience to accept a particular point of view about a debatable topic." Looking more closely at this definition, we observe that the argument is not irrational; it does not depend strictly on passion or emotion. Rather, argumentation represents a "reasoned attempt," that is, an effort based on careful thinking and planning where the appeal is to the mind, the intellect of the audience at hand. Why? The answer to this is that one wants to "convince the audience to accept a particular point of view."
The key concept here is "to convince the audience," that is, you must make them believe your position, accept your logic and evidence. Not only do you want them to accept the evidence, but you want that audience to accept "a particular point of view" -- that point of view, or perspective, is yours. It is your position, your proposition. Understand that all too often the audience may be intrigued by the evidence presented, but that intrigue alone is not enough to convince them of the validity or authority of your position in the matter.
You want the audience to accept your point of view about the topic whether it is gun control, safe sex, or stiffer prison sentences for criminal offenders no matter what age. Finally, there must be "a debatable topic" present for a true argument to develop.