Abstract
In two experiments, young and older adults solved arithmetic chain tasks with single-digit operands, with or without a concurrent memory load of three or six digits. Variables in the arithmetic tasks had to be replaced by digits from the screen or from the memory set. A task-irrelevant concurrent load impaired neither speed nor accuracy of arithmetic in younger adults. In Experiment 2, this was also true for older adults. A large decrease in arithmetic performance was observed, however, when variables in the arithmetic task had to be substituted by digits from the memory list. Older adults had specific problems with this condition in Experiment 1, where the substitution involved two successive steps, but not in Experiment 2, where the substitution from memory could be done in a single step. The results are difficult to reconcile with models assuming a common resource for storage and processing. Rather, they are compatible with the hypothesis that a concurrent memory load interferes with a processing task only during the points of access to working memory. Further, even though access to working memory was found to be the critical source of concurrent-load interference, it was found to be insensitive to the effects of adult aging.
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Anderson, J. R., &Lebiere, C. (1998).The atomic components of thought. Mahwah, NJ: Erlbaum.
Anderson, J. R., Reder, L., &Lebiere, C. (1996). Working memory: Activation limits on retrieval.Cognitive Psychology,30, 221–256.
Ashcraft, M.H., Donley, R.D., Halas, M.A., &Vakali, M. (1992). Working memory, automaticity, and problem difficulty. In J. I. D. Campbell (Ed.),The nature and origins of mathematical skill (pp. 301–329). Amsterdam: Elsevier.
Baddeley, A.D. (1986).Working memory. Oxford: Oxford University Press, Clarendon Press.
Baddeley, A. D. (1996). Exploring the central executive.Quarterly Journal of Experimental Psychology,49A, 5–28.
Baddeley, A. D., &Hitch, G. J. (1974). Working memory. In G. H. Bower (Ed.),The psychology of learning and motivation (Vol. 8, pp. 47–90). New York: Academic Press.
Belleville, S., Rouleau, N., &Caza, N. (1998). Effect of normal aging on the manipulation of information in working memory.Memory & Cognition,26, 572–583.
Carlson, R. A., Sullivan, M. A., &Schneider, W. (1989). Practice and working memory effects in building procedural skill.Journal of Experimental Psychology: Learning, Memory, & Cognition,15, 517–526.
Case, R. (1985).Intellectual development: Birth to adulthood. Orlando, FL: Academic Press.
Cerella, J. (1990). Aging and information processing rate. In J. E. Birren & K.W. Schaie (Eds.),Handbook of the psychology of aging (3rd ed., pp. 201–221). San Diego: Academic Press.
Cohen, J. D., MacWhinney, B., Flatt, M., &Provost, J. (1993). PsyScope: An interactive graphic system for designing and controlling experiments in the psychology laboratory using Macintosh computers.Behavioral Research Methods, Instruments, & Computers,25, 257–271.
Craik, F. I. M., Anderson, N. D., Kerr, S. A., &Li, K. Z. H. (1995). Memory changes in normal ageing. In A. D. Baddeley, B. A. Wilson, & F. N. Watts (Eds.),Handbook of memory disorders (pp. 211–241). Chichester, U.K.: Wiley.
Craik, F. I.M., Morris, L.W., Morris, R.G., &Loewen, E.R. (1990). Relations between source amnesia and frontal lobe functioning in older adults.Psychology & Aging,5, 148–151.
De Rammelaere, S., Stuyven, E., &Vandierendonck, A. (1999). The contribution of working memory resources in the verification of simple mental arithmetic sums.Psychological Research,62, 72–77.
Garavan, H. (1998). Serial attention within working memory.Memory & Cognition,26, 263–276.
Geary, D. C., Frensch, P.A., &Wiley, J. G. (1993). Simple and complex mental subtraction: Strategy choice and speed-of-processing differences in younger and older adults.Psychology & Aging,8, 242–256.
Geary, D. C., &Wiley, J. G. (1991). Cognitive addition: Strategy choice and speed-of-processing differences in young and elderly adults.Psychology & Aging,6, 474–483.
Hagendorf, H., &Sá, B. (1996). Coordination in visual working memory.Psychological Research,58, 294–306.
Halford, G. S., Maybery, M. T., O’Hare, A.W., &Grant, P. (1994). The development of memory and processing capacity.Child Development,65, 1338–1356.
Healy, A. (1977). Pattern coding of spatial order information in shortterm memory.Journal of Verbal Learning & Verbal Behavior,16, 419–437.
Hitch, G. J. (1978). The role of short-term working memory in mental arithmetic.Cognitive Psychology,10, 302–323.
Just, M.A., &Carpenter, P. A. (1992). A capacity theory of comprehension: Individual differences in working memory.Psychological Review,99, 122–149.
Klapp, S. T., Boches, C. A., Trabert, M. L., &Logan, G. D. (1991). Automatizing alphabet arithmetic: II. Are there practice effects after automaticity is achieved?Journal of Experimental Psychology: Learning, Memory, & Cognition,17, 196–209.
Kliegl, R., Mayr, U., &Krampe, R. T. (1994). Time—accuracy functions for determining processes and person differences: An application to cognitive aging.Cognitive Psychology,26, 134–164.
Kyllonen, P. C., &Christal, R. E. (1990). Reasoning ability is (little more than) working-memory capacity?!Intelligence,14, 389–433.
Lemaire, P., Abdi, H., &Fayol, M. (1996). The role of working memory resources in simple cognitive arithmetic.European Journal of Cognitive Psychology,8, 73–103.
Logan, G. D. (1979). On the use of a concurrent memory load to measure attention and automaticity.Journal of Experimental Psychology: Human Perception & Performance,5, 189–207.
Logan, G. D. (1980). Short-term memory demands of reaction-time tasks that differ in complexity.Journal of Experimental Psychology: Human Perception & Performance,6, 375–389.
Logie, R. H., Gilhooly, K. J., &Wynn, V. (1994). Counting on working memory in arithmetic problem solving.Memory & Cognition,22, 395–410.
Mayr, U., &Kliegl, R. (1993). Sequential and coordinative complexity: Age-based processing limitations in figural transformations.Journal of Experimental Psychology: Learning, Memory, & Cognition,19, 1297–1320.
Mayr, U., &Kliegl, R. (2000). Complex semantic processing in old age: Does it stay or does it go?Psychology & Aging,15, 29–43.
Mayr, U., Kliegl, R., &Krampe, R. T. (1996). Sequential and coordinative processing dynamics in figural transformation across the life span.Cognition,59, 61–90.
McElree, B. (1998). Attended and non-attended states in working memory: Accessing categorized structures.Journal of Memory & Language,38, 225–252.
Salthouse, T. A. (1991). Mediation of adult age differences in cognition by reductions in working memory and speed of processing.Psychological Science,2, 179–183.
Salthouse, T. A. (1994). The aging of working memory.Neuropsychology,8, 535–543.
Salthouse, T.A. (1996). The processing speed theory of adult age differences in cognition.Psychological Review,103, 403–428.
Schneider, W., &Detweiler, M. (1987). A connectionist/control architecture for working memory. In G. H. Bower (Ed.),The psychology of learning and motivation (Vol. 21, pp. 53–119). New York: Academic Press.
Shah, P., &Miyake, A. (1996). The separability of working memory resources for spatial thinking and language processing: An individual differences approach.Journal of Experimental Psychology: General,125, 4–27.
Verhaeghen, P., Kliegl, R., &Mayr, U. (1997). Sequential and coordinative complexity in time—accuracy functions for mental arithmetic.Psychology & Aging,12, 555–564.
Wechsler, D. (1964).Der Hamburg Wechsler Intelligenztest für Erwachsene (HAWIE). Bern: Huber.
West, R. L. (1996). An application of prefrontal cortex function theory to cognitive aging.Psychological Bulletin,120, 272–292.
West, R. L. (1999). Age differences in lapses of intention in the Stroop task.Journal of Gerontology: Psychological Sciences,54B, 34–43.
Wickens, C. D. (1991). Processing resources and attention. In D. L. Damos (Ed.),Multiple-task performance (pp. 3–34). London: Taylor & Francis.
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This research was funded through the Deutsche Forschungsgemeinschaft (Grant INK 12, Project C).
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Oberauer, K., Demmrich, A., Mayr, U. et al. Dissociating retention and access in working memory: An age-comparative study of mental arithmetic. Memory & Cognition 29, 18–33 (2001). https://doi.org/10.3758/BF03195737
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DOI: https://doi.org/10.3758/BF03195737