AN ALGEBRAIC THINKING SKILL TEST IN PROBLEM-SOLVING FOR SEVENTH GRADERS

IF 0.8 Q3 EDUCATION & EDUCATIONAL RESEARCH

Problems of Education in the 21st Century Pub Date : 2023-04-20 DOI:10.33225//pec/23.81.223

Janet Jahudin, N. M. Siew

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引用次数: 1

Abstract

Diagnostic tests have been developed previously to measure algebraic thinking skills; however, the tests do not specifically address algebraic problem-solving. Thus, an Algebraic Thinking Test (ATT) Instrument was developed to measure algebraic thinking skills in problem-solving involving linear equations. ATT comprises nine open-ended questions with three algebraic thinking constructs: Generalized Arithmetic, Functions and Modeling. Generalized arithmetic involves students in efficient calculation and generalization; functional involves identifying number patterns, while modelling involves solving open-ended problems, identifying similarities, and performing calculations involving variables. This study is meant to determine the quality of ATT instruments through the validity and reliability analysis using the Rasch Measurement Model. The sample consisted of 120 seventh graders aged 12 to 13, selected from two secondary schools in the Tuaran district, Malaysia. The instrument was found to have a strong dimensionality and high construct validity. The reliability of Cronbach Alpha (KR-20) demonstrated a value of .90 (very high), and item and respondent reliability of .98 (excellent) and .86 (good), respectively, with an item separation index of 6.29 and 2.45 for the person separation index. ATT has good validity and high reliability in measuring algebraic thinking skills among seventh graders in secondary schools. Keywords: algebraic thinking skills, linear equations, problem-solving, Rasch analysis, validity and reliability

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七年级学生解决问题的代数思维能力测试

以前已经开发了诊断测试来衡量代数思维能力；然而，这些测试并没有专门解决代数问题。因此，开发了一种代数思维测试（ATT）工具，用于测量涉及线性方程的问题解决中的代数思维技能。ATT由九个开放式问题组成，有三个代数思维结构：广义算术、函数和建模。广义算术让学生参与有效的计算和概括；函数涉及识别数字模式，而建模涉及解决开放式问题、识别相似性和执行涉及变量的计算。本研究旨在通过使用Rasch测量模型的有效性和可靠性分析来确定ATT仪器的质量。样本包括120名年龄在12至13岁之间的七年级学生，他们来自马来西亚都兰区的两所中学。该工具被发现具有很强的维度和很高的结构有效性。Cronbach Alpha（KR-20）的信度值为0.90（非常高），项目和受访者的信度分别为.98（优秀）和.86（良好），个人分离指数的项目分离指数为6.29和2.45。ATT在测量中学七年级学生代数思维能力方面具有良好的有效性和高可靠性。关键词：代数思维能力，线性方程组，解决问题，Rasch分析，有效性和可靠性

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来源期刊

Problems of Education in the 21st Century EDUCATION & EDUCATIONAL RESEARCH-

自引率

14.30%

发文量

期刊介绍： Problems of Education in the 21st Century is an international, periodical scientific journal publishing original research across the whole of education. The journal''s Editorial Board and staff are committed to building PEC into the leading scientific journal in its field by publishing articles of outstanding scientific quality that merit the attention and interest of the whole educational community.