Alzheimer's disease disrupts arithmetic fact retrieval processes but not arithmetic strategy selection

Brain and Cognition

Volumn 52, Issue 3, 2003, Pages 302-318

  Duverne, Sandrine ^a   Lemaire, Patrick ^a   Michel, Bernard François ^b  

^a CNRS   (France)

^b HÔPITAL SAINTE MARGUERITE   (France)

Author keywords

Age related differences; Alzheimer's disease related differences; Arithmetic retrieval processes; Strategy selection

Indexed keywords

AGED; ALZHEIMER DISEASE; ARITHMETIC; ARTICLE; CLINICAL ARTICLE; CONTROLLED STUDY; FEMALE; HUMAN; INFORMATION RETRIEVAL; MALE; MANIPULATIVE MEDICINE; PRIORITY JOURNAL; PROBABILITY; TASK PERFORMANCE;

EID: 0042166227     PISSN: 02782626     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0278-2626(03)00168-4     Document Type: Article

References (83)

1. Allen P.A., Ashcraft M.H., Weber T.A. On mental multiplication and age. Psychology and Aging. 7:1992;536-545.
2. Allen, P. A., Bucur, B., Lemaire, P., Duverne, S., Ogrocki, P., & Sanders, R. E. (in press). Influence of probable Alzheimer's disease on multiplication verification and production. Aging, Neuropsychology, and Cognition.
3. Allen P.A., Smith A.F., Jerge K.A., Vires-Collins H. Age differences in mental multiplication: Evidence for peripheral but not central decrements. Journal of Gerontology: Psychological Sciences. 52(2):1997;81-90.
4. APA (1994). Diagnostic and statistical manual of mental disorders (4th ed.). Washington, DC: Author.
5. Arbuthnott K.D. To repeat or not to repeat: Repetition facilitation and inhibition in sequential retrieval. Journal of Experimental Psychology: General. 125(3):1996;261-283.
6. Arbuthnott, K., & Campbell, J. I. D. (2000). Cognitive inhibition in selection and sequential retrieval. Memory & Cognition, 28(3), 331-340.
7. Arbuthnott K.D., Campbell J.I.D. Effects of operand order and problem repetition on error priming in cognitive arithmetic. Canadian Journal of Experimental Psychology. 50(2):1996;182-196.
8. Ashcraft M.H., Battaglia J. Evidence for retrieval and decision processes in mental addition. Journal of Experimental Psychology: Human Learning and Memory. 4:1978;527-538.
9. Ashcraft M.H., Donley R.D., Halas M.A., Vakali M. Working memory, automaticity, and problem difficulty. Campbell J.I.D. The nature and origins of mathematical skills. 1992;North-Holland, Amsterdam, Netherlands.
10. Ashcraft M.H., Stazyk E.H. Mental addition: A test of three verification models. Memory & Cognition. 9(2):1981;185-196.
11. Campbell J.I. Production, verification, and priming of multiplication facts. Memory & Cognition. 15:1987;349-364.
12. Campbell J.I. Retrieval inhibition and interference in cognitive arithmetic. Canadian Journal of Psychology. 44(4):1990;445-464.
13. Campbell J.I. Mechanisms of simple addition and multiplication: A modified network-interference theory and simulation. Mathematical Cognition. 1:1995;121-164.
14. Campbell J.I.D., Arbuthnott K.D. Inhibitory processes in sequential retrieval: Evidence from variable-lag repetition priming. Brain and Cognition. 30(1):1996;59-80.
15. Campbell J.I.D., Graham D.J. Mental multiplication skill: Structure, process, and acquisition. Canadian Journal of Psychology. 39:1985;338-366.
16. Campbell J.I.D., Timm J.C. Adults' strategy choices for simple addition: Effects of retrieval interference. Psychonomic Bulletin & Review. 7(4):2000;392-699.
17. Campbell J.I.D., Xue Q. Cognitive arithmetic across cultures. Journal of Experimental Psychology: General. 130(2):2001;299-315.
18. Carlomagno S., Iavarone A., Nolfe G., Bourene G., Martin C., Deloche G. Dyscalculia in the early stages of Alzheimer's disease. Acta Neurologia Scandinavia. 99:1999;166-174.
19. Cerella J. Information processing rates in the elderly. Psychological Bulletin. 98(1):1985;67-83.
20. Cerella J. Age and information-processing rate. Birren J.E., Schaie K.W. Handbook of the psychology of aging. 3rd ed. 1990;201-233 Academic Press, San Diego, CA.
21. Charness N., Campbell J.I.D. Acquiring skill at mental calculation in adulthood: A task decomposition. Journal of Experimental Psychology: General. 117:1988;115-129.
22. Crutch S.J., Warrington E.K. Acalculia: Deficits of operational and quantity number knowledge. Journal of International Neuropsychology Society. 7:2001;825-834.
23. De Rammelaere S., Stuyven E., Vandierendonck A. Verifying simple arithmetic sums and products: Are the phonological loop and the central executive involved? Memory and Cognition. 29:2001;267-274.
24. Dehaene S. The number sense. 1997;Oxford University Press, New York.
25. Deloche G., Hannequin D., Carlomagno S., Angiel A., Dordain M., Pasquier F., Pellat J., Denis P., Desi M., Beauchamp D., Metz-Lutz M.N., Cesaro P., Seron X. Calculation and number processing in mild Alzheimer's disease. Journal of Clinical Experimental Neuropsychology. 17:1995;634-639.
26. Deltour, J. J. (1993). Echelle de vocabulaire de Mill Hill de J.C. Raven. Adaptation française et normes européennes du Mill Hill et du Standard Progressive Matrices de Raven (PM38). Braine-le-Château: Editions l'application des techniques modernes.
27. Deweer B., Ergis A.M., Fossati P., Pillon B., Boller F., Agid Y., Bubois B. Explicit memory, procedural learning, and lexical primming in Alzheimers' disease. Cortex. 30:1994;113-126.
28. DSM I (1996). Manuel diagnostic et statistique des troubles mentaux. Paris: Masson.
29. Duverne, S., Lemaire, P., & Lecacheur, M. (2003). Age-related differences in strategy selection in arithmetic problem solving. Submitted.
30. El Yagoubi R., Lemaire P., Besson M. Different brain mechanisms mediate two strategies in arithmetic: Evidence from visual event-related brain potentials. Neuropsychologia. 41:2003;855-862.
31. Eslinger P.J., Damasio A.R. Preserved motor learning in Alzheimer's disease: Implications for anatomy and behavior. Journal of Neuroscience. 6:1986;3006-3009.
32. Faust M.E., Balota D.A., Spieler D.H., Ferraro F.R. Individual differences in information-processing rate and amount: Implications for group differences in response latency. Psychological Bulletin. 125(6):1999;777-799.
33. Folstein M.F., Folstein S.E., McHugh P.R. Mini mental state: A practical method for grading the cognitive state of patients for the clinician. Journal of Psychiatric Research. 12(3):1975;189-198.
34. French J.W., Ekstrom R.B., Price I.A. Kit of reference tests for cognitive factors. 1963;Educational Testing Service, Princeton, NJ.
35. Gabrieli J.D.E., Corkin S., Mickel S.F., Growdon J.H. Intact acquisition and long-term retention of mirror-tracing skill in Alzheimer's disease and in global amnesia. Behavioral Neuroscience. 107:1993;899-910.
36. Geary D.C. Children's mathematical development. 1994;American Psychological Association, Washington, DC.
37. Geary D. The problem-size effect in mental addition: Developmental and cross-national trends. Mathematical Cognition. 2(1):1996;63-93.
38. Geary D.C., Brown S.C. Cognitive addition: Strategy choice and speed-of-processing differences in gifted, normal and mathematically disabled children. Developmental Psychology. 27:1991;398-406.
39. Geary D.C., Frensch P.A., Wiley J.G. Simple and complex mental subtraction: Strategy choice and speed-of-processing differences in younger and older adults. Psychology and Aging. 8:1993;242-256.
40. Geary D.C., Hamson C.O., Chen G.P., Liu F., Hoard M.K., Salthouse T.A. Computational and reasoning abilities in arithmetic: Cross-generational change in China and the United States. Psychonomic Bulletin & Review. 4(3):1997;425-430.
41. Geary D.C., Lin J. Numerical cognition: Age-related differences in the speed of executing biologically primary and biologically secondary processes. Experimental Aging Research. 24(2):1997;101-137.
42. Geary D.C., Salthouse T.A., Chen G.P., Fan L. Are East Asian versus American differences in arithmetic ability a recent phenomenon? Developmental Psychology. 32:1996;254-262.
43. Geary D.C., Whiley J.G. Cognitive addition: Strategy choices and speed-of-processing differences in young and elderly adults. Psychology and Aging. 6(3):1991;474-483.
44. Girelli L., Luzzatti C., Annoni G., Vecchi T. Progressive decline of numerical skill in Alzheimer type dementia: A case study. Brain and Cognition. 40:1999;132-136. doi:110.1006/brcg.1999.1066.
45. Grafman J., Kampen D., Rosemberg J., Salazar A.M., Boller F. The progressive breakdown of number processing and calculation ability: A case study. Cortex. 25:1989;121-133.
46. Grosse D.A., Wilson R.S. Maze learning in Alzheimer's disease. Brain and Cognition. 15:1991;1-9.
47. Hale S. A global developmental trend in cognitive processing speed. Child Development. 61(3):1990;653-663.
48. Hamann M.S., Ashcraft M.H. Simple and complex mental addition across development. Journal of Experimental Child Psychology. 40:1985;49-72.
49. Hamilton M. The assessment of anxiety states by rating. British Journal of Medical Psychology. 32:1959;50-55.
50. Kaufmann L., Montanes P., Jacquier M., Matallana D., Eibl G., Delazer M. About the relationship between numerical processing and arithmetics in early Alzheimer's disease - a follow-up study. Brain and Cognition. 48:2002;398-405. doi:310.1006/brcg.2001.1386.
51. Kirk E.P., Ashcraft M.H. Telling stories: The perils and promise of using verbal reports to study math strategies. Journal of Experimental Psychology: Learning, Memory, and Cognition. 27(1):2001;157-175.
52. LeFevre J., Bisanz J., Daley K.E., Buffone L., Sadesky G.S. Multiple routes to solution of single-digit multiplication problems. Journal of Experimental Psychology: General. 125:1996;284-306.
53. LeFevre J., Sadesky G.S., Bisanz J. Selection of procedures in mental addition: Reassessing the problem-size effect in adults. Journal of Experimental Psychology: Learning, Memory, and Cognition. 22:1996;216-230.
54. Lemaire P., Abdi H., Fayol M. The role of working memory resources in simple cognitive arithmetic. European Journal of Cognitive Psychology. 8(1):1996;73-103.
55. Lemaire P., Reder L. What affects strategy selection in arithmetic? An example of parity and five effects on product verification. Memory & Cognition. 22:1999;364-382.
56. Lorch R.F., Myers J.L. Regression analyses of repeated measures data in cognitive research. Journal of Experimental Psychology: Learning, Memory, and Cognition. 16(1):1990;149-157.
57. Manly C.F., Spoehr K.T. Mental multiplication: Nothing but the facts? Memory & Cognition. 27(6):1999;1087-1096.
58. Mantovan M.C., Delazer M., Ermani M., Denes G. The breakdown of calculation procedures in Alzheimer's disease. Cortex. 35:1999;21-38.
59. Marterer A., Danielczyk W., Simanyi M., Fischer P. Calculation abilities in dementia of Alzheimer's type and in vascular dementia. Archives of Gerontology Geriatrics. 23:1996;189-197.
60. McCloskey M., Aliminosa D., Sokol S.M. Facts, rules and procedures in normal calculation: Evidence from multiple single patient studies of impaired arithmetic fact retrieval. Brain and Cognition. 17:1991;377-397.
61. McGlinchey-Berroth R., Milberg W.P., Charness N. Learning of a complex arithmetic skill in dementia: Further evidence for a dissociation between compilation and production. Cortex. 25:1989;695-705.
62. McKhann G., Drachmann D.A., Folstein M.F., Katzman R., Price D.L., Stadlan E. Clinical diagnosis of Alzheimer's disease: Report of the NINCDS-ADRDA work group under the auspices of the Department of Health and Human Services task force on Alzheimer's disease. Neurology. 34:1984;939-944.
63. Miller K.F., Perlmutter M., Keating D. Cognitive arithmetic: Comparison of operations. Journal of Experimental Psychology: Learning, Memory, and Cognition. 10:1984;46-60.
64. Myerson J., Hale S., Wagstaff D., Poon L.W., Smith G.A. The information-loss model: A mathematical theory of age-related cognitive slowing. Psychological Review. 97(4):1990;475-487.
65. Nebes R.D., Brady C.B. Generalized cognitive slowing and severity of dementia in Alzheimer's disease: Implications for the interpretation of response-time data. Journal of Clinical and Experimental Neuropsychology. 14:1992;317-326.
66. Nebes R.D., Madden D.J. Different patterns of cognitive slowing produced by Alzheimer's disease and normal aging. Psychology and Aging. 3:1988;102-104.
67. Parlato V., Lopez O.L., Panisset M., Iavarone A., Grafman F., Boller F. Mental calculation in mild Alzheimer's disease: A pilot study. International Journal of Geriatric Psychiatry. 7:1992;599-602.
68. Pesenti M., Seron X., Van der Linden M. Selective impairment as evidence for mental organisation of arithmetical facts: BB, a case of preserved subtraction? Cortex. 30(4):1994;661-671.
69. Pesenti M., Thioux M., Seron X., De Volder A. Neuroanatomical substrates of arabic number processing, numerical comparison, and simple addition: A PET study. Journal of Cognitive Neuroscience. 12(3):2000;461-479.
70. Raven J.C., Court J.H., Raven J. Manual for Raven's progressive matrices and vocabulary scales. 1986;Oxford Psychologists Press, Oxford.
71. Rosselli M., Ardila A., Arvizu L., Kretzmer T., Standish V., Liebermann J. Arithmetical abilities in Alzheimer disease. International Journal of Neurosciences. 96:1998;141-148.
72. Salthouse T.A. General and specific speed mediation of adult age differences in memory. Journals of Gerontology: Series B: Psychological Sciences and Social Sciences. 51B(1):1996;30-42.
73. Salthouse T.A. The processing-speed theory of adult age differences in cognition. Psychological Review. 103:1996;403-428.
74. Salthouse T.A., Coon V.E. Interpretation of differential deficits: The case of aging and mental arithmetic. Journal of Experimental Psychology: Learning, Memory, and Cognition. 20:1994;1172-1182.
75. Salthouse T.A., Meinz E.J. Aging, inhibition, working memory, and speed. Journal of Gerontology: Psychological Sciences. 50B(6):1995;P297-P306.
76. Stanescu-Cosson R., Pinel P., van de Moortele P.F., Le Bihan D., Cohen L., Dehaene S. Understanding dissociations in dyscalculia. A brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation. Brain. 123:2000;2240-2255.
77. Stazyk E.H., Ashcraft M.H., Hamann M.S. A network approach to mental multiplication. Journal of Experimental Psychology: Learning, Memory, and Cognition. 8(4):1982;320-335.
78. Stroop J.R. Studies of interference in serial verbal reactions. Journal of Experimental Psychology. 18(643):1935;643-662.
79. Verhaeghen P., Kliegl R., Mayr U. Sequential and coordinative complexity in time-accuracy functions for mental arithmetic. Psychology and Aging. 12(4):1997;555-564.
80. Welcher D. Welcher adult intelligence scale-revised. 1981;Psychological Corporation, New York.
81. Widaman K.F., Geary D.C., Cormier P., Little T.D. A componential model for mental addition. Journal of Experimental Psychology: Learning, Memory, and Cognition. 15(5):1989;898-919.
82. Zbrodoff N.J. Effects of counting in alphabet arithmetic: Opportunistic stopping and priming of intermediate steps. Journal of Experimental Psychology: Learning, Memory, and Cognition. 25(2):1999;299-317.
83. Zbrodoff N.J., Logan G.D. On the relation between production and verification tasks in the psychology of simple arithmetic. Journal of Experimental Psychology: Learning, Memory, and Cognition. 16:1990;83-97.