A Critical Analysis of Errors Made by Rural and Urban Students in ‘O’ Level Mathematics Paper 1 (4008/1) in Shurugwi and Gweru Districts, Zimbabwe

S. Chirume
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引用次数: 2

Abstract

This study critically investigated and analysed mathematical errors made by forty rural and urban Zimbabwe Ordinary Level students who wrote a test adopted from the ZIMSEC 2012 past examination paper (4008/1). Twenty students at a rural school in Shurugwi District and twenty students of similar characteristics (except for location or district) at an urban school in Gweru District were randomly sampled. Questions 1 and 7 (arithmetic and algebraic manipulations), 2 and 21 (psychomotor skills- measurement, shading, locus and geometric constructions) and 8 and 15 (word problems) were purposively sampled and students’ written and marked scripts were subjected to a critical analysis of errors. The errors were classified into eight categories proposed by Dufresne (2012) and these were error in knowledge, error in skill, error in concept, error in making connections, error in strategy effectiveness, error in convention, error in process and error in format. Mixed methods (QUAL-quan, content and interpretivist) analyses of errors made by the rural students and those made by the urban students were made. The study offers possible strategies that teachers in rural and urban areas can use to rectify students’ mathematical errors in the classroom situation and contributes to the body of knowledge on mathematical error analysis.
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对津巴布韦Shurugwi和Gweru地区农村和城市学生O ' Level数学试卷1(4008/1)错误的批判性分析
本研究对40名津巴布韦农村和城市普通水平学生的数学错误进行了批判性调查和分析,这些学生的考试采用了ZIMSEC 2012年过去的试卷(4008/1)。随机抽取舒鲁维地区一所农村学校的20名学生和圭鲁地区一所城市学校的20名具有相似特征(地点或地区除外)的学生。问题1和问题7(算术和代数运算)、问题2和问题21(精神运动技能——测量、阴影、轨迹和几何结构)以及问题8和问题15(文字问题)被有意取样,学生的书面和标记的脚本被进行了错误的批判性分析。Dufresne(2012)将错误分为八类,分别是知识错误、技能错误、概念错误、联系错误、策略有效性错误、惯例错误、流程错误和格式错误。采用质量法、内容法和解释法等混合方法对农村学生和城市学生的错误进行了分析。本研究为农村和城市教师在课堂上纠正学生数学错误提供了可能的策略,并有助于建立数学错误分析的知识体系。
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