Considering the Mathematical Resilience in Analyzing Students' ProblemSolving Ability through Learning Model Experimentation

Abstract

The ability to solve mathematical problems is desired in the 21st century due to its function in improving students' mathematical skills. However, it is observed to be very low among students and this implies there is a need for an appropriate learning model such as blended learning which can be taught online and offline to conduct problem-based learning activities. This research aims to determine (1) the difference in mathematical problem-solving abilities between students taught using a blended learning model and those with problem-based learning by considering their mathematical resilience and (2) the influence between mathematical resilience and students' problem-solving abilities. This is quantitative research conducted using a pretest-posttest randomized experimental design on 233 students at the 7thgrade. The data were collected using tests and questionnaires. The research data analysis technique used was covariance analysis (ANCOVA). The quadrant analysis of the covariance test showed the value of F(1.231) was 12.260 at 0.001 <0.05, and this means there are differences in problem-solving abilities between the two classes of students based on their mathematical resilience. The test concerning the influence showed 0.000 < 0.005, which indicates an influence between mathematical resilience and student problem-solving abilities at 79.8%. The results showed that these two skills influence each other and can improve students' ability to solve mathematical problems. Therefore, in addition to selecting an active learning model for students, educators also need to instill positive mathematical resilience during the learning process due to its effectiveness in increasing the confidence and persistence of students in solving problems.