DESI, RAHMATINA and Toto, Nusantara and Hery, Susanto and I Nengah, Parta and Abdur, Rahman As'ari (2020) STATISTICAL REASONING OF VARIABILITY IN THE NARRATIVE PERSPECTIVE OF STUDENTS. Periódico Tchê Química, 17 (36). pp. 140-158. ISSN 2179-0302

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Abstract

Statistical reasoning is the way people reason with statistical ideas and make sense of statistical information. Statistical reasoning plays a major role and is essential when individuals are faced with daily phenomena such as educational achievement. Variability is a fundamental component of statistical reasoning.This study aimed to investigate the process of statistical reasoning observed from the students' narration based on the task of variability. The statistical reasoning process used in this study is in analyzing and interpreting the data. There are three indicators used in statistical reasoning, namely students’ narrative in comparing variability, making conclusions, and making decisions based on the ogive graph. There were 108 students involved in this study in Mathematics Education; 49 were selected as research subjects. The subject was chosen because they had carried out a statistical reasoning process using narrative with "make sense" without doing mathematical calculations in completing the task. Two of the 49 students were selected to be interviewed. This study used two instruments, namely a written task and a semi-structured interview guide. The data were analyzed using qualitative methods with an exploratory, descriptive design. This study indicates that two forms of narrative emerge when students undertake a process of statistical reasoning, namely a consistent narrative and inconsistent narrative. The consistent narrative occurs when students can provide the same endorsed narrative about variability in each statistical reasoning process. Meanwhile, the inconsistent narrative occurs when students provide an endorsed narrative, which is the opposite of comparing the variability in the two data groups with the endorsed narrative in making decisions. Narrative inconsistency results in the wrong decision making in choosing one of the two groups of data. A consistent Narrative plays an essential role in making the right decision. The ability to use statistical concepts is needed to produce a consistent narrative.

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