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Volumn 123, Issue 3, 2012, Pages 392-403

The use of procedural knowledge in simple addition and subtraction problems

Author keywords

Arithmetic; Numerical cognition; Priming; Strategies

Indexed keywords

ADULT; ARITHMETIC; ARTICLE; COGNITION; HUMAN; HUMAN EXPERIMENT; MALE; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; PROBLEM SOLVING; PROFESSIONAL KNOWLEDGE; TASK PERFORMANCE; WORKING MEMORY;

EID: 84859725093     PISSN: 00100277     EISSN: 18737838     Source Type: Journal    
DOI: 10.1016/j.cognition.2012.02.008     Document Type: Article
Times cited : (113)

References (54)
  • 1
    • 58149405254 scopus 로고
    • Acquisition of cognitive skill
    • Anderson J.R. Acquisition of cognitive skill. Psychological Review 1982, 89:369-406.
    • (1982) Psychological Review , vol.89 , pp. 369-406
    • Anderson, J.R.1
  • 3
    • 0001752796 scopus 로고
    • Skill acquisition: Compilation of weak-method problem solutions
    • Anderson J.R. Skill acquisition: Compilation of weak-method problem solutions. Psychological Review 1987, 94:192-210.
    • (1987) Psychological Review , vol.94 , pp. 192-210
    • Anderson, J.R.1
  • 4
    • 0141435153 scopus 로고
    • Procedural knowledge versus fact retrieval in mental arithmetic: A reply to Baroody
    • Ashcraft M.H. Procedural knowledge versus fact retrieval in mental arithmetic: A reply to Baroody. Developmental Review 1983, 3:231-235.
    • (1983) Developmental Review , vol.3 , pp. 231-235
    • Ashcraft, M.H.1
  • 5
    • 0026902617 scopus 로고
    • Cognitive arithmetic: A review of data and theory
    • Ashcraft M.H. Cognitive arithmetic: A review of data and theory. Cognition 1992, 44:75-106.
    • (1992) Cognition , vol.44 , pp. 75-106
    • Ashcraft, M.H.1
  • 6
    • 21844505723 scopus 로고
    • The frequency of arithmetic facts in elementary texts: Addition and multiplication in grades 1-6
    • Ashcraft M.H., Christy K.S. The frequency of arithmetic facts in elementary texts: Addition and multiplication in grades 1-6. Journal for Research in Mathematics Education 1995, 5:396-421.
    • (1995) Journal for Research in Mathematics Education , vol.5 , pp. 396-421
    • Ashcraft, M.H.1    Christy, K.S.2
  • 7
    • 70349084100 scopus 로고    scopus 로고
    • Mathematical cognition and the problem size effect
    • Academic Press, Burlington
    • Ashcraft M.H., Guillaume M.M. Mathematical cognition and the problem size effect. The psychology of learning and motivation 2009, Vol. 51:121-151. Academic Press, Burlington.
    • (2009) The psychology of learning and motivation , vol.51 , pp. 121-151
    • Ashcraft, M.H.1    Guillaume, M.M.2
  • 8
    • 0000102537 scopus 로고
    • The development of procedural knowledge: An alternative explanation for chronometric trends of mental arithmetic
    • Baroody A.J. The development of procedural knowledge: An alternative explanation for chronometric trends of mental arithmetic. Developmental Review 1983, 3:225-230.
    • (1983) Developmental Review , vol.3 , pp. 225-230
    • Baroody, A.J.1
  • 9
    • 0008640104 scopus 로고
    • A reexamination of mental arithmetic models and data: A reply to Ashcraft
    • Baroody A.J. A reexamination of mental arithmetic models and data: A reply to Ashcraft. Developmental Review 1984, 4:148-156.
    • (1984) Developmental Review , vol.4 , pp. 148-156
    • Baroody, A.J.1
  • 10
    • 38149145223 scopus 로고
    • An evaluation of evidence supporting fact-retrieval models
    • Baroody A.J. An evaluation of evidence supporting fact-retrieval models. Learning and Individual Differences 1994, 6:1-36.
    • (1994) Learning and Individual Differences , vol.6 , pp. 1-36
    • Baroody, A.J.1
  • 11
    • 84859717930 scopus 로고    scopus 로고
    • The active construction view of basic number fact knowledge: New directions for cognitive neuroscience
    • In J. Baek, A. E. Kelly, & L. Kalbfleisch (Eds.), Neuropsychology and mathematics education In press
    • Baroody, A. J., & Varma, S. (in press). The active construction view of basic number fact knowledge: New directions for cognitive neuroscience. In J. Baek, A. E. Kelly, & L. Kalbfleisch (Eds.), Neuropsychology and mathematics education.
    • Baroody, A.J.1    Varma, S.2
  • 13
    • 0025857569 scopus 로고
    • Conditions of error priming in number-fact retrieval
    • Campbell J.I.D. Conditions of error priming in number-fact retrieval. Memory & Cognition 1991, 19:197-209.
    • (1991) Memory & Cognition , vol.19 , pp. 197-209
    • Campbell, J.I.D.1
  • 14
    • 0000356550 scopus 로고
    • Mechanisms of single addition and multiplication: A modified network-interference theory and simulation
    • Campbell J.I.D. Mechanisms of single addition and multiplication: A modified network-interference theory and simulation. Mathematical Cognition 1995, 1:121-164.
    • (1995) Mathematical Cognition , vol.1 , pp. 121-164
    • Campbell, J.I.D.1
  • 15
    • 54949129105 scopus 로고    scopus 로고
    • Subtraction by addition
    • Campbell J.I.D. Subtraction by addition. Memory & Cognition 2008, 36:1094-1102.
    • (2008) Memory & Cognition , vol.36 , pp. 1094-1102
    • Campbell, J.I.D.1
  • 17
    • 0036836914 scopus 로고    scopus 로고
    • Calculation, culture and the repeated operand effect
    • Campbell J.I.D., Gunter R. Calculation, culture and the repeated operand effect. Cognition 2002, 86:71-96.
    • (2002) Cognition , vol.86 , pp. 71-96
    • Campbell, J.I.D.1    Gunter, R.2
  • 18
    • 33745950164 scopus 로고    scopus 로고
    • Calculation latency: The mu of memory and the tau of transformation
    • Campbell J.I.D., Penner-Wilger M. Calculation latency: The mu of memory and the tau of transformation. Memory & Cognition 2006, 34:217-226.
    • (2006) Memory & Cognition , vol.34 , pp. 217-226
    • Campbell, J.I.D.1    Penner-Wilger, M.2
  • 19
    • 0030003655 scopus 로고    scopus 로고
    • Retrieval processes in arithmetic production and verification
    • Campbell J.I.D., Tarling D.P.M. Retrieval processes in arithmetic production and verification. Memory & Cognition 1996, 24:156-172.
    • (1996) Memory & Cognition , vol.24 , pp. 156-172
    • Campbell, J.I.D.1    Tarling, D.P.M.2
  • 21
    • 0026900985 scopus 로고
    • Varieties of numerical abilities
    • Dehaene S. Varieties of numerical abilities. Cognition 1992, 44:1-42.
    • (1992) Cognition , vol.44 , pp. 1-42
    • Dehaene, S.1
  • 26
    • 0345060428 scopus 로고    scopus 로고
    • Automatic activation of multiplication facts: Evidence from the nodes adjacent to the product
    • Galfano G., Rusconi E., Umiltà C. Automatic activation of multiplication facts: Evidence from the nodes adjacent to the product. Quarterly Journal of Experimental Psychology 2003, 56A:31-61.
    • (2003) Quarterly Journal of Experimental Psychology , vol.56 A , pp. 31-61
    • Galfano, G.1    Rusconi, E.2    Umiltà, C.3
  • 27
    • 58849128596 scopus 로고    scopus 로고
    • To retrieve or to calculate? Left angular gyrus mediates the retrieval of arithmetic facts during problem solving
    • Grabner R.H., Ansari D., Koschutnig K., Reishofer G., Ebner F., Neuper C. To retrieve or to calculate? Left angular gyrus mediates the retrieval of arithmetic facts during problem solving. Neuropsychologia 2009, 47:604-608.
    • (2009) Neuropsychologia , vol.47 , pp. 604-608
    • Grabner, R.H.1    Ansari, D.2    Koschutnig, K.3    Reishofer, G.4    Ebner, F.5    Neuper, C.6
  • 28
    • 0000627440 scopus 로고
    • A chronometric analysis of simple addition
    • Groen G.J., Parkman J.M. A chronometric analysis of simple addition. Psychological Review 1972, 79:329-343.
    • (1972) Psychological Review , vol.79 , pp. 329-343
    • Groen, G.J.1    Parkman, J.M.2
  • 29
  • 30
    • 2942556789 scopus 로고    scopus 로고
    • Fact, rules, and strategies in single-digit multiplication: Evidence from event-related brain potentials
    • Jost K., Beinhoff U., Hennighausen E., Rosler F. Fact, rules, and strategies in single-digit multiplication: Evidence from event-related brain potentials. Cognitive Brain Research 2004, 20:183-193.
    • (2004) Cognitive Brain Research , vol.20 , pp. 183-193
    • Jost, K.1    Beinhoff, U.2    Hennighausen, E.3    Rosler, F.4
  • 32
    • 84859704323 scopus 로고    scopus 로고
    • Numerical cognition: Single-digit multiplication skills of adults from China and Canada
    • LeFevre J.-A., Liu J. Numerical cognition: Single-digit multiplication skills of adults from China and Canada. Mathematical Cognition 1997, 22:216-230.
    • (1997) Mathematical Cognition , vol.22 , pp. 216-230
    • LeFevre, J.-A.1    Liu, J.2
  • 34
    • 11144264144 scopus 로고    scopus 로고
    • The tie effect in simple arithmetic: An access-based account
    • LeFevre J.-A., Shanahan T., DeStephano D. The tie effect in simple arithmetic: An access-based account. Memory & Cognition 2004, 32:1019-1031.
    • (2004) Memory & Cognition , vol.32 , pp. 1019-1031
    • LeFevre, J.-A.1    Shanahan, T.2    DeStephano, D.3
  • 35
    • 0025655179 scopus 로고
    • Starting to add worse - Effects of learning to multiply on children's addition
    • Miller K.F., Paredes D.R. Starting to add worse - Effects of learning to multiply on children's addition. Cognition 1990, 37:213-242.
    • (1990) Cognition , vol.37 , pp. 213-242
    • Miller, K.F.1    Paredes, D.R.2
  • 37
    • 54049154441 scopus 로고    scopus 로고
    • Foundations for success: The final report of the National Mathematics Advisory Panel
    • Washington, DC: US Department of Education
    • National Mathematics Advisory Panel (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: US Department of Education.
    • (2008) National Mathematics Advisory Panel
  • 39
    • 37349085817 scopus 로고    scopus 로고
    • CheckVocal: A program to facilitate checking the accuracy and response time of vocal responses from DMDX
    • Protopapas A. CheckVocal: A program to facilitate checking the accuracy and response time of vocal responses from DMDX. Behavior Research Methods 2007, 39:859-862.
    • (2007) Behavior Research Methods , vol.39 , pp. 859-862
    • Protopapas, A.1
  • 40
    • 0035579746 scopus 로고    scopus 로고
    • The validity of verbal reports in children's subtraction
    • Robinson K.M. The validity of verbal reports in children's subtraction. Journal of Educational Psychology 2001, 93:211-222.
    • (2001) Journal of Educational Psychology , vol.93 , pp. 211-222
    • Robinson, K.M.1
  • 41
    • 0036154875 scopus 로고    scopus 로고
    • Procedural vs. direct retrieval strategies in arithmetic: A comparison between additive and multiplicative problem solving
    • Roussel J.L., Fayol M., Barrouillet P. Procedural vs. direct retrieval strategies in arithmetic: A comparison between additive and multiplicative problem solving. European Journal of Cognitive Psychology 2002, 14:61-104.
    • (2002) European Journal of Cognitive Psychology , vol.14 , pp. 61-104
    • Roussel, J.L.1    Fayol, M.2    Barrouillet, P.3
  • 42
    • 9344240777 scopus 로고    scopus 로고
    • Capacity and contextual constraints on product activation: Evidence from task-irrelevant fact retrieval
    • Rusconi E., Galfano G., Speriani V., Umiltà C. Capacity and contextual constraints on product activation: Evidence from task-irrelevant fact retrieval. Quarterly Journal of Experimental Psychology 2004, 57A:1485-1511.
    • (2004) Quarterly Journal of Experimental Psychology , vol.57 A , pp. 1485-1511
    • Rusconi, E.1    Galfano, G.2    Speriani, V.3    Umiltà, C.4
  • 43
    • 0346384291 scopus 로고
    • Controlled and automatic human information processing: I. Detection, search, and attention
    • Schneider W., Shiffrin R.M. Controlled and automatic human information processing: I. Detection, search, and attention. Psychological Review 1977, 84:1-66.
    • (1977) Psychological Review , vol.84 , pp. 1-66
    • Schneider, W.1    Shiffrin, R.M.2
  • 46
    • 0033764218 scopus 로고    scopus 로고
    • Understanding dissociations in dyscalculia: A brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation
    • 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 2000, 123:2240-2255.
    • (2000) Brain , vol.123 , pp. 2240-2255
    • Stanescu-Cosson, R.1    Pinel, P.2    Van De Moortele, P.F.3    Le Bihan, D.4    Cohen, L.5    Dehaene, S.6
  • 47
    • 33749642338 scopus 로고    scopus 로고
    • Encoding numbers: Behavioral evidence for processing-specific representations
    • Thevenot C., Barrouillet P. Encoding numbers: Behavioral evidence for processing-specific representations. Memory & Cognition 2006, 34(4):938-948.
    • (2006) Memory & Cognition , vol.34 , Issue.4 , pp. 938-948
    • Thevenot, C.1    Barrouillet, P.2
  • 48
    • 84855820200 scopus 로고    scopus 로고
    • Better elementary number processing in higher skilled arithmetic problem solvers: Evidence from the encoding step
    • Thevenot C., Barrouillet P., Castel C., Jimenez S. Better elementary number processing in higher skilled arithmetic problem solvers: Evidence from the encoding step. Quarterly Journal of Experimental Psychology 2011, 64:2110-2124.
    • (2011) Quarterly Journal of Experimental Psychology , vol.64 , pp. 2110-2124
    • Thevenot, C.1    Barrouillet, P.2    Castel, C.3    Jimenez, S.4
  • 50
  • 51
    • 35748982115 scopus 로고    scopus 로고
    • Retrieval or non-retrieval strategies in mental arithmetic? An operand-recognition paradigm
    • Thevenot C., Fanget M., Fayol M. Retrieval or non-retrieval strategies in mental arithmetic? An operand-recognition paradigm. Memory & Cognition 2007, 35:1344-1352.
    • (2007) Memory & Cognition , vol.35 , pp. 1344-1352
    • Thevenot, C.1    Fanget, M.2    Fayol, M.3
  • 53
    • 0036285762 scopus 로고    scopus 로고
    • Are multiplication facts implemented by the left supra marginal and angular gyri?
    • van Harskamp N.J., Rudge P., Cipolotti L. Are multiplication facts implemented by the left supra marginal and angular gyri?. Neuropsychologia 2002, 40:1786-1793.
    • (2002) Neuropsychologia , vol.40 , pp. 1786-1793
    • van Harskamp, N.J.1    Rudge, P.2    Cipolotti, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.