There are five mathematical skills that students must have in one of them is problem-solving. The implementation of problem-based blended learning is expected to demonstrate differences in problem-solving skills that are given problem-based learning blended learning and students who are given conventional learning. It is also known that there are interactions between the initial mathematical ability (KAM) and the learning model of problem-solving capabilities so that this is the purpose of this research. The research was conducted in the private junior high school Imelda Medan with the total population of students in the junior high school. And the research samples amounted to 60 students consisting of two classes, the experimental class and the control class. The results showed that there was a difference in problem-solving skills between students who were given learning-based blended learning and students who were given conventional learning. The student problem-solving capability in the experimental class has a higher average of 78,53, compared to an average control class of 71,56. Then there is the KAM interaction and learning model of problem-solving capability with F hitung value of 3,766 and its significance of 0,029 < 0,05.
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