When you're writing or speaking to convince people of something, you "make points". A "point" is basically one idea that you want people to believe or understand. Communicating one of these ideas is called "making a point".
In one speech or essay, there are usually several points. Traditionally, people try to make three or more points which all support one "main point" of the writing or speech.
For example, if I write a blog post about why memorizing English phrases is a good way to learn, I might make a few points:
- you can learn how different words fit together
- it's easier to picture and remember words in phrases than by themselves
- it's a good way to avoid mentally translating words into your native language
Each of these "points" might contain smaller points as well.
This is why, when someone says something smart, people say"