School Mathematics (대한수학교육학회지:학교수학)

The Korea Society of Educational Studies in Mathematics (대한수학교육학회)
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Study on the Levels of Informal Statistical Inference of the Middle and High School Students

중·고등학생들의 비형식적 통계적 추리의 수준 연구

  • Received : 2017.08.10
  • Accepted : 2017.09.15
  • Published : 2017.09.30
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Abstract

The statistical education researchers advise instructors to educate informal statistical inference and they are paying close attention to the progress of the statistical inference in general. This study was conducted by analyzing the levels and the traits of each levels of the informal statistical inference of the middle and high school students for comparing the samples of data and estimating the graph of a population. Research has shown that five levels of the informal statistical inference were identified for comparing the samples of data: responses that are distracted or misled by an irrelevant aspect, responses that focus on frequencies of individual data points and hold a local view of the sample data sets, responses that the student's view of the data is transitioning from local to global, responses that hold a global view but do not clearly integrate multiple aspects of the distribution, and responses that integrate multiple aspects of the distribution. Another five levels of the informal statistical inference were identified for estimating the graph of a population: responses that are distracted or misled by an irrelevant aspect, responses that focus only on representativeness, responses that consider both representativeness and variability and focus on one particular aspect of the distribution, responses that focus on multiple aspects of distribution but do not clearly integrate them, and responses that integrate multiple aspects of the distribution.

통계교육 연구자들은 형식적 추리 방법을 지도하기에 앞서 비형식적 추리를 지도할 것을 강조하며 통계적 추리의 발달 과정에 주목하고 있다. 본 연구는 표본 비교하기 과제와 모집단의 그래프 추측하기 과제를 해결하는 과정에서 나타나는 중 고등학생들의 비형식적 통계적 추리의 수준과 각 수준별 특징을 분석하였다. 연구 결과, 표본 비교하기 과제에서는 개인적인 의견에 기초하여 타당하지 않은 추리를 하는 수준, 자료에 대한 국소적 관점을 가진 수준, 자료에 대한 전체적 관점으로 전환되는 수준, 분포의 다각적인 측면에 주목하는 수준, 통계적 개념들을 통합하여 추리하는 수준이 확인되었다. 모집단의 그래프 추측하기 과제에서는 개인적인 의견에 기초하여 타당하지 않은 추리를 하는 수준, 표본대표성에만 주목하고 표집변이성을 고려하지 않는 수준, 표본대표성과 표집변이성을 모두 고려하며 분포의 한 측면에 주목하여 부분적으로 타당한 추리를 하는 수준, 분포의 다각적 측면에 주목하는 수준, 통계적 개념들을 통합하여 추리하는 수준이 확인되었다.

Keywords

References

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