Analysis of Mathematical Problem Solving Ability Based on Student Learning Stages Polya on Selective Problem Solving Model

Nila Kumoro Manah, Isnarto Isnarto, K. Wijayanti
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引用次数: 6

Abstract

The purpose of this study was to determine the thoroughness of VII grade students who taught by the Selective Problem Solving (SPS) model and to know the description of students' mathematical problem solving ability based on Polya's stages on SPS learning model. Data collection method used the method of participant observation, tests, interviews, and documentation.The method used in this study is a mixed methods with sequential explanatory design where the first stage of research used quantitative methods, and the second stage used qualitative methods. The subjects of this research are six students from VII D grade of SMPN 41 Semarang consist of: two students from top group, two students from middle group, and two students from lacking group in mathematical problem solving ability test. The results showed that: (1) mathematics learning in VII grade with SPS models can achieve learning completeness; (2) the students from top group were able to solve the problem through Polya's stages except looking back stage; (3) the students of middle group were able to understand the problem well, but have not been able to carry out thoroughly stage of planning, implementing problem­solving, and looking back; (4) the students from less group have not been able to solve the problem through the Polya's stage which includes understanding the problem, devising a plan, carrying out the plan, and looking back.
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基于学生学习阶段的数学问题解决能力分析
本研究的目的是确定采用选择性问题解决(SPS)模式教学的七年级学生的彻底性,并了解基于Polya阶段的SPS学习模式对学生数学问题解决能力的描述。数据收集方法采用了参与者观察、测试、访谈和记录的方法。本研究中使用的方法是一种具有顺序解释设计的混合方法,其中第一阶段的研究使用定量方法,第二阶段使用定性方法。本研究的受试者是来自SMPN41三宝垄七年级的六名学生,他们在数学问题解决能力测试中包括:两名来自顶尖组的学生、两名来自中等组的学生和两名来自缺乏组的学生。结果表明:(1)运用SPS模型进行七年级数学学习可以达到学习的完全性;(2) 除了回顾阶段外,来自顶尖组的学生能够通过波利亚阶段解决问题;(3) 中间组的学生能够很好地理解问题,但未能深入地进行计划、实施问题解决和回顾阶段;(4) 来自少数群体的学生未能通过波利亚阶段解决问题,该阶段包括理解问题、制定计划、执行计划和回顾。
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