The Effectiveness of Teaching Number Relationships in Preschool

Myoungwhon Jung; Paula Hartman; Thomas Smith; Stephen Wallace

The Effectiveness of Teaching Number Relationships in Preschool

Yıl 2013, Cilt: 6 Sayı: 1, - , 01.12.2012

Myoungwhon Jung Paula Hartman Thomas Smith Stephen Wallace

Öz

Number relationships, which go far beyond counting skills, refer to the ability to represent a quantity in multiple, flexible ways. It is arguably among the most important mathematics concepts in number and quantity. The current study examined the effectiveness of number relationships instruction in preschool classrooms. Participants included 73 children and 4 teachers from a half-day preschool program in a local school district. For the intervention group, two teachers provided number relationships instruction to 37 of the children in their classrooms (four sections total). No treatment occurred for the control group consisting of the remaining 36 children taught by two teachers. Before and after the 12-week treatment period, the TEMA-3(Test of Early Mathematics Ability-3rd Edition) was administered both as a pretest and a posttest to assess children’s understanding of number and quantity. Results indicated that children in the intervention group who received mathematics instruction with the emphasis on teaching number relationships scored significantly higher on the posttest than their counterparts in the control group. However, results of the current study did not reveal any advantages by age group for number relationships instruction. Small sample size may have limited this analysis

Anahtar Kelimeler

Number Relationships, Early Childhood Mathematics, Preschool Curriculum, Subitizing, Parts-Whole Concept, Preschool, Teaching

Kaynakça

Baroody, A. (1987). Children’s mathematical thinking: A development framework for preschool, primary, and special education teacher. New York: Teachers College Press.
Baroody, A. (2000). Does mathematics instruction for three-to five-year-olds really makesense? Young Children, 55(4), 61-67.
Baroody, A. (2004). The role of psychological research in the development of early childhood mathematics standards. In D. H. Clements, J. Sarama, & A.-M.DiBiase (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education (pp.149-172). Mahwah, NJ: Lawrence Erlbaum Association.
Benoit, L.,Lehalle, H., & Jouen, F. (2004).Do young children acquire number words through subitizing or counting? Cognitive Development 19(3), 291-307.
Clements, D. H. (1999). Subitizing. Teaching Children Mathematics 5(7), 400-405.
Clements, D. H. (2004). Major themes and recommendations. In D. H. Clements, J.Sarama, & A.-M.DiBiase (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education (pp.7-72). Mahwah, NJ:Lawrence Erlbaum Association.
Clements, D. H., & Sarama, J. (2007). Effects of a preschool mathematics curriculum: Summary research on the building blocks project. Journal for Research in Mathematics Education 38(2), 136-163.
Clements, D. H., & Sarama, J. (2008). Building Blocks. Columbus, OH: SRA/McGrawHill.
Clements, D. H., & Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. New York: Routledge.
Clements, D. H., & Sarama, J. (2010). Technology. In V. Washington & J. Andrews
(Eds.), Children of 2020: Creating a better tomorrow (pp. 119-123). Washington, DC: Council for Professional Recognition/National Association for the Education of Young Children.
Fosnot, C. T., & Dolk, M. (2001).Young mathematicians at work: Constructing number sense, addition, and subtraction. Portsmouth, NH: Heinemann.
Fuson, K. C. (1988). Children’s counting and concept of number. New York, NY: Springer-Verlag.
Fuson, K. C., Lyons, B. G., Pergament, G. G., Hall, J., & Kwon, Y. (1988). Effect of collection terms on class-inclusion and on number tasks. Cognitive Psychology, 20(1), 96Ginsburg, A., & Baroody, B. (2003). Test of Early Mathematics Ability (3 rd ed.). Wood Dale, IL: Stoelting.
Haugland, S. W. (1992). The effect of computer software on preschool children’s developmental gain. Journal of Computing in Childhood Education, 3(1), 15-30.
Hunting, R. P. (2003). Part-whole number knowledge in preschool children. Journal of Mathematical Behavior 22(3), 217-235.
Jung, M. (2011). Number relationships in a preschool classroom. Teaching Children Mathematics, 17(9), 550-557.
Kamii, C. (1985). Young children reinvent arithmetic: Implications of Piaget’s theory.
New York: Teachers College Press. Kilpatrick, J., Swafford, J., & Findell, B. (2001).Adding it up: Helping children learn mathematics. Washington DC: National Academy Press.
Krajewski, K., & Schneider, W. (2009). Exploring the impact of phonological awareness, visual-spatial working memory, and preschool quantity-number competencies on mathematics achievement in elementary school: Findings from a 3year longitudinal study. Journal of Experimental Child Psychology, 103(4), 516-531.
Ma, L. (1999). Knowledge and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates.
Markman, E. (1973). The facilitation of part-whole comparisons by use of the collective noun, “family.”Child Development, 44(4), 837-840.
Munn, P. (1997). Children’s beliefs about counting. In I. Thompson (Ed.), Teaching and learning early number (pp. 9-19). Buckingham: Open University Press.
National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Author.
Piaget, J. (1965). The child’s conception of number. New York: Routledge.
Sarama, J., & Clements, D. H. (2009). Early childhood mathematics education research: Learning trajectories for young children. New York, NY: Routledge.
Sarnecka, B.W. & Lee, M. D. (2009). Levels of number knowledge during early childhood. Journal of Experimental Child Psychology, 103(3), 325-337.
Sophian, C., & McCorgray, P. (1994). Part-whole knowledge and early arithmetic problem solving. Cognition and Instruction, 12(1), 3-33.
Tournaki, N., Seh Bae, Y. Kerekes, J. (2008). Rekenrek: A manipulative used to teach addition and subtraction to students with learning disabilities. Learning disabilities: A contemporary journal, 6(2), 41-59.