Retrieval-induced forgetting of multiplication facts and identity rule.

This research investigated retrieval-induced interference between counterpart multiplication (2 × 3 = 6) and addition facts (2 + 3 = 5). Adults (N =72) repeatedly solved either a set of simple addition (0 + 2, 1 + 5, 2 + 3) or multiplication problems (0 × 2, 1 × 5, 2 × 3) during a practice phase and...

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Publicado en:Memory & Cognition Vol. 43; no. 4; pp. 672 - 681
Autores principales: Campbell, Jamie, Dufour, Kate, Chen, Yalin
Formato: Artículo
Publicado: Springer Nature May2015
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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          Campbell, Jamie
          Dufour, Kate
          Chen, Yalin
        affil: Department of Psychology, University of Saskatchewan, 9 Campus Drive Saskatoon Canada S7N 5A5
      su:
        Saskatchewan
        Analysis of variance
        Cognition
        College students
        Memory
        Confidence intervals
        Mathematics
        Research funding
        Effect sizes (Statistics)
        Data analysis software
        Descriptive statistics
      sug:
        subj:
          Analysis of variance
          Cognition
          College students
          Memory
          Saskatchewan
          Confidence intervals
          Mathematics
          Research funding
          Effect sizes (Statistics)
          Data analysis software
          Descriptive statistics
      keyword:
        Addition
        Mathematical cognition
        Multiplication
        Procedure
        Retrieval-induced forgetting
        Addition
        Mathematical cognition
        Multiplication
        Procedure
        Retrieval-induced forgetting
      ab: This research investigated retrieval-induced interference between counterpart multiplication (2 × 3 = 6) and addition facts (2 + 3 = 5). Adults (N =72) repeatedly solved either a set of simple addition (0 + 2, 1 + 5, 2 + 3) or multiplication problems (0 × 2, 1 × 5, 2 × 3) during a practice phase and then switched operations during a test phase that included counterparts to the practiced problems and control problems. The paradigm afforded measurement in response time both of inter-operation retrieval-induced forgetting (RIF) and generalization of practice across different problems within operations. The experiment demonstrated generalization of practice for the rule-based 0 + N = N problems (e.g., practicing 0 + 2 facilitated performance on 0 + 7) as well as for problems governed by the multiplicative identity principle (1 × N = N) and zero-product principle (0 × N = 0), but not the fact-based 1 + N problems. The experiment also demonstrated for the first time inter-operation RIF of fact-based multiplication, which was as large as the effect observed for fact-based addition. The 0 × N, 0 + N, and 1 + N problems did not present item-specific RIF from practice of cross-operation counterparts, but 1 × N problems did, despite the generalization-of-practice evidence that 1 × N problems were solved using an item-general procedure. The item-specific RIF for 1 × N = N must reflect item-specific interference rather than item-level competitor inhibition given that there is no item-level representation of 1 × N = N facts in long-term memory.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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