A Framework for Assessing High School Students' Statistical Reasoning

Chan, S.W. and Ismail, Z. and Sumintono, B. (2016) A Framework for Assessing High School Students' Statistical Reasoning. PLoS ONE, 11 (11). pp. 1-32. ISSN 1932-6203

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Abstract

Based on a synthesis of literature, earlier studies, analyses and observations on high school students, this study developed an initial framework for assessing students' statistical reasoning about descriptive statistics. Framework descriptors were established across five levels of statistical reasoning and four key constructs. The former consisted of idiosyncratic reasoning, verbal reasoning, transitional reasoning, procedural reasoning, and integrated process reasoning. The latter include describing data, organizing and reducing data, representing data, and analyzing and interpreting data. In contrast to earlier studies, this initial framework formulated a complete and coherent statistical reasoning framework. A statistical reasoning assessment tool was then constructed from this initial framework. The tool was administered to 10 tenth-grade students in a task-based interview. The initial framework was refined, and the statistical reasoning assessment tool was revised. The ten students then participated in the second task-based interview, and the data obtained were used to validate the framework. The findings showed that the students' statistical reasoning levels were consistent across the four constructs, and this result confirmed the framework's cohesion. Developed to contribute to statistics education, this newly developed statistical reasoning framework provides a guide for planning learning goals and designing instruction and assessments.

Item Type: Article
Uncontrolled Keywords: Students' Statistical Reasoning; Idiosyncratic reasoning; Verbal reasoning; Transitional reasoning; Procedural reasoning; Integrated process reasoning
Subjects: L Education > LB Theory and practice of education > LB1603 Secondary Education. High schools
Divisions: Faculty of Education
Depositing User: Dr. Bambang Sumintono
Date Deposited: 21 Nov 2016 01:42
Last Modified: 05 Jul 2017 01:22
URI: http://eprints.um.edu.my/id/eprint/16675

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