Smart Errors in Learning Multidigit Number Meanings.

Children's early accuracy on place value (PV) tasks longitudinally predicts their later multidigit calculation skills. However, another window into children's emerging base-ten concepts is the pattern of errors – "smart errors" – they exhibit on these measures. Past research has speculated that thes...

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Publicado en:Journal of Cognition & Development Vol. 25; no. 4; pp. 487 - 511
Autores principales: Bower, Corinne A., Mix, Kelly S., Hancock, Gregory R., Yuan, Lei, Smith, Linda B.
Formato: Artículo
Publicado: Taylor & Francis Ltd 2024
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: 2024
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      pub: Taylor & Francis Ltd
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        178651408
        10.1080/15248372.2024.2338722
      ppf: 487
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        atl: Smart Errors in Learning Multidigit Number Meanings.
      aug:
        au:
          Bower, Corinne A.
          Mix, Kelly S.
          Hancock, Gregory R.
          Yuan, Lei
          Smith, Linda B.
        affil:
          California State University, Los Angeles
          University of Maryland-College Park
          University of Colorado, Boulder
          Indiana University-Bloomington
          University East Anglia
      su:
        Learning
        Kindergarten children
        Transcoding
        Counting
        Electrochromic windows
      sug:
        subj:
          Learning
          Kindergarten children
          Transcoding
          Counting
          Electrochromic windows
      ab: Children's early accuracy on place value (PV) tasks longitudinally predicts their later multidigit calculation skills. However, another window into children's emerging base-ten concepts is the pattern of errors – "smart errors" – they exhibit on these measures. Past research has speculated that these smart errors – similar to invented spelling – might reflect children's initial PV understanding that might be important for later learning of multidigit numbers and calculation. The current study examines the development of smart errors on Base-Ten Counting (invented counting errors) and Transcoding (expanded errors) in 279 U.S. kindergartners (M = 5.76 years) and investigated whether the presence of smart errors is associated with 1) higher concurrent levels of PV task accuracy, 2) greater growth in PV understanding over one year, 3) higher levels of multidigit calculation in second grade. Results indicate that the two errors emerged in an overlapping waves pattern, with expanded errors appearing first and waning earlier than invented counting errors. Kindergartners who made invented counting errors but not expanded errors demonstrated the highest overall concurrent PV understanding. Second, kindergartners who made Transcoding expanded errors showed the greatest growth in PV understanding compared to those who exhibited only invented-counting errors. Third, kindergartners who made invented counting errors alone showed stronger multidigit calculation skills in second grade compared to those who made neither error. Thus, these smart errors reflect partial structural knowledge of place value that is a potentially important developmental contributor to learning multidigit number meanings.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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