Junior high school students’ abilities in solving the open-ended mathematical problems with the context of Songket motif

J. Araiku, E. Kurniadi, W. Pratiwi
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Abstract

Many researchers stated that most students struggle to solve higher mathematical problems, including open-ended problems. One of many solutions is to apply a realistic context close to students. Hence, this research aimed to analyze students’ abilities in solving an open-ended mathematical problem using the Songket context, particularly the Kembang Tengah motif. The subjects were 24 seventh graders. The instruments for this descriptive research were an open-ended problem and an interview sheet. The results show that in solving the open-ended problem, 88.33% of students understood the problem, 59.72% were able to construct, and 72.22% applied the plan, while 52.78% wrote the conclusion. No students evaluated their solution to the problem. In implementing open-ended problems in the traditional context, students have different solutions based on their various experiences with the context, problem-solving schema, and mean-putting on the problem. They also applied multiple problem-solving strategies in working the problem. The similarity was the use of assumptions in solving the problem. However, some assumptions were inconsistent, neither their prior work nor other mathematical concepts. Therefore, teachers and researchers need to emphasize students’ written self-evaluation to check and improve their solutions. Another suggestion is to see the metacognitive process in solving the open-ended mathematical problem using a specific tradition. Furthermore, teachers should engage more in using open-ended problems and scaffold students when facing obstacles in solving them.
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宋凯特母题情境下初中生解决开放式数学问题的能力
许多研究人员表示,大多数学生都很难解决高等数学问题,包括开放式问题。许多解决方案之一是将现实环境应用到学生身边。因此,本研究旨在分析学生在使用颂基特上下文,特别是肯邦登加母题的情况下解决开放式数学问题的能力。研究对象是24名七年级学生。这个描述性研究的工具是一个开放式问题和一个访谈表。结果表明,在解决开放式问题时,88.33%的学生理解问题,59.72%的学生能够构建问题,72.22%的学生应用方案,52.78%的学生写出结论。没有学生评价他们解决问题的方法。在传统情境下实施开放式问题时,学生根据不同的情境、解决问题的图式和对问题的理解有不同的解决方案。他们还应用了多种解决问题的策略来解决问题。相似之处在于在解决问题时使用了假设。然而,有些假设是不一致的,既不是他们之前的工作,也不是其他数学概念。因此,教师和研究者需要重视学生的书面自我评价,以检查和改进他们的解决方案。另一个建议是看到元认知过程在解决开放式数学问题使用一个特定的传统。此外,教师应该更多地使用开放式问题,并在学生遇到困难时帮助他们解决问题。
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