Learning and Solving Algebra Word Problems: The Roles of Relational Skills, Arithmetic, and Executive Functioning.

Although algebra is a prerequisite for higher mathematics, few studies have examined the mathematical and cognitive capabilities that contribute to the development of algebra word problems solving skills. We examined changes in these relations from second to ninth grades. Using a cross-sequential de...

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Publicado en:Developmental Psychology Vol. 54; no. 9; pp. 1758 - 1773
Autores principales: Lee, Kerry, Swee Fong Ng, Bull, Rebecca
Formato: Artículo
Publicado: American Psychological Association Sep2018
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Sep2018
      vid: 54
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      pub: American Psychological Association
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        10.1037/dev0000561
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        atl: Learning and Solving Algebra Word Problems: The Roles of Relational Skills, Arithmetic, and Executive Functioning.
      aug:
        au:
          Lee, Kerry
          Swee Fong Ng
          Bull, Rebecca
        affil:
          Education University of Hong Kong
          Nanyang Technological University
      su:
        Child behavior
        Cognition
        Intellect
        Problem solving
        Psychology
        Psychology of school children
        Task performance
        Cross-sectional method
        Executive function
        Longitudinal method
        Mathematical models
        Mathematics
        Short-term memory
        National competency-based educational tests
        Evaluation
      sug:
        subj:
          Child behavior
          Cognition
          Intellect
          Problem solving
          Psychology
          Psychology of school children
          Task performance
          Cross-sectional method
          Executive function
          Longitudinal method
          Mathematical models
          Mathematics
          Short-term memory
          National competency-based educational tests
          Evaluation
      keyword:
        arithmetic word problems
        individual differences
        longitudinal tracking
        mathematical patterning skills
        working memory
        arithmetic word problems
        individual differences
        longitudinal tracking
        mathematical patterning skills
        working memory
      ab: Although algebra is a prerequisite for higher mathematics, few studies have examined the mathematical and cognitive capabilities that contribute to the development of algebra word problems solving skills. We examined changes in these relations from second to ninth grades. Using a cross-sequential design that spanned 4 years, children from 3 cohorts (Afage = 7.85, 10.05, and 12.32) were administered annual tests of algebra word problems, mathematical skills (mathematical relational tasks, arithmetic word problems), and cognitive capabilities (working memory, updating, inhibitory, task switching, and performance intelligence). The cross-sectional findings showed that ability to solve mathematical relational problems was associated strongly with performance in algebra word problems. Working memory and updating explained variance in the relational, but not the algebra problems. Using an autoregressive cross-lagged model with structured residuals to analyze the longitudinal data, we found relational and arithmetic performance predicted independently algebra performance from one year to the next. The strength of these relations was consistent across grades. These findings point to the importance of developing skills in relational problems as one of the tools for improving algebra performance.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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