The Hierarchical Relations Among Mathematical Competencies: From Fundamental Numeracy to Complex Mathematical Skills.

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 hierarc...

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Publicado en:Canadian Journal of Experimental Psychology / Revue Canadienne de Psychologie Expérimentale Vol. 77; no. 4; pp. 284 - 296
Autores principales: Chang Xu, Di Lonardo Burr, Sabrina, LeFevre, Jo-Anne
Formato: Artículo
Publicado: Canadian Psychological Association Dec2023
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Acceso en línea:Ver este registro en EBSCOhost
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      dt: Dec2023
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      pub: Canadian Psychological Association
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        atl: The Hierarchical Relations Among Mathematical Competencies: From Fundamental Numeracy to Complex Mathematical Skills.
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          Chang Xu
          Di Lonardo Burr, Sabrina
          LeFevre, Jo-Anne
        affil:
          School of Psychology, Queen's University Belfast
          Department of Psychology, Carleton University
          Department of Psychology, University of British Columbia
          Department of Cognitive Science, Carleton University
      su:
        Problem solving
        Judgment (Psychology)
        Cognition
        Intellect
        Regression analysis
        Mathematics
        Descriptive statistics
        Hypothesis
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        subj:
          Problem solving
          Judgment (Psychology)
          Cognition
          Intellect
          Regression analysis
          Mathematics
          Descriptive statistics
          Hypothesis
      keyword:
        algebra
        arithmetic
        fractions
        mathematics
        symbol integration
        algèbre
        arithmétique
        intégration de symboles
        mathématiques
        algebra
        arithmetic
        fractions
        mathematics
        symbol integration
        algèbre
        arithmétique
        intégration de symboles
        mathématiques
      ab: 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.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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