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The low level of mathematical problem solving abilities of students, especially in the form of flat-side space due to lack of attention and involvement of students in the learning process, students difficulties in understanding the problems of constructing flat side spaces in the form of stories, less innovative learning and less active and creative students in constructing problem solving ideas. Therefore, a learning model is needed that can improve students mathematical problem solving abilities, namely through the Problem Based Learning model. This study aims to describe the activities of students while following learning, and improving students mathematical problem solving abilities. This research is a class action research. Data is collected through tests and observations. The data analysis technique uses descriptive statistics. Based on the results of the study, it was found that: (1) Student activities during the implementation of the problem-based learning model were active; (2) Demonstrating an increase in students abilities in solving mathematical problems, seen from the results of student tests increasing individually and classically after the application of problem-based learning models. So it can be concluded that to improve mathematical problem solving abilities students should use the Problem Based Learning model.