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Problem Based Learning (PBL) is a way to form and teach using problems as a stimulus and focus for student activities. Student generalization skills are one of the skills that can be improved using PBL. Mathematical generalization is a competency achieved by students, which includes general perception (identificationing pattern), general expression (describing patterns), generality symbolic expression (formulating patterns), generality manipulation (using generalization results). This research was conducted to see the effect of PBL instrument development on students’ ability to solve problems solving the total dominating set. The study used a mixed method, combining quantitative and qualitative methods. The research subjects consisted of two classes each with  n  = 24 for control class, and  n  = 23 for experimental class. In the control class and the experimental class PBL model is used, but only in the experimental class applied the student worksheet. The homogeneity test of the pre-test results for both classes showed a  p -value of 0.2199 (p &gt; 0.05), so that the average difference between the two classes was not significant (homogeneous). Based on the independent t-test on the post test scores of the two classes, the  p - value was 0.01682 (p &lt; 0.05), so it can be concluded that there is an effect of PBL instrument application on students’ generalization skills.

The analysis of the implementation of problem-based learning students’ generalization skills in obtaining the resolving total domination number