Investigating statistical predictions with first graders in Greece

Anastasia Michalopoulou; Sonia Kafoussi

doi:10.29333/iejme/14247

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Anastasia Michalopoulou ¹ ^* , Sonia Kafoussi ¹

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¹ Department of Sciences of Preschool Education and Educational Design, University of the Aegean, Rhodes, GREECE^* Corresponding Author

Abstract

This paper argues that engaging students in informal statistical reasoning from early school years is essential for the development of statistical understanding. We investigated if and how children aged six-seven years old identified variation in a table of data and made predictions through the design of a teaching experiment. The classroom teaching experiment was comprised of four 45 minutes lessons addressing the understanding and interpretation of data sets. In order to describe students’ informal predictive reasoning, we used the framework of “data lenses”. More specifically, we analyzed the different types of answers the students produced as they engaged in predictive reasoning during an interview given before and after the teaching experiment. The participation of students in (classroom) and out-of-school (family) communities of practice was also taken into consideration. Our results demonstrate that the students benefited from their learning experience and developed data understanding.

Keywords

data lens
early childhood
parental involvement
statistical predictive reasoning

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, 2024, Volume 19, Issue 2, Article No: em0771

https://doi.org/10.29333/iejme/14247

Publication date: 01 Apr 2024

Online publication date: 20 Feb 2024

Article Views: 725

Article Downloads: 309

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References

Aridor, K., & Ben-Zvi, D. (2017). The co-emergence of aggregate and modelling reasoning. Statistics Education Research Journal, 16(2), 38-63. https://doi.org/10.52041/serj.v16i2.184
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 II (GAISE II). American Statistical Association.
Ben-Zvi, D., & Garfield, J. (2004). The challenge of developing statistical literacy, reasoning and thinking. Kluwer Academic Publishers. https://doi.org/10.1007/1-4020-2278-6
Ben-Zvi, D., Gravemeijer, K., & Ainley, J. (2018). Design of statistics learning environments. In D. Ben-Zvi, K. Makar, & J. Garfield (Eds.), International handbook of research in statistics education (pp. 473-502). Springer. https://doi.org/10.1007/978-3-319-66195-7_16
Boonk, L., Gijselaers, H. J. M., Ritzen, H., & Brand-Gruwel, S. (2018). A review of the relationship between parental involvement indicators and academic achievement. Educational Research Review, 24, 10-30. https://doi.org/10.1016/j.edurev.2018.02.001
Boyatzis, R. E. (1998). Transforming qualitative information: Thematic analysis and code development. SAGE.
Braun, V., & Clarke, V. (2012). Thematic analysis. In H. Cooper (Ed.), APA handbook of research methods in psychology: Research designs (pp. 57-91). American Psychological Association. https://doi.org/10.1037/13620-004
Bryman, A. (2016). Social research methods. Oxford.
Chaviaris, P., & Kafoussi, S. (2009). Epikinonia Skholiou-Ikoyenias Meso Phillon Ergasias sta Mathimatika: Mia Meleti Periptosis [Communication between school and family through worksheets in mathematics: a case study]. In F. Kalavasis, S. Kafoussi, M. Chionidou, C. Skoumpourdi, & G. Fesakis (Eds.), Proceedings of the 3rd Hellenic Conference of the Greek Association Research in Mathematics Education (pp. 181-191). GARME.
Civil, M., & Bernier, E. (2006). Exploring mages of parental participation in mathematics education: Challenges and possibilities. Mathematical Thinking & Learning, 8(3), 309-330. https://doi.org/10.1207/s15327833mtl0803_6
Cobb, P. (1999). Individual and collective mathematical learning: The case of statistical data analysis. Mathematical Thinking and Learning, 1, 5-44. https://doi.org/10.1207/s15327833mtl0101_1
Crafter, S. (2012). Parental cultural models and resources for understanding mathematical achievement in culturally diverse school settings. Educational Studies in Mathematics, 81(1), 31-46. https://doi.org/10.1007/s10649-011-9359-5
Darragh, L. (2016). Identity research in mathematics education. Educational Studies in Mathematics, 93(1), 19-33. https://doi.org/10.1007/s10649-016-9696-5
Doerr, H., Delmas, R., & Makar, K. (2017). A modelling approach to the development of students’ informal inferential reasoning. Statistical Educational Research Journal, 16(2), 86-115. https://doi.org/10.52041/serj.v16i2.186
English, L. D. (2013). Reconceptualizing statistical learning in the early years. In L. English, & J. Mulligan (Eds.), Reconceptualizing early mathematical learning (pp.67-82). Springer. https://doi.org/10.1007/978-94-007-6440-8
English, L. D. (2012). Data modeling with first-grade students. Educational Studies in Mathematics, 81, 15-30. https://doi.org/10.1007/s10649-011-9377-3
Franklin, C., Kader, G., Mewborn, D., Moreno, J., Peck, R., Perry, M., & Scheaffer, R. (2007). Guidelines for assessment and instruction in statistics education (GAISE) report: A pre-K-12 curriculum framework. American Statistical Association.
Gal, I. (2002). Adult’s statistical literacy: Meaning, components, responsibilities. International Statistical Review, 70(1), 1-25. https://doi.org/10.2307/1403713
Galindo, C., & Sheldon, S. (2012). School and home connections and children’s kindergarten achievement gains: The mediating role of family involvement. Early Childhood Research Quarterly, 27(1), 90-103. https://doi.org/10.1016/j.ecresq.2011.05.004
Garfield, J. (2002). The challenge of developing statistical reasoning. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910676
Garfield, J., & Ben-Zvi, D. (2007). How students learn statistics revisited: A current review of research on teaching and learning statistics. International Statistical Review, 75(3), 372-396. https://doi.org/10.1111/j.1751-5823.2007.00029.x
Hoover-Dempsey, K. V., & Jones, K. P. (1997). Parental role construction and parental involvement in children’s education [Paper presentation]. The Annual Meeting of the American Educational Research Association.
Kafoussi, S., Chaviaris, P., & Moutsios-Rentzos, A. (2020). Investigating parental influences on sixth graders’ mathematical identity in Greece: A case study. International Electronic Journal of Mathematics Education, 15(2), em0572, https://doi.org/10.29333/iejme/6279
Knapp, A., Landers, R., Liang, S., & Jefferson, V. (2017).We all as a family are graduating tonight: A case for mathematical knowledge for parental involvement. Educational Studies in Mathematics, 95(1), 79-95. https://doi.org/10.1007/s10649-016-9741-4
Konold, C., Higgins, T., Russell S. J., & Khalil, K. (2015). Data seen through different lenses. Educational Studies in Mathematics, 88, 305-325. https://doi.org/10.1007/s10649-013-9529-8
Lehrer, R., & English, L. (2017). Introducing children to modelling variability. In D. Ben-Zvi, K. Makar, & J. Garfield (Eds.), The international handbook of research in statistics education (pp. 229-260). Springer. https://doi.org/10.1007/978-3-319-66195-7_7
Makar, K. (2014).Young children’s explorations of average through informal inferential reasoning. Educational Studies in Mathematics, 86(1), 61-78. https://doi.org/10.1007/s10649-013-9526-y
Makar, K. (2016). Developing young children’s emergent inferential practices in statistics. Mathematical Thinking and Learning, 18(1), 1-24. https://doi.org/10.1080/10986065.2016.1107820
Makar, K., & Rubin, A. (2009). A framework for thinking about informal statistical inference. Statistics Education Research Journal, 8, 82-105. https://doi.org/10.52041/serj.v8i1.457
Makar, K., & Rubin, A. (2017). Learning about statistical inference. In D. Ben- Zvi, K. Makar, & J. Garfield (Eds.), The international handbook of research in statistics education (pp. 261-294). Springer. https://doi.org/10.1007/978-3-319-66195-7_8
Maloney, E., Ramirez, G., Gunderson, E. A., Levine, S., & Beilock, S. (2015). Intergenerational effects of parents’ math anxiety on children’s math achievement and anxiety. Psychological Science, 26(9), 1480-1488. https://doi.org/10.1177/0956797615592630
McClain, K., & Cobb, P. (2001). Supporting students’ ability to reason about data. Educational Studies in Mathematics, 45, 103-129. https://doi.org/10.1023/A:1013874514650
Meletiou-Mavrotheris, M. & Paparistodemou, E. (2015.) Developing students’ reasoning about samples and sampling in the context of informal inferences. Educational Studies in Mathematics, 88, 385-404. https://doi.org/10.1007/s10649-014-9551-5
Michalopoulou, A., & Kafoussi, S. (2024). Engaging first grade students in statistical predictive reasoning. Quaderni di Ricerca in Didattica (Proceedings of CIEAEM74) (in press).
NCTM. (2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics.
Oslington, G., Mulligan, J., & Van Bergen, P. (2020). Third-graders’ predictive reasoning strategies. Educational Studies in Mathematics, 104, 5-24. https://doi.org/10.1007/s10649-020-09949-0
Paparistodemou, E., & Meletiou-Mavrotheris, M. (2008). Developing young students’ informal inference skills in data analysis. Statistics Education Research Journal, 7(2), 83-106. https://doi.org/10.52041/serj.v7i2.471
Piaget, J. (1954). The construction of reality in the child. Basic Books. https://doi.org/10.1037/11168-000
Quaye, J., & Pomeroy, D. (2022). Social class inequalities in attitudes towards mathematics and achievement in mathematics cross generations: A quantitative Bourdieusian analysis. Educational Studies in Mathematics, 109(1), 155-175. https://doi.org/10.1007/s10649-021-10078-5
Shaughnessy, J. M. (2007). Research on statistics learning and reasoning. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 957-1010). National Council of Teachers of Mathematics.
Sheldon, S., & Epstein, J. (2005). Involvement counts: Family and community partnerships and mathematics achievement. The Journal of Educational Research, 98(4), 196-207. https://doi.org/10.3200/JOER.98.4.196-207
Silinkas, G., & Kikas, E. (2019). Perental involvement in math homework: Links to children’s performance and motivation. Scandinavian Journal of Educational Research, 63(1), 17-37. https://doi.org/10.1080/00313831.2017.1324901
Steen, L. (2001). Mathematics and democracy: The case for quantitative literacy. The National Council on Education and the Disciplines.
Stephan, M., & Akyuz, D. (2022). Semiotics from a social constructivist perspective. International Journal of Science and Mathematics Education, 20, 1499-1519. https://doi.org/10.1007/s10763-021-10212-y
Van Voorhis, F. L., Maier, M. F., Epstein, J. L., & Lloyd, C. M. (2013). The impact of family involvement on the education of children ages 3 to 8. A focus on literacy and math achievement outcomes and social-emotional skills. MDRC.
Watson, J. M. (2006). Statistical literacy at school: Growth and goals. Lawrence Erlbaum.
Watson, J. M. (2007). Inference as prediction. Australian Mathematics Teacher, 63(1), 6-11.
Weiland, T. (2017). Problematizing statistical literacy: An intersection of critical and statistical literacies. Educational Studies in Mathematics, 96, 33-47. https://doi.org/10.1007/s10649-017-9764-5
Yackel, E., Gravemeijer, K., & Sfard, A. (2011). A journey in mathematics education research. Insights from the work of Paul Cobb. Mathematics Education Library, 48, 167-177.
Zippert, Ε., & Rittle-Johnson, Β. (2020). The home math environment: More than numeracy. Early Childhood Research Quarterly, 50(3), 4-15. https://doi.org/10.1016/j.ecresq.2018.07.009

How to cite this article

APA

Michalopoulou, A., & Kafoussi, S. (2024). Investigating statistical predictions with first graders in Greece. International Electronic Journal of Mathematics Education, 19(2), em0771. https://doi.org/10.29333/iejme/14247

Vancouver

Michalopoulou A, Kafoussi S. Investigating statistical predictions with first graders in Greece. INT ELECT J MATH ED. 2024;19(2):em0771. https://doi.org/10.29333/iejme/14247

AMA

Michalopoulou A, Kafoussi S. Investigating statistical predictions with first graders in Greece. INT ELECT J MATH ED. 2024;19(2), em0771. https://doi.org/10.29333/iejme/14247

Chicago

Michalopoulou, Anastasia, and Sonia Kafoussi. "Investigating statistical predictions with first graders in Greece". International Electronic Journal of Mathematics Education 2024 19 no. 2 (2024): em0771. https://doi.org/10.29333/iejme/14247

Harvard

Michalopoulou, A., and Kafoussi, S. (2024). Investigating statistical predictions with first graders in Greece. International Electronic Journal of Mathematics Education, 19(2), em0771. https://doi.org/10.29333/iejme/14247

MLA

Michalopoulou, Anastasia et al. "Investigating statistical predictions with first graders in Greece". International Electronic Journal of Mathematics Education, vol. 19, no. 2, 2024, em0771. https://doi.org/10.29333/iejme/14247