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Abstract
The 2011 Trends in International Mathematics and Science Study shows average mathematics scores of U.S. fourth graders are lower than children in many Asian countries. There are questions about differences in mathematics skills at younger ages. This study examines differences in score growth for High-, Average-, and Low-performing children in two U.S. states and one city in China. The samples are not representative of site populations and are different in socioeconomic status (SES). Test of Early Mathematics Ability–3 (TEMA-3; Ginsburg & Baroody, 2003) scores were obtained at four time points from the longitudinal samples. Children in Shanghai had higher scores than children in Kentucky and Nebraska; the majority of children in Shanghai scored in the High group, whereas most children in Kentucky and Nebraska were in the Average group. The best fitting growth models were nonlinear and the growth patterns varied across samples. More research is needed to understand how classroom instruction, home environments, parenting, and SES impact growth of TEMA-3 scores.
References
Section:
|
Ball, D. L., Thames, M. H., Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59, 389-407. Google Scholar | SAGE Journals | ISI | |
|
Bowman, B., Donovan, S., Burns, M. S. (Eds.). (2001). Eager to learn. Washington, DC: National Academy Press. Google Scholar | |
|
Bradley, R., Corwyn, R. (2002). Socioeconomic status and child development. Annual Review of Psychology, 53, 371-399. Google Scholar | Crossref | Medline | ISI | |
|
Brenneman, K., Stevenson-Boyd, J. S., Frede, E. (2009). Math and science in preschool: Policies and practice (Preschool Policy Matters, Issue 19). New Brunswick, NJ: National Institute for Early Education Research. Google Scholar | |
|
Burchinal, M., Hyson, M., Zaslow, M. (2008). Competencies and credentials for early childhood educators: What do we know and what do we need to know? (NHSA Dialog Brief, Vol. 11, Issue 1). Alexandria, VA: National Head Start Association. Google Scholar | |
|
Burnham, K. P., Anderson, D. R. (2002). Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach (2nd ed.), Springer-Verlag. Google Scholar | |
|
Burnham, K. P., Anderson, D. R. (2004). Multimodel inference: Understanding AIC and BIC in model selection. Sociological Methods & Research, 33, 261-304. Google Scholar | SAGE Journals | ISI | |
|
Clements, D. H., Sarama, J. (2008). Experimental evaluation of the effects of a research-based preschool mathematics curriculum. American Educational Research Journal, 45, 443-494. Google Scholar | SAGE Journals | ISI | |
|
Clements, D. H., Sarama, J., DiBiase, A.-M. (2004). Engaging young children in mathematics: Standards for early childhood mathematics education. Mahwah, NJ: Lawrence Erlbaum. Google Scholar | |
|
Cogan, L. S., Schmidt, W. H. (1999). Middle school math reform. Middle Matters, 8, 2-3. Google Scholar | |
|
Cooper, H., Nye, B., Charlton, K., Lindsay, J., Greathouse, S. (1996). The effects of summer vacation on achievement test scores: A narrative and meta-analytic review. Review of Educational Research, 66, 227-268. Google Scholar | SAGE Journals | ISI | |
|
Denton, K., West, J. (2002). Children’s reading and mathematics achievement in kindergarten and first grade. Washington, DC: National Center for Education Statistics, U.S. Department of Education. Google Scholar | |
|
Gao, L. Y. (2010). The development of number concept in children aged 2-3 and the impact of parent-child interaction in math learning (Master’s thesis). East China Normal University, Shanghai. Google Scholar | |
|
Geary, D. C., Bow-Thomas, C. C., Fan, L., Siegler, R. S. (1993). Even before formal instruction, Chinese children outperform American children in mental addition. Cognitive Development, 8, 517-529. Google Scholar | Crossref | ISI | |
|
Geary, D. C., Hoard, M. K., Nugent, L., Bailey, D. H. (2012). Mathematical cognition deficits in children with learning disabilities and persistent low achievement: A five-year prospective study. Journal of Educational Psychology, 104, 206-223. Google Scholar | Crossref | Medline | ISI | |
|
Ginsburg, H. P., Baroody, A. J. (1990). Test of early mathematics ability (TEMA-2). Austin, TX: Pro-Ed. Google Scholar | |
|
Ginsburg, H. P., Baroody, A. J. (2003). Test of early mathematics ability–Third edition. Austin, TX: Pro-Ed. Google Scholar | |
|
Halpern, D. F., Benbow, C. P., Geary, D. C., Gur, R. C., Hyde, J. S., Gernsbacher, M. A. (2007). The science of sex differences in science and mathematics. Psychological Science in the Public Interest, 8, 1-51. Google Scholar | SAGE Journals | |
|
Ho, C. S.-H., Fuson, K. C. (1998). Children’s knowledge of teen quantities as tens and ones: Comparisons of Chinese, British and American Kindergarteners. Journal of Educational Psychology, 90, 1536-1544. Google Scholar | Crossref | |
|
Huntsinger, C. S., Jose, P. E., Liaw, F.-R., Ching, W.-D. (1997). Cultural differences in early mathematics learning: A comparison of Euro-American, Chinese American, and Taiwan-Chinese families. International Journal of Behavioral Development, 21, 371-388. Google Scholar | SAGE Journals | |
|
Hurvich, C. M., Tsai, C. L. (1989). Regression and time series model selection in small samples. Biometrika, 76, 297-307. Google Scholar | Crossref | ISI | |
|
Jacobi-Vessels, J. L., Brown, E. T., Molfese, V. J., Do, A. (2014). Preschool counting: Effective teaching strategies for achieving counting milestones. Manuscript submitted for publication. Google Scholar | |
|
Jordan, N. C., Kaplan, D., Ramineni, C., Locuniak, M. N. (2009). Early math matters: Kindergarten number competence and later mathematics outcomes. Developmental Psychology, 45, 850-867. Google Scholar | Crossref | Medline | ISI | |
|
Krajewski, K., Schneider, W. (2009). Early development of quantity to number-word linkage as a precursor of mathematical school achievement and mathematical difficulties: Findings from a four-year longitudinal study. Learning and Instruction, 19, 513-526. Google Scholar | Crossref | ISI | |
|
Laird, N. M., Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38, 963-974. Google Scholar | Crossref | Medline | ISI | |
|
Long, J. D., Ryoo, J. (2010). Using fractional polynomials to model non-linear trends in longitudinal data. British Journal of Mathematical and Statistical Psychology, 63, 177-203. Google Scholar | Crossref | Medline | |
|
Mashburn, A., Pianta, R., Hamre, B., Downer, J., Barbarin, O., Bryant, D., . . . Howes, C. (2008). Measures of classroom quality in prekindergarten and children’s development of academic, language, and social skills. Child Development, 79, 732-749. Google Scholar | Crossref | Medline | ISI | |
|
Melhuish, E., Sylva, K., Sammons, P., Siraj-Blatchford, I., Taggart, M., Malin, A. (2008). Preschool influences on mathematics achievement. Science, 321, 1161-1162. Google Scholar | Crossref | Medline | ISI | |
|
Miller, K. E., Smith, C. M., Zhu, J., Zhang, H. (1995). Preschool origins of cross-national differences in mathematical competence: The role of number-naming systems. Psychological Science, 6, 56-60. Google Scholar | SAGE Journals | ISI | |
|
Miller, K. E., Stigler, J. W. (1987). Counting in Chinese: Cultural variation in a basic cognitive skill. Cognitive Development, 2, 279-305. Google Scholar | Crossref | |
|
Mosteller, F., Tukey, J. (1977). Data analysis and regression: A second course. New York, NY: Addison-Wesley. Google Scholar | |
|
National Assessment of Educational Progress . (2011). The Nation’s report card. Retrieved from http://nationsreportcard.gov/math_2011/ Google Scholar | |
|
National Council of Teachers of Mathematics . (2000). Principles and standards for school mathematics (Vol. 1). Reston, VA: Author. Google Scholar | |
|
National Council of Teachers of Mathematics . (2006). Curriculum focal points for prekindergarten through grade 8 mathematics: A quest for coherence. Reston, VA: Author. Google Scholar | |
|
National Infant & Toddler Child Care Initiative . (2011). Infant/toddler early learning fact sheet. Retrieved from http://www.zerotothree.org/public-policy/newsletters/new-infanttoddler-early.html Google Scholar | |
|
National Research Council . (2009). Mathematics learning in early childhood: Paths toward excellence and equity. Washington, DC: The National Academics Press. Google Scholar | |
|
Pianta, R. C., Barnett, W. S., Burchinal, M., Thornburg, K. R. (2009). The effects of preschool education: What we know, how public policy is or is not aligned with the evidence base, and what we need to know. Psychological Science in the Public Interest, 10, 49-88. doi:10.1177/1529100610381908 Google Scholar | SAGE Journals | |
|
Pianta, R. C., La Paro, K., Hamre, B. (2007). Classroom Assessment Scoring System. Charlottesville, VA: Teachstone. Google Scholar | |
|
Pinheiro, J. C., Bates, D. M. (2000). Mixed-effects models in S and S-plus. New York, NY: Springer-Verlag. Google Scholar | Crossref | |
|
Rambo-Hernandez, K. E. (2011). How much do schools matter? Using summer growth patterns to assess the impact of schools on high achieving and gifted students (Doctoral dissertation). Retrieved from http://digitalcommons.uconn.edu/dissertations/AAI3492063 Google Scholar | |
|
Ryoo, J. (2011). Model selection with the linear mixed model for longitudinal data. Multivariate Behavioral Research, 46, 598-624. Google Scholar | Crossref | Medline | |
|
Scott-Little, C., Kagan, S. L., Frelow, V. S. (2005). Inside the content: The depth and breadth of early learning standards. Greensboro, NC. Retrieved from http://www.serve.org/uploads/publications/insidecontentfr.pdf Google Scholar | |
|
Scott-Little, C., Lesko, J., Martella, J., Milburn, P. (2007). Early learning standards: Results from a national survey of document trends in state-level policies and practices. Early Childhood Research & Practice, 9(1). Retrieved from http://ecrp.uiuc.edu/v9n1/little.html Google Scholar | |
|
Stevenson, H., Lee, S.-Y., Chen, C., Lummis, M., Stigler, J., Fan, L., Ge, F. (1990). Mathematics achievement of children in China and the United States. Child Development, 61, 1053-1066. Google Scholar | Crossref | Medline | ISI | |
|
Stevenson, H., Lee, S.-Y., Stigler, J. W. (1986). Mathematics achievement of Chinese, Japanese and American children. Science, 231, 693-699. Google Scholar | Crossref | Medline | ISI | |
|
Trends in International Mathematics and Science Study (2011). Retrieved from http://nces.ed.gov/Timss/ Google Scholar | |
|
Wang, J., Lin, E. (2009). A meta-analysis of comparative studies on Chinese and U.S. students’ mathematics performance: Implications for mathematics education reform and research. Educational Research Review, 4, 177-195. Google Scholar | Crossref | |
|
Wenglinsky, H. (2002). The link between teacher classroom practices and student academic performance. Education Policy Analysis Archives, 10. Retrieved from http://epaa.asu.edu/epaa/v10n12/ Google Scholar | |
|
Zhou, X. (2006). Individual difference in children’s mathematical development and individualized education. Education for Young Children, Educational Science Version, 7-8, 30-35. Google Scholar | |
|
Zhou, X., Huang, J., Zhao, Z. G., Yang, Z. H. (2009). The development of mathematical cognition for children aged 5-6. Education for Young Children, Educational Science Version, 11, 35-39. Google Scholar | |
|
Zhou, Z., Cheng, C., Mottram, L., Rosenblum, S. (1999, April). Understanding informal and formal mathematical abilities in mainland Chinese and Chinese-American children. Paper presented at the Biennial Meeting of Society for Research in Child Development, Albuquerque, NM. Google Scholar |
