Sandshoe

According to the Eleventh and War Doctors, the Tenth Doctor wore sandshoes. (TV: The Day of the Doctor) He himself generally called them trainers. (TV: Time Crash)

Behind the scenes
"Sandshoe" is a primarily Scottish or Australasian word for a sneaker. The implication in the scene is that the Tenth Doctor thought they were shoes meant for running, whereas his other selves thought they were walking shoes.

To convey the humor to American viewers, it would be a bit like calling someone "Flip-flops."