Description of Students' Mathematical Problem Solving Abilities Based on Polya Theory On Systems of Linear Equations with Three Variables

Abstract

This research aims to describe students' mathematical problem solving abilities based on polya theory in three-variable linear equation systems . This research is descriptive research with a qualitative approach . The research subjects were 6 students, where the research instrument was the researcher himself as the main instrument and as a supporting instrument, namely a problem solving ability test, interview guide. The results of the research show: (1) students with a high level of ability can understand problems very well, such as determining the information contained in the problem completely and precisely, planning problem solving very well, implementing the solution plan and being able to explain the problem solving steps used with results. correctly, and thoroughly check the troubleshooting steps used along with the answers. (2) students with a moderate level of ability can understand the problem well, such as determining the information contained in the problem completely but not quite correctly, having a good problem solving plan, explaining the solution steps used with incorrect results , and not being careful when checking again. comprehensive problem solving steps used along with the answers. (3) students with a low level of ability can understand problem solving but the information provided is still incomplete and inaccurate, have a problem solving plan that can help them solve the problem but it is not accurate, solve problems with incorrect results, and do not check again comprehensive problem solving steps used along with the answers.