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Assessing early number learning in play

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Abstract

In this paper the authors demonstrate how play can serve as a space for assessing and promoting children’s mathematical thinking. Analyzing data from a larger study of professional development to support culturally and developmentally responsive mathematics teaching in preschool, we found that through Learning Stories, a holistic narrative assessment tool, teachers describe how they explicitly identify the mathematical practices children engage with during play. The structure of Learning Stories provided teachers with a way to think about how they identify and reflect on children’s mathematical practices and, based on that understanding, develop strategies for supporting children’s mathematical understanding. The purpose of this paper is not to argue for play as the only space for teaching and assessing mathematics in preschools but to provide evidence of what is possible when teachers attend to children’s mathematical thinking and mathematize play.

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References

  • Anthony, G., & Walshaw, M. (2009). Mathematics education in the early years: Building bridges. Contemporary Issues in Early Childhood, 10(2), 107–121.

    Article  Google Scholar 

  • Barnett, W.S., Carolan, M.E, Squires, J.H., & Clarke-Brown, K. (2014). State of preschool 2013: First look (NCES 2014-078). U.S. Department of Education. Washington, DC: National Center for Education Statistics. http://nces.ed.gov/pubsearch.

  • Black, P., & Wiliam, D. (2009). Developing the theory of formative assessment. Educational Assessment, Evaluation, and Accountability, 21(1), 5031.

    Article  Google Scholar 

  • Carpenter, T. P., Fennema, E., Franke, M. L., Levi, L., & Empson, S. B. (2014). Children’s mathematics: Cognitively guided instruction. Portsmouth, NH: Heinemann.

    Google Scholar 

  • Carpenter, T. P., Fennema, E., Peterson, E., Chiang, C. P., & Loef, M. (1989). Using knowledge of children’s mathematics thinking in classroom teaching: An experimental study. American Educational Research Journal, 26(4), 499–531.

    Article  Google Scholar 

  • Carr, M. (2001). Assessment in early childhood settings: Learning Stories. London, UK: Sage.

    Google Scholar 

  • Carr, M. (2011). Young children reflecting on their learning: teacher’s conversation strategies. Early Years: An International Research Journal, 31(3), 257–270.

    Article  Google Scholar 

  • Carr, M., & Claxton, G. (2002). Tracking the development of learning dispositions. Assessment in Education, 9(1), 9–37.

    Article  Google Scholar 

  • Carr, M., & Lee, W. (2012). Learning Stories: Constructing learner identities in early education. London: Sage.

    Google Scholar 

  • Carter, M. (2010). Using Learning Stories to strengthen teachers’ relationships with children. Exchange, 32(6), 40–44.

    Google Scholar 

  • Copple, C., & Bredekamp, S. (Eds.). (2009). Developmentally appropriate practice in early childhood programs serving children from birth through age 8 (3rd ed.). Washington, DC: National Association for the Education of Young Children.

    Google Scholar 

  • Duncan, G. J., Dowsett, C. J., Claessens, A., Magnuson, K., Huston, A. C., Klebanov, P., et al. (2007). School readiness and later achievement. Developmental Psychology, 43(6), 1428.

    Article  Google Scholar 

  • Eberly, J. L., & Golbeck, S. L. (2001). Teachers’ perceptions of children’s block play: How accurate are they? Journal of Early Childhood Teacher Education, 22(2), 63–67.

    Article  Google Scholar 

  • Edwards, C. P., Gandini, L., & Forman, G. (1998). The hundred languages of children: The Reggio Emilia approach to early childhood education. Norwood, NJ: Ablex Publishing.

    Google Scholar 

  • Erickson, F. (1986). Qualitative methods in research on teaching. In M. S. Whittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 119–161). New York: Macmillan.

    Google Scholar 

  • Ginsburg, H. P. (2006). Mathematical Play and playful mathematics: A guide for early education. In D. G. Singer, R. M. Golinkoff, & K. Hirsh-Pasek (Eds.), Play = learning: How play motivates and enhances children’s cognitive and social-emotional growth (pp. 145–165). Oxford: Oxford University Press.

    Chapter  Google Scholar 

  • Ginsburg, H. P. (2009). The challenge of formative assessment in mathematics education: Children’s minds, teachers’ minds. Human Development, 52(2), 109–128.

    Article  Google Scholar 

  • Ginsburg, H. P., & Ertle, B. (2008). Knowing the mathematics in early childhood mathematics. In O. N. Saracho & B. Spodek (Eds.), Contemporary perspectives on mathematics in early childhood education (pp. 45–66). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Ginsburg, H. P., & Golbeck, S. (2004). Thoughts on the future of research on mathematics and science learning and education. Early Childhood Research Quarterly, 19(1), 190–200.

    Article  Google Scholar 

  • Ginsburg, H. P., Jang, S., Preston, M., VanEsselstyn, D., & Appel, A. (2004). Learning to think about early childhood mathematics education: A course. In C. Greenes & J. Tsankova (Eds.), Challenging young children mathematically (pp. 41–56). Boston, MA: Houghton Mifflin.

    Google Scholar 

  • Graham, T. A., Nash, C., & Paul, K. (1997). Young children’s exposure to mathematics: The child care context. Early Childhood Education Journal, 25(1), 31–38.

    Article  Google Scholar 

  • Graue, M. E. (1993). Integrating theory and practice through instructional assessment. Educational Assessment, 1, 293–309.

    Article  Google Scholar 

  • Graue, M. E., & Walsh, D. J. (1998). Studying children in context: Theories, methods, and ethics. Thousand Oaks: Sage.

    Google Scholar 

  • Graue, M. E., Whyte, K., & Delaney, K. K. (2014). Fostering culturally and developmentally responsive teaching through improvisational practice. Journal of Early Childhood Teacher Education, 35(4), 297–317.

    Article  Google Scholar 

  • Gunderson, E. A., & Levine, S. C. (2011). Some types of parent number talk count more than others: relations between parents’ input and children’s cardinal-number knowledge. Developmental Science, 14(5), 1021–1032.

    Article  Google Scholar 

  • Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of teachers’ mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42(2), 371–406.

    Article  Google Scholar 

  • Jordan, N. C., Kaplan, D., Locuniak, M. N., & Ramineni, C. (2007). Predicting first-grade math achievement from developmental number sense trajectories. Learning Disabilities Research & Practice, 22(1), 36–46.

    Article  Google Scholar 

  • MacDonald, M. (2007). Toward formative assessment: The use of pedagogical documentation in early elementary classrooms. Early Childhood Research Quarterly, 22(2), 232–242.

    Article  Google Scholar 

  • Mix, K. S., Sandhofer, C. M., Moore, J. A., & Russell, C. (2012). Acquisition of the cardinal word principle: the role of input. Early Childhood Research Quarterly, 27(2), 274–283.

    Article  Google Scholar 

  • National Research Council. (2009). Mathematics learning in early childhood: Paths toward excellence and equity. Washington, D.C.: National Academy Press.

    Google Scholar 

  • Parks, A. N. (2015). Exploring mathematics through play in the early childhood classroom. New York, NY: Teachers College Press.

    Google Scholar 

  • Parks, A. N., & Wager, A. A. (2015). What knowledge is shaping teacher preparation in early childhood mathematics? Journal of Early Childhood Teacher Education, 36(2), 1–18.

    Article  Google Scholar 

  • Perry, B., & Dockett, S. (2004). Mathematics in early childhood education. In B. Perry, G. Anthony, & C. Diezmann (Eds.), Research in mathematics education in Australasia (pp. 103–125). Flaxton: Post Pressed.

    Google Scholar 

  • Perry, B., Dockett, S., & Harley, E. (2007). Learning Stories and children’s powerful mathematics. Early childhood research and practice, 9(2).

  • Piaget, J. (1962). Play, dreams and imitation. New York: Norton.

    Google Scholar 

  • Piaget, J. (1964). Development and learning. Journal of Research in Science Teaching, 2, 176–186.

    Article  Google Scholar 

  • Ramani, G. B., Rowe, M. L., Eason, S. H., & Leech, K. A. (2015). Math talk during informal learning activities in Head Start families. Cognitive Development, 35, 15–33.

    Article  Google Scholar 

  • Reisman, M. (2011). Learning stories: Assessment through play. Exchange, 198, 90–93.

    Google Scholar 

  • Schack, E. O., Fisher, M. H., Thomas, J. N., Eisenhardt, S., Tassell, J., & Yoder, M. (2013). Prospective elementary school teachers’ professional noticing of children’s early numeracy. Journal of Mathematics Teacher Education, 16(5), 379–397.

    Article  Google Scholar 

  • Seo, K. H., & Ginsburg, H. P. (2004). What is developmentally appropriate in early childhood mathematics education? Lessons from new research. In D. H. Clements, J. Sarama, & A.-M. DiBiase (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education (pp. 91–104). Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Shepard, L. A. (2000). The role of assessment in a learning culture. Educational Researcher, 29(7), 4–14.

    Article  Google Scholar 

  • Tirosh, D., Tsamir, P., Levenson, E., & Tabach, M. (2011). From preschool teachers’ professional development to children’s knowledge: Comparing sets. Journal of Mathematics Teacher Education, 14(2), 113–131.

    Article  Google Scholar 

  • Torrance, H., & Pryor, J. (1998). Investigating formative assessment: Teaching, learning and assessment in the classroom. Maidenhead: McGraw-Hill Education.

    Google Scholar 

  • Tsamir, P., Tirosh, D., Levenson, E., Tabach, M., & Barkai, R. (2014). Developing preschool teachers’ knowledge of students’ number conceptions. Journal of Mathematics Teacher Education, 17(1), 61–83.

    Article  Google Scholar 

  • van Oers, B. (2010). Emergent mathematical thinking in the context of play. Educational Studies in Mathematics, 74(1), 23–37.

    Article  Google Scholar 

  • Vygotsky, L. S. (1962). Language and thought. Ontario, Canada: Massachusetts Institute of Technology Press

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

    Google Scholar 

  • Wager, A. A., Graue, M. E., & Harrigan, K. (2015). Swimming upstream in a torrent of assessment. In R. Perry, A. Gervasoni, & A. MacDonald (Eds.), Mathematics and transition to school: International perspectives (pp. 15–30). Dordrecht: Springer.

    Google Scholar 

  • Wager, A. A., & Parks, A. N. (2014). Learning mathematics through play. In E. Booker, S. Edwards, & M. Blaise (Eds.), SAGE handbook of play and learning in early childhood (pp. 216–227). London: Sage Publications LTD.

    Chapter  Google Scholar 

Download references

Acknowledgments

The writing of this paper was supported in part by Grants from the National Science Foundation (1019431; 1461468) and the Wisconsin Center for Education Research. The opinions expressed in this paper do not necessarily reflect the position, policy, or endorsement of the National Science Foundation or the Wisconsin Center for Education Research.

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Correspondence to Anita A. Wager.

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Wager, A.A., Parks, A.N. Assessing early number learning in play. ZDM Mathematics Education 48, 991–1002 (2016). https://doi.org/10.1007/s11858-016-0806-8

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