Students’ Polya problem solving skills on system of linear equations with two variables bases on mathematical ability Available to Purchase

This study seeks students’ abilities to solve Polya problems involving systems of linear equations with two variables based on their mathematical prowess. Three junior high school students with high, average, and low math aptitudes were chosen as participants. Research data were collected using a written test on the system of linear equations with two variables problem in the form of word questions and interviews. The time triangulation technique is used to establish the credibility of the research data. The findings demonstrated that students with strong mathematical aptitudes could comprehend problems, plan solutions, and carry out problem-solving strategies. Still, they lacked the knowledge necessary to confirm the accuracy of the outcomes, leading students to doubt the proper solution. Students with moderate math abilities can only understand problems, plan solutions and carry out problem-solving methods. Students won’t believe the correct answer since they don’t know how to double-check the results. Meanwhile, students with low math ability can only understand the problem and fail to make problem-solving plans. Students with weak math skills make problem-solving mistakes due to this incompetence. The research’s findings can be used to create learning models that will motivate students to develop their ability to solve mathematical problems, particularly those involving the system of linear equations with two variables material, by emphasizing the accuracy of information conversion into variables, understanding of the fundamental ideas underlying the use of procedures, and the significance of double-checking the outcomes of system of linear equations with two variables problem-solving.