메뉴 건너뛰기




Volumn 142, Issue 1, 2013, Pages 193-208

Developmental change in numerical estimation

Author keywords

Cognitive development; Estimation; Number; Numerical cognition; Proportion

Indexed keywords

ARTICLE; CHILD; CHILD DEVELOPMENT; COMPREHENSION; CONCEPT FORMATION; DECISION MAKING; FEMALE; HUMAN; MALE; PHYSIOLOGY; PRESCHOOL CHILD; PROBLEM SOLVING; PSYCHOLOGICAL THEORY;

EID: 84877685639     PISSN: 00963445     EISSN: None     Source Type: Journal    
DOI: 10.1037/a0028560     Document Type: Article
Times cited : (173)

References (72)
  • 1
    • 84859646220 scopus 로고    scopus 로고
    • Cognitive processes of numerical estimation in children
    • doi:10.1016/j.jecp.2011.08.005
    • Ashcraft, M. H., & Moore, A. M. (2012). Cognitive processes of numerical estimation in children. Journal of Experimental Child Psychology, 111, 246-267. doi:10.1016/j.jecp.2011.08.005
    • (2012) Journal of Experimental Child Psychology , vol.111 , pp. 246-267
    • Ashcraft, M.H.1    Moore, A.M.2
  • 2
    • 33845366256 scopus 로고    scopus 로고
    • Cross-domain transfer of quantitative discriminations: Is it all a matter of proportion?
    • doi:10.3758/BF03193974
    • Balci, F., & Gallistel, C. R. (2006). Cross-domain transfer of quantitative discriminations: Is it all a matter of proportion? Psychonomic Bulletin & Review, 13, 636-642. doi:10.3758/BF03193974
    • (2006) Psychonomic Bulletin & Review , vol.13 , pp. 636-642
    • Balci, F.1    Gallistel, C.R.2
  • 3
    • 67349151695 scopus 로고    scopus 로고
    • Children's multiplicative transformations of discrete and continuous quantities
    • doi:10.1016/j.jecp .2009.01.014
    • Barth, H., Baron, A., Spelke, E., & Carey, S. (2009). Children's multiplicative transformations of discrete and continuous quantities. Journal of Experimental Child Psychology, 103, 441-454. doi:10.1016/j.jecp .2009.01.014
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 441-454
    • Barth, H.1    Baron, A.2    Spelke, E.3    Carey, S.4
  • 4
    • 78650141997 scopus 로고    scopus 로고
    • The development of numerical estimation: Evidence against a representational shift
    • doi:10.1111/j.1467-7687.2010.00962.x
    • Barth, H. C, & Paladino, A. M. (2011). The development of numerical estimation: Evidence against a representational shift. Developmental Science, 14, 125-135. doi:10.1111/j.1467-7687.2010.00962.x
    • (2011) Developmental Science , vol.14 , pp. 125-135
    • Barth H.C1    Paladino, A.M.2
  • 5
    • 80051915745 scopus 로고    scopus 로고
    • A sense of proportion: Commentary on Opfer, Siegler, and Young
    • doi:10.1111/j.1467-7687.2011.01081.x
    • Barth, H., Slusser, E., Cohen, D., & Paladino, A. (2011). A sense of proportion: Commentary on Opfer, Siegler, and Young. Developmental Science, 14, 1205-1206. doi:10.1111/j.1467-7687.2011.01081.x
    • (2011) Developmental Science , vol.14 , pp. 1205-1206
    • Barth, H.1    Slusser, E.2    Cohen, D.3    Paladino, A.4
  • 6
    • 67849095873 scopus 로고    scopus 로고
    • Children's mappings of large number words to numerosities
    • doi:10.1016/j.cogdev.2009.04.001
    • Barth, H., Starr, A., & Sullivan, J. (2009). Children's mappings of large number words to numerosities. Cognitive Development, 24, 248-264. doi:10.1016/j.cogdev.2009.04.001
    • (2009) Cognitive Development , vol.24 , pp. 248-264
    • Barth, H.1    Starr, A.2    Sullivan, J.3
  • 8
    • 31644448488 scopus 로고    scopus 로고
    • Developmental and individual differences in pure numerical estimation
    • doi:10.1037/0012-1649.41.6.189
    • Booth, J. L., & Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 42, 189-201. doi:10.1037/0012-1649.41.6.189
    • (2006) Developmental Psychology , vol.42 , pp. 189-201
    • Booth, J.L.1    Siegler, R.S.2
  • 9
    • 47249098350 scopus 로고    scopus 로고
    • Numerical magnitude representations influence arithmetic learning
    • doi: 10.1111/j.1467-8624.2008.01173.x
    • Booth, J. L., & Siegler, R. S. (2008). Numerical magnitude representations influence arithmetic learning. Child Development, 79, 1016-1031. doi: 10.1111/j.1467-8624.2008.01173.x
    • (2008) Child Development , vol.79 , pp. 1016-1031
    • Booth, J.L.1    Siegler, R.S.2
  • 10
    • 84855438267 scopus 로고    scopus 로고
    • Child proportional scaling: Is 1/3 = 2/6 = 3/9 = 4/12?
    • doi:10.1016/j.jecp.2011.11.001
    • Boyer, T. W., & Levine, S. C. (2012). Child proportional scaling: Is 1/3 = 2/6 = 3/9 = 4/12? Journal of Experimental Child Psychology, 111, 516-533. doi:10.1016/j.jecp.2011.11.001
    • (2012) Journal of Experimental Child Psychology , vol.111 , pp. 516-533
    • Boyer, T.W.1    Levine, S.C.2
  • 11
    • 54849428511 scopus 로고    scopus 로고
    • The development of proportional reasoning: Where young children go wrong
    • doi:10.1037/a0013110
    • Boyer, T. W., Levine, S. C, & Huttenlocher, J. (2008). The development of proportional reasoning: Where young children go wrong. Developmental Psychology, 44, 1478-1490. doi:10.1037/a0013110
    • (2008) Developmental Psychology , vol.44 , pp. 1478-1490
    • Boyer, T.W.1    Levine, S.C.2    Huttenlocher, J.3
  • 12
    • 0035347915 scopus 로고    scopus 로고
    • Numerical subtraction in the pigeon: Evidence for a linear subjective number scale
    • doi:10.1111/1467-9280.00342
    • Brannon, E. M., Wusthoff, C. J., Gallistel, C. R., & Gibbon, J. (2001). Numerical subtraction in the pigeon: Evidence for a linear subjective number scale. Psychological Science, 12, 238-243. doi:10.1111/1467-9280.00342
    • (2001) Psychological Science , vol.12 , pp. 238-243
    • Brannon, E.M.1    Wusthoff, C.J.2    Gallistel, C.R.3    Gibbon, J.4
  • 13
    • 0000131403 scopus 로고    scopus 로고
    • Cross-validation methods
    • doi:10.1006/jmps.1999.1279
    • Browne, M. W. (2000). Cross-validation methods. Journal of Mathematical Psychology, 44, 108-132. doi:10.1006/jmps.1999.1279
    • (2000) Journal of Mathematical Psychology , vol.44 , pp. 108-132
    • Browne, M.W.1
  • 15
    • 58149247832 scopus 로고    scopus 로고
    • Comment on Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures
    • doi: 10.1126/science.1164773
    • Cantlon, J. F., Cordes, S., Libertus, M. E., & Brannon, E. M. (2009). Comment on "Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures." Science, 323, 38b. doi: 10.1126/science.1164773
    • (2009) Science , vol.323
    • Cantlon, J.F.1    Cordes, S.2    Libertus, M.E.3    Brannon, E.M.4
  • 16
    • 79955775909 scopus 로고    scopus 로고
    • Numerical bias in bounded and unbounded number line tasks
    • doi:10.3758/s13423-011-0059-z
    • Cohen, D. J., & Blanc-Goldhammer, D. (2011). Numerical bias in bounded and unbounded number line tasks. Psychonomic Bulletin & Review, 18, 331-338. doi:10.3758/s13423-011-0059-z
    • (2011) Psychonomic Bulletin & Review , vol.18 , pp. 331-338
    • Cohen, D.J.1    Blanc-Goldhammer, D.2
  • 17
    • 0035756307 scopus 로고    scopus 로고
    • Variability signatures distinguish verbal from nonverbal counting for both large and small numbers
    • doi: 10.3758/BF03196206
    • Cordes, S., Gelman, R., Gallistel, C. R., & Whalen, J. (2001). Variability signatures distinguish verbal from nonverbal counting for both large and small numbers. Psychonomic Bulletin & Review, 8, 698-707. doi: 10.3758/BF03196206
    • (2001) Psychonomic Bulletin & Review , vol.8 , pp. 698-707
    • Cordes, S.1    Gelman, R.2    Gallistel, C.R.3    Whalen, J.4
  • 19
    • 45849104230 scopus 로고    scopus 로고
    • Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures
    • doi:10.1126/science.1156540
    • Dehaene, S., Izard, V., Spelke, E., & Pica, P. (2008). Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science, 320, 1217-1220. doi:10.1126/science.1156540
    • (2008) Science , vol.320 , pp. 1217-1220
    • Dehaene, S.1    Izard, V.2    Spelke, E.3    Pica, P.4
  • 20
    • 58149247832 scopus 로고    scopus 로고
    • Response to comment on Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures
    • doi:10.1126/science.1156540
    • Dehaene, S., Izard, V., Spelke, E., & Pica, P. (2009). Response to comment on "Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures." Science, 323, 38c. doi:10.1126/science.1156540
    • (2009) Science , vol.323
    • Dehaene, S.1    Izard, V.2    Spelke, E.3    Pica, P.4
  • 21
    • 33750345831 scopus 로고    scopus 로고
    • Children use categories to maximize estimation
    • doi:10.1111/j.1467-7687.2006.00538.x
    • Duffy, S., Huttenlocher, J., & Crawford, L. E. (2006). Children use categories to maximize estimation. Developmental Science, 9, 597-603. doi:10.1111/j.1467-7687.2006.00538.x
    • (2006) Developmental Science , vol.9 , pp. 597-603
    • Duffy, S.1    Huttenlocher, J.2    Crawford, L.E.3
  • 22
    • 33645227431 scopus 로고    scopus 로고
    • It is all relative: How young children encode extent
    • doi:10.1207/s15327647jcd0601_4
    • Duffy, S., Huttenlocher, J., & Levine, S. C. (2005). It is all relative: How young children encode extent. Journal of Cognition and Development, 6, 51-63. doi:10.1207/s15327647jcd0601_4
    • (2005) Journal of Cognition and Development , vol.6 , pp. 51-63
    • Duffy, S.1    Huttenlocher, J.2    Levine, S.C.3
  • 23
    • 36048981511 scopus 로고    scopus 로고
    • The relationship between the shape of the mental number line and familiarity with numbers in 5- to 9-year old children: Evidence for a segmented linear model
    • doi:10.1016/j.jecp.2007.08.006
    • Ebersbach, M., Luwel, K., Frick, A., Onghena, P., & Verschaffel, L. (2008). The relationship between the shape of the mental number line and familiarity with numbers in 5- to 9-year old children: Evidence for a segmented linear model. Journal of Experimental Child Psychology, 99, 1-17. doi:10.1016/j.jecp.2007.08.006
    • (2008) Journal of Experimental Child Psychology , vol.99 , pp. 1-17
    • Ebersbach, M.1    Luwel, K.2    Frick, A.3    Onghena, P.4    Verschaffel, L.5
  • 24
    • 0041023322 scopus 로고
    • Absolute judgments of discrete quantities randomly distributed over time
    • doi:10.1037/h0042698
    • Erlick, D. E. (1964). Absolute judgments of discrete quantities randomly distributed over time. Journal of Experimental Psychology, 67, 475-482. doi:10.1037/h0042698
    • (1964) Journal of Experimental Psychology , vol.67 , pp. 475-482
    • Erlick, D.E.1
  • 26
    • 0026902355 scopus 로고
    • Preverbal and verbal counting and computation
    • doi:10.1016/0010-0277(92)90050-R
    • Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74. doi:10.1016/0010-0277(92)90050-R
    • (1992) Cognition , vol.44 , pp. 43-74
    • Gallistel, C.R.1    Gelman, R.2
  • 27
    • 34547294996 scopus 로고    scopus 로고
    • Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability
    • doi:10.1111/j.1467-8624.2007.01069.x
    • 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. doi:10.1111/j.1467-8624.2007.01069.x
    • (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
  • 28
    • 45149098722 scopus 로고    scopus 로고
    • Development of number line representations in children with mathematical learning disability
    • doi:10.1080/87565640801982361
    • Geary, D. C., Hoard, M. K., Nugent, L., & Byrd-Craven, J. (2008). Development of number line representations in children with mathematical learning disability. Developmental Neuropsychology, 33, 277-299. doi:10.1080/87565640801982361
    • (2008) Developmental Neuropsychology , vol.33 , pp. 277-299
    • Geary, D.C.1    Hoard, M.K.2    Nugent, L.3    Byrd-Craven, J.4
  • 29
    • 0034222839 scopus 로고    scopus 로고
    • Bias in proportion judgments: The cyclical power model
    • doi: 10.1037/0033-295X.107.3.500
    • Hollands, J. G., & Dyre, B. P. (2000). Bias in proportion judgments: The cyclical power model. Psychological Review, 107, 500-524. doi: 10.1037/0033-295X.107.3.500
    • (2000) Psychological Review , vol.107 , pp. 500-524
    • Hollands, J.G.1    Dyre, B.P.2
  • 33
    • 38749152913 scopus 로고    scopus 로고
    • Calibrating the mental number line
    • doi:10.1016/j.cognition.2007.06.004
    • Izard, V., & Dehaene, S. (2008). Calibrating the mental number line. Cognition, 106, 1221-1247. doi:10.1016/j.cognition.2007.06.004
    • (2008) Cognition , vol.106 , pp. 1221-1247
    • Izard, V.1    Dehaene, S.2
  • 34
    • 34447275224 scopus 로고    scopus 로고
    • The development of proportional reasoning: Effect of continuous versus discrete quantities
    • doi:10.1080/15248370701202471
    • Jeong, Y., Levine, S. C., & Huttenlocher, J. (2007). The development of proportional reasoning: Effect of continuous versus discrete quantities. Journal of Cognition and Development, 8, 237-256. doi:10.1080/15248370701202471
    • (2007) Journal of Cognition and Development , vol.8 , pp. 237-256
    • Jeong, Y.1    Levine, S.C.2    Huttenlocher, J.3
  • 36
    • 84971768617 scopus 로고
    • Reconciling Fechner and Stevens: Toward a unified psychophysical law
    • doi: 10.1017/S0140525X0004855X
    • Krueger, L. E. (1989). Reconciling Fechner and Stevens: Toward a unified psychophysical law. Behavioral and Brain Sciences, 12, 251-267. doi: 10.1017/S0140525X0004855X
    • (1989) Behavioral and Brain Sciences , vol.12 , pp. 251-267
    • Krueger, L.E.1
  • 37
    • 0003945909 scopus 로고    scopus 로고
    • doi:10.1093/acprof:oso/9780198523420.001.0001 New York, NY: Oxford University Press
    • Laming, D. (1997). The measurement of sensation. New York, NY: Oxford University Press. doi:10.1093/acprof:oso/9780198523420.001.0001
    • (1997) The measurement of sensation.
    • Laming, D.1
  • 38
    • 35948988958 scopus 로고    scopus 로고
    • Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison
    • doi:10.1111/j.1467-8624.2007.01087.x
    • 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. doi:10.1111/j.1467-8624.2007.01087.x
    • (2007) Child Development , vol.78 , pp. 1723-1743
    • Laski, E.V.1    Siegler, R.S.2
  • 39
    • 26844508346 scopus 로고    scopus 로고
    • Preschool children's mapping of number words to nonsymbolic numerosities
    • doi:10.1111/j.1467-8624.2005.00891.x
    • Lipton, J. S., & Spelke, E. S. (2005). Preschool children's mapping of number words to nonsymbolic numerosities. Child Development, 76, 978-988. doi:10.1111/j.1467-8624.2005.00891.x
    • (2005) Child Development , vol.76 , pp. 978-988
    • Lipton, J.S.1    Spelke, E.S.2
  • 40
    • 84879804563 scopus 로고    scopus 로고
    • Straightening up: Number line estimates shift from log to linear with additional information
    • In L. Carlson, C. Hölscher, & T. Shipley (Eds.), Austin, TX: Cognitive Science Society
    • Matthews, P. G., & Chesney, D. (2011). Straightening up: Number line estimates shift from log to linear with additional information. In L. Carlson, C. Hölscher, & T. Shipley (Eds.), Proceedings of the 33rd Annual Conference of the Cognitive Science Society (pp. 1936-1941). Austin, TX: Cognitive Science Society.
    • (2011) Proceedings of the 33rd Annual Conference of the Cognitive Science Society , pp. 1936-1941
    • Matthews, P.G.1    Chesney, D.2
  • 41
    • 77954310671 scopus 로고    scopus 로고
    • Core multiplication in childhood
    • doi:10.1016/j.cognition.2010.05.003
    • McCrink, K., & Spelke, E. S. (2010). Core multiplication in childhood. Cognition, 116, 204-216. doi:10.1016/j.cognition.2010.05.003
    • (2010) Cognition , vol.116 , pp. 204-216
    • McCrink, K.1    Spelke, E.S.2
  • 42
    • 34547605313 scopus 로고    scopus 로고
    • Ratio abstraction by 6-month-old infants
    • doi:10.1111/j.1467-9280.2007.01969.x
    • McCrink, K., & Wynn, K. (2007). Ratio abstraction by 6-month-old infants. Psychological Science, 18, 740-745. doi:10.1111/j.1467-9280.2007.01969.x
    • (2007) Psychological Science , vol.18 , pp. 740-745
    • McCrink, K.1    Wynn, K.2
  • 43
    • 59949089538 scopus 로고    scopus 로고
    • Compressed scaling of abstract numerosity representations in adult humans and monkeys
    • doi:10.1162/jocn.2008.21032
    • Merten, K., & Nieder, A. (2009). Compressed scaling of abstract numerosity representations in adult humans and monkeys. Journal of Cognitive Neuroscience, 21, 333-346. doi:10.1162/jocn.2008.21032
    • (2009) Journal of Cognitive Neuroscience , vol.21 , pp. 333-346
    • Merten, K.1    Nieder, A.2
  • 44
    • 80052226428 scopus 로고    scopus 로고
    • Psychophysics of numerical representation: Why seemingly logarithmic representations may be multilinear
    • doi:10.1027/2151-2604/a000048
    • Moeller, K., & Nuerk, H.-C. (2011). Psychophysics of numerical representation: Why seemingly logarithmic representations may be multilinear. Zeitschrift für Psychologie, 219, 64-70. doi:10.1027/2151-2604/a000048
    • (2011) Zeitschrift für Psychologie , vol.219 , pp. 64-70
    • Moeller, K.1    Nuerk, H.-C.2
  • 45
    • 67349157137 scopus 로고    scopus 로고
    • Children's early mental number line: Logarithmic or decomposed linear?
    • doi:10.1016/j.jecp .2009.02.006
    • Moeller, K., Pixner, S., Kaufmann, L., & Nuerk, H.-C. (2009). Children's early mental number line: Logarithmic or decomposed linear? Journal of Experimental Child Psychology, 103, 503-515. doi:10.1016/j.jecp .2009.02.006
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 503-515
    • Moeller, K.1    Pixner, S.2    Kaufmann, L.3    Nuerk, H.-C.4
  • 46
    • 35348970362 scopus 로고    scopus 로고
    • Representational change and children's numerical estimation
    • doi: 10.1016/j.cogpsych.2006.09.002
    • Opfer, J. E., & Siegler, R. S. (2007). Representational change and children's numerical estimation. Cognitive Psychology, 55, 169-195. doi: 10.1016/j.cogpsych.2006.09.002
    • (2007) Cognitive Psychology , vol.55 , pp. 169-195
    • Opfer, J.E.1    Siegler, R.S.2
  • 47
    • 80051923031 scopus 로고    scopus 로고
    • The powers of noise-fitting: Reply to Barth and Paladino
    • doi:10.1111/j.1467-7687.2011.01070.x
    • Opfer, J. E., Siegler, R. S., & Young, C. J. (2011). The powers of noise-fitting: Reply to Barth and Paladino. Developmental Science, 14, 1194-1204. doi:10.1111/j.1467-7687.2011.01070.x
    • (2011) Developmental Science , vol.14 , pp. 1194-1204
    • Opfer, J.E.1    Siegler, R.S.2    Young, C.J.3
  • 48
    • 43749115741 scopus 로고    scopus 로고
    • The trouble with transfer: Insights from microgenetic changes in the representation of numerical magnitude
    • doi:10.1111/j.1467-8624.2008.01158.x
    • Opfer, J. E., & Thompson, C. A. (2008). The trouble with transfer: Insights from microgenetic changes in the representation of numerical magnitude. Child Development, 79, 788-804. doi:10.1111/j.1467-8624.2008.01158.x
    • (2008) Child Development , vol.79 , pp. 788-804
    • Opfer, J.E.1    Thompson, C.A.2
  • 50
    • 41149088873 scopus 로고    scopus 로고
    • Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games
    • doi: 10.1111/j.1467-8624.2007.01131.x
    • 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. doi: 10.1111/j.1467-8624.2007.01131.x
    • (2008) Child Development , vol.79 , pp. 375-394
    • Ramani, G.B.1    Siegler, R.S.2
  • 51
    • 0001999943 scopus 로고
    • The internal representation of numbers
    • doi: 10.1016/0010-0285(75)90006-7
    • Shepard, R. N., Kilpatric, D. W., & Cunningham, J. P. (1975). The internal representation of numbers. Cognitive Psychology, 7, 82-138. doi: 10.1016/0010-0285(75)90006-7
    • (1975) Cognitive Psychology , vol.7 , pp. 82-138
    • Shepard, R.N.1    Kilpatric, D.W.2    Cunningham, J.P.3
  • 53
    • 3142682172 scopus 로고    scopus 로고
    • Development of numerical estimation in young children
    • doi:10.1111/j.1467-8624.2004.00684.x
    • Siegler, R. S., & Booth, J. L. (2004). Development of numerical estimation in young children. Child Development, 75, 428-444. doi:10.1111/j.1467-8624.2004.00684.x
    • (2004) Child Development , vol.75 , pp. 428-444
    • Siegler, R.S.1    Booth, J.L.2
  • 54
    • 50249106315 scopus 로고    scopus 로고
    • Chinese children excel on novel mathematics problems even before elementary school
    • doi:10.1111/j.1467-9280.2008.02153.x
    • Siegler, R. S., & Mu, Y. (2008). Chinese children excel on novel mathematics problems even before elementary school. Psychological Science, 19, 759-763. doi:10.1111/j.1467-9280.2008.02153.x
    • (2008) Psychological Science , vol.19 , pp. 759-763
    • Siegler, R.S.1    Mu, Y.2
  • 55
    • 0042779722 scopus 로고    scopus 로고
    • The development of numerical estimation: Evidence for multiple representations of numerical quantity
    • doi:10.1111/1467-9280.02438
    • Siegler, R. S., & Opfer, J. E. (2003). The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science, 14, 237-243. doi:10.1111/1467-9280.02438
    • (2003) Psychological Science , vol.14 , pp. 237-243
    • Siegler, R.S.1    Opfer, J.E.2
  • 56
    • 67949106671 scopus 로고    scopus 로고
    • Playing linear number board games-but not circular ones-improves low-income preschoolers' numerical understanding
    • doi:10.1037/a0014239
    • Siegler, R. S., & Ramani, G. B. (2009). Playing linear number board games-but not circular ones-improves low-income preschoolers' numerical understanding. Journal of Educational Psychology, 101, 545-560. doi:10.1037/a0014239
    • (2009) Journal of Educational Psychology , vol.101 , pp. 545-560
    • Siegler, R.S.1    Ramani, G.B.2
  • 57
    • 68449091877 scopus 로고    scopus 로고
    • The logarithmic-to-linear shift: One learning sequence, many tasks, many time scales
    • doi:10.1111/j.1751-228X.2009.01064.x
    • Siegler, R. S., Thompson, C. A., & Opfer, J. E. (2009). The logarithmic-to-linear shift: One learning sequence, many tasks, many time scales. Mind, Brain, and Education, 3, 143-150. doi:10.1111/j.1751-228X.2009.01064.x
    • (2009) Mind, Brain, and Education , vol.3 , pp. 143-150
    • Siegler, R.S.1    Thompson, C.A.2    Opfer, J.E.3
  • 60
    • 0031514345 scopus 로고    scopus 로고
    • Proportional reasoning in young children: The parts and the whole of it
    • doi:10.1037/0022-0663.89.2.309
    • Sophian, C., & Wood, A. (1997). Proportional reasoning in young children: The parts and the whole of it. Journal of Educational Psychology, 89, 309-317. doi:10.1037/0022-0663.89.2.309
    • (1997) Journal of Educational Psychology , vol.89 , pp. 309-317
    • Sophian, C.1    Wood, A.2
  • 62
    • 21844515084 scopus 로고
    • Children's perception of proportion in graphs
    • doi:10.2307/1131314
    • Spence, I., & Krizel, P. (1994). Children's perception of proportion in graphs. Child Development, 65, 1193-1213. doi:10.2307/1131314
    • (1994) Child Development , vol.65 , pp. 1193-1213
    • Spence, I.1    Krizel, P.2
  • 63
    • 84989491909 scopus 로고
    • Children's proportional judgments: The importance of half
    • doi: 10.2307/1131121
    • Spinillo, A. G., & Bryant, P. (1991). Children's proportional judgments: The importance of "half." Child Development, 62, 427-440. doi: 10.2307/1131121
    • (1991) Child Development , vol.62 , pp. 427-440
    • Spinillo, A.G.1    Bryant, P.2
  • 64
    • 0011025448 scopus 로고    scopus 로고
    • Proportional reasoning in young children: Part-part comparisons about continuous and discontinuous quantity
    • doi:10.1080/135467999387298
    • Spinillo, A. G., & Bryant, P. (1999). Proportional reasoning in young children: Part-part comparisons about continuous and discontinuous quantity. Mathematical Cognition, 5, 181-197. doi:10.1080/135467999387298
    • (1999) Mathematical Cognition , vol.5 , pp. 181-197
    • Spinillo, A.G.1    Bryant, P.2
  • 65
    • 27644559461 scopus 로고
    • Ratio scales and category scales for a dozen perceptual continua
    • doi:10.1037/h0043680
    • Stevens, S. S., & Galanter, E. H. (1957). Ratio scales and category scales for a dozen perceptual continua. Journal of Experimental Psychology, 54, 377-411. doi:10.1037/h0043680
    • (1957) Journal of Experimental Psychology , vol.54 , pp. 377-411
    • Stevens, S.S.1    Galanter, E.H.2
  • 66
    • 80051922102 scopus 로고    scopus 로고
    • Adults' number-line estimation strategies: Evidence from eye movements
    • doi:10.3758/s13423-011-0081-1
    • Sullivan, J. L., Juhasz, B. J., Slattery, T. J., & Barth, H. C. (2011). Adults' number-line estimation strategies: Evidence from eye movements. Psycho-nomic Bulletin & Review, 18, 557-563. doi:10.3758/s13423-011-0081-1
    • (2011) Psycho-nomic Bulletin & Review , vol.18 , pp. 557-563
    • Sullivan, J.L.1    Juhasz, B.J.2    Slattery, T.J.3    Barth, H.C.4
  • 67
    • 0015792065 scopus 로고
    • Range effects in psychophysical scaling and a revision of Stevens' law
    • doi:10.2307/1421845
    • Teghtsoonian, R. (1973). Range effects in psychophysical scaling and a revision of Stevens' law. American Journal of Psychology, 86, 3-27. doi:10.2307/1421845
    • (1973) American Journal of Psychology , vol.86 , pp. 3-27
    • Teghtsoonian, R.1
  • 68
    • 78449284971 scopus 로고    scopus 로고
    • How 15 hundred is like 15 cherries: Effect of progressive alignment on representational changes in numerical cognition
    • doi:10.1111/j.1467-8624.2010.01509.x
    • Thompson, C. A., & Opfer, J. E. (2010). How 15 hundred is like 15 cherries: Effect of progressive alignment on representational changes in numerical cognition. Child Development, 81, 1768-1786. doi:10.1111/j.1467-8624.2010.01509.x
    • (2010) Child Development , vol.81 , pp. 1768-1786
    • Thompson, C.A.1    Opfer, J.E.2
  • 69
    • 84881251855 scopus 로고    scopus 로고
    • U.S. Census Bureau.State and county quickfacts [Population estimates]. Retrieved from
    • U.S. Census Bureau. (2000). State and county quickfacts [Population estimates]. Retrieved from http://quickfacts.census.gov/qfd/states/00000.html
    • (2000)
  • 72
    • 80052226429 scopus 로고    scopus 로고
    • Psychophysics of numerical representation: A unified approach to single- and multi-digit magnitude estimation
    • doi:10.1027/2151-2604/a000047
    • Young, C. J., & Opfer, J. E. (2011). Psychophysics of numerical representation: A unified approach to single- and multi-digit magnitude estimation. Zeitschrift für Psychologie, 219, 58-63. doi:10.1027/2151-2604/a000047
    • (2011) Zeitschrift für Psychologie , vol.219 , pp. 58-63
    • Young, C.J.1    Opfer, J.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.