Analysis of Mathematical Problem Solving Abilites base on the Polya’s Step Approach

Sahidi Sahidi, Syamsulrizal Syamsulrizal
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Abstract

This research aims to describe the ability of students to solve mathematical problems using polya steps. The approach used in this study is a qualitative approach with research subjects in class VIII students of MTs Muhammadiyah Aimas Kab. Sorong. The research subjects are three students who have been selected based on their problem solving abilities which are categorized as one student with high ability, one student with medium ability and one student with low ability. Data obtained through interviews and three problem solving of geometry. The validity test used was the validity of the questions from the three questions each showed 0.817; 0.813 and 0.677 this means that the three items are feasible to use, while for the reliability test shows 0.784 it shows that the problem solving ability test is included in the high category. The results of research that have been done show that students who are highly capable can understand the problem, able to make the planning stage, able to solve the problem with the right steps, and able to check answers. Students who are capable are able to understand the problem, able to plan, able to solve the problem, but are unable to check the answers again. Then for low-ability students who have not been able to understand the problem, have not been able to plan, are still unable to solve the problem and are unable to check again.
基于Polya分步法的数学问题解决能力分析
本研究旨在描述学生运用多元步骤解决数学问题的能力。本研究使用的方法是定性方法,研究对象是MTs Muhammadiyah Aimas Kab的八年级学生。Sorong。研究对象是根据学生的问题解决能力选择的三名学生,分为一名高能力学生,一名中等能力学生和一名低能力学生。数据通过访谈和三道几何解题获得。所采用的效度检验为三个问题中每个问题的效度均为0.817;0.813和0.677,这意味着三个项目是可行的使用,而信度测试显示为0.784,表明解决问题的能力测试属于高类别。已经做的研究结果表明,高能力的学生能够理解问题,能够规划阶段,能够用正确的步骤解决问题,并且能够检查答案。有能力的学生能够理解问题,能够计划,能够解决问题,但是不能再检查答案。然后对于那些还不能理解问题,还不能计划,仍然无法解决问题,无法再次检查的低能力学生。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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