The subject disclosure is directed towards a task switching technology on a computing device such as a Smartphone. An application is comprised of one or more tasks. When a user requests that another task be executed, information about the previously executing task (e.g., including a screenshot) is preserved to a stack. If the user invokes a task switcher program, the user is presented with a view of the stack, e.g., containing the screenshots (and representative text) of the tasks that previously executed. The user may navigate among those presented task representations to arbitrarily select any one, with the selected task resumed upon selection.