메뉴 건너뛰기




Volumn 32, Issue 3, 2013, Pages 450-460

Young children's recognition of quantitative relations in mathematically unspecified settings

Author keywords

Focusing attention; Mathematical development; Quantitative relations; Young children

Indexed keywords


EID: 84880303426     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmathb.2013.06.001     Document Type: Article
Times cited : (25)

References (39)
  • 3
    • 54849428511 scopus 로고    scopus 로고
    • Development of proportional reasoning: Where young children go wrong
    • Boyer T.W., Levine S.C., Huttenlocher J. Development of proportional reasoning: Where young children go wrong. Developmental Psychology 2008, 44(5):1478-1490.
    • (2008) Developmental Psychology , vol.44 , Issue.5 , pp. 1478-1490
    • Boyer, T.W.1    Levine, S.C.2    Huttenlocher, J.3
  • 4
    • 33749842448 scopus 로고    scopus 로고
    • Foundations and opportunities for an interdisciplinary science of learning
    • Cambridge University Press, New York, K. Sawyer (Ed.)
    • Bransford J.D., Barron B., Pea R., Meltzoff A., Kuhl P., Bell P., et al. Foundations and opportunities for an interdisciplinary science of learning. The Cambridge handbook of the learning sciences 2006, 19-34. Cambridge University Press, New York. K. Sawyer (Ed.).
    • (2006) The Cambridge handbook of the learning sciences , pp. 19-34
    • Bransford, J.D.1    Barron, B.2    Pea, R.3    Meltzoff, A.4    Kuhl, P.5    Bell, P.6
  • 5
    • 33645394269 scopus 로고    scopus 로고
    • Bootstrapping and the origin of concepts
    • Carey S. Bootstrapping and the origin of concepts. Daedalus 2004, 133:59-68.
    • (2004) Daedalus , vol.133 , pp. 59-68
    • Carey, S.1
  • 6
    • 84875575818 scopus 로고    scopus 로고
    • An exploratory look at the relationships among math skills, motivational factors and activity choice
    • Edens K.M., Potter E.F. An exploratory look at the relationships among math skills, motivational factors and activity choice. Early Childhood Education Journal 2012, 10.1007/s10643-012-0540-y.
    • (2012) Early Childhood Education Journal
    • Edens, K.M.1    Potter, E.F.2
  • 8
    • 0000756510 scopus 로고    scopus 로고
    • Expert and exceptional performance: Evidence of maximal adaptation to task
    • Ericsson K.A., Lehmann A.C. Expert and exceptional performance: Evidence of maximal adaptation to task. Annual Review of Psychology 1996, 47:273-305.
    • (1996) Annual Review of Psychology , vol.47 , pp. 273-305
    • Ericsson, K.A.1    Lehmann, A.C.2
  • 9
    • 0036481546 scopus 로고    scopus 로고
    • Infants' discrimination of number vs continuous extent
    • Feigenson L., Carey S., Spelke E.S. Infants' discrimination of number vs continuous extent. Cognitive Psychology 2002, 44:33-66.
    • (2002) Cognitive Psychology , vol.44 , pp. 33-66
    • Feigenson, L.1    Carey, S.2    Spelke, E.S.3
  • 10
    • 0000666784 scopus 로고
    • Sharing and the understanding of number equivalence by young children
    • Frydman O., Bryant P. Sharing and the understanding of number equivalence by young children. Cognitive Development 1988, 3:323-339.
    • (1988) Cognitive Development , vol.3 , pp. 323-339
    • Frydman, O.1    Bryant, P.2
  • 11
    • 0026902355 scopus 로고
    • Preverbal and verbal counting and computation
    • Gallistel C.R., Gelman R. Preverbal and verbal counting and computation. Cognition 1992, 44:43-74.
    • (1992) Cognition , vol.44 , pp. 43-74
    • Gallistel, C.R.1    Gelman, R.2
  • 12
    • 4243337025 scopus 로고    scopus 로고
    • Preschoolers doing mathematics: Observations of everyday activities
    • National Council of Teachers of Mathematics, Reston, VA, J. Copley (Ed.)
    • Ginsburg H.P., Inoue N., Seo K.-H. Preschoolers doing mathematics: Observations of everyday activities. Mathematics in the early years 1999, 88-99. National Council of Teachers of Mathematics, Reston, VA. J. Copley (Ed.).
    • (1999) Mathematics in the early years , pp. 88-99
    • Ginsburg, H.P.1    Inoue, N.2    Seo, K.-H.3
  • 13
    • 80051925332 scopus 로고    scopus 로고
    • Some types of parent number talk count more than others: Relations between parents' input and children's number knowledge
    • Gunderson E.A., Levine S.C. Some types of parent number talk count more than others: Relations between parents' input and children's number knowledge. Developmental Science 2011, 14:1021-1032.
    • (2011) Developmental Science , vol.14 , pp. 1021-1032
    • Gunderson, E.A.1    Levine, S.C.2
  • 15
    • 19744363198 scopus 로고    scopus 로고
    • Spontaneous focusing on numerosity and mathematical skills of young children
    • Hannula M.M., Lehtinen E. Spontaneous focusing on numerosity and mathematical skills of young children. Learning and Instruction 2005, 15:237-256.
    • (2005) Learning and Instruction , vol.15 , pp. 237-256
    • Hannula, M.M.1    Lehtinen, E.2
  • 16
    • 77955550906 scopus 로고    scopus 로고
    • Spontaneous focusing on numerosity as a domain-specific predictor of arithmetical skills
    • Hannula M.M., Lepola J., Lehtinen E. Spontaneous focusing on numerosity as a domain-specific predictor of arithmetical skills. Journal of Experimental Child Psychology 2010, 107:394-406.
    • (2010) Journal of Experimental Child Psychology , vol.107 , pp. 394-406
    • Hannula, M.M.1    Lepola, J.2    Lehtinen, E.3
  • 17
    • 71549151365 scopus 로고    scopus 로고
    • Development of counting skills: Role of spontaneous focusing on numerosity and subitizing-based enumeration
    • Hannula M.M., Räsänen P., Lehtinen E. Development of counting skills: Role of spontaneous focusing on numerosity and subitizing-based enumeration. Mathematical Thinking and Learning 2007, 9:51-57.
    • (2007) Mathematical Thinking and Learning , vol.9 , pp. 51-57
    • Hannula, M.M.1    Räsänen, P.2    Lehtinen, E.3
  • 18
    • 34447275224 scopus 로고    scopus 로고
    • The development of proportional reasoning: Effect of continuous vs discrete quantities
    • Jeong Y., Levine S., Huttenlocher J. The development of proportional reasoning: Effect of continuous vs discrete quantities. Journal of Cognition and Development 2007, 8:237-256.
    • (2007) Journal of Cognition and Development , vol.8 , pp. 237-256
    • Jeong, Y.1    Levine, S.2    Huttenlocher, J.3
  • 21
    • 13844264286 scopus 로고    scopus 로고
    • Number concept and conceptual change: Towards a systemic model of the processes of change
    • Merenluoto K., Lehtinen E. Number concept and conceptual change: Towards a systemic model of the processes of change. Learning and Instruction 2004, 14:519-534.
    • (2004) Learning and Instruction , vol.14 , pp. 519-534
    • Merenluoto, K.1    Lehtinen, E.2
  • 23
    • 15944425784 scopus 로고    scopus 로고
    • Teaching and learning fraction and rational numbers: The origins and implications of whole number bias
    • Ni Y., Zhou K.Y. Teaching and learning fraction and rational numbers: The origins and implications of whole number bias. Educational Psychologist 2005, 40:27-52.
    • (2005) Educational Psychologist , vol.40 , pp. 27-52
    • Ni, Y.1    Zhou, K.Y.2
  • 25
    • 0000398501 scopus 로고
    • Partitioning: The emergence of rational number ideas in young children
    • Pothier Y., Sawada D. Partitioning: The emergence of rational number ideas in young children. Journal for Research in Mathematics Education 1983, 14:307-317.
    • (1983) Journal for Research in Mathematics Education , vol.14 , pp. 307-317
    • Pothier, Y.1    Sawada, D.2
  • 27
    • 0000268131 scopus 로고
    • From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge
    • Erlbaum, Hillsdale, G. Leinhardt, R. Putnam, R.A. Hattrup (Eds.)
    • Resnick L.B. From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge. Analysis of arithmetic for mathematics teaching 1992, 275-323. Erlbaum, Hillsdale. G. Leinhardt, R. Putnam, R.A. Hattrup (Eds.).
    • (1992) Analysis of arithmetic for mathematics teaching , pp. 275-323
    • Resnick, L.B.1
  • 28
    • 0041905329 scopus 로고    scopus 로고
    • Does half a pizza equal half a box of chocolates? Proportional matching in an analogy task
    • Singer-Freeman K.E., Goswami U. Does half a pizza equal half a box of chocolates? Proportional matching in an analogy task. Cognitive Development 2001, 16:811-829.
    • (2001) Cognitive Development , vol.16 , pp. 811-829
    • Singer-Freeman, K.E.1    Goswami, U.2
  • 29
    • 0034657337 scopus 로고    scopus 로고
    • Perceptions of proportionality in young children: Matching spatial ratios
    • Sophian C. Perceptions of proportionality in young children: Matching spatial ratios. Cognition 2000, 75:145-170.
    • (2000) Cognition , vol.75 , pp. 145-170
    • Sophian, C.1
  • 31
    • 0141852089 scopus 로고
    • Relational and representational aspects of early number development
    • Sophian C., Harley H., Manos C.S. Relational and representational aspects of early number development. Cognition and Instruction 1995, 13:253-268.
    • (1995) Cognition and Instruction , vol.13 , pp. 253-268
    • Sophian, C.1    Harley, H.2    Manos, C.S.3
  • 32
    • 0011025448 scopus 로고    scopus 로고
    • Proportional reasoning in young children: Part-part comparisons about continuous and discontinuous quantity
    • Spinillo A.G., Bryant P. Proportional reasoning in young children: Part-part comparisons about continuous and discontinuous quantity. Mathematical Cognition 1999, 5:181-197.
    • (1999) Mathematical Cognition , vol.5 , pp. 181-197
    • Spinillo, A.G.1    Bryant, P.2
  • 33
    • 0036853429 scopus 로고    scopus 로고
    • From sharing to dividing: Young children's understanding of division
    • Squire S., Bryant P. From sharing to dividing: Young children's understanding of division. Developmental Science 2002, 5:452-466.
    • (2002) Developmental Science , vol.5 , pp. 452-466
    • Squire, S.1    Bryant, P.2
  • 34
    • 1842659865 scopus 로고    scopus 로고
    • Early mathematical experiences: Observing young Black and White children's everyday activities
    • Tudge J.R.H., Doucet F. Early mathematical experiences: Observing young Black and White children's everyday activities. Early Childhood Research Quarterly 2004, 19:21-39.
    • (2004) Early Childhood Research Quarterly , vol.19 , pp. 21-39
    • Tudge, J.R.H.1    Doucet, F.2
  • 35
    • 13844264296 scopus 로고    scopus 로고
    • Understanding the structure of the set of rational numbers: A conceptual change approach
    • Vamvakoussi X., Vosniadou S. Understanding the structure of the set of rational numbers: A conceptual change approach. Learning and Instruction 2004, 14:453-467.
    • (2004) Learning and Instruction , vol.14 , pp. 453-467
    • Vamvakoussi, X.1    Vosniadou, S.2
  • 36
    • 84862993778 scopus 로고    scopus 로고
    • Naturally biased? In search for reaction time evidence for a natural number bias in adults
    • Vamvakoussi X., Van Dooren W., Verschaffel L. Naturally biased? In search for reaction time evidence for a natural number bias in adults. Journal of Mathematical Behavior 2012, 31:344-355.
    • (2012) Journal of Mathematical Behavior , vol.31 , pp. 344-355
    • Vamvakoussi, X.1    Van Dooren, W.2    Verschaffel, L.3
  • 37
    • 13844265835 scopus 로고    scopus 로고
    • Extending the conceptual change approach to mathematics learning and teaching
    • Vosniadou S., Verschaffel L. Extending the conceptual change approach to mathematics learning and teaching. Learning and Instruction 2004, 14:445-451.
    • (2004) Learning and Instruction , vol.14 , pp. 445-451
    • Vosniadou, S.1    Verschaffel, L.2
  • 38
    • 84855455980 scopus 로고    scopus 로고
    • Young children's judgments about the relative size of shared portions: The role of material type
    • Wing R.E., Beal C.R. Young children's judgments about the relative size of shared portions: The role of material type. Mathematical Thinking and Learning 2004, 6:1-14.
    • (2004) Mathematical Thinking and Learning , vol.6 , pp. 1-14
    • Wing, R.E.1    Beal, C.R.2
  • 39
    • 0026733446 scopus 로고
    • Addition and subtraction by human infants
    • Wynn K. Addition and subtraction by human infants. Nature 1992, 358:749-750.
    • (1992) Nature , vol.358 , pp. 749-750
    • Wynn, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.