DESIGN AND EVALUATION OF VISUOGEOMETRY-TRAINER: A BAYESIAN KNOWLEDGE TRACING ADAPTIVE SYSTEM FOR 7TH GRADE VISUAL GEOMETRY EXERCISE

DESIGN AND EVALUATION OF VISUOGEOMETRY-TRAINER: A BAYESIAN KNOWLEDGE TRACING ADAPTIVE SYSTEM FOR 7TH GRADE VISUAL GEOMETRY EXERCISE

Dinh Quoc Nam* dqnam268@gmail.com Vo Truong Toan Lower secondary School 11 Nguyen Binh Khiem street, Sai Gon ward, Ho Chi Minh City, Vietnam
Nguyen Thi Hang nguyennhangg1992@gmail.com Dang Thuc Vinh Lower secondary School 1489/1 Dang Thuc Vinh street, hamlet 16, Dong Thanh, Ho Chi Minh City, Vietnam
Tran Ngoc Anh Thu anhthu12102001@gmail.com Vo Truong Toan Lower secondary School 11 Nguyen Binh Khiem street, Sai Gon ward, Ho Chi Minh City, Vietnam
Summary: 
This study details the design and initial evaluation of’ VisuoGeometry-Trainer, a Bayesian Knowledge Tracing (BKT) adaptive practice system aimed at addressing difficulties in visual geometry among 7th-grade students in Vietnam. The research methodology prioritizes pedagogical transparency, integrating: a structured question bank with items meticulously labeled with specific knowledge components (e.g., calculating the volume of a prism, identifying properties of a cube) and common misconceptions (e.g., confusing surface area with volume, misinterpreting 2D representations of 3D objects); a BKT-based model that probabilistically tracks the acquisition of each skill; and a transparent adaptive mechanism powered by the BKT model to emulate teachers’ decision-making. Key findings from a pilot study with eight students indicate that the system’s design is effective in personalizing learning paths, successfully identifying individual weaknesses, and adjusting difficulty levels in real-time.
Keywords: 
adaptive learning
Visual geometry
spatial reasoning
Bayesian Knowledge Tracing (BKT)
educational technology.
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