A display controlling apparatus stores therein first position information of pieces of data in a predetermined n-dimensional virtual space displayed on a display device, specifies second position information in the virtual space indicating positions of the pieces of data obtained after performing a rearranging process thereon, specifies intermediate position information indicating positions in a m-dimensional virtual space corresponding to a period during which the data is rearranged from the first-position-information positions into the second-position-information positions, the m being smaller than the n by 1 or more, calculates first transition paths in transitions from the first-position-information positions to the intermediate-position-information positions, calculates second transition paths in transitions from the intermediate-position-information positions to the second-position-information positions, and outputs display screen information containing the pieces of data that go through the transitions in the virtual spaces according to the first and the second transition paths.