Abstract
Mathematics will not escape the problem solving from a simple level to a high level. Problems are given by the teacher affect the thinking process of students. Thinking processes occur when students are interested in collecting information based on initial thinking to identify problems, find solutions and succeed in solving them. There are two types of thinking processes that are predictive and functional types. The purpose of this research is to describe the thinking process of students in high school in problem-solving with the non-routine problem. This research uses the descriptive qualitative method. The research subjects consisted of grade XI students of Senior High School 3 which includes excellent schools in Boyolali, selected by purposive sampling. The results of this study showed that six students with details of two high-ability students, two medium-ability students, and two low-ability students. A moreover that high-ability students and medium-ability students used predictive thinking process type while low-ability students used the functional thinking process type. It can be concluded that students with predictive thinking process type of mathematical ability are better than the type of functional thinking process.
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