Learning and intruction of mathematic is a process intended for facillitate condition of studentin learning environment atmosphere that will influenced on increasing student achievement in mathematics. Learning outcome problem which happening today on mathematics study in elementary school is focus just one aspect, there is the cognitive aspect. The purpose of the research is to enhance student successfully in mathematics in elementary schools. This research used qualitative and emphasize of data analysis process for comparation conclusion from literature review in several scientific journals. Result of the research find that used the Open Ended Learning model can elevate cognitive aspect in leaning outcomes in mathematics, in other hand can involve all of student to develop their creativity and active in mathematic learning, so that students can feel their confident to built mathematic mind set for answer each of the problems through various strategy. Therefore, this reseach conclude that used Open Ended Learning model as one solution for improve students mathematic learning in elementaryschools.