1966
DOI: 10.3758/bf03327962
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An information processing analysis of mental multiplication

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Cited by 43 publications
(22 citation statements)
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“…There are 12 such studies, which we divide into a primary group of 5 (Fryer, 1941;Karpf, 1973;Roth, 1966;Walker, 1982;Wegner, cited in Merz, 1969) and a secondary group of 7 (Carroll & Payne, 1977;Dansereau, 1969;Dansereau & Gregg, 1966;Feldman, 1959;Johnson & Russo, 1978;Kazdin, 1976;Smead, Wilcox, & Wilkes, 1981). To the primary group we add Fidler (1983) and Schweiger (1983), which were not available to Ericsson and Simon. In the primary studies, the test for reactivity (and other aspects of protocol performance) was not an incidental check, but an important methodological goal.…”
Section: Reactmty: Existing Evidencementioning
confidence: 99%
“…There are 12 such studies, which we divide into a primary group of 5 (Fryer, 1941;Karpf, 1973;Roth, 1966;Walker, 1982;Wegner, cited in Merz, 1969) and a secondary group of 7 (Carroll & Payne, 1977;Dansereau, 1969;Dansereau & Gregg, 1966;Feldman, 1959;Johnson & Russo, 1978;Kazdin, 1976;Smead, Wilcox, & Wilkes, 1981). To the primary group we add Fidler (1983) and Schweiger (1983), which were not available to Ericsson and Simon. In the primary studies, the test for reactivity (and other aspects of protocol performance) was not an incidental check, but an important methodological goal.…”
Section: Reactmty: Existing Evidencementioning
confidence: 99%
“…These studies showed that the presence of carry operations increases problem difficulty. That is to say, the time that is needed to mentally calculate the solution of complex arithmetic problems strongly correlates with the number of carry operations (e.g., Ashcraft & Faust, 1994;Ashcraft & Kirk, 2001;Ashcraft & Stazyk, 1981;Dansereau & Gregg, 1966;Faust, Ashcraft, & Fleck, 1996;Imbo, Vandierendonck, & De Rammelaere, in review;Widaman, Geary, Cormier, & Little, 1989). After a step in which a digit has to be carried, there has to be an extra step wherein this information is put into working memory (WM).…”
Section: Introductionmentioning
confidence: 99%
“…For this purpose, it is assumed that calculations involving multidigit numbers typically require a series of steps, each involving the retrieval of an arithmetical fact from long-term memory (Dansereau & Gregg, 1966;Hitch, 1978;McCloskey, 1992). Evidence from verbal tasks suggests that retrieval from long-term memory does not place heavy demands on working memory (see, e.g., Baddeley, Lewis, Eldridge, & Thomson, 1984;Conway & Engle, 1994).…”
mentioning
confidence: 99%