RME is based on the view that mathematics is a human activity. This view implies that mathematics should be close to the daily lives of students and provide ample opportunity for students to construct their own knowledge. Thus the presentation of mathematics is properly oriented to student characteristics, in other words, is predicted to be understood and dominated by students. Based on this, the study of the development of heuristic design RME as didactical phenomenology and progressive mathematician becomes very important to do. In this case, the didactical phenomenology and progressive mathematician analysis are used as the basis for building hypothetical learning trajectory that is part of the validation of achieving learning trajectory in RME