A school (From Greek scholeion is an institution designed to allow and encourage students (or pupils ) to learn under the supervision of teachers. Most countries have systems of formal education which is commonly compulsory. In these systems students progress through a series of schools. The names for these schools vary by country but generally include primary school for young children and secondary school for teenagers who have completed primary education. In addition to these core schools students in a given country may also have access to and attend school both before and after primary and secondary education.kindergarten or pre  school provide some schooling to very young children typically ages 3-5. University vocational school college or seminary may be available after .