Connect Four, What's Gnu?, Password and Cadoo are fun educational games for elementary school students, according to Education.com. This site provides a recommended age range for each game and describes what each game teaches the child.
Connect Four is recommended for ages 7 and up and teaches children strategy and calculation skills while they try to get four checkers in a row. What's Gnu? teaches spelling and reading skills as kids try to form three-letter words; it is designed for ages 5 to 8. Password, for ages 7 to adult, develops children's reading and vocabulary skills. Cadoo is also meant for ages 7 and up. This game involves charades and other activities that involve logic, sequencing and other skills.