This research studied learning model for the purpose of renovation of mathematics teaching methods. Especially, this research classified the types of cooperative learning, the theoretical background for cooperative learning, the need of cooperative learning in school mathematics, and the differences between cooperative learning and traditional small group learning, This research also suggested special features of cooperative learning and various types of cooperative learning models. The main types of cooperative learning which this research supported are TAI(Team-Assisted Individualization, JIGSAW cooperative learning, JIGSAW II cooperative learning, JIGSAW III cooperative learning, STAD(Student Team-Achievement division) cooperative learning, and TGT(Teams-Games-Tournament).