The purpose of this study is to research the necessity and possibility of criticisms training of classical poetry for undergraduates of Korean education in a college of education. A common point between literary abilities and abilities of literature education, which a undergraduate student of Korean education in a college of education have to acquire, is to have a critical eye for literature. A lot of studies of the canon in classical poetry has been piled up for a long time. Undergraduate students hardly try to criticize a classical poem in a new angle. So this study suggests using post-chronological intertextuality as a new method to let them criticize classical poetry. At first undergraduate students study classical poetry. They pick up a text for something familiar with a classical poem in subject matter, structure, emotion, narrative and so on. They interpret a classical poem by comparison and contrast with a selected text. The viewpoint leads them to interpret a unfamiliar classical poem from analysis of a familiar text. The most important thing is for a learner not to complete a logical criticism but to experience criticizing classical poetry.