Cited by 33Cognitive and developmental aspects of mathematical skillsMathematics Education and PedagogyCognitive Abilities and Testing

Learning and solving algebra word problems: The roles of relational skills, arithmetic, and executive functioning

Lee, Kerry, Ng, Swee Fong, Bull, Rebecca·2018·Developmental Psychology

Abstract

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 (Mage = 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. (PsycINFO Database Record

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Crossref · 10.1037/dev0000561

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  • Becoming proficient in tasks that require relational thinking, in various settings, enhances performance in algebra.

    “It has been observed that becoming proficient in tasks that require relational thinking, in various settings, enhances performance in algebra [18].”

    From Third Grade Students’ Use of Relational Thinking (2021) · cites this paper as [18]

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Authors
Lee, K., Ng, S. F., & Bull, R.
Affiliations
  • Education University of Hong Kong (HK)
  • Nanyang Technological University (SG)
Venue
Developmental Psychology
Published
2018-09
Volume
54
Issue
9
Pages
1758-1772
ISSN
  • 0012-1649 (ISSN-L)
  • 1939-0599
OpenAlex
W2888908847
Cited by
33
References
50
Citations by year
2026: 4 · 2025: 5 · 2024: 3 · 2023: 7 · 2022: 4 · 2021: 4 · 2020: 4 · 2019: 2
FWCI
2.08
Type
journal article
Language
en
Open access
closed
Locations
  • Developmental Psychology (publishedVersion)
  • PubMed (publishedVersion)
  • NIE Digital Repository (National Institute of Education, Nanyang Technological University) (acceptedVersion)
Funders
  • Centre for Research in Pedagogy and Practice (8/05KL 4/07KL)
  • Office of Educational Research (2/08KL, 49/08KL)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Cognitive and developmental aspects of mathematical skills
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematics Education and Pedagogy
  • Social Sciences › Psychology › Experimental and Cognitive Psychology › Cognitive Abilities and Testing
Keywords
algebra word problems, algebra learning, relationship skills, arithmetic word problems, working memory, updating, executive function, inhibitory control, task switching, performance intelligence, mathematical development
MeSH terms
Adolescent, Child, Psychology, Child, Child, Preschool, Cross-Sectional Studies, Female, Humans, Inhibition, Psychological, Intelligence, Language, Learning, Longitudinal Studies, Male, Memory, Short-Term, Problem Solving, Mathematical Concepts, Executive Function

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