For example, let's assume Alice and Bob share an entangled pair of particles A and B, and Alice wants to teleport the information of another "message" particle M to Bob.
What Alice does is interact her half of the entangled pair, A, she shares with Bob, so that now the message particle M is entangled with Alice's other particle A.
Next Alice measures both of her particles A and M and tells what the outcomes of these measurements are to Bob. Because the message particle M was entangled with Alice's other particle A, and Bob has the information of Alice's measurements, he can use this information to recreate the original message particle M out of the one he has B.
What makes quantum teleportation special is that we didn't need to physically move the message particle M from Alice to Bob.