There is disclosed a system, including apparatus, methods and computer programs, for running native software applications (apps) and HTML5 web-based apps on a computing device, particularly a mobile computing device, in a multitasking mode of operation. In one embodiment, touch screen displays having one or more browsers are adapted to run one or more HTML5 apps, and receive input from hand gestures. One or more software modules execute on the operating system and are responsive to a dragging gesture applied to an HTML5 app displayed in a full screen mode, to subdivide the screen display and display the HTML5 app in one of the subdivided areas and display icons used to launch a second HTML5 app in a different one of the subdivided areas. The second HTML5 app is run concurrently with the first HTML5 app in order to provide multi-tasking between the first and second apps.