言语算术问题思维可逆性量表的验证

Q3 Multidisciplinary
Beatriz Sánchez-Barbero, María José Cáceres, J. Chamoso
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引用次数: 0

摘要

背景:可逆性是理解和发展数学思维的一个关键概念。人们一致认为,解决问题是数学能力的基本组成部分,一些作者将可逆思维视为其要求。目的:我们希望验证一种在解决涉及各种运算的口头算术问题(单词问题)时评估思维可逆性的工具,语义数学结构和情境信息的接近性。设计:根据专家获得的数据进行定性研究,并进行定量研究以确定仪器的有效性和可靠性。背景和参与者:318名来自西班牙不同学校的学生参加了小学教育(6至12岁)。数据收集和分析:参与者执行了180项数学任务,分布在三个理论量表、两个运算和四个语义配置上。结果:为了确定数据的一致性,在全球范围内对每个量表进行了可靠性分析,所有值都大于0.90。探索性因素分析得出三个因素,解释率超过70%。为了分析该工具的有效性,进行了验证性因素分析,其指标显示出对模型的调整。结论:我们认为所设计的工具足够强大,可以评估基本加减运算的可逆性,此外,还可以根据语义数学结构及其情境背景分析单词问题的辨别能力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Validation of a Scale to Assess the Reversibility of Thought in Verbal Arithmetic Problems
Background : Reversibility is a key concept for the understanding and development of mathematical thinking. There is an agreement regarding problem-solving as a fundamental part of mathematical competence, and some authors regard reversible thinking as a requirement for it. Objectives : We want to validate an instrument that assesses the reversibility of thought when solving verbal arithmetic problems (word problems) involving various operations, semantic-mathematical structures and proximity of situational information. Design : A qualitative study was carried out from the data obtained by experts, and a quantitative study was carried out to determine the validity and reliability of the instrument. Setting and Participants : 318 students from different Spanish schools attending primary education (6 to 12 years) participated. Data collection and analysis: Participants performed 180 mathematical tasks distributed over three theoretical scales, two operations, and four semantic configurations. Results: To determine the consistency of the data, a reliability analysis was performed globally and on each of the scales, all values being greater than 0.90. Exploratory factor analysis resulted in three factors that explained more than 70%. To analyse the validity of the instrument, confirmatory factor analysis was performed, and its indices showed an adjustment of the models. Conclusions : We consider that the designed instrument is sufficiently robust to assess the reversibility of the basic addition and subtraction operations and, in addition, to analyse the discrimination of word problems according to the semantic-mathematical structure and their situational context.
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来源期刊
Acta Scientiae
Acta Scientiae Multidisciplinary-Multidisciplinary
CiteScore
0.70
自引率
0.00%
发文量
43
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