Pemecahan Masalah Matematis Kontekstual Open-Ended Ditinjau dari Self-Efficacy Siswa SMP

Moch. Alfian Nur Fadhila, Ika Kurniasari
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Abstract

Mathematical problem solving is student process in solving mathematical problems based on the steps of understanding the problem, devising a plan, carrying out the plan and looking back. The problems can be in the form of contextual open-ended problems. Students’s mathematical problem solving can vary based on the level of student’s self-efficacy. The aim of this research is to describe the contextual open-ended mathematical problem solving in junior high school students with high self-efficacy and low self-efficacy. The type of this research uses descriptive qualitative which was carried out in one of junior high school in Surabaya city, year 2022/2023. Data collection techniques consist of questionnaires, tests and interviews. The chosen subject is one of high self-efficacy student and low self-efficacy student with equivalent mathematical abilities. Data analysis techniques consist of data condensation, data display and verifying based on Polya problem solving steps. The results show at the understanding the problem step, high self-efficacy students are better at determining the known and unknown than low self-efficacy students. Even so, both restate the problem in detail and explain the conditions of data adequacy clearly. At the devising a plan step, high self-efficacy student has initial experience, whereas low self-efficacy student hasn’t. High self-efficacy student devising and explains more plans than low self-efficacy student. At the step of carrying out the plan, both carry out and explain the steps according to the plan. However, high self-efficacy student use more strategies than low self-efficacy student. At the looking back step, high self-efficacy student crosscheck her solutions, stating her conclusions and mention examples of other problems that can be solved in a similar way. Meanwhile, low self-efficacy student just write and explain conclusions inappropriately.
基于中学生的自我效能的数学上下文问题的解决
数学解题是学生在理解问题、制定计划、实施计划和回顾的基础上解决数学问题的过程。这些问题可以是上下文开放式问题。学生解决数学问题的能力可以根据学生自我效能的水平而变化。本研究的目的是描述高自我效能和低自我效能的初中生情境开放式数学问题的解决。本研究的类型使用描述性定性,这是在泗水市的一所初中,在2022/2023年进行的。数据收集技术包括问卷调查、测试和访谈。被选对象为数学能力相当的高自我效能学生和低自我效能学生。数据分析技术包括基于Polya问题解决步骤的数据浓缩、数据显示和验证。结果表明,在理解问题的步骤中,高自我效能的学生比低自我效能的学生更善于确定已知和未知。即便如此,两者都详细地重申了问题,并清楚地解释了数据充足的条件。在计划设计阶段,高自我效能学生有初步经验,而低自我效能学生没有。高自我效能的学生比低自我效能的学生设计和解释更多的计划。在执行计划的步骤中,既要按照计划执行,又要说明步骤。然而,高自我效能的学生比低自我效能的学生使用更多的策略。在回顾的步骤中,高自我效能的学生核对她的解决方案,陈述她的结论,并提到其他问题的例子,可以用类似的方式解决。同时,低自我效能的学生只是不恰当地写结论和解释结论。
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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