Stefano Paltera, Associated Press
Celine Dion

Celine Dion says her 6-year-old son, Rene-Charles, has started to realize not everyone's parents appear on TV, or are recognized by the public.

"He's got to share his mom and dad most of the time when we go out," the 39-year-old singer said Monday on "The Oprah Winfrey Show."

"So right away, it is different," she said. "And that's why he doesn't want to go out a lot. I notice that he always wants to stay home."

Dion, 39, is married to Rene Angelil, who has managed her career since she was a teenager. The couple were wed in 1994.

Her splashy "A New Day" show, which opened in March 2003 at Caesars Palace in Las Vegas, will close Dec. 15.