A Study of Number Sense Performance among Low-SES Students, New Immigrant Children, and Typical Learners in Grades Four Through Six

Pei-Chieh Chen; Mao-Neng Li; Der-Ching Yang

doi:10.12973/eurasia.2015.1345a

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Pei-Chieh Chen ¹, Mao-Neng Li ², Der-Ching Yang ² ^*

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¹ Dongshih Elementary School of Dongshih Township, TAIWAN² National Chiayi University, TAIWAN^* Corresponding Author

Abstract

To examine the relative performance in number sense among low-SES students, new immigrant students, and typical learners in grades 4 through 6, data were collected through a number sense web-based, two-tier test. A total of 628 fourth graders, 535 fifth graders, and 524 sixth graders in Taiwan participated in this study. Results showed that there were statistically significant differences in number sense performance among new immigrant children, low-SES students, and typical learners in the fourth, fifth, and sixth grades. The subsequent post hoc comparisons indicated that there was a statistically significant difference between typical learners and new immigrant children in fourth and fifth grades. Moreover, there were statistically significant differences between typical learners and low-SES students in fifth and sixth grades. The Chi-squared test results also showed that there were significant differences in the uses of solution methods between the fourth, fifth, and sixth graders. Implications of this study and suggestions for the future studies are discussed.

Keywords

grades 4-6
low-SES students
new immigrant children
number sense
typical learners

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, 2015, Volume 11, Issue 3, 455-468

https://doi.org/10.12973/eurasia.2015.1345a

Publication date: 27 Apr 2015

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References

Aiken, L. R. (1985). Three coefficients for analyzing the reliability and validity of ratings. Educational and Psychological Measurement, 45(1), 131-142.
Arnold, D. H., & Doctoroff, G. L. (2003). The early education of socioeconomically disadvantaged children. Annual Review of Psychology, 54(1), 517-545.
Atweh, B., Vale, C., & Walshaw, M. (2012). Equity, diversity, social justice, and ethics in mathematics education. In B. Perry, T. Lowrie, T. Logan, A. MacDonald, & J. Greenlees (Eds.), Research in Mathematics Education in Australia 2008-2011 (pp. 39-66). Rotterdam: Sense Publishers.
Berch, D. B. (2005). Making sense of number sense: Implications for children with mathematical disabilities. Journal of Learning Disabilities, 38(4), 333-339.
Birman, D., Weinstein, T., Beehler, S., & Chan, W. (2007). Immigrant youth in U.S. schools: Opportunities for prevention. The Prevention Researcher, 14(4), 14-17.
Bohlmark, A. (2009). Integration of childhood immigrants in the short and long run-Swedish evidence. International Migration Review, 43(2), 387–409.
Carboni, L. (2008). Number sense everyday. The University of North Carolina at Chapel Hill. Retrieved from http://www.learnnc.org/lp/pages/numsense0402-1.
Chang, M. H. (2005). Development and multiculturalism: The development of new Taiwanese children and new immigrant women. In Do not call me "foreign bride", ed. H. C. Hsia, 206-215. Taipei County, Taiwan: Rive Gauche Publishing House. (In Chinese).
Chen, J. J. (2010). The effect of intermarriage on child's learning achievement. Educational Research Journal, 21(2); 61-89. (in Chinese).
Chen, S. H., Yang, D. C., Yao, R. F., & Lai, M. L. (2008, November). A cultural study of disadvantaged lower grade students’ mathematical learning. Paper presented at the Conference Series on Education Development in Chinese Society- Curriculum and Instruction, Macau University, China.
Cramer, K. A., Post, T. R. & delMas, R. C. (2002). Initial fraction learning by fourth- and fifth-grade students: A comparison for the effects of using commercial curricula with the effects of using the rational number project curriculum. Journal for Research in Mathematics Education, 33(2), 111-144.
Crosnoe, R. (2005). Double disadvantage or signs of resilience? The elementary school contexts of children from Mexican immigrant families. American Educational Research Journal, 42(2), 269-303.
Deschenes, S., Cuban, L., & Tyack, D. (2001). Mismatch: Historical perspectives on schools and students who don't fit them. Teachers College Record, 103(4), 825-547.
Doctoroff, S. (2001). Adapting the physical environment to meet the needs of all young children for play. Early Childhood Education Journal, 29(2), 105-109.
Dunphy, E. (2007). The primary mathematics curriculum: Enhancing its potential for developing young children’s number sense in the early years at school. Irish Educational Studies, 26(1), 5-25.
Durbin, J., & Watson, G. S. (1971). Testing for serial correlation in least-squares regression III. Biometrika, 58(1), 1–19.
Dyson, N. I., Jordan, N. C., & Glutting, J. (2013). A number sense intervention for low-income kindergartners at risk for mathematics difficulties. Journal of Learning Disabilities, 46(2), 166-181.
Empson, S. B. (2003). Low-performing students and teaching fractions for understanding: An interactional analysis. Journal for Research in Mathematics Education, 34(4), 305- 343.
Geary, D. C., Bow-Thomas, C. C., & Yao, Y. (1992). Counting knowledge and skill in cognitive addition: A comparison of normal and mathematically disabled children. Journal of Experimental Child Psychology, 54(3), 372-391.
Gee, J. P. (2004). Situated language and learning: A critique of traditional schooling. New York: Routledge.
Griffin, S., Case, R., & Siegler, R. (1994). Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure. In K. McGilly (Ed.), Classroom lessons: Integrating cognitive theory and classroom practice (pp. 24–49). Cambridge, MA: MIT Press.
Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and intervention for students with mathematics difficulties. Journal of Learning Disabilities, 38(4), 293-304.
Halberda, J., Mazzocco, M., & Feigenson, L. (2008). Individual differences in nonverbal number acuity predict math achievement. Nature, 455, 665-668.
Hsiao, Y. J. (2009). A study of childrearing, school methods, and government policies that affect preschool children of immigrant mothers in Southern Taiwan. PhD diss., Spalding University, Louisville, KY, USA.
Hsin, C. T. (2010, May). Funds of knowledge relative to young children’s literacy learning in new immigrant families in Taiwan. Paper presented at the American Educational Research Association (AERA) Annual Meeting, Denver, CO, USA.
Jordan, N. C., Glutting, J., & Ramineni, C. (2010). The importance of number sense to mathematics achievement in first and third grades. Learning and Individual Differences, 20(2), 82-88.
Jordan, N. C., Kaplan, D., Oláh, L. N., & Locuniak, M. N. (2006). Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties. Child Development, 77(1), 153- 175.
Jordan, N. C., Kaplan, D., Locuniak, M. N., & Ramineni, C. (2007). Predicting first-grade mathematics achievement from developmental number sense trajectories. Learning Disabilities Research & Practice, 22(1), 36-46.
Jordan, N. C., Raminent, C., & Watkin, M. W. (2010). Validating a number sense screening tool for use in kindergarten and first grade: Prediction of mathematics proficiency in third grade, School Psychology Review, 39(2), 181-195.
Kao, G., & Rutherford. L. T. (2007). Does social capital still matter? Immigrant minority disadvantage in schoolspecific social capital and its effects on academic achievement. Sociological Perspectives, 50(1), 27–52.
Kern, D. E. (2012). CliffsNotes praxis II: principles of learning and teaching (second edition). USA: John Wiley & Sons, Incorporated.
Kilbride, K. M., & Ali, M. A. (2010). Striving for voice: Language acquisition and Canadian immigrant women. Current Issues in Language Planning, 11(2), 173-189.
Khan, A., & Rayner, G. D. (2003). Robustness to nonnormality of common tests for the many sample location problem. Journal of Applied Mathematics and Decision Sciences, 7(4), 187-206.
Kaminski, E. (2002). Promoting mathematical understanding: Number sense in action. Mathematics Education Research Journal, 14(2), 133-149.
Mazzocco, M. M. M., & Thompson, R. E. (2005). Kindergarten predictors of math learning disability. Learning Disabilities Research and Practice, 20(3), 142-155.
McIntosh, A., Reys, B. J., & Reys, R. E. (1992). A proposed framework for examining basic number sense. For the Learning of Mathematics, 12(3), 2-8.
Mendoza, M. (2002). Latino immigrant women in Memphis. Memphis, TN: Center for Research on Women, University of Memphis. (ERIC Document Reproduction Service No. ED 472386)
Miller, J. (2009). Hispanic immigrant students. PhD diss., Texas Women's University, Denton, TX, USA.
Ministry of Education in Taiwan. (2010). Twelve-year joint mathematics curricula plan in Taiwan. Taiwan: Taipei. (In Chinese).
Ministry of Interior Taiwan. (2010). The baby was born and count dividing according to breeder mother's nationality in recent years in Taiwan. Taipei, Taiwan: Ministry of Interior. (In Chinese).
Mo, L. L., & Lai, P. Z. (2004). To explore the decreasing birth rate and foreign spouses’ children in Taiwan. Journal of Community Development, 105, 55-65. (In Chinese).
Morgan, P. L., Farkas, G., Hillemeier, M. M., & Maczuga, S. (2009). Risk factors for learning-related behavior problems at 24 months of age: Population-based estimates. Journal of Abnormal Child Psychology, 37(3), 401- 413.
Nasir, N. S., & Cobb, P. (Eds.) (2007). Improving access to mathematics: Diversity and equity in the classroom. New York: Teachers College Press.
National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
National Research Council. (2004). On evaluating curricular effectiveness: Judging the quality of K-12 mathematics evaluations. Washington, DC:
National Academy Press Organization for Economic Co-operation and Development. (2009). Programme for international student assessment (PISA). Retrieved from http://pisa2006.acer.edu.au.
Oakes, J., Joseph, R., & Muir, K. (2004). Access and achievement in mathematics and science: inequalities that endure and change. In Handbook of research on multicultural education ed. J. A. Banks & C. A. McGee Banks (pp. 69-90). San Francisco: Jossey Bass.
Pogrow, S. (2009). Accelerate the learning of 4th and 5th graders born into poverty. Phi Delta Kappan, 90(6), 408- 412.
Peng, P. C. (2007). New immigrant children's complicated becomings: A multi-sited ethnography in a Taiwanese diasporic space. Unpublished doctoral dissertation, Ohio State University. Retrieved from http://www.ohiolink.edu/etd/sendpdf.cgi/Peng%20Pi ngchuan.pdf?acc_num=osu1181924608
Reys, R. E. & Yang, D. C. (1998). Relationship between computational performance and number sense among sixth- and eighth-grade students in Taiwan, Journal for Research in Mathematics Education, 29(2), 225-237.
Rodriguez, A. J. (2005). Teachers’ resistance to ideological change: Definitions, theoretical framework, and significance. In Preparing mathematics and science teachers for diverse classrooms,ed. A. J. Rodriguez & R. S. Kitchen (pp. 1-16). Mahwah, NJ: Lawrence Erlbaum Associates.
Schneider, M., Grabner, R. H., & Paetsch, J. (2009). Mental number line, number line estimation, and mathematical achievement: Their interrelations in grades 5 and 6. Journal of Educational Psychology, 101(2), 359-372.
Schnepf, S. V. (2007). Immigrants’ educational disadvantage: An examination across ten countries and three surveys. Journal of Population Economics, 20(3), 527-545.
Seah, W. T., Atweh, B., Clarkson, P., & Ellerton, N. (2008). Sociocultural perspectives in mathematics teaching and learning. In H. Forgase, A. Barkatsas, A. Bishop, B. Clarke, S. Keast, W. T. Seah & P. Sullivan (Eds.), Research in Mathematics Education in Australia 2004-2007 (pp. 223-254). Rotterdam: Sense Publishers.
Sood, S., & Jitendra, A. K. (2007). A comparative analysis of number sense instruction in reform- based and traditional mathematics textbooks. Journal of Special Education, 41(3), 145-157.
Sreeharsha, K. (2010). Reforming Americ's immigration laws: A woman’s struggle. Washington, DC: Immigration Policy Center.
Starkey, P., Klein, A., & Wakeley, A. (2004). Enhancing young children’s mathematical knowledge through a prekindergarten mathematics intervention. Early Childhood Research Quarterly, 19(1), 99-120.
Tan, Y. C., & Wu, C. S. (2009). The study on the policy for low-SES students and its coping measures in Taipei city. Journal of Educational Administration and Evaluation, 8(1), 77-94. (In Chinese).
Verschaffel, L., Greer, B., & De Corte, E. (2007). Whole number concepts and operations. In F. K. Lester, Jr. (Ed.), Second handbook of research on mathematics teaching and learning (pp. 557-628). Charlotte, NC: Information Age Publishing.
Wang, W., Young, S., & Smith, J. (2009). Experiences of learning to read in New Zealand: A case study of five Chinese families. New Zealand Journal of Education Studies, 44(2), 31-46.
Wright, R. J., Stanger, C., Cowper, M., & Dyson, R. (1996). First graders’ progress in an experimental mathematics recovery program. In Children’s number learning: A research monograph of MERGA/AAMT (pp. 55–72). Adelaide, Australia: Australian Association of Mathematics Teachers.
Yang, D. C. (2010). The design and application of web-based two-tier test for number sense, paper presented at the 8th Annual Hawaii International Conference on Education. Hawaii, U. S. A. Jan7-10, 2010.
Yang, D. C. & Li, M. N (2013). Assessment of Animated SelfDirected Learning Activities Modules for Children’s Number Sense Development. Journal of Educational Technology and Society, 16(3), 44-58.
Yang, D. C., Li, M. N., & Lin, C. I. (2008). A Study of the Performance of 5th Graders in Number Sense and its Relationship to Achievement in Mathematics, International Journal of Science and Mathematics Education, 6(4), 789-807.
Yang, D. C. & Wu, W. R. (2010). The study of number sense realistic activities integrated into third-grade math classes in Taiwan. The Journal of Educational Research, 103(6), 379-392.
Yao, R. F. (2009, July). Investigation on mathematics learning of the “new children of Taiwan”. Paper presented at the 33rd Conference of the International Group for the Psychology of Mathematics Education, Thessaloniki, Greece.
Yao, R. F., & Yang, D. C. (2010, December). Creating appropriate mathematics learning environments for low-SES students through remedial instructional modules. Paper presented at the second annual Asian Conference on Education (ACE 2010), Osaka, Japan.

How to cite this article

APA

Chen, P.-C., Li, M.-N., & Yang, D.-C. (2015). A Study of Number Sense Performance among Low-SES Students, New Immigrant Children, and Typical Learners in Grades Four Through Six. Eurasia Journal of Mathematics, Science and Technology Education, 11(3), 455-468. https://doi.org/10.12973/eurasia.2015.1345a

Vancouver

Chen PC, Li MN, Yang DC. A Study of Number Sense Performance among Low-SES Students, New Immigrant Children, and Typical Learners in Grades Four Through Six. EURASIA J Math Sci Tech Ed. 2015;11(3):455-68. https://doi.org/10.12973/eurasia.2015.1345a

AMA

Chen PC, Li MN, Yang DC. A Study of Number Sense Performance among Low-SES Students, New Immigrant Children, and Typical Learners in Grades Four Through Six. EURASIA J Math Sci Tech Ed. 2015;11(3), 455-468. https://doi.org/10.12973/eurasia.2015.1345a

Chicago

Chen, Pei-Chieh, Mao-Neng Li, and Der-Ching Yang. "A Study of Number Sense Performance among Low-SES Students, New Immigrant Children, and Typical Learners in Grades Four Through Six". Eurasia Journal of Mathematics, Science and Technology Education 2015 11 no. 3 (2015): 455-468. https://doi.org/10.12973/eurasia.2015.1345a

Harvard

Chen, P.-C., Li, M.-N., and Yang, D.-C. (2015). A Study of Number Sense Performance among Low-SES Students, New Immigrant Children, and Typical Learners in Grades Four Through Six. Eurasia Journal of Mathematics, Science and Technology Education, 11(3), pp. 455-468. https://doi.org/10.12973/eurasia.2015.1345a

MLA

Chen, Pei-Chieh et al. "A Study of Number Sense Performance among Low-SES Students, New Immigrant Children, and Typical Learners in Grades Four Through Six". Eurasia Journal of Mathematics, Science and Technology Education, vol. 11, no. 3, 2015, pp. 455-468. https://doi.org/10.12973/eurasia.2015.1345a