데이터 기반 확률교육을 위한 수학과 교육과정 재구조화 방향 탐색

Abstract

The aim of this study is to explore how to restructure the probability content standards in the national mathematics curriculum by pursuing the goals of developing probabilistic thinking competence and probabilistic problem solving. We named the perspective pursuing these goals as Data-Driven Probabilistic Education (DDPE) in that data sensitivity plays a significant role in probabilistic thinking and problem solving, and moreover relations between data and probability matter in statistics and machine learning fields. We further investigated into how to facilitate probabilistic thinking and probabilistic problem solving as well as what to adapt the meaning or grounding sense of the two major goals in the context of DDPE. Findings suggested some alterations to be made in the content standards and directions of teaching and learning in the curriculum document. First, to understand the probability concept based on data sensitivity, to understand randomness, and to solve probabilistic problems using modelling approach are suggested to be included in the contend standards. Second, we suggest to include contexts in which decisions about risk are made in the teaching and learning directions to enhance competence of dealing with volatility and uncertainty using probabilistic thinking competence. Third, rather than writing general statements on using technological tools, it is suggested to present specific ways or procedures of probability simulation using a computer in relation to understanding stages of probability concepts and solving probabilistic problems as guides to teaching and learning to realize DDPE.