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Volumn 79, Issue 4, 2008, Pages 1016-1031

Numerical magnitude representations influence arithmetic learning

Author keywords

[No Author keywords available]

Indexed keywords

ACHIEVEMENT; ARTICLE; CHILD; EDUCATION; FEMALE; HUMAN; LEARNING; LONG TERM MEMORY; MALE; MATHEMATICS; SHORT TERM MEMORY;

EID: 47249098350     PISSN: 00093920     EISSN: 14678624     Source Type: Journal    
DOI: 10.1111/j.1467-8624.2008.01173.x     Document Type: Article
Times cited : (435)

References (44)
  • 1
    • 0026902617 scopus 로고
    • Cognitive arithmetic: A review of data and theory
    • Ashcraft, M. H 1992). Cognitive arithmetic: A review of data and theory. Cognition, 44, 75 106.
    • (1992) Cognition , vol.44 , pp. 75-106
    • Ashcraft, M.H.1
  • 2
    • 0005788484 scopus 로고
    • The production and verification tasks in mental addition: An empirical comparison
    • Ashcraft, M. H., Fierman, B. A. Bartolotta, R. (1984). The production and verification tasks in mental addition: An empirical comparison. Developmental Review, 4, 157 170.
    • (1984) Developmental Review , vol.4 , pp. 157-170
    • Ashcraft, M.H.1    Fierman, B.A.2    Bartolotta, R.3
  • 3
    • 0008669336 scopus 로고
    • Mastery of basic number combinations: Internalization of relationships or facts?
    • Baroody, A. J. (1985). Mastery of basic number combinations: Internalization of relationships or facts? Journal for Research in Mathematics Education, 16, 83 98.
    • (1985) Journal for Research in Mathematics Education , vol.16 , pp. 83-98
    • Baroody, A.J.1
  • 4
    • 21144459456 scopus 로고
    • Mental strategies and materials or models for addition and subtraction up to 100 in Dutch second grades
    • Beishuizen, M. (1993). Mental strategies and materials or models for addition and subtraction up to 100 in Dutch second grades. Journal for Research in Mathematics Education, 24, 294 323.
    • (1993) Journal for Research in Mathematics Education , vol.24 , pp. 294-323
    • Beishuizen, M.1
  • 5
    • 31644448488 scopus 로고    scopus 로고
    • Developmental and individual differences in pure numerical estimation
    • Booth, J. L. Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 41, 189 201.
    • (2006) Developmental Psychology , vol.41 , pp. 189-201
    • Booth, J.L.1    Siegler, R.S.2
  • 6
    • 24944550438 scopus 로고
    • The effects of premature drill on third grade arithmetic
    • Brownell, W. A. Chazal, C. B. (1935). The effects of premature drill on third grade arithmetic. Journal of Educational Research, 29, 17 28.
    • (1935) Journal of Educational Research , vol.29 , pp. 17-28
    • Brownell, W.A.1    Chazal, C.B.2
  • 7
    • 30544449116 scopus 로고    scopus 로고
    • The role of encoding in the self-explanation effect
    • Calin-Jageman, R. J. Ratner, H. H. (2005). The role of encoding in the self-explanation effect. Cognition and Instruction, 23, 523 543.
    • (2005) Cognition and Instruction , vol.23 , pp. 523-543
    • Calin-Jageman, R.J.1    Ratner, H.H.2
  • 11
    • 21844486071 scopus 로고
    • Cultural tools and mathematical learning: A case study
    • Cobb, P. (1995). Cultural tools and mathematical learning: A case study. Journal for Research in Mathematics Education, 26, 362 385.
    • (1995) Journal for Research in Mathematics Education , vol.26 , pp. 362-385
    • Cobb, P.1
  • 12
    • 33749248677 scopus 로고    scopus 로고
    • Does it all add up? Changes in children's knowledge of addition combinations, strategies, and principles
    • In. A. J. Baroody. A. Dowker (. Eds. pp.). Mahwah, NJ: Erlbaum.
    • Cowan, R. (2003). Does it all add up? Changes in children's knowledge of addition combinations, strategies, and principles. In A. J. Baroody A. Dowker (Eds The development of arithmetic concepts and skills: Constructing adaptive expertise (pp. 35 74). Mahwah, NJ : Erlbaum.
    • (2003) The Development of Arithmetic Concepts and Skills: Constructing Adaptive Expertise , pp. 35-74
    • Cowan, R.1
  • 13
    • 21344432811 scopus 로고    scopus 로고
    • Even more precisely assessing children's understanding of the order-irrelevance principle
    • Cowan, R., Dowker, A., Christakis, A. Bailey, S. (1996). Even more precisely assessing children's understanding of the order-irrelevance principle. Journal of Experimental Child Psychology, 62, 84 101.
    • (1996) Journal of Experimental Child Psychology , vol.62 , pp. 84-101
    • Cowan, R.1    Dowker, A.2    Christakis, A.3    Bailey, S.4
  • 14
    • 84868266019 scopus 로고    scopus 로고
    • Do they know what they are doing? Children's use of economical addition strategies and knowledge of commutativity
    • Cowan, R. Renton, M. (1996). Do they know what they are doing? Children's use of economical addition strategies and knowledge of commutativity. Educational Psychology, 16, 407 420.
    • (1996) Educational Psychology , vol.16 , pp. 407-420
    • Cowan, R.1    Renton, M.2
  • 16
    • 34548434575 scopus 로고    scopus 로고
    • Development of mathematical understanding
    • W. Damon. R. M. Lerner (Series Eds.) & D. Kuhn. R. S. Siegler (Vol. Eds.). New York: Wiley
    • Geary, D. C. (2006). Development of mathematical understanding. In W. Damon R. M. Lerner (Series Eds D. Kuhn R. S. Siegler (Vol. Eds Handbook of child psychology: Vol. 2: Cognition, perception, and language (6th ed., pp. 777 810). New York : Wiley.
    • (2006) Handbook of Child Psychology: Vol. 2: Cognition, Perception, and Language (6th Ed.) , pp. 777-810
    • Geary, D.C.1
  • 17
    • 34547294996 scopus 로고    scopus 로고
    • Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability
    • Geary, D. C., Hoard, M. K., Byrd-Craven, J., Nugent, L. Numtee, C. (2007). Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability. Child Development, 78, 1343 1359.
    • (2007) Child Development , vol.78 , pp. 1343-1359
    • Geary, D.C.1    Hoard, M.K.2    Byrd-Craven, J.3    Nugent, L.4    Numtee, C.5
  • 18
    • 45149098722 scopus 로고    scopus 로고
    • Development of number line representations in children with mathematical learning disability
    • in press).
    • Geary, D. C., Hoard, M. K., Nugent, L. Byrd-Craven, J. (in press). Development of number line representations in children with mathematical learning disability. Developmental Neuropsychology.
    • Developmental Neuropsychology.
    • Geary, D.C.1    Hoard, M.K.2    Nugent, L.3    Byrd-Craven, J.4
  • 19
    • 21844506163 scopus 로고
    • Educational development and developmental research in mathematics education
    • Gravemeijer, K. (1994). Educational development and developmental research in mathematics education. Journal for Research in Mathematics Education, 25, 443 471.
    • (1994) Journal for Research in Mathematics Education , vol.25 , pp. 443-471
    • Gravemeijer, K.1
  • 20
    • 84908989426 scopus 로고    scopus 로고
    • Number worlds: A research-based mathematics program for young children
    • In. D. H. Clements. J. Sarama (. Eds. pp.). Mahwah, NJ: Erlbaum.
    • Griffin, S. (2004). Number worlds: A research-based mathematics program for young children. In D. H. Clements J. Sarama (Eds Engaging young children in mathematics: Standards for early mathematics education (pp. 325 342). Mahwah, NJ : Erlbaum.
    • (2004) Engaging Young Children in Mathematics: Standards for Early Mathematics Education , pp. 325-342
    • Griffin, S.1
  • 22
    • 0002539311 scopus 로고
    • Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure
    • In. K. McGilly (. Ed. pp.). Cambridge, MA: MIT Press.
    • Griffin, S., Case, R. Siegler, R. (1994). Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure. In K. McGilly (Ed Classroom lessons: Integrating cognitive theory and classroom practice (pp. 25 49). Cambridge, MA : MIT Press.
    • (1994) Classroom Lessons: Integrating Cognitive Theory and Classroom Practice , pp. 25-49
    • Griffin, S.1    Case, R.2    Siegler, R.3
  • 25
    • 33644945381 scopus 로고    scopus 로고
    • Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties
    • Jordan, N. C., Kaplan, D., Olah, L. N. Locuniak, M. N. (2006). Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties. Child Development, 77, 153 175.
    • (2006) Child Development , vol.77 , pp. 153-175
    • Jordan, N.C.1    Kaplan, D.2    Olah, L.N.3    Locuniak, M.N.4
  • 27
    • 35948988958 scopus 로고    scopus 로고
    • Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison
    • Laski, E. V. Siegler, R. S. (2007). Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison. Child Development, 78, 1723 1743.
    • (2007) Child Development , vol.78 , pp. 1723-1743
    • Laski, E.V.1    Siegler, R.S.2
  • 30
    • 47249091653 scopus 로고    scopus 로고
    • Tales of a fourth grade misconception: U-shaped development in children's performance on equivalence problems
    • In. J. H. Bisanz (. Chair. Symposium conducted at the biennial meeting of the Society for Research in Child Development, Boston.
    • McNeill, N. M. (2007, March). Tales of a fourth grade misconception: U-shaped development in children's performance on equivalence problems. In J. H. Bisanz (Chair Overcoming misconceptions: Mechanisms of positive change for a common mathematical misunderstanding. Symposium conducted at the biennial meeting of the Society for Research in Child Development, Boston.
    • (2007) Overcoming Misconceptions: Mechanisms of Positive Change for A Common Mathematical Misunderstanding.
    • McNeill, N.M.1
  • 31
    • 0003865799 scopus 로고    scopus 로고
    • National Council of Teachers of Mathematics. Reston, VA: Author.
    • National Council of Teachers of Mathematics 2000). Principles and standards for school mathematics. Reston, VA : Author.
    • (2000) Principles and Standards for School Mathematics.
  • 33
    • 0002961741 scopus 로고    scopus 로고
    • The effect of explaining another's actions on children's implicit theories of balance
    • Pine, K. J. Messer, D. J. (2000). The effect of explaining another's actions on children's implicit theories of balance. Cognition and Instruction, 18, 35 51.
    • (2000) Cognition and Instruction , vol.18 , pp. 35-51
    • Pine, K.J.1    Messer, D.J.2
  • 34
    • 41149088873 scopus 로고    scopus 로고
    • Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games
    • Ramani, G. B. Siegler, R. S. (2008). Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games. Child Development, 79, 375 394.
    • (2008) Child Development , vol.79 , pp. 375-394
    • Ramani, G.B.1    Siegler, R.S.2
  • 35
    • 0036133905 scopus 로고    scopus 로고
    • The role of collaborative planning in children's source-monitoring errors and learning
    • Ratner, H. H., Foley, M. A. Gimpert, N. (2002). The role of collaborative planning in children's source-monitoring errors and learning. Journal of Experimental Psychology, 81, 44 73.
    • (2002) Journal of Experimental Psychology , vol.81 , pp. 44-73
    • Ratner, H.H.1    Foley, M.A.2    Gimpert, N.3
  • 37
    • 0011989846 scopus 로고    scopus 로고
    • Representations in the mathematics classroom: Reflections and constructions
    • In. F. Seeger, U. Waschescio. J. Voight (. Eds. pp.). New York: Cambridge University Press.
    • Seeger, F. (1998). Representations in the mathematics classroom: Reflections and constructions. In F. Seeger, U. Waschescio J. Voight (Eds The culture of the mathematics classroom (pp. 308 343). New York : Cambridge University Press.
    • (1998) The Culture of the Mathematics Classroom , pp. 308-343
    • Seeger, F.1
  • 38
    • 0029320238 scopus 로고
    • How does change occur: A microgenetic study of number conservation
    • Siegler, R. S. (1995). How does change occur: A microgenetic study of number conservation. Cognitive Psychology, 28, 225 273.
    • (1995) Cognitive Psychology , vol.28 , pp. 225-273
    • Siegler, R.S.1
  • 39
    • 12444255767 scopus 로고    scopus 로고
    • Microgenetic studies of self-explanations
    • In. N. Granott. J. Parziale (. Eds. pp.). New York: Cambridge University.
    • Siegler, R. S. (2002). Microgenetic studies of self-explanations. In N. Granott J. Parziale (Eds Microdevelopment: Transition processes in development and learning (pp. 31 58). New York : Cambridge University.
    • (2002) Microdevelopment: Transition Processes in Development and Learning , pp. 31-58
    • Siegler, R.S.1
  • 40
    • 3142682172 scopus 로고    scopus 로고
    • Development of numerical estimation in young children
    • Siegler, R. S. Booth, J. L. (2004). Development of numerical estimation in young children. Child Development, 75, 428 444.
    • (2004) Child Development , vol.75 , pp. 428-444
    • Siegler, R.S.1    Booth, J.L.2
  • 41
    • 0042779722 scopus 로고    scopus 로고
    • The development of numerical estimation: Evidence for multiple representations of numerical quantity
    • Siegler, R. S. Opfer, J. E. (2003). The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science, 14, 237 243.
    • (2003) Psychological Science , vol.14 , pp. 237-243
    • Siegler, R.S.1    Opfer, J.E.2
  • 42
    • 0001456746 scopus 로고
    • Effect of manipulative materials in mathematics instruction
    • Sowell, E. J. (1989). Effect of manipulative materials in mathematics instruction. Journal for Research in Mathematics Education, 20, 498 505.
    • (1989) Journal for Research in Mathematics Education , vol.20 , pp. 498-505
    • Sowell, E.J.1


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