The analysis of the literature shows that the studies on parent-child interaction revolve more around narrative and directive discourses than argumentative ones. Studying on parent-child argumentation is of great value. Practically speaking， arguments in parent-child discussions play an important role in children's cognition and communication， which can improve children's ability to reason and accelerate their socialization. Theoretically speaking， the uniqueness of argumentation between parents and children can bring a new perspective to the argumentation theory study. Therefore， the argumentative discourses between parents and children have attracted more and more attention from scholars in related fields.  The current researches on argumentation between parents and children are mainly based on the Socio-cultural theory， Discourse Analysis theory， Child Language Acquisition theory and Pragma-dialectics theory， carrying out quantitative and qualitative analysis grounded on questionnaire， scale， audio and video recordings. We believe that Pragma-Dialectics has advantages over the other three because of its abundant analytical tools for argumentation. First， Pragma-dialectics has taken in the strengths of the Speech Acts theory and Conversational Implicature theory. Secondly， there is an ideal model with four stages， namely， confrontation stage， opening stage， argumentation stage and concluding stage. Last but not least， there is a brand new concept called strategic maneuvering in Pragma-dialectics， with which rhetorical theory was combined. In the aspect of technology， in order to improve the analysis ability， a standardized and mature method is adopted， which is known as the method of CHILDES international children's corpus construction． While great progress has been made in this area， some aspects remain to be improved. As we know， the study is based on only one researching scene， single subject， and incomplete data corpus， which may make the research results unconvincing. As to the scene， recent study limits the scene to mealtime rather than other scenes，as to the subject， the literatures are mainly about the content and strategy of the parent-children argumentation but little about inter-subjectivity，as to the data corpus， the existing data are not based on Chinese but Italian， Swiss， Swedish. Furthermore， parent-child argumentation is of great complexity and it is inevitable to be influenced by family background （degree of education， financial situation， living conditions）， gender， age， personality traits and so on. As an emerging cross-disciplinary subject， parent-child argumentation studies should take into account the various factors mentioned above， aiming at three objectives of theory perfection， subject variety and scene diversity， to improve the existing studies and to provide novel ideas for future parent-child argumentation studies.