Analysis of Senior High School Students' Problem Solving Ability on Three Variables Linear Equation System

M. F. Pratama, Nelly Fitriani, P. Nurfauziah
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Abstract

This study aims to analyze students' mathematical problem solving ability on the material of the Three Variable Linear Equation System (SPLTV) in terms of students' initial mathematical abilities. This research was conducted using a qualitative descriptive method, the subjects of this research were 20 students of class X SMA Negeri 1 Cililin who had studied SPLTV material. The data collection technique in this study was to give a written test in the form of a description with a total of four problem solving indicator questions. Before starting the research, the questions were validated first. Based on the results of the study, the percentage of mathematical problem solving ability on the material of the system of linear equations of three variables is 52.23% which is classified in the moderate category. The indicator of understanding the problem is 71.67%, the indicator of planning problem solving is 51.25%, the indicator of solving the problem according to the plan is 48%, and the indicator of making a mathematical model of the problem, solving and re-examining the answer is 38%. The mathematical initial ability of upper group students obtained an average score of 83.3% classified in the high category, the middle group obtained an average score of 74.58% in the high category, and the lower group obtained an average score of 77% which fell into the high category. So it can be concluded that the initial mathematical ability of students is in the high category for mathematical problem solving ability.
高中生解决三变量线性方程组问题的能力分析
本研究旨在从学生的初始数学能力出发,分析学生在三变量线性方程组(SPLTV)教材上的数学解题能力。本研究采用定性描述法,研究对象是 20 名学习过 SPLTV 教材的 SMA Negeri 1 Cililin 高中 X 班学生。本研究的数据收集技术是以描述的形式进行书面测试,共有四道解题指标题。在开始研究之前,首先对问题进行了验证。根据研究结果,三变量线性方程组材料的数学解题能力占 52.23%,属于中等水平。理解问题的指标为 71.67%,计划解决问题的指标为 51.25%,按计划解决问题的指标为 48%,建立问题的数学模型、解决问题并重新研究答案的指标为 38%。高年级组学生的数学初步能力平均分为 83.3%,属于高分段;中年级组学生的数学初步能力平均分为 74.58%,属于高分段;低年级组学生的数学初步能力平均分为 77%,属于高分段。因此,可以得出结论,学生的初始数学能力属于数学解题能力的高分段。
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