Effects of multiple representations-based instruction on junior high school students’ achievement in linear equations in one variable

Philemon Mgnabil Tijotob, Romuald Koffi Mifetu, Richmond Adu - Gyamfi
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引用次数: 1

Abstract

The study investigated teachers' mode of representations in linear equations in one variable, what accounts for teachers' choice of representations and students' representations preferences and effects of multiple representations--based instruction on studStud' achievement in linear equations in one variable. A quasi- experimental design was used with a sample size of 86 mathematics teachers and 159 students ( students in Junior High School 2) selected through purposive and convenient sampling technique respectively in the Bimbilla Municipal in the Northern Region of Ghana. The research instructions included: linear equations achievement test (pretest and post test, questionnaire, representations preference test ( RPT) and interview guide. The  data collected we're analysed quantitatively and qualitatively. It was found that most teachers (66.3%) used algebraic expression everytime on teaching linear equations while few teachers used manipulatives, graphic and multiple representations due to reasons such as time, difficulty for students, lack of materials, lack of ideas,no relevance and many more. It was also found that most students 59(37.1%) had  preferences for algebraic representation citing similar reasons of their preferences as what accounted for teachers' choice. The analysis of Covariance (ANCOVA) revealed a statistical significant difference between students' scores in linear equations achievement test in favour of multiple representations-based instructions, F(2,155)=10.20, P 0.05, n^2= 12. The major recommendation is that, multiple representations--based instruction should be used during instruction as well as improving teachers' knowledge on how to integrate untamunfam representations easily in linear equations in one variable.
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多元表征教学对初中生单变量线性方程成绩的影响
本研究考察了教师在单变量线性方程中的表征方式、教师对表征的选择和学生对表征的偏好以及多元表征教学对studStud在单变量线性方程中的成就的影响。采用准实验设计,通过有目的和方便抽样的方法,在加纳北部地区宾比拉市分别选取了86名数学教师和159名学生(初中二年级学生)作为样本。研究指导包括:线性方程成就测试(前测和后测)、问卷调查、表征偏好测试(RPT)和访谈指南。我们对收集到的数据进行了定量和定性分析。研究发现,在线性方程教学中,绝大多数教师(66.3%)每次都使用代数表达式,而由于时间、学生难度、缺乏材料、缺乏思路、缺乏相关性等原因,很少有教师使用教具、图形和多重表示。研究还发现,大多数学生59(37.1%)偏爱代数表示,他们的偏好原因与教师的选择相似。协方差分析(ANCOVA)显示,多元表征型教学与线性方程成就测验的差异有统计学意义,F(2155)=10.20, P < 0.05, n^2= 12。主要的建议是,在教学过程中应该使用基于多个表示的教学,并提高教师如何在一个变量的线性方程中轻松地整合不熟悉的表示的知识。
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