Different types of text boxes?

I've noticed that there are two different types of text boxes when working in Illustrator, Photoshop, Indesign, etc but I don't know how nor do i know how to get the one I want. One text box just lets me manipulate and change the size of the text box itself the other changes and distorts the size of the text inside. Is there a term or name for these two types of text boxes? How do I input the one I want or how can I change it to the one I want?