중등 수학영재의 창의적 사고 촉진을 위한 융합 교육 프로그램 개발: 게임이론을 중심으로 = Development of a STEAM Program to Foster Creative Thinking in Secondary Mathematics-Gifted Students: Focusing on Game Theory

다국어 초록 (Multilingual Abstract)

The purpose of this study is to develop a STEAM education program that can foster creative thinking among secondary mathematics-gifted students. In modern society, the advancement of artificial intelligence and technology demands creative thinking, critical thinking, and convergent problem-solving competencies. Consequently, the need for integrated education that connects mathematics with other disciplines has been increasing. Mathematics-gifted students, in particular, possess high cognitive ability and creative and logical thinking skills that enable them to extend mathematical concepts across various contexts, making them well suited for the effective design and implementation of STEAM education. The program consists of six class sessions centered on game theory—specifically the concept of Nash Equilibrium—and includes activities that mathematically represent social and economic situations. Through four major tasks, the program aims to promote creative thinking by inducing cognitive conflict, allowing diverse forms of expression, and encouraging social interaction. The results show that students engaged in cyclical learning involving the establishment, verification, and revision of mathematical definitions while completing the tasks. Various representations bridging geometry and algebra were explored, and creative thinking elements such as fluency, flexibility, originality, and elaboration were observed. This study offers practical strategies for mathematics-centered STEAM education and suggests future research to examine effectiveness across grade levels and broader disciplinary integration.