Article Accepted Manuscript

Implementing schema instruction to support young children with word problems: A systematic review [Author Accepted Manuscript]

Author(s) / Creator(s)

Hardy, Alison M.
Powell, Sarah R.
Saglam-Ak, Asuman

Abstract / Description

When young children are presented with mathematics word problems, they are asked to decode words, understand text, think critically, and perform calculations. Word problems are interdisciplinary and are known to be difficult for children across all grade levels. Schema instruction, in which children learn to solve word problems according to underlying concepts, has been identified as an evidence-based practice. Still, more attention needs to be devoted to how schema instruction impacts young children. We conducted a systematic search of experimental studies that implemented schema instruction with children in kindergarten, Grade 1, or Grade 2. In May of 2023, we conducted searches of three databases. To be included, studies had to be experimental (i.e., randomized-controlled trials, quasi-experiments, or single-case design) and peer reviewed or dissertations. Moreover, studies had to measure the impact of schema instruction on the word-problem performance of children in kindergarten, Grade 1, or Grade 2. Ultimately, we identified and included 13 studies with participants in Grades 1 and 2 (n ~ 2,100). Overall, schema instruction positively impacted word-problem outcomes. Common instructional components included: (a) systematic and explicit instruction on word-problem schemas; (b) diagrams, meta-equations, and gesturing; (c) the use of a problem-solving heuristic; (d) inclusion of numberless or intact story problems and isolated practice with identifying schemas; (e) explicit instruction on mathematics and word-problem specific vocabulary; (f) incorporating concrete or virtual manipulatives and a fact fluency component; and (g) the inclusion of a self-monitoring behavior component.

Keyword(s)

Schema instruction word problems intervention elementary

Persistent Identifier

Date of first publication

2026-01-12

Journal title

Journal of Numerical Cognition

Publisher

PsychArchives

Publication status

acceptedVersion

Review status

reviewed

Is version of

Citation

Hardy, A. M., Powell, S. R., & Saglam-Ak, A. (in press). Implementing schema instruction to support young children with word problems: A systematic review [Author Accepted Manuscript]. Journal of Numerical Cognition. https://doi.org/10.23668/psycharchives.21571
  • Author(s) / Creator(s)
    Hardy, Alison M.
  • Author(s) / Creator(s)
    Powell, Sarah R.
  • Author(s) / Creator(s)
    Saglam-Ak, Asuman
  • PsychArchives acquisition timestamp
    2026-01-12T15:42:31Z
  • Made available on
    2026-01-12T15:42:31Z
  • Date of first publication
    2026-01-12
  • Abstract / Description
    When young children are presented with mathematics word problems, they are asked to decode words, understand text, think critically, and perform calculations. Word problems are interdisciplinary and are known to be difficult for children across all grade levels. Schema instruction, in which children learn to solve word problems according to underlying concepts, has been identified as an evidence-based practice. Still, more attention needs to be devoted to how schema instruction impacts young children. We conducted a systematic search of experimental studies that implemented schema instruction with children in kindergarten, Grade 1, or Grade 2. In May of 2023, we conducted searches of three databases. To be included, studies had to be experimental (i.e., randomized-controlled trials, quasi-experiments, or single-case design) and peer reviewed or dissertations. Moreover, studies had to measure the impact of schema instruction on the word-problem performance of children in kindergarten, Grade 1, or Grade 2. Ultimately, we identified and included 13 studies with participants in Grades 1 and 2 (n ~ 2,100). Overall, schema instruction positively impacted word-problem outcomes. Common instructional components included: (a) systematic and explicit instruction on word-problem schemas; (b) diagrams, meta-equations, and gesturing; (c) the use of a problem-solving heuristic; (d) inclusion of numberless or intact story problems and isolated practice with identifying schemas; (e) explicit instruction on mathematics and word-problem specific vocabulary; (f) incorporating concrete or virtual manipulatives and a fact fluency component; and (g) the inclusion of a self-monitoring behavior component.
    en
  • Publication status
    acceptedVersion
  • Review status
    reviewed
  • Citation
    Hardy, A. M., Powell, S. R., & Saglam-Ak, A. (in press). Implementing schema instruction to support young children with word problems: A systematic review [Author Accepted Manuscript]. Journal of Numerical Cognition. https://doi.org/10.23668/psycharchives.21571
  • ISSN
    2363-8761
  • Persistent Identifier
    https://hdl.handle.net/20.500.12034/16955
  • Persistent Identifier
    https://doi.org/10.23668/psycharchives.21571
  • Language of content
    eng
  • Publisher
    PsychArchives
  • Is version of
    https://doi.org/10.5964/jnc.17649
  • Keyword(s)
    Schema instruction
  • Keyword(s)
    word problems
  • Keyword(s)
    intervention
  • Keyword(s)
    elementary
  • Dewey Decimal Classification number(s)
    150
  • Title
    Implementing schema instruction to support young children with word problems: A systematic review [Author Accepted Manuscript]
    en
  • DRO type
    article
  • Journal title
    Journal of Numerical Cognition
  • Visible tag(s)
    PsychOpen GOLD
  • Visible tag(s)
    Accepted Manuscript