The hierarchical relations among mathematical competencies: From fundamental numeracy to complex mathematical skills.

IF 1.1 4区心理学 Q4 PSYCHOLOGY, EXPERIMENTAL Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale Pub Date : 2023-12-01 Epub Date: 2023-08-10 DOI:10.1037/cep0000311

Chang Xu, Sabrina Di Lonardo Burr, Jo-Anne LeFevre

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Abstract

Mathematical competencies can be conceptualized as layers of knowledge, with numeracy skills as the foundational core and more complex mathematical skills as the additional layers over the core. In this study, we tested an expanded hierarchical symbol integration (HSI) model by examining the hierarchical relations among mathematical skills. Undergraduate students (N = 236) completed order judgement, simple arithmetic, fraction arithmetic, algebra, and verbal working memory tasks. In a series of hierarchical multiple regressions, we found support for the hierarchical model: Additive skills (i.e., addition and subtraction) predicted unique variance in multiplicative skills (i.e., multiplication and division); multiplicative skills predicted unique variance in fraction arithmetic; and fraction skills predicted unique variance in algebra. These results support the framework of the HSI model in which mathematical competencies are related hierarchically, capturing the increasing complexity of symbolic mathematical skills. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

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数学能力的层次关系:从基本的数学能力到复杂的数学技能。

数学能力可以被定义为知识层，计算技能是基础核心，更复杂的数学技能是核心之上的附加层。在本研究中，我们通过考察数学技能之间的层次关系来检验一个扩展的层次符号整合(HSI)模型。236名大学生完成顺序判断、简单算术、分数算术、代数和言语工作记忆任务。在一系列的层次多元回归中，我们发现了对层次模型的支持:加性技能(即加减法)预测了乘法技能(即乘法和除法)的唯一方差;乘法技能预测分数算术的唯一方差;分数技巧预示着代数的独特变化。这些结果支持HSI模型的框架，其中数学能力是分层相关的，捕捉到符号数学技能日益增加的复杂性。(PsycInfo数据库记录(c) 2023 APA，版权所有)。

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来源期刊

Canadian Journal of Experimental Psychology-Revue Canadienne De Psychologie Experimentale PSYCHOLOGY, EXPERIMENTAL-

CiteScore

2.30

自引率

7.70%

发文量

期刊介绍： The Canadian Journal of Experimental Psychology publishes original research papers that advance understanding of the field of experimental psychology, broadly considered. This includes, but is not restricted to, cognition, perception, motor performance, attention, memory, learning, language, decision making, development, comparative psychology, and neuroscience. The journal publishes - papers reporting empirical results that advance knowledge in a particular research area; - papers describing theoretical, methodological, or conceptual advances that are relevant to the interpretation of empirical evidence in the field; - brief reports (less than 2,500 words for the main text) that describe new results or analyses with clear theoretical or methodological import.