Would teleportation destroy the person?

Imagine this; it is 50 years in the future from now. Teleportation has been made, machines can now officially teleport you from place to another. When the machine actually teleports the person, it would be copying the person, deleting the person and then recreating that person somewhere else. My question is, is the person that is created on the other side the same person or a different person altogether? Would the "new person" just be an identical clone of the past who has the memories and everything of the past person or is it the same person as always? And knowing this, would you willingly go in to test a teleportation machine?