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Investigating Children’s Abilities to Count and Make Quantitative Comparisons

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Abstract

This study was designed to investigate children’s abilities to count and make quantitative comparisons. In addition, this study utilized reasoning questions (i.e., how did you know?). Thirty-four preschoolers, mean age 4.5 years old, participated in the study. According to the results, 89 % of the children (n = 30) were able to do rote counting and 70 % (n = 24) were able to do rational counting. When children were asked how they knew how many objects were in a set, 30 responded that they used a counting strategy. Sixty-five percent of children (n = 22) answered “zero” when no block was given and 21 children answered “nothing” when they were asked what zero meant to them. About quantitative comparisons, 65 % of children (n = 22) answered correctly when they were asked more and less questions.

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References

  • Baroody, A. J., Lai, M., & Mix, K. S. (2006). The development of young children’s early number and operation sense and its implications for early childhood education. In B. Spodek & O. N. Saracho (Eds.), Handbook of research on the education of young children (2nd ed., pp. 135–152). Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Bracken, B. (1998). Bracken basic concept scale-revised. San Antonio, TX: Psychological Corporation, Harcourt Brace and Company.

    Google Scholar 

  • Burnett, K., & Farkas, G. (2009). Poverty and family structure effects on children’s mathematic achievement: Estimates from random and fixed effects models. Social Science Journal, 46, 297–318.

    Article  Google Scholar 

  • Clements, D. H., & Sarama, J. (2009). Learning trajectories in early mathematicsSequences of acquisition and teaching. Encyclopedia on Early Childhood Development. Retrieved October 14, 2014 from http://www.eyeonkids.ca/docs/files/numeracy.pdf

  • Clements, D., Sarama, J., & Liu, H. (2008). Development of a measure of early mathematics achievement using Rasch model: The research-based early math assessment. Educational Psychology, 28(4), 457–482.

    Article  Google Scholar 

  • Constance, K. (1989). Numbers in preschool and kindergarten: Educational implication of Piaget’s theory. Washington, DC: National Association of Education for Young Children.

    Google Scholar 

  • Copley, J. (2009). The young child and mathematics (2nd ed.). Washington DC: National Association of Education for Young Children.

    Google Scholar 

  • Ginsburg, H. (2009). The challenge of formative assessment in mathematics education: Children’s minds, teacher’s minds. Human Development, 52(1), 109–118.

    Article  Google Scholar 

  • Ginsburg, H., & Baroody, A. (2003). Test of early mathematics ability. Austin, TX: Pro-ed.

    Google Scholar 

  • Ginsburg, H., Kossan, N., Schwartz, R., & Swanson, D. (1983). Protocol methods in research on mathematical thinking. In H. P. Ginsburg (Ed.), The development of mathematical thinking. New York, NY: Academic Press.

    Google Scholar 

  • Ginsburg, H., Lee, J. S., & Boyd, S. (2008). Mathematics education for young children: What it is and how to promote it. Society of Child Research, 22(1), 3–22.

    Google Scholar 

  • High Scope Educational Research Foundation. (2003). High/scope preschool child observation record. Ypsilanti, MI: High Scope Educational Research Foundation.

    Google Scholar 

  • Klibanoff, R. S., Levine, S. C., Huttenlocher, J., Vasilyeva, M., & Hedges, L. V. (2006). Preschool children’s mathematical knowledge: The effect of teacher “math talk”. Developmental Psychology, 42(1), 59–69.

    Article  Google Scholar 

  • Labinowicz, E. (1985). Learning from children. Menlo Park, CA: Addison Wesley.

    Google Scholar 

  • Lee, J. (2014). Is children’s informal knowledge of mathematics important? Rethinking assessment of children’s knowledge of mathematics. Contemporary Issues in Early Childhood, 15(3), 293–294.

    Article  Google Scholar 

  • Lee, J., Autry, M., Fox, J., & Williams, C. (2008). Investigating children’s mathematics readiness. Journal of Research in Childhood Education, 22(3), 316–328.

    Article  Google Scholar 

  • Lee, J., Collins, D., & Winkelman, L. (2015). Connecting 2D and 3D: drafting blueprints, building, and playing with blocks. Young Children, 70(1), 32–35.

    Google Scholar 

  • Lee, J., Lee, Y., & Amaro-Jimenez, C. (2011). Teaching English language learners (ELLs) mathematics in early childhood. Childhood Education, 87(4), 253–260.

    Article  Google Scholar 

  • Lee, J., Lee, J. O., & Collins, D. (2009). Enhancing children’s spatial sense using tangrams. Childhood Education, 86(2), 92–94.

    Article  Google Scholar 

  • Lee, J., Meadows, M., & Lee, J. O. (2003). What causes teachers to implement high-quality mathematics education more frequently: Focusing on teachers’ pedagogical content knowledge. Retrieved from ERIC (ED 472327).

  • Merrifield, M., & Pearn, C. (1999). Mathematics intervention. In Early Years of Schooling Branch (Eds.), Targeting excellence: Continuing the journey (pp. 62–70). Melbourne.

  • National Association for the Education of Young Children & National Council of Teachers of Mathematics. (2010). Early childhood mathematics: Promoting good beginnings. Retrieved from http://www.naeyc.org/files/naeyc/file/positions/psmath.pdf

  • National Council of Teachers of Mathematics. (2001). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Piaget, J. (1952). The origin of intelligence in children. New York, NY: International University Press.

    Book  Google Scholar 

  • Purpura, D. J., & Lonigan, C. J. (2013). Informal numeracy skills: The structure and relations among numbering, relations, and arithmetic operations in preschool. American Educational Research Journal, 50(1), 178–209.

    Article  Google Scholar 

  • Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Weiland, C., Wolfe, C. B., Hurwitz, M. D., Clements, D. H., Sarama, J. H., & Yoshikawa, H. (2012). Early mathematics assessment: Validation of the short form of a prekindergarten and kindergarten mathematics measure. Educational Psychology, 32(3), 311–333.

    Article  Google Scholar 

  • Woodcock, R., McGrew, K., & Mather, N. (2001). Woodcock–Johnson III Tests of achievement. Itasca, IL: Riverside Publishing Company.

    Google Scholar 

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Correspondence to Joohi Lee.

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Lee, J., Md-Yunus, S. Investigating Children’s Abilities to Count and Make Quantitative Comparisons. Early Childhood Educ J 44, 255–262 (2016). https://doi.org/10.1007/s10643-015-0707-4

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