Mathematics Analogy Reasoning Ability of Junior High School Students in Solving Problems of Pyramid

Dwi Agusantia, E. Nurlaelah
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Abstract

Mathematical analogy reasoning ability is a skill in drawing conclusions based on the similarities between the two things being compared. This study aims to describe students' mathematical analogy reasoning abilities on pyramid material in grade eight junior high school students. This research is qualitative with a case study approach. The subject of this study was grade eight at one of the junior high school students in the city of Bandung, totaling 20 students. The research instrument used in this study was essay test of the mathematical analogy reasoning abilities and has been tested for feasibility. The results of this study were that there was two students who mastered 4 indicators, 2 students mastered 3 indicators, 5 students mastered 2 indicators, 5 students mastered one indicator, and there were 6 students who did not master any of the indicators. Furthermore, 5 out of 20 students were able to identify source problems by looking for the characteristics or structure of the problem (Encoding), 13 out of 20 students were able to find relationships or solve source problems (Inferring), 3 out of 20 students were able to find the same relationship between source problem with target problem and build conclusions from the similarity of the relationship between problem one and question two (Mapping), 8 out of 20 students were able to select the correct answer and were able to explain the analogy or similarity used between the source problem and the problem targets (Applying).
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初中生解题金字塔数学类比推理能力的研究
数学类比推理能力是一种基于被比较的两个事物之间的相似性得出结论的技能。本研究旨在描述初八年级学生对金字塔材料的数学类比推理能力。本研究采用个案研究方法进行定性研究。本研究以万隆市初一八年级的一名学生为对象,共20名学生。本研究采用数学类比推理能力作文测试作为研究工具,并对其可行性进行了检验。本研究的结果是,掌握4个指标的学生有2人,掌握3个指标的学生有2人,掌握2个指标的学生有5人,掌握1个指标的学生有5人,没有掌握任何一个指标的学生有6人。此外,20名学生中有5名能够通过寻找问题的特征或结构来识别源问题(Encoding), 20名学生中有13名能够找到关系或解决源问题(infering), 20名学生中有3名能够找到源问题与目标问题之间的相同关系,并从问题1和问题2之间的关系的相似性(Mapping)中得出结论。20名学生中有8名能够选择正确答案,并能够解释源问题与问题目标之间使用的类比或相似性(应用)。
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