Serial Subtraction Errors Revealed

A fine-grained analysis of errors and their frequency during the performance of a mental multi-digit serial subtraction task reveals the cognitive processes most prone to failure. Example serial subtraction problems from the experimental problem set are utilized in illustrating different types of errors and their probable causes. A list of considerations is presented for future descriptive and computational modeling of the errors committed during performance of the task.

[1]  M. Ashcraft,et al.  The relationships among working memory, math anxiety, and performance. , 2001, Journal of experimental psychology. General.

[2]  D. Geary,et al.  Simple and complex mental subtraction: strategy choice and speed-of-processing differences in younger and older adults. , 1993, Psychology and aging.

[3]  Sue E. Kase Parallel genetic algorithm optimization of a cognitive model: investigating group and individual performance on a math stressor task , 2008 .

[4]  P Cormier,et al.  A componential model for mental addition. , 1989, Journal of experimental psychology. Learning, memory, and cognition.

[5]  Fürst Aj,et al.  The role of working memory in mental arithmetic. , 1998 .

[6]  Mark H. Ashcraft,et al.  Evidence for retrieval and decision processes in mental addition , 1978 .

[7]  C. Kirschbaum,et al.  The 'Trier Social Stress Test'--a tool for investigating psychobiological stress responses in a laboratory setting. , 1993, Neuropsychobiology.

[8]  G. Hitch The role of short-term working memory in mental arithmetic , 1978, Cognitive Psychology.

[9]  M. D’Esposito Working memory. , 2008, Handbook of clinical neurology.

[10]  Sarah E. MacPherson,et al.  Concurrent performance of two memory tasks: Evidence for domain-specific working memory systems , 2002, Memory & cognition.

[11]  G. Hitch,et al.  Separate roles for executive and phonological components of working memory in mental arithmetic , 2000, Memory & cognition.

[12]  M. Ashcraft Cognitive arithmetic: A review of data and theory , 1992, Cognition.

[13]  Jamie I. D. Campbell Architectures for numerical cognition , 1994, Cognition.

[14]  T. Salthouse,et al.  Decomposing adult age differences in working memory. , 1991 .

[15]  Jamie I. D. Campbell,et al.  Conditions of error priming in number-fact retrieval , 1991, Memory & cognition.