메뉴 건너뛰기




Volumn 26, Issue 2, 2001, Pages 227-248

Systematic Mathematical Errors and Cognitive Load

Author keywords

Cognitive load; Mathematical errors; Working memory failure

Indexed keywords


EID: 0042210946     PISSN: 0361476X     EISSN: None     Source Type: Journal    
DOI: 10.1006/ceps.2000.1051     Document Type: Article
Times cited : (77)

References (44)
  • 2
    • 0002182185 scopus 로고
    • Cognitive psychology and simple arithmetic: A review and summary of new directions
    • Ashcraft M. H. Cognitive psychology and simple arithmetic: A review and summary of new directions. Mathematical Cognition. 1:1995;3-34.
    • (1995) Mathematical Cognition , vol.1 , pp. 3-34
    • Ashcraft, M.H.1
  • 5
    • 38249003863 scopus 로고
    • Why goal-free problems can facilitate learning
    • Ayres P. Why goal-free problems can facilitate learning. Contemporary Educational Psychology. 18:1993;376-381.
    • (1993) Contemporary Educational Psychology , vol.18 , pp. 376-381
    • Ayres, P.1
  • 6
    • 0346279202 scopus 로고
    • Locus of difficulty in multi-stage mathematics problems
    • Ayres P., Sweller J. Locus of difficulty in multi-stage mathematics problems. American Journal of Psychology. 103:1990;167-193.
    • (1990) American Journal of Psychology , vol.103 , pp. 167-193
    • Ayres, P.1    Sweller, J.2
  • 8
    • 0018235476 scopus 로고
    • Diagnostic models for procedural bugs in basic mathematical skills
    • Brown A. L., Burton R. R. Diagnostic models for procedural bugs in basic mathematical skills. Cognitive Science. 2:1978;155-192.
    • (1978) Cognitive Science , vol.2 , pp. 155-192
    • Brown, A.L.1    Burton, R.R.2
  • 9
    • 0000356550 scopus 로고
    • Mechanisms of simple addition and multiplication: A modified network-interference theory and simulation
    • Campbell J. I. D. Mechanisms of simple addition and multiplication: A modified network-interference theory and simulation. Mathematical Cognition. 1:1995;121-164.
    • (1995) Mathematical Cognition , vol.1 , pp. 121-164
    • Campbell, J.I.D.1
  • 10
    • 0002615502 scopus 로고
    • Age-related declines in working-memory skills: Evidence from a complex calculation task
    • Campbell J. I. D., Charness N. Age-related declines in working-memory skills: Evidence from a complex calculation task. Developmental Psychology. 26:1990;879-888.
    • (1990) Developmental Psychology , vol.26 , pp. 879-888
    • Campbell, J.I.D.1    Charness, N.2
  • 12
    • 77956739679 scopus 로고
    • Representation and retrieval of arithmetic facts: A network-interference model and simulation
    • J. I. D. Campbell. Amsterdam: Elsevier
    • Campbell J. I. D., Oliphant M. Representation and retrieval of arithmetic facts: A network-interference model and simulation. Campbell J. I. D. Advances in psychology: The nature and origins of mathematical skills. 1992;331-364 Elsevier, Amsterdam.
    • (1992) Advances in Psychology: The Nature and Origins of Mathematical Skills , pp. 331-364
    • Campbell, J.I.D.1    Oliphant, M.2
  • 13
    • 21844506281 scopus 로고
    • Using worked examples as an instructional support in the algebra classroom
    • Carroll W. M. Using worked examples as an instructional support in the algebra classroom. Journal of Educational Psychology. 86:1994;360-367.
    • (1994) Journal of Educational Psychology , vol.86 , pp. 360-367
    • Carroll, W.M.1
  • 15
    • 77956789938 scopus 로고
    • Inhibitory mechanisms in normal and dysfunctional number processing
    • J. I. D. Campbell. Amsterdam: Elsevier
    • Clark J. M. Inhibitory mechanisms in normal and dysfunctional number processing. Campbell J. I. D. Advances in psychology: The nature and origins of mathematical skills. 1992;411-456 Elsevier, Amsterdam.
    • (1992) Advances in Psychology: The Nature and Origins of Mathematical Skills , pp. 411-456
    • Clark, J.M.1
  • 16
    • 0000991183 scopus 로고
    • The influence of verbal protocol methods on children's mental computation
    • Cooney J. B., Ladd S. F. The influence of verbal protocol methods on children's mental computation. Learning and Individual Differences. 4:1992;237-257.
    • (1992) Learning and Individual Differences , vol.4 , pp. 237-257
    • Cooney, J.B.1    Ladd, S.F.2
  • 17
    • 84963179326 scopus 로고
    • Arithmetic problems formulation and working memory load
    • Fayol M., Abdi H., Gombert J. E. Arithmetic problems formulation and working memory load. Cognition and Instruction. 4:1987;187-202.
    • (1987) Cognition and Instruction , vol.4 , pp. 187-202
    • Fayol, M.1    Abdi, H.2    Gombert, J.E.3
  • 19
    • 0002723557 scopus 로고    scopus 로고
    • The problem-size effect in mental addition: Development and cross-national trends
    • Geary D. C. The problem-size effect in mental addition: Development and cross-national trends. Mathematical Cognition. 2:1996;63-93.
    • (1996) Mathematical Cognition , vol.2 , pp. 63-93
    • Geary, D.C.1
  • 21
    • 0001187708 scopus 로고
    • The role of short-term working memory in mental arithmetic
    • Hitch G. J. The role of short-term working memory in mental arithmetic. Cognitive Psychology. 10:1978;302-323.
    • (1978) Cognitive Psychology , vol.10 , pp. 302-323
    • Hitch, G.J.1
  • 24
    • 0021907853 scopus 로고
    • Understanding and solving word arithmetic problems
    • Kintsch W., Greeno J. G. Understanding and solving word arithmetic problems. Psychological Review. 92:1985;109-129.
    • (1985) Psychological Review , vol.92 , pp. 109-129
    • Kintsch, W.1    Greeno, J.G.2
  • 26
    • 85085421211 scopus 로고
    • Robust performance in algebra: The role of the problem representation
    • S. Wagner, & C. Kieran. Hillsdale: Erlbaum
    • Larkin J. H. Robust performance in algebra: The role of the problem representation. Wagner S., Kieran C. Research issues in the learning and teaching of algebra. 1989;120-134 Erlbaum, Hillsdale.
    • (1989) Research Issues in the Learning and Teaching of Algebra , pp. 120-134
    • Larkin, J.H.1
  • 27
    • 0028239616 scopus 로고
    • Counting on working memory in arithmetic problem solving
    • Logie R. H., Gilhooly K. J., Wynn V. Counting on working memory in arithmetic problem solving. Memory & Cognition. 22:1994;395-410.
    • (1994) Memory & Cognition , vol.22 , pp. 395-410
    • Logie, R.H.1    Gilhooly, K.J.2    Wynn, V.3
  • 29
    • 0348169976 scopus 로고
    • New knowledge about errors and new views about learners: What they mean to educators and more educators would like to know
    • A. H. Schoenfeld. Hillsdale: Erlbaum
    • Maurer S. B. New knowledge about errors and new views about learners: What they mean to educators and more educators would like to know. Schoenfeld A. H. Cognitive science and mathematics education. 1987;Erlbaum, Hillsdale.
    • (1987) Cognitive Science and Mathematics Education
    • Maurer, S.B.1
  • 31
    • 0032396526 scopus 로고    scopus 로고
    • A split-attention effect in multimedia learning: Evidence for dual processing systems in working memory
    • Mayer R. E., Moreno R. A split-attention effect in multimedia learning: Evidence for dual processing systems in working memory. Journal of Educational Psychology. 90:1998;312-320.
    • (1998) Journal of Educational Psychology , vol.90 , pp. 312-320
    • Mayer, R.E.1    Moreno, R.2
  • 32
    • 0000129405 scopus 로고
    • What do students learn while solving mathematics problems?
    • Owen E., Sweller J. What do students learn while solving mathematics problems? Journal of Educational Psychology. 77:1985;272-284.
    • (1985) Journal of Educational Psychology , vol.77 , pp. 272-284
    • Owen, E.1    Sweller, J.2
  • 33
    • 33846580222 scopus 로고
    • Variability of worked examples and transfer of geometrical problem-solving skills: A cognitive-load approach
    • Paas F. G. W. C., van Merrienboer J. J. G. Variability of worked examples and transfer of geometrical problem-solving skills: A cognitive-load approach. Journal of Educational Psychology. 86:1994;122-133.
    • (1994) Journal of Educational Psychology , vol.86 , pp. 122-133
    • Paas, F.G.W.C.1    Van Merrienboer, J.J.G.2
  • 34
    • 21144467595 scopus 로고
    • Cognitive load, schema acquisition, and procedural adaptation in non-isomorphic analogical transfer
    • Pierce K. A., Duncan M. K., Gholson B., Ray G. E., Kamhi A. G. Cognitive load, schema acquisition, and procedural adaptation in non-isomorphic analogical transfer. Journal of Educational Psychology. 85:1993;66-74.
    • (1993) Journal of Educational Psychology , vol.85 , pp. 66-74
    • Pierce, K.A.1    Duncan, M.K.2    Gholson, B.3    Ray, G.E.4    Kamhi, A.G.5
  • 38
    • 84963474629 scopus 로고
    • The use of worked examples as a substitute for problem solving in learning algebra
    • Sweller J., Cooper G. The use of worked examples as a substitute for problem solving in learning algebra. Cognition and Instruction. 2:1985;59-89.
    • (1985) Cognition and Instruction , vol.2 , pp. 59-89
    • Sweller, J.1    Cooper, G.2
  • 41
    • 0029249268 scopus 로고
    • Is there a relationship between task demand and storage space in tests of working memory capacity?
    • Towse J. N., Hitch G. J. Is there a relationship between task demand and storage space in tests of working memory capacity? Quarterly Journal of Experimental Psychology. 48A:1995;108-124.
    • (1995) Quarterly Journal of Experimental Psychology , vol.48 , pp. 108-124
    • Towse, J.N.1    Hitch, G.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.