Gather shoes belonging to everyone in the house and pile them by the door.
Hold one up and ask whose it is. Whatever comes back, say the full form: 'yes — Daddy's shoe.'
Then ask them to take each pair to the right person or the right spot. Delivering it makes the ownership concrete rather than a naming quiz.
Possessives require holding an object and a person together in one phrase, which is grammatically more complex than naming either alone. Doing it with real belongings gives the relationship a physical anchor a picture card cannot.