교사들의 통계적 추론 분석
An Analysis of Teachers' Statistical Reasoning
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이 연구는 교사들의 통계적 추론을 분석함으로써 통계 교수-학습과 관련된 교수학적 함의를 기술하고 통계 교육에 대한 교사 전문성 개발에의 시사점을 모색하고자 하였다. 선행연구 분석을 통해 통계적 추론의 의미와 통계적 추론 요소의 특징을 살펴보았으며 교사들의 통계적 추론 분석에서 살펴볼 필요가 있는 주요 쟁점을 확인하였다. 이를 토대로 구체화한 지필검사 도구를 교사 32명에게 적용하여 얻은 결과를 분석하고 교사들의 통계적 추론과 관련된 특징을 통계적 추론 요소별로 범주화하여 설명하였다. 통계적 추론 요소에 따라 교사들이 보인 통계적 추론의 특징을 요약하면서 통계 교수-학습 및 교사 전문성 개발에의 함의와 시사점을 도출하였다.
Abstract
This study analyzed characteristics of teachers' statistical reasoning. The aims of this study based on the analysis were to deduce implications in terms of the various means which would enhance students' statistical reasoning and teachers' professional development in designing and implementing statistics instructions. In order to achieve the aims, this study conducted didactical analysis related statistical reasoning through examining previous researches and a questionnaire was developed with reference to the results of the analysis and Garfield(2003). The questionnaire was given to 32 teachers and qualitative methods were used to analyze the data obtained from the written responses by the participants. This study also elaborated the framework descriptors for interpreting the teachers' responses in the light of the didactical analysis and the data was elucidated in terms of this framework. The specific features of the teachers’ statistical reasoning were delineated according to the four types of the reasoning(Garfield, 2003). In addition, some issues in the teacher education for teaching statistics were identified in the categories of ‘reasoning about statistical measures’, ‘reasoning about uncertainty’, ‘reasoning about samples’ and ‘reasoning about association’. The results of this research could provide inspiration for improving teacher education program.
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