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    초등 저학년 셈하기 과제 수행에서의 직지하기의 역할 = The Role of Subitizing in the Counting Tasks of Early Elementary Children

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    https://www.riss.kr/link?id=A100517200

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    Based on the theoretical frameworks of Core Knowledge theory and subitizing theory, this paper analyzed the number-counting strategies of early elementary school children. To investigate the research problems, the author administered 3-level(A, B, C) subitizing tests for two age-groups(8- and 10- year olds) and conducted interviews asking their strategies for solution. For each test, the participating children were asked to respond to the test materials, which showed various numbers of dots; all the participants` answers and the duration time of their responses were recorded and analyzed. The analysis of this paper was two-fold: the quantitative analysis of their response times and the qualitative analysis of their explanations about how they subitized when they counted the dots. The result of this paper were as follows: Firstly, there was no significant difference of accuracy and response time for Test A, while there were differences in response time and strategies for Test B and C. Secondly, most of the participants extended subitizing units as the level of test complicated(e.g., A: 2+3, 4+1, B: 3+3+2, 4+4, 2+3+4, and C: 3×3, 5×5, ‘7+7’ב3+3’). Finally, the findings of this paper signifies that older children showed better performance in pattern recognition and concentration which actually help them to increase accuracy and speed in their subitizing.
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    Based on the theoretical frameworks of Core Knowledge theory and subitizing theory, this paper analyzed the number-counting strategies of early elementary school children. To investigate the research problems, the author administered 3-level(A, B, C) ...

    Based on the theoretical frameworks of Core Knowledge theory and subitizing theory, this paper analyzed the number-counting strategies of early elementary school children. To investigate the research problems, the author administered 3-level(A, B, C) subitizing tests for two age-groups(8- and 10- year olds) and conducted interviews asking their strategies for solution. For each test, the participating children were asked to respond to the test materials, which showed various numbers of dots; all the participants` answers and the duration time of their responses were recorded and analyzed. The analysis of this paper was two-fold: the quantitative analysis of their response times and the qualitative analysis of their explanations about how they subitized when they counted the dots. The result of this paper were as follows: Firstly, there was no significant difference of accuracy and response time for Test A, while there were differences in response time and strategies for Test B and C. Secondly, most of the participants extended subitizing units as the level of test complicated(e.g., A: 2+3, 4+1, B: 3+3+2, 4+4, 2+3+4, and C: 3×3, 5×5, ‘7+7’ב3+3’). Finally, the findings of this paper signifies that older children showed better performance in pattern recognition and concentration which actually help them to increase accuracy and speed in their subitizing.

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    참고문헌 (Reference)

    1 박휴용, "인지수준이론과 핵심지식이론을 통해 본초기 유아의 수 개념 발달" 한국유아교육학회 35 (35): 29-51, 2015

    2 안진경, "유아의 즉지하기와 수학적 개념과의 관계" 한국유아교육학회 33 (33): 135-151, 2013

    3 Dehaene, S., "What Are Numbers, Really?: A Cerebral Basis For Number Sense (EDGE 28—October 27)"

    4 Scholl, B. J., "Tracking multiple items through occlusion : Clues to visual objecthood" 38 : 259-290, 1999

    5 Dehaene, S., "The number sense: How the mind creates mathematics" Oxford University Press 2011

    6 Kaufman, E. L., "The discrimination of visual number" 62 (62): 498-525, 1949

    7 Boysen, S. T., "The development of numerical competence: Animal and human models" Psychology Press 2014

    8 Miller, D. J., "The development of numerical competence: Animal and human models" Lawrence Erlbaum 149-169, 1993

    9 Douglass, H. R., "The development of number concept in children of preschool and kindergarten ages" 8 : 443-470, 1925

    10 Wang, M., "The Sequence of Development of Some Early Mathematics Behaviors" 42 : 1767-1778, 1971

    1 박휴용, "인지수준이론과 핵심지식이론을 통해 본초기 유아의 수 개념 발달" 한국유아교육학회 35 (35): 29-51, 2015

    2 안진경, "유아의 즉지하기와 수학적 개념과의 관계" 한국유아교육학회 33 (33): 135-151, 2013

    3 Dehaene, S., "What Are Numbers, Really?: A Cerebral Basis For Number Sense (EDGE 28—October 27)"

    4 Scholl, B. J., "Tracking multiple items through occlusion : Clues to visual objecthood" 38 : 259-290, 1999

    5 Dehaene, S., "The number sense: How the mind creates mathematics" Oxford University Press 2011

    6 Kaufman, E. L., "The discrimination of visual number" 62 (62): 498-525, 1949

    7 Boysen, S. T., "The development of numerical competence: Animal and human models" Psychology Press 2014

    8 Miller, D. J., "The development of numerical competence: Animal and human models" Lawrence Erlbaum 149-169, 1993

    9 Douglass, H. R., "The development of number concept in children of preschool and kindergarten ages" 8 : 443-470, 1925

    10 Wang, M., "The Sequence of Development of Some Early Mathematics Behaviors" 42 : 1767-1778, 1971

    11 Fitzhugh, J. I., "The Role of Subitizing and Counting in the Development of the Young Children's Conception of Small Numbers" 1978

    12 Starkey, P., "The Early Development of Numerical Reasoning" 43 (43): 93-126, 1992

    13 Brownell, W. A., "The Development of Children's Number Ideas in the Primary Grades" University of Chicago 1928

    14 Minsky, M., "The Computer Culture" Associated University Press 1985

    15 Gelman, R., "The Child’s Understanding of Number" Harvard University Press 1978

    16 Clements, D. H. ., "Subitizing: What Is It? Why Teach It?" The National Council of Teachers of Mathmatics 400-405, 1999

    17 Silverman, I. W., "Subitizing and Counting Skills in 3-Year-Olds" 16 : 539-540, 1980

    18 Dehaene, S., "Sources of mathematical thinking : Behavioral and brain-imaging evidence" 284 (284): 970-974, 1999

    19 Carper, D. V., "Seeing numbers as groups in primary-grade arithmetic" 43 : 166-170, 1942

    20 Beckwith, M., "Process of enumeration" 73 : 437-443, 1966

    21 Davis, R. B., "Numerical competence in animals : Definitional issues, current evidence, and a new research agenda" 1 : 561-579, 1988

    22 Dawsan, D. T., "Number grouping as a function of complexity" 54 : 35-42, 1953

    23 Fuson, K. C., "Handbook of Research on Mathematics Teaching and Learning" Macmillan 243-275, 1992

    24 Freeman, F. N., "Grouped Objects as a Concrete Basis for the Number Idea" 8 : 300-314, 1912

    25 Resnick, L. B., "Developing mathematical knowledge" 44 (44): 162-169, 1989

    26 Spelke, E. S., "Core knowledge" 55 (55): 12-33, 2000

    27 Steffe, L. P., "Construction of Arithmetical Meanings and Strategies" Springer-Verlag 1988

    28 Baroody, A. J., "Conceptual and Procedural Knowledge: The Case of Mathematics" Lawrence Erlbaum 75-112, 1986

    29 Klahr, D., "Cognitive Development: An Information Processing View" Lawrence Erlbaum 1976

    30 Geary, D. C., "Children’s Mathematical Development: Research and Practical Applications" American Psychological Association 1994

    31 Klein, A., "Children's Mathematics" Jossey-Bass 27-54, 1988

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