The purpose of this article was to explore and classifies the processes of students refractive thinking with dual strategy in solving mathematics problems. This study used a qualitative approach involving 25 subjects and this article the authors describe one subject the refractive thinking with dual strategy. The results of dual strategy refractive thinking show subject need two alternatives In the process of decision making. If there are sequence of district the same, subject uses internal comparison as consideration, for example considering the mode of sequence before and after