수학적 모델링 관점에서 바라본 고등학교 <정보> 교과서의 모델링 과제 분석

Abstract

Objectives The purpose of this study was to analyze high school information textbooks from the perspective of mathematical modeling, with the goal of gaining insights for designing mathematical modeling tasks using digital resources.
 Methods To achieve this objective, the study selected the ‘modeling’ unit and ‘project unit’ tasks from eight high school information textbooks for analysis, and conducted a literature review. The study examined whether the modeling tasks were related to mathematics or real-life scenarios, and analyzed them through the lens of the mathematical modeling cycle and computational thinking skills, which are increasingly recognized as crucial competencies for the future workforce, including digital literacy.
 Results The material in the ‘Modeling’ unit of the high school <information> textbook was heavily based on ‘mathematics’. <Information> ‘Modeling’ is treated as a method of abstraction in the textbook, and when analyzed as a process of ‘mathematical modeling cycle’, it consists of constructing, simplifying, and mathematizing. The results of the analysis showed that the treatment of ‘modeling’ in the information textbooks was distinct from ‘mathematical modeling,’ as it was seen primarily as a method of abstraction. However, the project tasks in the information textbooks included most of the components of the mathematical modeling cycle and the computational thinking process, and were organized as independent units for a systematic experience of the modeling process.
 Conclusions Based on these findings, the study concludes that a systematic discussion is needed to teach ‘mathematical modeling’ in connection with modeling tasks in the information textbooks in order to foster digital literacy, which is a crucial competency for future societies. Additionally, the modeling and project tasks in the information textbooks can be modified and supplemented to be incorporated into mathematics courses. Finally, the study recommends organizing project tasks related to mathematical modeling into independent units to better structure mathematics textbooks.