Episode 41
Nobita is forced to clean the shed with his mom and get rid of some old things he no longer needs. A red shoe appears and turns out to be the shoe of a girl that used to be in his neighborhood, but moved to America. Nobita and her used to be next door neighbors and have play dates all afternoon. Little Suneo and Gian made fun of little Nobita and made him steal one of her shoe the day prior to her family moving. Nobita remembering the events asked Doraemon to go back to the past with him to correct his wrongs. Nobita returns her shoe, apologizes, and makes a promise to find her in America when they grow up. In return she gives Nobita all of the pots and pans they used while playing house. Remade in 1987 as "Memories of the Red Shoe."
Aired 18/05/1979EP 41 - Episode 41

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)