PRESCHOOLERS’ INTUITIVE PROBABILISTIC THINKING DURING OUTDOOR PLAY
DOI:
https://doi.org/10.52041/serj.v22i2.444Keywords:
Statistics education research, Early childhood, Probabilistic thinking, Verbal expressionsAbstract
Young children encounter uncertainty and challenges on a daily basis; through their intuitions, experiences and experimentation they construct knowledge, skills and dispositions towards probabilistic concepts. The aim of this exploratory ethnographic study is to identify how young children engage with probabilistic thinking and reasoning while playing outdoors. Twelve 3–4-year-old children and two practitioners were observed during free and structured activities outdoors. Critical events, that reflect contexts of probability, chance and uncertainty, were identified for further analysis based on participants’ linguistic interactions. Children’s probabilistic thinking was mainly expressed in three instances: while solving problems, in creative play, and while considering risk and safety issues. These authentic understandings can become the basis for more instructional pedagogical sequences on probability in early years.
References
Bargagliotti, A., Franklin, C., Arnold, P., Gould, R., Johnson, S., Perez, L., & Spangler, D. (2020). Pre-K–12 Guidelines for Assessment and Instruction in Statistics Education (GAISE) report II. American Statistical Association and National Council of Teachers of Mathematics.
Batanero C., Chernoff E. J., Engel J., Lee H. S., Sánchez, E. (2016). Research on teaching and learning probability. Research on teaching and learning probability: ICME-13 Topical Surveys. Springer.
Bengtsson, M. (2016). How to plan and perform a qualitative study using content analysis. Nursing Plus Open 2, 8–14.
Creemers, B. P. M., & Kyriakides, L. (2006). Critical analysis of the current approaches to modelling educational effectiveness: The importance of establishing a dynamic model. School Effectiveness and School Improvement, 17(3), 347–366. https://doi.org/10.1080/09243450600697242
Denison, S., & Xu, F. (2014). The origins of probabilistic inference in human infants. Cognition 130(3), 335–347.
Fischbein, E. (1975). The intuitive sources of probabilistic thinking in children. Reidel.
Fischbein, E. (1987). Intuition in science and mathematics: An educational approach. Reidel Publications.
Girotto, V., Fontanari, L., Gonzalez, M., Vallortigara, G., & Blaye, A. (2016). Young children do not succeed in choice tasks that imply evaluating chances. Cognition, 152, 32–39. http://dx.doi.org/10.1016/j.cognition.2016.03.010
Greer, B. (2001). Understanding probabilistic thinking: The legacy of Efraim Fischbein. Educational Studies in Mathematics, 45, 15–33. https://doi.org/10.1023/A:1013801623755
Groth, R. E., Austin, J. W., Naumann, M., & Rickards, M. (2021). Toward a theoretical structure to characterize early probabilistic thinking. Mathematics Education Research Journal 33, 241–261. https://doi.org/10.1007/s13394-019-00287-w
Hammersley, M., & Atkinson, P. (2007). Ethnography: Principles in practice (3rd ed.). Routledge.
Hawkins, A., & Kapadia, R. (1984). Children’s conceptions of probability: A psychological and pedagogical review. Educational Studies in Mathematics, 15, 349–377.
Ingold, T., & Palsson, G. (Eds.), (2013). Biosocial becomings: Integrating social and biological anthropology. Cambridge University Press.
James, A. (2011). Ethnography in the study of children and childhood. In P. Atkinson, A. Coffey, S. Delamont, J. Lofland & L. Lofland (Eds.), Handbook of ethnography (pp. 1–22). SAGE Publications.
Jones, G. A., Langrall, C. W., Mogill, A. T., & Thornton, C. A. (1999). Students’ probabilistic thinking in instruction. Journal for Research in Mathematics Education, 30(5), 487–519.
Kingston, M., & Twohill, A. (2022). Young children’s use of subjective thinking in response to probabilistic tasks. Statistics Education Research Journal, 21(3), Article 5. https://doi.org/10.52041/serj.v21i3.8
Kushnir, T., Wellman, H. M., & Xu, F. (2010). Young children use statistical sampling to infer the preferences of other people. Psychological Science 21, 1134–1140. https://doi:10.1177/0956797610376652
Leavy A., Meletiou-Mavrotheris M., Paparistodemou E. (2018). Preface. In A. Leavy, M. Meletiou-Mavrotheris & E. Paparistodemou (Eds.), Statistics in early childhood and primary education: Early mathematics learning and development (pp. ix–xxii). Springer.
Martinez, W., & LaLonde, D. (2020). Data science for everyone starts in kindergarten: Strategies and initiatives from the American Statistical Association. Harvard Data Science Review, 2(3). https://doi.org/10.1162/99608f92.7a9f2f4d
Nacarato, A. M., & Grando, R. C. (2014). The role of language in building probabilistic thinking. Statistics Education Research Journal, 13(2), 93–103. https://doi.org/10.52041/serj.v13i2.283
Nikiforidou, Z. (2018). Probabilistic thinking and young children: Theory and pedagogy. In A. Leavy, M. Meletiou-Mavrotheris & E. Paparistodemou (Eds.), Statistics in early childhood and primary education: Early mathematics learning and development (pp. 21–34). Springer.
Nikiforidou, Z. (2019). Probabilities and preschoolers: Do tangible vs virtual manipulatives, sample space and repetition matter? Early Childhood Education Journal 47, 769–777. https://doi.0.1007/s10643-019-00964-2
Nikiforidou, Z., Chadjipadelis, T., & Pange, J. (2013). Intuitive and informal knowledge in preschoolers' development of probabilistic thinking. International Journal of Early Childhood, 45(3), 347–357. https://doi:10.1007/s13158-013-0081-6.
Piaget, J., & Inhelder B. (1975). The origin of the idea of chance in children. Norton.
Pink, S. (2015). Doing sensory ethnography (2nd edition). SAGE Publications.
Ritchie, J. (2020). Ethnography in early childhood education. In G. W. Noblit (Ed.), The Oxford encyclopedia of qualitative research methods in education. (pp. 1–19). Oxford University Press.
Siraj-Blatchford, I., & Siraj-Blatchford, J. (2001). An ethnographic approach to researching young children’s learning. In G. Mac Naughton, S. A. Rolfe, & I. Siraj-Blatchford (Eds.), Doing early childhood research: International perspectives on theory and practice (pp. 193–207). Allen & Unwin.
Threlfall, J. (2004). Uncertainty in mathematics teaching: The National Curriculum experiment in teaching probability to primary pupils. Cambridge Journal of Education 34(3), 297–314.
Tripp, D. (1993). Critical incidents in teaching: Developing professional judgement. Routledge.
Vygotsky, L. (1962). Thought and language. (E. Hanfmann & G. Vakar, Eds.). MIT Press.
Waismeyer, A., Gopnik, A. & Meltzoff, A. N. (2015). Causal learning from probabilistic events in 24-montholds: An action measure. Developmental Science 18, 175–182. https://doi:10.1111/desc.12208
Wolcott, H. F. (2008). Ethnography. A way of seeing (2nd ed.). Altamira.
Yang, C. C. R. (2010). Teacher questions in second language classrooms: An investigation of three cases. Asian EFL Journal 12(1), 181–201. https://doi:10.1017/cbo9781139524469.005
