A Reconstruction of the Learning Hierarchy of Middle School Probability and Statistics Section: Focusing on 2015 Revision Mathematics Curriculum 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.