A singing game is an activity based on a particular verse or rhyme, usually associated with a set of actions and movements. As a collection, they have been studied by folklorists, ethnologists, and psychologists and are seen as important part of childhood culture. The same term is also used for a form of video game that involves singing.
Girls playing "London Bridge" in 1898
Children's Dances by Hans Thoma
London Bridge Is Falling Down
"London Bridge Is Falling Down" is a traditional English nursery rhyme and singing game, which is found in different versions all over the world. It deals with the dilapidation of London Bridge and attempts, realistic or fanciful, to repair it. It may date back to bridge-related rhymes and games of the Late Middle Ages, but the earliest records of the rhyme in English are from the 17th century. The lyrics were first printed in close to their modern form in the mid-18th century and became popular, particularly in Britain and the United States, during the 19th century.
Illustration from Walter Crane's A Baby's Bouquet (c. 1877)
Prospect of Old London Bridge in 1710
This 1904 column from The Tacoma Times describes various alternate verses and their accompanying gestures
Girls playing "London Bridge" in 1898