Abstract
Correlation is a basic statistical concept which is necessary for understanding the relationship between two variables when they change values. In the secondary curriculum of Korea, only in formal definition of correlation is taught with two-way data representations such as scatter plots and contingency tables in the middle school. In this study, we investigated Korean high school students’ understanding of correlation using a test consisting of 35 items about interpretation of scatter plot, contingency table, and text in realistic situation. Two hundred and sixteen students from a high school in Seoul took the test for 20 min. Most of students could tell a correlation and the direction of the correlation between two variables presented in a scatter plot. However, they exhibited the confusion between the steepness of slope and the strength of the correlation. Students had difficulties in determining the amount of association between two qualitative variables when the data are given in a 2-by-2 contingency table.
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Notes
- 1.
2007 Revised National Curriculum was announced on 28 February 2007, and this curriculum has been implemented since the 2009 school year starting with the first year students in middle school (seventh grade) and the first year students in high school (tenth grade). The subjects of this study, who are the first- and second-year high school (tenth and 11th grade) students at the time of 2011 had been taught under the previous curriculum, seventh curriculum in their middle school period. These students learned the concept of correlation informally through the bivariate data presentations of scatter plots in the middle school.
References
Baterno, C., Estepa, A., Godino, J. D., & Green, D. R. (1996). Intuitive strategies and preconceptions about association in contingency tables. Journal for Research in Mathematics Education, 27(2), 151–169.
Cleveland, W. S., Diaconis, P., & McGill, R. (1982). Variables on scatterplots look more highly correlated. Science, 216(4), 1138–1141.
Gal, I. (2004). Statistical literacy. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 227–256). Dordrecht, The Netherlands: Kluwer.
Ministry of Education, Science and Technology. (2007). Mathematics curriculum. Seoul, South Korea: Ministry of Education, Science and Technology.
Moritz, J. B. (2004). Reasoning about covariation. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 227–256). Dordrecht, The Netherlands: Kluwer.
Zieffler, A. S., & Garfield, J. B. (2009). Modeling the growth of students’ covariational reasoning during an introductory statistics course. Statistics Education Research Journal, 8(1), 7–31.
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No, AR., Han, SY., Yoo, Y.J. (2016). Korean High School Students’ Understanding of the Concept of Correlation. In: Ben-Zvi, D., Makar, K. (eds) The Teaching and Learning of Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-23470-0_7
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DOI: https://doi.org/10.1007/978-3-319-23470-0_7
Publisher Name: Springer, Cham
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