A Reconstruction of the Learning Hierarchy of Middle School Probability and Statistics Section: Focusing on 2015 Revision Mathematics Curriculum of Korea
AUTHORS
Soo-Cheol Kim,Department of Mathematics Education, Daegu Catholic University, Gyeongsangbuk-do, Republic of Korea
ABSTRACT
In this study, the researchers analyzed the mathematics curriculum of elementary and middle school in the section of ‘probability and statistics’. They also reconstructed the learning hierarchy by using a national curriculum document and the results of the previous studies. Based on the results of the 2015 revision curriculum analysis and the previous studies on the learning hierarchy segmentation, the learning hierarchy of’ probability and statistics’ section are reconstructed from elementary school mathematics to middle school mathematics. The researchers extracted the content elements using the revision curriculum [5] and Kim’s report [6], and they subdivided and restructured the learning contents of ‘probability and statistics’ using the results of the learning hierarchy segmentation of Park’s report [3]. The segmentation and reconstruction of the learning hierarchy in the section of ‘probability and statistics’ of school mathematics facilitates the diagnosis of the learning deficits about the statistical concepts because the segmentation of the learning hierarchy can increase the accuracy of the diagnostic tool. Moreover, it enables the customized prescriptions for learners in the section of ‘probability and statistics’. Since the diagnosis and prescription functions of learning are essential elements in an AI-based mathematics education system, the result of this study can be used as basic data for building the system.
KEYWORDS
Learning hierarchy, Probability and statistics, Curriculum, Mathematics
REFERENCES
[1] N. Huh and S. C. Kim, “Development of mathematics assessment and correction materials according to mathematics learning hierarchy: Focused on the function for 7th grade,” East Asian Mathematical Journal, vol.36, no.4, pp.437-454, (2020)
[2] N. Huh, H. Y. Kim, and S.C. Kim, “An application of mathematics assessment and correction model according to learning hierarchy,” School Mathematics, vol.22, no.3, pp.671-687, (2020)
[3] Y. B. Park, H. S. Park, J. H. Do, D. H. Han, M. H. Lee, E. Y. Choi, E. M. Park, and M. R. Lee, “A study of the hierarchical structure of the content in school mathematics curriculum,” The report of KOFAC, Republic of Korea, (2014)
[4] M.O.E.S.T, “Curriculum revision issued 2009: Mathematics curriculum, Republic of Korea,” Ministry of Education, Science and Technology, (2011)
[5] M.O.E, “Curriculum revision issued 2015: Mathematics curriculum, Republic of Korea,” Ministry of Education, (2015)
[6] Y. W. Kim, Y. R. Kim, D. G. Sin, S. W. Lee, J. W. Jang, and D. S. Jo, “A study on extraction of content elements,” The report of KOFAC, Republic of Korea, (2015)
[7] B. N. Lee and S. C. Kim, “Development of elementary school mathematics assessment tools and correction materials according to mathematics learning hierarchy,” Proceedings of 2020 Youngnam Mathematical Society Annual Meeting, Online, September, 26, (2020)
[8] S.C. Kim, “Development of mathematics assessment and correction model according to learning hierarchy,” Proceedings of The Korean Society of Mathematical Education, Online, August, 21, (2020