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http://dx.doi.org/10.6115/fer.2017.036

Subitizing in Children and Adults, Depending on the Object Individuation Level of Stimulus: Focusing on Performance According to Spacing, Color, and Shape of Objects  

Kim, Bokyung (Department of Child Development and Family Studies, College of Human Ecology, Seoul National University)
Pack, Yun Hyun (Interdisciplinary Program in Early Childhood Education, College of Education, Seoul National University)
Yi, Soon Hyung (Department of Child Development and Family Studies, College of Human Ecology, Seoul National University)
Publication Information
Human Ecology Research / v.55, no.5, 2017 , pp. 491-505 More about this Journal
Abstract
This study investigated the development and core mechanism of subitizing in children and adults as well as provides related theoretical and practical discussions. This study was conducted to determine if subitizing changed with the age of participants and if there were differences in subitizing according to the spacing, color, and shape of the stimuli. The subitizing task set (including forty main trials) was prepared. Forty-five children (fifteen each in groups of 3, 4, and 5-year-olds) and fifteen adults were recruited to perform the subitizing tasks. The results demonstrated that the subitizing speed and accuracy of children improved abruptly between age 3 and age 4. Furthermore, there were significant differences in children's subitizing speed according to the spacing and color of the objects. The children's response time decreased when the objects were fully apart or were of diverse colors. In addition, there were partial significant differences in the subitizing speed of children related to the shape of the objects. The subitizing speed of children decreased in a condition (subitizing 5 objects of diverse colors in fixed spacing) when the shapes of the objects were diverse. The subitizing speed of adults only differed according to the space of the objects. The results demonstrate the development of subitizing in early childhood along with the presence of object individuation processing stages underlying subitizing. This study also provides practical information and suggestions for educational curricula that can strengthen the competency of children in systematic and diverse activities.
Keywords
subitizing; parallel individuation of objects; perceptual properties of stimulus; enumeration in children;
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1 Fischer, B., Gebhardt, C., & Hartnegg, K. (2008). Subitizing and visual counting in children with problems in acquiring basic arithmetic skills. Optometry & Vision Development, 39 (1), 24-29.
2 Gallistel, C. R., & Gelman, R. (1991). The preverbal counting process. In W. Kessen, A. Ortony, & F. I. M. Craik (Eds.), Thoughts, memories and emotions: Essays in honor of George Mandler (pp. 65-81). Hillsdale, NJ: Lawrence Erlbaum Associates.
3 Gelman, R. (1972). Logical capacity of very young children: Number invariance rules. Child Development, 43 (1), 75-90.   DOI
4 Gelman, R., & Gallistel, C. R. (1978). The child's understanding of number. Cambridge, MA: Harvard University Press.
5 Starkey, P. (1992). The early development of numerical reasoning. Cognition, 43 (2), 93-126. https://doi.org/10.1016/0010-0277(92)90034-F   DOI
6 Starkey, P., & Cooper, R. G. (1995). The development of subitizing in young children. British Journal of Developmental Psychology, 13 (4), 339-420. https://doi.org/10.1111/j.2044-835X.1995.tb00688.x   DOI
7 Svenson, O., & Sjöberg, K. (1978). Subitizing and counting processes in young children. Scandinavian Journal of Psychology, 19 (1), 247-250. https://doi.org/10.1111/j.1467-9450.1978.tb00327.x   DOI
8 Svenson, O., & Sjöberg, K. (1983). Speeds of subitizing and counting processes in different age groups. The Journal of Genetic Psychology, 142 (2), 203-211. http://dx.doi.org/10.1080/00221325.1983.10533512   DOI
9 Trick, L. M., & Pylyshyn, Z. W. (1993). What enumeration studies can show us about spatial attention: Evidence for limited capacity preattentive processing. Journal of Experimental Psychology: Human Perception and Performance, 19 (2), 331-351. http://dx.doi.org/10.1037/0096-1523.19.2.331   DOI
10 Gliksman, Y., Weinbach, N., & Henik, A. (2016). Alerting cues enhance the subitizing process. Acta Psychologica, 170 , 139-145. https://doi. org/10.1016/j.actpsy.2016.06.013   DOI
11 Hannula, M. M., Räsänen, P., & Lehtinen, E. (2007). Development of counting skills: Role of spontaneous focusing on numerosity and subitizing-based enumeration. Mathematical Thinking and Learning, 9 (1), 51-57. http://dx.doi.org/10.1207/s15327833mtl0901_4   DOI
12 Jeoung, S. (2010). The relationship between young children's subitizing capacity and measurement concept (Unpublished master's thesis). Wonkwang University, Jeonbuk, Korea.
13 Jung, H. W. (2016). The relationship between children's subitizing and ability to differentiate geometrical shapes (Unpublished master's thesis). Wonkwang University, Jeonbuk, Korea.
14 Jung, J. (2007). The effects of discrimination training of color, shape and size with a 9-year boy with developmental disability (Unpublished master's thesis). Daejin University, Gyeonggi-do, Korea.
15 Ahn, J. K. (2013). The relationship between children's subitizing and their mathematical conceptualization. Korean Journal of Early Childhood Education, 33 (1), 135-151.   DOI
16 Trick, L. M., & Pylyshyn, Z. W. (1994). Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. Psychological Review, 101 (1), 80-102. http://dx.doi.org/10.1037/0033-295X.101.1.80   DOI
17 Vuokko, E., Niemivirta, M., & Helenius, P. (2013). Cortical activation patterns during subitizing and counting. Brain Research, 1497, 40-52. https://doi.org/10.1016/j.brainres.2012.12.019   DOI
18 Wang, M. C., Resnick, L. B., & Boozer, R. F. (1971). The sequence of development of some early mathematics behaviors. Child Development, 42 (6), 1767-1778.   DOI
19 Ahn, C. K. (2009). The relationship between children's subitizing abilities and geometric conceptualization. Korean Journal of Early Childhood Education, 29 (2), 239-260.   DOI
20 Ahn, J. K., & Kim, Y. S. (2007). The relationship between children's subitizing and their counting. International Journal of Early Childhood Education, 13 (2), 27-43.
21 Kim, K. C. (1990). A theoretical study on young children’s counting. Korean Journal of Early Childhood Education, 10 , 67-83.
22 Jung, M. (2011). Number relationships in preschool. Teaching Children Mathematics, 17 (9), 550-557.
23 Kail, R., & Park, Y. (1992). Global developmental change in processing time. Merrill-Palmer Quarterly, 38 (4), 525-541.
24 Kaufman, E. L., Lord, M. W., Reese, T. W., & Volkmann, J. (1949). The discrimination of visual number. The American Journal of Psychology, 62 (4), 498-525. http://dx.doi.org/10.2307/1418556   DOI
25 Klahr, D., & Wallace, J. G. (1976). Cognitive development: An information processing view. Hillsdale, NJ: Lawrence Erlbaum.
26 Benoit, L., Lehalle, H., & Jouen, F. (2004). Do young children acquire number words through subitizing or counting? Cognitive Development, 19 (3), 291-307. https://doi.org/10.1016/j.cogdev.2004.03.005   DOI
27 Ansari, D., Lyons, I. M., van Eimeren, L., & Xu, F. (2007). Linking visual attention and number processing in the brain: The role of the temporo-parietal junction in small and large symbolic and nonsymbolic number comparison. Journal of Cognitive Neuroscience, 19 (11), 1845-1853. https://doi.org/10.1162/jocn.2007.19.11.1845   DOI
28 Arp, S., & Fagard, J. (2005). What impairs subitizing in cerebral palsied children? Developmental Psychobiology, 47 (1), 89-102. https://doi.org/10.1002/dev.20069   DOI
29 Baroody, A. J. (1987). Children's mathematical thinking: A developmental framework for preschool, primary, and special education teachers. NY: Teachers College Press.
30 Boysen, S. T., & Capaldi, E. J. (2014). The development of numerical competence: Animal and human models. NY: Psychology Press.
31 Chi, M. T. H., & Klahr, D. (1975). Span and rate of apprehension in children and adults. Journal of Experimental Child Psychology, 19 (3), 434-439. https://doi.org/10.1016/0022-0965(75)90072-7   DOI
32 Cho, B. W. (2014). An analysis of activities and contents in Nuri curriculum teaching guidebooks for mathematical education for three to five. Korean Journal of Child Studies, 35 (2), 137-156. https://doi.org/10.5723/KJCS.2014.35.2.137   DOI
33 Clements, D. H. (1999). Subitizing: What is it? Why teach it? Teaching Children Mathematics, 5 (7), 400-405.
34 Pagano, S., & Mazza, V. (2013). Multiple object individuation during numerical Stroop. Psychophysiology, 50 (3), 292-296. http://dx.doi.org/10.1111/psyp.12014   DOI
35 Kroesbergen, E. H., Van Luit, J. E. H., Van Lieshout, E. C. D. M., Van Loosbroek, E., & Van de Rijt, B. A. M. (2009). Individual differences in early numeracy: The role of executive functions and subitizing. Journal of Psychoeducational Assessment, 27 (3), 226-236.   DOI
36 Kwon, Y. S. (1993). Children's counting and matching in cardinal equivalence situations. The Korean journal of educational psychology, 7 (2), 1-31.
37 Mandler, G., & Shebo, B. J. (1982). Subitizing: An analysis of its component processes. Journal of Experimental Psychology: General, 111 (1), 1-22. http://dx.doi.org/10.1037/0096-3445.111.1.1   DOI
38 Park, H. J. (2009). Effects of mathematical activity with application of subitizing on young children's subitizing and mathematical concept (Unpublished master's thesis). Kunsan University, Jeonbuk, Korea.
39 Conderman, G., Jung, M., & Hartman, P. (2014). Subitizing and early mathematics standards: A winning combination. Kappa Delta Pi Record, 50 (1), 18-23. http://dx.doi.org/10.1080/00228958.2014.871686   DOI
40 Pagano, S., Lombardi, L., & Mazza, V. (2014). Brain dynamics of attention and working memory engagement in subitizing. Brain Research, 1543 , 244-252. https://doi.org/10.1016/ j.brainres.2013.11.025   DOI
41 Park, H. Y. (2015). The role of subitizing in the counting tasks of early elementary children. Journal of Future Early Childhood Education, 22 (2), 355-380.
42 Penner-Wilger, M., Fast, L., LeFevre, J., Smith-Chant, B. L., Skwarchuk, S., Kamawar, D., & Bisanz, J. (2007). The foundations of numeracy: Subitizing, finger gnosia, and fine-motor ability. In D. S. McNamara & J. G. Trafton (Eds.), Proceedings of the 29th annual cognitive science society (pp. 1385-1390). Austin, TX: Cognitive Science Society.
43 Piazza, M., Fumarola, A., Chinello, A., & Melcher, D. (2011). Subitizing reflects visuo-spatial object individuation capacity. Cognition, 121 (1), 147-153. https://doi.org/10.1016/j.cognition.2011.05.007   DOI
44 Douglass, H. R. (1925). The development of number concept in children of preschool and kindergarten ages. Journal of Experimental Psychology, 8 (6), 443-470. http://dx.doi.org/10.1037/h0065267   DOI
45 Cowan, N. (2001). The magical number 4 in short-term memory: A reconsideration of mental storage capacity. The Behavioral and Brain Sciences, 24 (1), 87-114. http://dx.doi.org/10.1017/S0140525X01003922   DOI
46 Dawson, D. T. (1953). Number grouping as a function of complexity. The Elementary School Journal, 54 (1), 35-42.   DOI
47 Dehaene, S., & Changeux, J. P. (2007). Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neuroscience, 5 (4), 390-407. http://dx.doi.org/10.1162/jocn.1993.5.4.390   DOI
48 Ester, E. F., Drew, T., Klee, D., Vogel, E. K., & Awh, E. (2012). Neural measures reveal a fixed item limit in subitizing. The Journal of Neuroscience, 32 (21), 7169-7177. https://doi.org/10.1523/JNEUROSCI.1218-12.2012   DOI
49 Feigenson, L., Dehaene, S., & Spelke, E. (2004). Core systems of number. Trends in Cognitive Sciences, 8 (7), 307-314. https://doi.org/10.1016/j.tics.2004.05.002   DOI
50 Potter, M. C., & Levy, E. I. (1968). Spatial enumeration without counting. Child Development, 39 (1), 265-272.   DOI
51 Schaaf, W. L. (1965). Basic concepts of elementary mathematics (2nd). NY: John Wiley & Sons.
52 Schleifer, P., & Landerl, K. (2011). Subitizing and counting in typical and atypical development. Developmental Science, 14 (2), 280-291. https://doi.org/10.1111/j.1467-7687.2010.00976.x   DOI
53 Seo, D. M., Yoon, E. M., & Mun, J. H. (2005). Number counting of children and their ideas about number counting. Early Childhood Education Research & Review, 9 (2), 169-187.