고등학생의 공학 도구를 활용한 수학적 모델링 사례 분석: 활동 이론을 중심으로

• 영문명: A Case Study of High School Students’ Mathematical Modeling Using Technological Tools: An Activity Theory Perspective
• 발행기관: 대한수학교육학회
• 저자명: 송채원(Chae-Won Song) 이경화(Kyeong-Hwa Lee)
• 간행물 정보: 『수학교육학연구』제35권 3호, 895~921쪽, 전체 27쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2025.08.31

국문 초록

수학적 모델링은 학생에게 인지적 부담을 유발할 수 있으며, 공학 도구는 이를 완화하는 동시에 새로운 인지적 긴장을 유발할 수도 있다. 본 연구는 활동이론의 관점에서, 고등학생이 공학 도구를 활용한 모델링 활동 중 경험하는 모순과 그 대응 과정에서 나타나는 활동체계의 변화를 분석하고자 한다. 이를 위해 공학 도구 사용을 과제 수행의 조건으로 설정하고, 세 명으로 구성된 소집단의 활동을 설계·관찰하였다. 분석 결과, 학생들이 경험한 모순은 주로 수학화하기 및 수학적으로 작업하기 과정에서 나타났으며, 공학 도구와 집단 내 상호작용을 통해 이를 해결하는 과정에서 활동체계의 변화와 함께 수학적 모델의 도출 및 새로운 해결 전략의 도입이 이루어졌다. 본 연구는 공학 도구가 학습과 변화의 매개로 작용할 수 있음을 보여주며, 효과적인 수업 설계를 위한 시사점을 제안한다.

영문 초록

Mathematical modeling can impose cognitive demands on students, while technological tools may alleviate these burdens or introduce new tensions. Grounded in activity theory, this study investigates how contradictions arise and how activity systems transform during high school students’ modeling tasks involving technological tools. A small group of three students engaged in a task where tool use was required. Analysis focused on episodes where contradictions emerged—particularly during mathematizing and working mathematically—and identified tensions between elements such as subject and object, tool and object, tool and division of labor, and tool and community. Students resolved these contradictions through collaboration and tool use, which led to the construction of mathematical models and new problem-solving strategies. The findings highlight the mediating role of technological tools in both cognitive and social aspects of modeling, offering implications for instructional design that supports student thinking and group interaction.

목차

Ⅰ. 서론

Ⅱ. 이론적 배경

Ⅲ. 연구 방법

Ⅳ. 연구 결과

Ⅴ. 결론 및 논의

CONFLICTS OF INTEREST

REFERENCES

키워드

수학적 모델링 공학 도구 활동 이론 모순 mathematical modeling technological tools activity theory contradictions

참고문헌

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