Evaluation of procedural and conceptual knowledge of mathematical functions: A case study from Morocco

Safâ Qetrani, N. Achtaich
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Abstract

To measure the procedural and conceptual knowledge of functions and to clarify the relationship between them in the context of mathematics education in Morocco, a structural equation modeling (SEM) analysis was used. In addition, correlation tests between students’ grades at their Mathematical Analysis Assessments and their procedural and conceptual knowledge of functions scores were established to investigate whether students' grades mainly reflect their performance on procedural knowledge or conceptual knowledge. The sample consisted of 337 high school Moroccan students. The study findings indicated that a large group of participants scored high in procedural tasks but low in conceptual tasks. Besides, the participants’ grades in their exams correlate much more strongly with the estimated procedural knowledge scores than the estimated conceptual knowledge scores. On the other hand, the confirmatory factor analysis of the SEM confirmed the reliability, validity, and fitness of the measurement model, whereas the path analysis of the SEM supports the genetic view causal relationship that procedural knowledge of functions is necessary but not sufficient condition for conceptual knowledge. These results provide a theoretical foundation for improving mathematics education by working on the content of the assessments, the teachers’ teaching approaches, and the students’ learning strategies.
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数学函数的程序性和概念性知识的评估:来自摩洛哥的案例研究
为了测量函数的程序和概念知识,并澄清在摩洛哥数学教育背景下它们之间的关系,使用了结构方程建模(SEM)分析。此外,建立了学生数学分析评估成绩与功能程序知识和概念知识成绩的相关检验,考察学生的成绩主要反映的是程序知识还是概念知识的表现。样本由337名摩洛哥高中生组成。研究结果表明,大部分参与者在程序性任务中得分较高,但在概念性任务中得分较低。此外,参与者的考试成绩与程序性知识的估计分数的相关性比与概念性知识的估计分数的相关性强得多。另一方面,扫描电镜的验证性因子分析证实了测量模型的信度、效度和适应度,而扫描电镜的通径分析支持遗传观点的因果关系,即功能的程序性知识是概念性知识的必要条件,但不是充分条件。这些结果为从评价内容、教师的教学方法和学生的学习策略等方面改进数学教育提供了理论基础。
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来源期刊
Journal on Mathematics Education
Journal on Mathematics Education Mathematics-Mathematics (all)
CiteScore
4.20
自引率
0.00%
发文量
13
审稿时长
10 weeks
期刊最新文献
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