Phonological and central executive working memory processes in children's mental addition and multiplication;Phonologische und zentral-exekutive arbeitsgedächtnisprozesse bei der mentalen addition und multiplikation bei grundschulkindern

Psychologie in Erziehung und Unterricht

Volumn 53, Issue 4, 2006, Pages 275-290

  Thomas, Joachim ^a   Zoelch, Christof ^a   Seitz Stein, Katja ^a   Schumann Hengsteler, Ruth ^a  

^a CATHOLIC UNIVERSITY OF EICHSTÄTT INGOLSTADT   (Germany)

Author keywords

Arithmetic in elementary school; Development; Dual task; Mental arithmetic; Working memory

Indexed keywords

EID: 33750511087     PISSN: 0342183X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (46)

1. Adams, J. W. & Hitch, G. J. (1997). Working memory and children's mental addition. Journal of Experimental Child Psychology, 67, 21-38.
2. Baddeley, A. D. (1996). Exploring the central executive. The Quarterly Journal of Experimental Psychology, 49, 5-28.
3. Baddeley, A. (1998). Recent developments in working memory. Current Opinion in Neurobiology, 8, 234-238.
4. Baddeley, A. (2000). Short-term and working memory. In E. Tulving & F. I. M. Craik (Eds.), The Oxford handbook of memory (pp77-92). New York: Oxford University Press.
5. Baddeley, A., Della Sala, S., Papagno, C., & Spinnler, H. (1997). Dual-task performance in dysexecutive and nondysexecutive patients with a frontal lesion. Neuropsychology, 11, 187-194.
6. Baddeley, A. D. & Hitch, G. J. (1974). Working memory. In G. Bower (Ed.), The psychology of learning and motivation (pp. 47-89). New York: Academic Press.
7. Baddeley, A. D. & Hitch, G. J. (2000). Development of working memory: Should the Pascual-Leone and the Baddeley and Hitch Models be merged? Journal of Experimental Child Psychology, 77, 128-137.
8. Bull, R. & Johnston, R. S. (1997). Children's arithmetical difficulties: Contributions from processing speed, item identification, and short-term memory. Journal of Experimental Child Psychology, 65, 1-24.
9. Bull, R., Johnston. R. S. & Roy, J. A. (1999). Exploring the roles of the visual-spatial sketch pad and central executive in children's arithmetical skills: Views from cognition and developmental neuropsychology. Developmental Neuropsychology, 15, 421-442.
10. Bull, R. & Scerif, G. (2001), Executive functioning as a predictor of children's mathematics ability: Inhibition, switching, and working memory. Developmental Neuropsychology, 19, 273-293.
11. De Rammelaere, S., Stuyven, E. & Vandierendonck, A. (1999). The contribution of working memory resources in the verification of simple mental arithmetic sums. Psychological Research/Psychologische Forschung, 62, 72-77.
12. De Rammelaere, S., Stuyven, E. & Vandierendonck, A, (2001). Verifying simple arithmetic sums and products: are the phonological loop and the central executive involved? Memory and Cognition, 29, 267-273.
13. De Rammelaere, S. & Vandierendonck, A. (2001). Are executive processes used to solve simple arithmetic production tasks. Current Psychology Letters: Behavior, Brain & Cognition, 5, 79-90.
14. Deschuyteneer, M. & Vandierendonck, A. (2005). Are "input monitoring" and "response selection" involved in solving simple mental arithmetical sums? European Journal of Cognitive Psychology 17, 347-370.
15. DeStefano, D. & LeFevre, J.-A. (2004). The role of working memory in mental arithmetic. European Journal of Cognitive Psychology, 16, 353-386.
16. Fournier, S., Larigauderie, P. & Gaonac'h, D. (2004). Exploring how the central executive works: A search for independent components. Psychologica Belgica, 44, 159-188.
17. Fürst, A. J. & Hitch, G. J. (2000). Separate roles for executive and phonological components of working memory in mental arithmetic. Memory & Cognition 28, 774-782.
18. Gathercole, S. E. & Hitch, G. J. (1993). Developmental changes in short-term memory: A revised working memory perspective. In A. F. Collins, S. E. Gathercole & et al. (Eds.), Theories of memory (pp. 189-209). Hillsdale, NJ: Erlbaum
19. Gaupp, N. (2003). Dyskalkulie. Arbeitsgedächtnisdefizite und Defizite numerischer Basiskompetenzen rechenschwacher Kinder. Berlin: Logos.
20. Geary, D. C. & Brown, S. C. (1991). Cognitive addition: Strategy choice and speed-of-processing differences in gifted, normal, and mathematically disabled children. Developmental Psychology. 27, 398-406.
21. Geary, D. C. & Hoard, M. K. (2001). Numerical and arithmetical deficits in learning-disabled children: Relation to dyscalculia and dyslexia. Aphasiology, 15, 635-647.
22. Geary, D. C., Hoard, M. K. & Hamson, C. O. (1999). Numerical and arithmetical cognition: Patterns of functions and deficits in children at risk for a mathematical disability. Journal of Experimental Child Psychology, 74, 213-239.
23. Grube, D. (2006). Entwicklung des Rechnens im Grund-schulalter: Basale Fertigkeiten, Wissensabruf und Arbeitsgedächtniseinflüsse. Münster: Waxmann.
24. Heaton, R. K., Chelune, G. J., Talley, J. L., Kay, G. G. & Curtiss, G. (1993). Wisconsin Card Sorting Test. Odessa, FL: Psychological Assessment Ressources.
25. Hitch, G., J. Cundick, C. & Haughey, M. (1987). Aspects of counting in children's arithmetic. In J. A. Sloboda & D. Rogers (Eds.) Cognitive processes in mathematics (pp 26-41). New York, NY: Clarendon Press/Oxford University Press.
26. Kail, R. (1985). Development of mental rotation: A speed-accuracy study. Journal of Experimental Child Psychology, 40, 181-192.
27. Klatte, M., Lee, N. & Hellbrück, J. (2002). Effects of irrelevant speech and articulatory suppression on serial recall of heard and read materials. Psychologische Beitrage, 44, 166-186.
28. Krajewski, K. (2003). Vorhersage von Rechenschwäche in der Grundschule. Hamburg: Kovac.
29. 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.
30. Logie, R. H. (1999). Working Memory. The Psychologist, 12, 174-178.
31. Miyake, A., Friedman, N. P., Emerson, M. J., Witzki, A. H. & Howerter, A. (2000). The unity and diversity of executive functions and their contributions to complex "frontal lobe" tasks: A latent variable analysis. Cognitive Psychology, 41, 49-100.
32. Noël, M.-P., Désert, M., Aubrun, A. & Seron, X. (2001). Involvement of short-term memory in complex mental calculation. Memory & Cognition, 29, 34-42.
33. Oberauer, K., Demmrich, A., Mayr, U. & Kliegl, R. (2001). Dissociating retention and access in working memory: An age-comparative study of mental arithmetic. Memory & Cognition, 29, 18-33.
34. Passolunghi, M. C. & Siegel, L. S. (2001). Short-term memory, working memory, and inhibitory control in children with difficulties in arithmetic problem solving. Journal of Experimental Child Psychology, 80, 44-57.
35. Pickering, S. J., Gathercole, S. E., Hall, M. & Lloyd, S. A. (2001). Development of memory for pattern and path: Further evidence for the fractionation of visuospatial memory. Quarterly Journal of Experimental Psychology: Human Experimental Psychology, 54 A, 397-420.
36. Quinn, J. G. & McConnell, J. (1996). Irrelevant pictures in visual working memory. The Quarterly Journal of Experimental Psychology, 49A, 200-215.
37. Schumann-Hengsteler, R., Strobl, M. & Zoelch, C. (2004). Temporal memory for locations: On the encoding of spatio-temporal information in children and adults. In G. L. Allen (Ed.), Human spatial memory: remembering where (101 - 124). New York: Erlbaum.
38. Seitz, K. & Schumann-Hengsteler, R. (2000). Mental multiplication and working memory. European Journal of Cognitive Psychology, 12, 552-570.
39. Seitz, K. & Schumann-Hengsteler, R. (2002). Phonological loop and central executive processes in mental addition and multiplication. Psychologische Beiträge, 44, 275-302.
40. Siegel, L. S. & Linder, A. (1984). Short-term memory processes in children with reading and arithmetic disabilities. Developmental Psychology, 20, 200-207.
41. Swanson, H. L. (1993). Working memory in learning disability subgroups. Journal of Experimental Child Psychology, 56, 87-114.
42. Towse, J. N. (1998). On random generation and the central executive of working memory. British Journal of Psychology, 89, 77-101.
43. Towse, J. N.& Houston-Price, C. M. T. (2001). Reflections on the concept of the central executive. In J. Andrade (Ed.), Working memory in perspective (pp. 240-240). Philadelphia, PA: Psychology Press.
44. Vandierendonck, A., De Vooght, G. & Van der Goten, K. (1998). Interfering with the central executive by means of a random interval repetition task. Quarterly Journal of Experimental Psychology: Human
45. Weberschock, U. & Grube, D. (2006). Zur Spezifität von Einflüssen der Arbeitsgedächtniskapazität und des arithmetischen Faktenwissens auf Rechenleistungen von Viertklässlern. Psychologie in Erziehung und Unterricht, 53, 291-302.
46. Zoelch, C., Seitz, K. & Schumann-Hengsteler, R. (2005). From rag(bag)s to riches: Measuring the developing central executive. In W. Schneider, R. Schumann-Hengsteler & B. Sodian. Young children's cognitive development: Interrelationships among executive functioning, working memory, verbal ability, and theory of mind (pp 39-69). Mahwah, NJ: Lawrence Erlbaum Associates, 39-69.