인공지능 통합 환경에서 2022 개정 수학과 교육과정에 따른 역량 기반 수학 학습 경로 구성 모델 = A Competency-Based Mathematics Learning Path Construction Model in AI-Integrated Environments Based on the 2022 Revised Mathematics Curriculum

다국어 초록 (Multilingual Abstract)

In this study, we propose competency-based mathematics learning path construction model, grounded in a 2022 revised mathematics curriculum and theoretical view of intelligent tutoring systems. To this end, based on a prior literature review, the knowledge map commonly employed in ITS are extended into a mathematics competency map that enables the diagnosis with the framework of knowledge-understanding, process-skill, and value-attitude in the 2022 revised mathematics curriculum. In addition, AI-supported mathematics learning tools are categorized into recommendation, dialogue, manipulation, assessment, and collaboration types by incorporating the categorization of Shin et al. (2025). The proposed mathematics learning path model features a cyclical structure that dynamically constructs and updates learning paths by diagnosing learners’ competencies using interaction data from AI-supported learning tools. For future studies, the proposed model may serve as a theoretical foundation for the design and implementation of competency-based mathematics education in future AI-integrated learning environments.