A mobile terminal can include a wireless communication unit for transceiving messages with another terminal, and a touchscreen for displaying the messages in an order in which the messages were transceived. Also, the mobile terminal can include a controller for receiving a selection of a first message displayed at a first position among the transceived messages, moving the selected first message to a different position on the touchscreen of mobile terminal such that the transceived messages are displayed in an order different from the order in which they were transceived, and transmitting a message rearrangement command to the other terminal for rearranging messages displayed on a touchscreen of the other terminal in an order different from the order in which they were transceived.