So Close to Me" and "Roxanne".
One of this band's songs opens with the claim that "Giant steps are what you take" when you commit the titular action. Another one of their songs claims that the singer is "too full to swallow [his] pride" and is entitled "Can't Stand Losing You". Another song says that a teacher began to "shake and cough just like the old man in that book by Nabokov" and focuses on a girl's infatuation with her teacher. That song appeared in Glee as part of a mash-up with "Young Girl". Their song about a prostitute claims that "[She] don't have to put on the red light". For 10 points, name this British band that released Synchronicity and recorded "Don't Stand So Close to Me" and "Roxanne".
One of this band's songs opens with the claim that "Giant steps are what you take" when you commit the titular action.
The {Police}