고등학교 <확률과 통계>의 통계적 추정 단원 재구조화 방안 탐색

Abstract

This study aimed to improve statistical estimation teaching practices in school mathematics, support the development of textbooks according to the 2022 revised mathematics curriculum, and the implementation of the curriculum in the schools. Apropos this, the directions of restructuring the statistical estimation unit were derived by synthesizing the results of previous studies related to statistical estimation. Based on these, specific restructuring suggestions for the statistical estimation unit are proposed as follows. First, in relation to the meaning of the sample and sampling method, it is necessary to focus on the bias in the sampling process to promote conceptual understanding in terms of sample representativeness and to promote the recognition of sampling variability using technologies. Second, in relation to sampling distribution, it is necessary to construct contents that promote conceptual understanding of sampling distribution and the relationship between sample size and sampling variability using simulation. Third, in relation to the confidence interval, it is necessary to construct contents that promote the recognition of the confidence levels as probabilistic confidence and provide interpretation and evaluation opportunities of estimation results using sampling errors. In addition, some examples from foreign mathematics textbooks, that can be referred to when implementing each restructuring suggestion, are explored and presented.