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Addressing the need for efficient, scalable methods in equity-focused educational research, this study examines the integration of generative AI within the Computer-Assisted Qualitative Data Analysis (CAQDAS) framework. We developed an AI coding assistant using Claude 3.5 Sonnet to enhance Belonging-Centered Instruction (BCI) analysis in mathematics classrooms. Comparing AI and human coding across two 8th-grade mathematics videos, results show AI's potential for rapid processing (83% faster than humans) but reveal challenges in nuanced interpretation. AI coding assistant precision varied (55-66%) across classroom contexts, while human coders maintained 90%+ precision. This research contributes to evolving AI-assisted qualitative analysis in education, offering insights into hybrid approaches that leverage both AI capabilities and human expertise to advance equity in mathematics education.