Functionality is described herein for detecting and responding to gestures performed by a user using a computing device, such as, but not limited to, a tablet computing device. In one implementation, the functionality operates by receiving touch input information in response to the user touching the computing device, and movement input information in response to the user moving the computing device. The functionality then determines whether the input information indicates that a user has performed or is performing a multi-touch-movement (MTM) gesture. The functionality can then perform any behavior in response to determining that the user has performed an MTM gesture, such as by modifying a view or invoking a function, etc.