This study, in the view of the particulars on mathematics, tried to criticize the way how they have reformed mathematics curriculums, which moreover have been executed without any official investigation of the ways up to the recent curriculum. On the basis of these critics, this study suggested a few desirable ideas about how to reform the mathematics curriculum which were investigated from a mathematics educational standpoint. For this purpose this study was executed as followings : first, there has been reflective investigations about the existing ways of reforming mathematics curriculums ; second, there suggested a new way of reforming the mathematics curriculum which we may consider as the way for the future mathematics curriculum reform.