Speaking Style, Way Of Talking, Talking Style
Noun
はなしかた
話し方が本当にイライラするのよね。
The way he talks makes me really annoyed.
コウイチの話し方って、かなりしぶいよね。
Koichi's style of conversation is very cultured, eh?
うわぁ！君の話し方、まるで母国語が日本語の人みたいだね。
Wow! The way you talk sounds just like a native Japanese person.
The way of speaking is your way of speaking (or it could be your speaking style). This is how someone talks. Some people have an interesting speaking style, after all.
The readings come from 話す and 方. By now you should have seen these words separately and should be able to read this word too.