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http://dx.doi.org/10.5723/KJCS.2015.36.5.95

The Development and Validation of a Scale to Measure the Mathematical Interaction of Young Children's Parents  

Kim, Jihyun (Myongji University)
Publication Information
Korean Journal of Child Studies / v.36, no.5, 2015 , pp. 95-113 More about this Journal
Abstract
This study aimed to develop and validate a scale which could be used to evaluate mathematical interactions of parents with their young children. The subjects comprised 408 mothers of 4-6-year-old children. Means, standard deviation, $x^2$, Cramer's V, exploratory factor analysis, confirmatory factor analysis, Pearson correlations, and Cronbach's ${\alpha}$ were calculated. First, 49 items were developed through a review of relevant research, parent interviews, confirmation of item adequacy and content validity. These items were then edited down to a final list of 24 items representing 4 factors identified by exploratory factor analysis. Second, this 24-item. 4-factor scale was shown to have adequate construct validity, norm validity, and reliability by confirmatory factor analysis, Pearson correlation analysis, Cronbach's ${\alpha}$. In conclusion, the final mathematical interaction scale for young children's parents was composed of 24 items with 4 factors: "interaction regarding numbers and operations, measurements, and patterns", "interaction regarding data collection and result presentation", "interaction with picture books", and "interaction regarding shapes and figures"
Keywords
mathematical interaction; young children; parents; development of a scale; validation;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 Cannon, J., & Ginsburg, H. P. (2008). “Doing the math: Maternal beliefs about early mathematics versus language learning. Early Education and Development, 19(2), 238-260.   DOI
2 Choi, B. (2013). Relationship among mothers' mathematics teaching efficacy, mathematics education environment at home, and young children's mathematical disposition. Unpublished master's thesis, Chung-ang University, Seoul, Korea.
3 Choi, H., & Chung. C. (2007). The effects of the variables of early childhood teachers and the variables of home environment on the children's number concept. Korean Journal of Early Childhood Education, 27(4), 377-399.   DOI
4 Choi, H., & Lee, H. (2005). The effects of learner variables and home environment on the development of mathematical ability. Korean Journal of Early Childhood Education, 25(2), 27-48.
5 Clements, D. H. (2001). Mathematics in the preschool. Teaching Children Mathematics, 7(5), 270-275.
6 Cooke, B. D., & Buchholz, D. (2005). Mathematical communication in the classroom: A teacher makes a difference. Early Childhood Education Journal, 32(6), 365-369.   DOI
7 Cross, C. T., Woods, T. A., & Schweingruber, H. (Eds.) (2009). Mathematics learning in early childhood: Paths toward excellence and equity. Washington, D. C.: The National Academies Press.
8 Eloff, L., Maree, J. G., & Miller, L. H. (2006). The role of parents' learning facilitation mode in supporting informal learning in mathematics. Early Child Development and Care, 176(3), 313-328.   DOI
9 Ginsburg, H. P., Lee, J. S., & Boyd, J. S. (2008). Mathematics education for young children: What it is and how to promote it. Social Policy Report, 22(1), 3-22.
10 Han, J. (2007). The parents' recognition on the mathematics education for young children and the status of home mathematics education. Early Childhood Education Research & Review, 11(4), 29-54.
11 Han, J. H. (2003). A study of construction and effects on a inquiry based early childhood mathematics education program. Unpublished doctoral dissertation, Chung-ang University, Seoul, Korea.
12 Hong, H. K. (2004). The performance assessment using math tasks done during free play time in kindergartens. Korean Journal of Early Childhood Education, 15(2), 173-191.
13 Hong, H. K. (2010). The differences in “math talks” during storybook reading activities according to the types of math storybook used. Korean Journal of Child Studies, 31(5), 63-77.
14 Hong, H. K. (2011). The effects of repeated math storybook reading activities on young children's mathematizing, attitude toward mathematics, and mathematics ability. Korean Journal of Early Childhood Education, 31(3), 5-29.
15 Kang, S. (2012). Analysis of the mediated effect for home mathematics environment according to the relations of parents' socioeconomic status to young children's mathematics ability. Korean Journal of Child Education and Care, 12(2), 85-99.
16 Kim, H. A. (2002). A study on the parents' role to mathematical activities in young children. Journal of Future Early Childhood Education, 9(1), 115-147.
17 Kim, J. (2012). The effect of project activity based on role play on 5-year-olds' mathematical ability. Journal of Korean Home Management Association, 30(6), 115-127.   DOI
18 Kim, M. (2005). A study of change for mathematical disposition of young child through investigation based number activity. Unpublished doctoral dissertation, Chung-ang University, Seoul, Korea.
19 Kim, J. J., & Park, H. S. (2008). Children's scientific attitude and problem solving ability according to the parents' level of understanding, participation and interaction with children regarding early childhood science education. The Journal of Child Education, 17(4), 77-92.
20 Kim, J., & Kim, J. M. (2013). A research on the variables that affect the mathematics teaching efficacy of teachers of 0 to 2-year-olds and 3 to 5-year-olds in child care center. Journal of Korean Home Management Association, 31(5), 97-108.   DOI
21 Kim, M., & Kim, S. (2014). The effect of reading activity using mathematic-related fairy tales based on mathematizing on young children's mathematical ability and mathematical attitude. Korean Journal of Children's Literature & Education, 15(1), 97-119.
22 Kim, S. H. (2004). Development of mathematical games as an assessment tool for mathematical knowledge, mathematical process skill, and mathematical attitude in early childhood education. Unpublished doctoral dissertation, Duksung Women's University, Seoul, Korea.
23 Kim, Y. J., & Lee, J. A. (2013). Mothers' perception of their children's mathematics learning and language learning. The Korean Journal of Creativity & Problem Solving, 9(1), 177-195.
24 Kline, R. B. (2011). Principles and practice of structural equation modeling (3rd ed.). New york: Guilford Press.
25 Koestler, C., Felton, M. D., Bieda, K., & Otten, S,. & NCTM (2013). Connecting the NCTM process standards and the CCSSM practices. Reston, VA: The National Council of Teachers of Mathematics
26 Askew, M., Brown, M., Rhodes, V., Johnson, D., & William, D. (1997). Effective teachers of numeracy: Report of a study carried out for the teacher training agency 1995-96 by school of Education. London: King's College.
27 교육과학기술부, 보건복지부 (2013). 연령별누리과정해설서. 서울: 교육과학기술부.보건복지부.
28 장영애(1981). 가정환경변인과 4-6세 아동의 언어능력과의 관계. 연세대학교 대학원 석사학위청구논문.
29 Anderson, A. (1997). Families and mathematics: A study of parent-child interaction. Journal for Research in Mathematics Education, 28, 484-511.   DOI
30 Bollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.
31 Lee, J. W., & Lee, S. J. (2010). The quality of mathematics teaching in the kindergarten. Korean Journal of Early Childhood Education, 30(4), 341-357.   DOI
32 Lee, G. G., & Lee, J. W. (2010). Teachers' approach and teaching strategies in kindergarten math-activities. Korean Journal of Early Childhood Education, 30(5), 291-310.
33 Lee, H. (2011). A survey study of parents' perceptions on status of parent-child mathematical interaction and use of mathematical materials at home. Korean Journal of Human Ecology, 20(4), 745-757.   DOI
34 Lee, H., & Park, H. (2010). The effects of a parent-child interaction and usability of mathematical media in home on children's number concept. Korea Journal of Child Care and Education, 6(1), 171-190.
35 Lee, Y. (2006). Korean kindergarten teachers' use of base-ten and place value materials and children's learning. Unpublished doctoral dissertation, Boston University, USA.
36 Levin, S. C., Suriyakham, L. W., Rowe, M. L., Huttenlocher, J., & Gunderson, E. A. (2010). What counts in the development of young children's number knowledge? Developmental Psychology, 46(5), 1309-1319.   DOI
37 Moon, S. B. (2009). Basic concepts and applications of Structural Equation Modeling with AMOS 17.0. Seoul: Hakjisa.
38 NAEYC & NCTM (2002). Early childhood mathematics: Promoting good beginnings. Washington, D.C. : NAEYC.
39 NCTM (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
40 Sarama, J., & Clements, D. H. (2007). Manual for Classroom Observation (COMMET) - Version 3. Unpublished version.
41 Young-Loveridge, J. M. (2004). Effect of early numeracy of program using number books and games. Early Childhood Research Quarterly, 19(1), 82-98.   DOI
42 Shin, N. J. (2010). The effects of family related mathematical activities through use of storybooks on young children's mathematical problem solving ability and perception of parent. Unpublished master's thesis, Chung-ang University, Seoul, Korea.