This study aims to determine: Is increasing the ability of mathematical problem solving students who get problem based learning better than students who get conventional learning. This research is a semi-experimental study with the study population as all students of all grade X students of SMK AR-Rahman Medan. The sample selection is done randomly and 2 classes are chosen. The instrument used is a test of problem solving skills with the material system of linear equations. Data in this study were analyzed using parametric analysis. Statistical analysis of data was performed by t test analysis. The results showed that: (1) Increased mathematical problem solving abilities of students who obtained problem-based learning were higher than students who obtained conventional learning; (2) There is a significant difference between improving students' mathematical problem solving abilities that obtain problem-based learning and students who obtain conventional learning; (3) Among the four aspects of problem solving, the highest average increase in the aspect of "making a mathematical model" of 0.635 with moderate criteria. Based on the results of this study, researchers suggest that problem-based learning in students can be used as an alternative for teachers to improve students' problem solving abilities, especially in the Linear Equation System material
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