Transfer of training in alphabet arithmetic.

In recent years, several researchers have proposed that skilled adults may solve single-digit addition problems (e.g., 3 + 1 = 4, 4 + 3 = 7) using a fast counting procedure. Practicing a procedure, however, often leads to transfer of learning to unpracticed items; consequently, the fast counting the...

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Publicado en:Memory & Cognition Vol. 44; no. 8; pp. 1288 - 1301
Autores principales: Campbell, Jamie, Chen, Yalin, Allen, Kurtis, Beech, Leah
Formato: Artículo
Publicado: Springer Nature Nov2016
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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          Campbell, Jamie
          Chen, Yalin
          Allen, Kurtis
          Beech, Leah
        affil: Department of Psychology , University of Saskatchewan , 9 Campus Drive Saskatoon Canada S7N 5A5
      su:
        Learning
        Problem solving
        Mathematics
        Transfer of training
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        subj:
          Learning
          Problem solving
          Mathematics
          Transfer of training
      keyword:
        Addition
        Counting
        Procedures
        Addition
        Counting
        Procedures
      ab: In recent years, several researchers have proposed that skilled adults may solve single-digit addition problems (e.g., 3 + 1 = 4, 4 + 3 = 7) using a fast counting procedure. Practicing a procedure, however, often leads to transfer of learning to unpracticed items; consequently, the fast counting theory was potentially challenged by subsequent studies that found no generalization of practice for simple addition. In two experiments reported here ( Ns = 48), we examined generalization in an alphabet arithmetic task (e.g., B + 5 = C D E F G) to determine that counting-based procedures do produce generalization. Both experiments showed robust generalization (i.e., faster response times relative to control problems) when a test problem's letter augend and answer letter sequence overlapped with practiced problems (e.g., practice B + 5 = C D E F G, test B + 3 = C D E ). In Experiment 2, test items with an unpracticed letter but whose answer was in a practiced letter sequence (e.g., practice C + 3 = DE F, test D + 2 = E F) also displayed generalization. Reanalysis of previously published addition generalization experiments (combined n = 172) found no evidence of facilitation when problems were preceded by problems with a matching augend and counting sequence. The clear presence of generalization in counting-based alphabet arithmetic, and the absence of generalization of practice effects in genuine addition, represent a challenge to fast counting theories of skilled adults' simple addition.
      pubtype: Academic Journal
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    language: English
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