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The Effects of Counting Ability on Young Children's Mathematical Ability and Mathematical Learning Potential

수세기 능력이 유아의 수학능력과 수학학습잠재력에 미치는 영향

  • 최혜진 (강릉원주대학교 유아교육과) ;
  • 조은래 (부산대학교 유아교육학과) ;
  • 김선영 (강릉원주대학교 유아교육과)
  • Received : 2012.10.31
  • Accepted : 2013.02.06
  • Published : 2013.02.28

Abstract

The purpose of this study was to examine the effects of counting ability on young children's mathematical ability and mathematical learning potential. The subjects in this study were 75 young children of 4 & 5 years old who attended kindergartens and child care center in the city of B. They were evaluated in terms of counting ability, mathematical ability and mathematical learning potential(training and transfer) and the correlation between sub-factors and their relative influence on the partipants' mathematical ability was then analyzed. The findings of the study were as follows : First, there was a close correlation between the sub-factors of counting and those of mathematical ability. As a result of checking the relative influence of the sub-factors of counting on mathematical ability, reverse counting was revealed to have the largest impact on total mathematical ability scores and each sub-factors including algebra, number and calculation, geometry and measurement. Second, the results revealed a strong correlation between counting ability and mathematical learning ability. Regarding the size of the relative influence of the sub-factors of counting ability on training scores, reverse counting was found to be most influential, followed by continuous counting. While in relation to transfer scores, reverse counting was found to exert the greatest influence.

Keywords

References

  1. Budoff(1987). The validity of learning potential. In C. S. Lidz(Ed.), Dynamic assessment : An interactional approach to evaluating learning potential. New York : Guilfold Press.
  2. Campoine, J. C, Brown, A. L., & Bryant, N. R.(1985). Individual differences in learning and memory. In R. J. Stenberg(Ed), Human abilities : An information processing approach (pp. 103-126). New York : Freeman.
  3. Chae, M., & Lee, W.(2006). Ability of Young Children's Counting Depending on Type of Material and Age. The Korean Journal Child Education, 15(3), 271-284.
  4. Choi, A.(2010). A Study on the Initial Number Conceptions of Mathematics Underachievers in the Lower Grades. Unpublished master's thesis, Elementary Mathematics Education. Incheon, Korea.
  5. Choi, H.(2003). (The) development of mathematical ability test for young children. Unpublished Doctoral Dissertation, Pusan National University. Pusan, Korea.
  6. Ferrara, R. A.(1987). Learning mathematics in the zone of proximal development : The important of flexible use of knowledge. Unpublished doctoral dissertation, University of Illinois, Urbana Champaign.
  7. Feuerstein(1979). The dynamic assessment of retarded performers : The learning potential assessment device, theory, instruments and techniques. Baltimore : University Park Press.
  8. Fuson, K. (1988). Children's counting and concepts of numbers. New York : SpringerVerlag.
  9. Gelman, R., & Gallistel, C. P. (978). The child's understanding of number. Cambridge, MA : Harvard University.
  10. Han, S.(2008). An Assessment in Individualized Instruction-Learning : Dynamic Assessment perspectives. The Korean Journal of Educational Methodology Studies. 20(1), 49-73.
  11. Hong, H.(1991). Young Children's Oral Counting and Numerical Abilities. Korean Journal of Child Studies, 12(1), 79-90.
  12. Hong, H.(2010). The Future Directions and Challenges in Early Childhood Mathematics Education. Early Childhood Education Research & Review, 14(4), 29-51.
  13. Hwang, H.(2007). A Study on the Relationship of Personal Variables to Mathematical Learning Potential in Young Children. Early Childhood Education Research & Review. 11(4), 344-362.
  14. Hwang, H., & Choi H.(2007). The Mathematical Ability Picture Test for Young Children. Seoul : Yangseowon.
  15. Hwang, H., & Choi, H.(2000). The Vygotsky's Socio-Cultural Theory and Early Childhood Educational Implications : Dynamic Assessment and Scaffolding for Young Children. The Journal of Korea Open Association for Early Childhood Education, 5(2), 205-229.
  16. Hwang, H., Kim, S., & Cho, E.(2011). A validation study on the development of A Dynamic Assessment Tool for Pre-school Children's Mathematical Learning Ability. The Journal of Korea Open Association for Early Childhood Education, 16(5), 425-447.
  17. Hwang, J.(2003). Three, Four, Five Year-Old Children's Counting In Terms of Material type and Order of Presentation. The Journal of Korea Open Association for Early Childhood Education, 8(3), 295-315.
  18. Jeon, S.(2002). The effects of number-counting activities of young children on their mathematical concepts and solving abilities mathematical problems. Unpublished master's thesis, Keimyung University. Seoul, Korea.
  19. Jung, H.(1999). A Study on the Counting of the Young Children. Journal of Young Child Studies, 2(1), 1-22.
  20. Kim, E., Shin, E., & Kim, S.(1993). The Development of Competence in Rational Counting, Addition and Subtraction in Three -, Four - and Five - Year - Old Children. Korean Journal of Child Studies, 14(1), 23-37.
  21. Kim, K.(1990). A Theoretical Study on Young Children' is Counting. Korean Journal of Early Childhood Education, 10(1), 67-81.
  22. Kin, Y., & Kim, J.(2002). The Counting Ability of Children Aged 3 to 5. The Korea Educatio, 29(1), 247-265.
  23. Ko, E., & Jung, M.(2007). Review on dynamic assessment for young children's measurement ability assessment. The Journal of Korea Open Association for Early Childhood Education, 12(3), 317-336.
  24. Choi, H., & Hwang, H.(2006). Exploring implications of the result through Dynamic Assessment of Mathematical Learning Ability for Young Children. Early Childhood Education Research & Review, 10(2), 5-31.
  25. Korean Ministry of Education, Science and Technology(2007). The 2007 Revised Kindergarten Curriculum of the Republic of Korea. Seoul : Korean Ministry of Education, Science and Technology. leaming early number (pp. 9-19). Buckingham : Open University.
  26. Lee, J.(1999). A Study of Content and Method Used in Number Instruction forYoung Children from a Cultural Psychology Perspective. Korean Journal of Early Childhood Education, 19(1), 111-131.
  27. Lee, J., & Oh, J.(2004). The Effect of Young Children's Number Estimation Activity on Counting and Number Representation Abilities of Young Children. The Journal of Korea Open Association for Early Childhood Education, 3(9), 1-21.
  28. Lee, J., An, K., & Kim, S. (2001), A Study of Informal Number Knowledge in Three and Four-Year Olds. Korean Journal of Early Childhood Education, 21(1), 251-267.
  29. Lee. M., & Hong, E.(2001). Analysis on trend mathematics education study for young children. Journal of Kongju Communication Arts University, 18(1), 23-38.
  30. Munn, P. (1997). Children's beliefs about counting. In I. Thompson(Ed), Teaching and.
  31. Nah, K.(2002). A Study on the Basic Concepts of Number and Operation of Young Children. The journal of Korea Early Childhood Education, 9(1), 83-113.
  32. Seo, D., Yoon, E., & Mun, J.(2005). Number Counting of Children and their Ideas about Number Counting. Early Childhood Education Research & Review, 9(2), 169-187.
  33. Song, Y., & Choi, H.(1999). A Study on Young Children's Counting Knowledge , Arithmetic Story Problem Solving Ability , and Strategy. Early Childhood Education Research & Review, 9(1), 111-132.
  34. Yoon, S.(2001). A study on the number representation according to the rational counting abilities of young children. Unpublished master's thesis, Duksung Women's University.