The present theoretical research has as objective generality to know the behaviors of attachment and indifference of the child and of its primary cuidadores in the process of adaptation to the Infantile Education. specifically to analyze and to understand the different behaviors of attachment and indifference in children in process of adaptation to the Infantile Education, to try to express what it intervenes with the adaptation of the small children in infantile schools, to search in such a way on strategies of confrontation of the process of adaptation with the family as well as the involved professors beyond inferring on the main procedures used in the process of separation and independizao in first infancy. For in such a way, the theoretical research broke of survey of bibliography, published, teses articles and dissertaes of last the five years, inside of the areas of sciences human beings education in general way, with specific focus in the area of Psychology related with the subject Pertaining to school Adaptation in First Infancy. The search of these materials was become fullfilled through the databases Scielo, Academic Google and Capes Vestibule. The analysis of the material was carried through individually, through the reading detailed and minute of articles, books and summaries, having as it guides the axles norteadores or questions central offices that if relate with the subject of the research. Such axles had been defined as aspects related to the development of the attachment between the primary cuidadores and the child, the process of separation-individuation of the child and the pertaining to school ingression and its adaptation in infantile education. HISTORICAL REVISION ON the IMPORTANCE OF the FIRST RELATION Through one soon historical revision, can be said that the beginning of the agreement on the development of the relation mother-baby was given through the work of Freud. They remember Brum and Schermann (2004) that in its article ' ' Instincts and its vicissitudes' ' (1915), Freud argues that the child mainly possesss physiological necessities that must be satisfied of food and comfort, if interesting for the mother for being this the source of its satisfaction.