All the Way from the Future World
While Nobita relaxes in his room, he hears a voice. Just then, Doraemon pops out from the drawer and tells him about his future. Sewashi enters and introduces Doraemon as a robot from the 22nd century who has come to help Nobita. Doraemon shows Nobita his gadgets and promises to help him whenever required.
Aired 31/12/2002EP 1694 - All the Way from the Future World

Doraemon
Nobi Nobita is a 4th-grade boy in Tokyo. One day, a round, blue cat-style robot (minus ears) pops up in his desk drawer. Nobita's great-great-grandson (or something) lives in the 22nd Century, but thanks to Nobita's mistakes, the entire family is living in poverty. To rectify this, Nobita's descendent is sent Doraemon back to the past, to help prevent Nobita from making mistakes. Of course this is a difficult task since Nobita is the weakest and least intelligent child in his class. Doraemon does, however, have a 4-dimensional pocket on his front, which contains cool gadgets from the future. With these toys, Doraemon will try to help Nobita. Unfortunately, Nobita also has the bad habit of misusing Doraemon's gadgets and landing himself in yet more trouble?
(Source: AnimeNfo)