Dan Provost:

My proposal has nothing to do with running apps in the background, but rather, to improve the way the native out-of-the-box apps run in the foreground. As an iPhone user, my ultimate annoyance is receiving a text message notification while using an app, and not being able to reply to the message without exiting the app. The proposed solution (demonstrated in the video below) has the messaging interface open up in the foreground when “Reply” is tapped, rather than exiting the app.

I thought up a similar idea several months ago. Although my concept was just to slide up the keyboard, text box, and the send button, leaving the message notification in view to maintain context. Dan’s idea seems to be more thought out than mine was.