A full or regular circumcision involves total removal of the foreskin, leaving the glans (the head or tip of the penis) completely uncovered. The cut is done behind the crown of the glans, in an area where the skin is much less elastic.
A partial circumcision consists of not cutting the entire foreskin, but leaving a considerable amount of foreskin to cover the crown of the glans. The cut of the skin is made in the elastic area of the foreskin.