Assessing Teachers’ Knowledge in Analysing Errors in Mathematical Word Problems of Ghanaian Primary School Pupils

Stella Sitsofe Yawa Asase
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Abstract

The survey investigated teacher knowledge in analysing pupils’ wrong answer solutions in mathematical problem-solving. A sample of 205 pupils and teachers from 35 Islamic primary schools in the Greater Accra Region of Ghana were surveyed. The teachers were sampled through quota sampling, while the pupils were selected via stratified random sampling. A questionnaire and achievement test were used for the survey. Frequency count, percentage, and chi-square test were used as statistical tools for data analysis. The study found that the majority (71.4%) of the primary school teachers in the Greater Accra Region had difficulty preparing a good marking scheme. Also, more than 60% of the teachers were unable to identify and analyse the errors of pupils as well as communicate feedback on the errors. The study found no statistically significant association between knowledge of error analysis and analysing wrong answer solutions (p>0.05). This study concluded that most primary school teachers in the Greater Accra Region of Ghana do not have enough knowledge in analysing mathematical wrong answer solutions of pupils by using Newman’s model synthesis. It is recommended that mathematics teachers in Ghanaian basic schools should use Newman’s model as a standard method of analysing pupils’ work. For this reason, Ghana Education Service, Ghanaian universities, and colleges of education should include Newman’s model during the training of mathematics teachers.
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加纳小学生数学应用题错误分析中教师知识的评估
该调查调查了教师在分析学生数学问题的错误答案方面的知识。对来自加纳大阿克拉地区35所伊斯兰小学的205名学生和教师进行了调查。教师采用定额抽样,学生采用分层随机抽样。调查采用问卷和成绩测验。采用频率计数、百分比和卡方检验作为数据分析的统计工具。该研究发现,大阿克拉地区的大多数小学教师(71.4%)在准备良好的评分方案方面存在困难。此外,超过60%的教师无法识别和分析学生的错误,也无法就错误进行沟通反馈。研究发现,错误分析知识与分析错误答案之间没有统计学上的显著关联(p>0.05)。本研究的结论是,加纳大阿克拉地区的大多数小学教师在使用纽曼模型综合分析学生的数学错误答案方面缺乏足够的知识。建议加纳基础学校的数学教师使用纽曼的模型作为分析学生作业的标准方法。因此,加纳教育服务局、加纳大学和教育学院在对数学教师的培训中应纳入纽曼模式。
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