Continuity mistake: In the scene where Malcolm Crowe is showing Cole the "vanishing penny" trick, watch Malcolm's hair as the scenes cut back and forth between the child and Malcolm. Malcolm's hair (front) goes from perfectly combed to a duck tail. (00:38:30)
Continuity mistake: During the "I See Dead People" scene, Cole is facing Malcolm and a tear runs down his face. When Cole turns away, his face is dry with no trace of a tear.
Trivia: Every time dead people are close by, there is something red in the preceding scene (i.e., when Cole is at the birthday party and is about to get trapped in the attic with the ghosts, there is a red balloon rising toward the ceiling; when Graham comes home to his wife sleeping and is about to realize that he too is dead, she is wearing a red throw; when Cole is in the car with his mother and there is an accident up ahead, she is wearing a red sweater, etc).
Trivia: The doctor that treats Cole after the incident at the birthday party is played by director M. Night Shamalyan. Interesting about this scene is that Shamalyan came from a family of doctors, including his wife who is one. He also at one time wanted to become a doctor before he decided on a career in filmmaking.