Mathematical Critical Thinking Ability in Solving Mathematical Problems

Anisa Nurfadilah Nurdin, Rusli, B. I. Sappaile, Hastuty, Sitti Masyitah Meliyana R.
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Abstract

This study aims to determine the mathematical critical thinking skills of class XII IPA 1 students at SMAN 5 Sidrap in solving mathematical problems in arithmetic sequences and series. The type of research used is descriptive research with a qualitative approach. In this study, there were 3 subjects, namely students with high, medium and low mathematical abilities. The instruments used in data collection were observation sheets, written tests and interview guidelines. The results showed that: (1) Students who met the Critical Thinking Level (CTL) 3 or critically were students who had high mathematical abilities. At this critical thinking level, students are able to formulate the main points of the problem, are able to reveal existing facts, are able to determine the theorems used and detect bias, Students are able to work on questions according to the initial plan, able to express their arguments clearly, able to re-examine answers and draw conclusions. (2) Students who meet CTL 2 or are quite critical are students who have moderate mathematical abilities. At this critical thinking level, students are able to formulate the main points of the problem, uncover existing facts, are able to determine the theorem used, are able to detect bias, are able to work on problems according to the initial plan, are able to express their arguments clearly, are less able to re-examine answers and draw a conclusion. (3) Students who meet CTL 0 or are not critical are students who have low mathematical abilities. At this critical thinking level, students have not been able to fulfill all indicators such as not being able to formulate the main points of the problem.
解决数学问题的数学批判性思维能力
摘要本研究旨在了解ssm5 Sidrap中学12年级ipa1班学生在解决等差数列和数列数学问题时的数学批判性思维能力。使用的研究类型是定性方法的描述性研究。本研究共有3个被试,分别是高、中、低数学能力的学生。数据收集使用的工具是观察表、笔试和访谈指南。结果表明:(1)达到批判性思维水平(CTL) 3或批判性思维水平的学生是具有较高数学能力的学生。在这种批判性思维水平上,学生能够形成问题的要点,能够揭示现有的事实,能够确定所使用的定理并发现偏差。学生能够根据最初的计划进行问题,能够清楚地表达自己的论点,能够重新检查答案并得出结论。(2)符合CTL 2或相当挑剔的学生是数学能力中等的学生。在这种批判性思维水平上,学生能够形成问题的要点,发现现有的事实,能够确定所使用的定理,能够发现偏差,能够根据最初的计划解决问题,能够清楚地表达自己的论点,能够重新检查答案并得出结论。(3)满足CTL 0或不批判的学生是数学能力较低的学生。在这个批判性思维水平上,学生还不能完成所有的指标,比如不能表述问题的要点。
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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