调查八年级学生在简单的直观表达和代数表达中的错误和误解

Osman Birgin, Kayhan Demirören
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引用次数: 3

摘要

摘要本研究旨在探讨八年级学生在视觉与代数表达上的错误与误解。该研究小组由120名在Afyonkarahisar省上八年级的中学生组成。数据是通过代数测试收集的,包括多项选择题和四个书面回答问题,这些问题要求用简单的视觉和形状模式进行代数表达。数据分析采用描述性分析和内容分析。研究结果确定,不能建立代数与几何形状关系的学生在理解代数表达式方面存在困难,不能从图形过渡到代数方程。此外,还发现学生在简单直观表达式和代数表达式上的错误是由代数运算选择错误、忽略代数表达式中的括号、对形状模式的误解以及算术运算错误造成的。为了促进从算术到代数的过渡,建议在代数教学中使用更多可感知的材料和视觉效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Sekizinci Sınıf Öğrencilerinin Basit Görsel ve Cebirsel İfadeler Konusundaki Hata ve Kavram Yanılgılarının İncelenmesi
The aim of this study is to examine the errors and misconceptions of 8th-grade students on visual and algebraic expressions. The study group consists of 120 middle school students studying in the eighth grade in Afyonkarahisar province. Data were collected with an algebra test consisting of multiple-choice and four written answers question that require an algebraic expression of simple visual and shape patterns. Data were analyzed with descriptive and content analysis. As a result of the research, it was determined that students who could not establish a relationship between algebra and geometric shape had difficulty in understanding algebraic expressions and could not transit from the pattern to the algebraic equation. In addition, it was observed that the errors in simple visual and algebraic expressions of the students were caused by incorrect algebraic operation selection, ignoring parentheses in algebraic expressions, misinterpreting the shape pattern, and arithmetic operation error. In order to facilitate the transition from arithmetic to algebra, it is recommended to use more perceptible materials and visuals in algebra teaching.
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