This research began from issues of the low Problem solving skills abilities students of class X SMAN Kabupaten Pesisir Selatan.. This research is a quasi experimental design of The Randomized Posttest Only Control Group Design. The population in this research is all students of class X SMAN Pesisir Selatan. The sampling technique used is Random Sampling. Samples of this research are the students of class X SMAN 2 Lengayang in the class X.4 as the experimental class and class X.1 as the control class. There are some conclusions that can be acquired based on the results of research and discussion. First, the students which use PBI have higher problem solving skills than students that use the conventional learning. Second, problem solving high ability students that using PBI model of learning higher than students using the conventional learning.Third, the starting students mathematical problem solving ability is medium and the students which use PBI higher than students using conventional learning. Fourth, the mathematical problem solving ability of low level students that use PBI models less than students using the conventional learning.Fifth, there is no interaction between the model of learning and the prior knowledge of students in influencing the problem solving mathematical.
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