Kindergarten is the correct spelling of the word in English. Kindergarden is incorrect and commonly misspelled in English.
The word kindergarten comes from the German language, kinder means child, and garten means garden.
Kindergarten is a place where children go before they are old enough to go to school. Other names for this type of school are nursery school and play-school.
Kindergarten is more common in American English. In Ireland, it is common to say play-school.In the U.K, it is nursery(2-4 year-olds)/reception(4-5 year-olds). In Australia and New Zealand, they use Pre-school or Kindergarten(Queensland, Tasmania).