Skip to main content

Playing with Patterns: Conclusions from a Learning Study with Toddlers

  • Chapter
  • First Online:
Mathematics Education in the Early Years

Abstract

Play and learning is said to be intertwined in young children’s mathematical development. Play is, however, a multifaceted practice—and so is mathematics. In this report from an empirical study of toddlers’ mathematical play and learning in a goal-oriented preschool practice, the learning content is “patterns”. The framework for the pedagogical work is play, however, with a theory-driven approach to how children’s learning of the idea of patterns is facilitated. Observations and analysis of occurrences, responses and learning within designed activities give insights and broaden our understanding of “patterns”, how toddlers experience the idea of patterns and what is made possible to learn in play-based but goal-oriented activities in preschool.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Bishop, A. (1988). Mathematical enculturation. A cultural perspective on mathematics education. London: Kluwer.

    Google Scholar 

  • Björklund, C. (2014). Powerful teaching in preschool—A study of goal-oriented activities for conceptual learning. International Journal of Early Years Education, 22(4), 380–394. http://dx.doi.org/10.1080/09669760.2014.988603.

    Article  Google Scholar 

  • Björklund, C., & Pramling, N. (2014). Pattern discernment and pseudo-conceptual development in early childhood mathematics education. International Journal of Early Years Education, 22(1), 89–104. doi:10.1080/09669760.2013.809657.

    Article  Google Scholar 

  • Björklund, C., & Pramling Samuelsson, I. (2013). Challenges of teaching mathematics within the frame of a story—A case study. Early Child Development and Care, 183(9), 1339–1354. http://dx.doi.org/10.1080/03004430.2012.728593.

    Article  Google Scholar 

  • Bruner, J. (1996). The culture of education. (3rd ed.). Cambridge, Mass.: Harvard University Press.

    Google Scholar 

  • Burton, L. (2002). Children’s mathematical narratives as learning stories. European Early Childhood Education Research Journal, 10(2), 5–18.

    Article  Google Scholar 

  • Cross, C., Woods, T., & Schweingruber, H. (Eds.). (2009). Mathematics learning in early childhood. Committee on early childhood mathematics: National Research Council. Washington, DC: National Academic Press.

    Google Scholar 

  • Devlin, K. (1994). Mathematics: The science of patterns. The search for order in life, mind and the universe. New York: Scientific American Library.

    Google Scholar 

  • Garrick, R., Threlfall, J., & Orton, A. (1999). Pattern in the nursery. In A. Orton (Ed.), Pattern in the teaching and learning of mathematics (pp. 1–17). London: Cassell.

    Google Scholar 

  • Ginsburg, H. (2006). Mathematical play and playful mathematics: A guide for early education. In D. G. Singer, R. Michnick Golinkoff, & K. Hirsh-Pasek (Eds.), How play motivates and enhances children’s cognitive and socio-emotional growth. New York: Oxford University Press.

    Google Scholar 

  • Hannula, M. (2005). Spontaneous focusing on numerosity in the development of early mathematical skills. Turku: Turku University.

    Google Scholar 

  • Heeffer, A. (2010). Learning concepts through the history of mathematics: The case of symbolic algebra. In K. François & J. P. Van Bendegem (Eds.), Philosophical dimensions in mathematics education (pp. 83–103). Dordrecht: Springer.

    Google Scholar 

  • Holmqvist, M. (2011). Teachers’ learning in a learning study. Instructional Science, 39(4), 497–511.

    Article  Google Scholar 

  • Marton, F. (2014). Necessary conditions of learning. London: Routledge.

    Google Scholar 

  • Marton, F., & Booth, S. (1997). Learning and awareness. Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Marton, F., & Tsui, A. (Eds.). (2004). Classroom discourse and the space of learning. Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Mulligan, J., & Mitchelmore, M. (2013). Early awareness of mathematical pattern and structure. In L. D. English & J. T. Mulligan (Eds.), Reconceptualizing early mathematics learning, advances in mathematics education (pp. 29–45). Dordrecht: Springer. doi:10.1007/978-94-007-6440-8_3.

    Chapter  Google Scholar 

  • Papic, M., Mulligan, J., & Mitchelmore, M. (2011). Assessing the development of preschoolers’ mathematical patterning. Journal for Research in Mathematics Education, 42(3), 237–268.

    Google Scholar 

  • Pramling Samuelsson, I., & Asplund Carlsson, M. (2008). The playing learning child: Towards a pedagogy of early childhood. Scandinavian Journal of Educational Research, 52(6), 623–641.

    Article  Google Scholar 

  • Pramling Samuelsson, I., & Pramling, N. (2013). Orchestrating and studying children’s and teachers’ learning: Reflections on developmental research approaches. Education Inquiry, 4(3), 519–536.

    Google Scholar 

  • Radford, L. (2012). On the development of early algebraic thinking. PNA, 6(4), 117–133.

    Google Scholar 

  • Rivera, F. (2013). Teaching and learning patterns in school mathematics: Psychological and pedagogical considerations. Dordrecht: Springer.

    Book  Google Scholar 

  • Runesson, U. (2008). Learning to design for learning: The potential of learning study to enhance learning on two levels: Teachers’ and students’ learning. In T. Wood & P. Sullivan (Eds.), The international handbook of mathematics teacher education (Knowledge and beliefs in mathematics teaching and teaching development, Vol. 1, pp. 153–172). Rotterdam: Sense.

    Google Scholar 

  • Sarama, J., & Clements, D. (2009). Early childhood mathematics education research. Learning trajectories for young children. New York: Routledge.

    Google Scholar 

  • Sutton-Smith, B. (1997). The ambiguity of play. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Swedish National Agency for Education. (2011). Curriculum for the preschool Lpfö98. Revised 2010. www.skolverket.se.

  • Sylva, K., Melhuish, E., Sammons, P., Siraj-Blatchford, I., & Taggart, B. (Eds.). (2010). Early childhood matters: Evidence from the effective pre-school and primary education project. New York: Routledge.

    Google Scholar 

  • Threlfall, J. (1999). Repeating patterns in the primary years. In A. Orton (Ed.), Pattern in the teaching and learning of mathematics (pp. 18–30). London: Cassell.

    Google Scholar 

  • van Oers, B. (2013a). Challenges in the innovation of mathematics education for young children. Educational Studies in Mathematics, 84(2), 267–272.

    Article  Google Scholar 

  • van Oers, B. (2013b). Communicating about number: Fostering young children’s mathematical orientation in the world. In L. D. English & J. T. Mulligan (Eds.), Reconceptualizing early mathematics learning, advances in mathematics education (pp. 183–203). Dordrecht: Springer. doi:10.1007/978-94-007-6440-8_3.

    Chapter  Google Scholar 

  • Vygotsky, L. S. (1978). Mind in society. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Vygotsky, L. S. (2004). Imagination and creativity in childhood. Journal of Russian and East European Psychology, 42(1), 7–97.

    Google Scholar 

  • Warren, E., & Cooper, T. (2008). Generalising the pattern rule for visual growth patterns: Actions that support 8 year olds’ thinking. Educational Studies in Mathematics, 67, 171–185.

    Article  Google Scholar 

Download references

Acknowledgement

This study was conducted with financial support from the Swedish National Research Council (grant no. 724-2011-751).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Camilla Björklund .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Björklund, C. (2016). Playing with Patterns: Conclusions from a Learning Study with Toddlers. In: Meaney, T., Helenius, O., Johansson, M., Lange, T., Wernberg, A. (eds) Mathematics Education in the Early Years. Springer, Cham. https://doi.org/10.1007/978-3-319-23935-4_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-23935-4_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23933-0

  • Online ISBN: 978-3-319-23935-4

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics