Effect of Metacognitive Awareness on Students’ Achievement in Mathematics in Public Secondary Schools in Kitui County, Kenya

Dr. Kithinji Rugendo, Dr. Rose Mugwiria
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Abstract

Deep conceptual understanding enables learners to transfer new knowledge into new situations and apply it in new contexts. Individuals’ understandings of their thought processes as well as monitoring their progress is fundamental for deepening learners’ understanding and that may lead to improved performance. The overall students’ performance in mathematics at the Kenya Certificate of Secondary Education (KCSE) has been low compared to other subjects. Students’ knowledge of facts and skills need to occur in the context of a meaningful and conceptual framework of subject matter that deepens learners’ understanding. The purpose of the study was to investigate effect of Metacognitive awareness on secondary school students’ achievement in mathematics. The Research employed a Quasi-experimental design and in particular Solomon, Four Design. A stratified random sampling technique was used to draw four boys’ and four girls’ extra county participating secondary schools. Assignment of the four schools in each category to either experimental or control group was done through simple random sampling. A sample size of 360 Form three students was used. Students in the experimental groups were taught Formulae and Variations using Metacognitive IMPROVE programme while control groups were taught the same topic using Conventional Teaching Approach (CTA). The instrument for data collection used was metacognitive Awareness Inventory Questionnaire (MAIQ). The overall reliability coefficient of MAIQ using Cronbach alpha obtained was 0.754. Data were analyzed using descriptive statistics (mean, percentages and Standard Deviation) and inferential statistics (test, one-way ANOVA and Post hoc Analysis). The hypotheses was tested at 0.05 level of significance. Data analysis was undertaken with the help of Statistical Package for Social Sciences (SPSS) version 25.0 software. The results showed that students’ Metacognitive awareness resulted to students’ development of the skills of planning, monitoring and evaluating about their own cognitive activities and monitoring the approach they expected to be important for problem solving. The study recommends that teachers should organize the course contents to increase cognitive awareness of the students. Higher cognitive awareness demonstrates high levels of mathematics achievement therefore teacher proficiency need to be adjusted for better teaching and learning.
元认知意识对肯尼亚基图伊县公立中学学生数学成绩的影响
深刻的概念理解使学习者能够将新知识转移到新情况中并将其应用于新环境中。个人对自己思维过程的理解以及监控自己的进步是加深学习者理解的基础,这可能会提高学习者的表现。与其他科目相比,肯尼亚中学教育证书(KCSE)中学生在数学方面的整体表现较低。学生对事实和技能的认识需要发生在主题的有意义和概念性框架的背景下,以加深学习者的理解。摘要本研究旨在探讨元认知意识对中学生数学成绩的影响。本研究采用准实验设计,特别是所罗门四设计。采用分层随机抽样的方法,分别抽取4所男生和4所女生县外参与中学。采用简单随机抽样的方法,将每一类四所学校分为实验组和对照组。本研究的样本为360名中三学生。实验组学生采用元认知改进程序进行公式和变型教学,对照组学生采用常规教学方法进行相同主题的教学。数据收集工具为元认知意识问卷(MAIQ)。采用Cronbach alpha得到的MAIQ总体信度系数为0.754。采用描述性统计(平均值、百分比和标准差)和推理统计(检验、单因素方差分析和事后分析)对数据进行分析。假设在0.05显著性水平上进行检验。数据分析使用SPSS 25.0版统计软件包进行。结果表明,学生的元认知意识导致了学生对自己的认知活动的计划、监控和评估技能的发展,以及对他们认为对问题解决很重要的方法的监控。本研究建议教师组织课程内容,以提高学生的认知意识。较高的认知意识表明较高的数学成就水平,因此教师的熟练程度需要调整,以更好地教与学。
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