The analysis of problem based learning implementation and its influence to the students generalization thinking skills on solving r-dynamic vertex coloring

Abstract

Abstract In this study, we aim to analyze the generalization thinking skills of students on solving r-dynamic vertex coloring by applying the Problem Based Learning (PBL). This research used a mixed-method, which combines qualitative methods and quantitative methods. The research subjects consisted of two classes, the first class is the control class of 30 students and the second class is an experimental class of 32 students. The instruments used in this research were pre-test, post-test, observation sheet, and interview sheet. Testing the homogeneity of both classes using the results of the pretest were held before starting the research. Homogeneity test results showed the significance probability value was 0.424> 0.05, so the difference in the average of the two classes was not significant. This shows that the two classes are homogeneous or have the same ability. After testing the homogeneity, we also tested normality by using post-test data. It shows that the independent sample test on the post-test data of the control class and the experimental class is obtained that the score of significance probability is 0.00 <0.05 so that it is significant which means that there is a difference between the control class and the experimental class. While students’ generalization thinking skills showed that 56% were in the very high category, 23% were in the high category, 13% were in the average category, and 8% were in a low category. The results of the study indicate that there is an influence of the application of the Problem Based Learning (PBL) in improving students’ generalization thinking skills in on solving of r-dynamic vertex coloring.