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Recent advancements in eXplainable AI (XAI) for education have highlighted a critical challenge: ensuring that explanations for SoTA AI models are understandable for non-technical users such as educators and students. In response, we introduce iLLuMinaTE, a zero-shot, chain-of-prompts LLM XAI pipeline inspired by Miller et al.'s cognitive model of explanation. iLLuMinaTE is designed to deliver theory-driven, actionable feedback to students in online courses. iLLuMinaTE navigates three main stages — causal connection, explanation selection, and explanation presentation — drawing from eight philosophical theories, three XAI methods (LIME, Counterfactuals, MC-LIME), and data from three real-world online courses. Our extensive evaluation of 21,915 natural language explanations (NLE) of iLLuMinaTE across eight prompting strategies, three SOTA models (GPT-4o, Gemma2-9B, LLama-70B), and a real-world user study with 114 university students shows that iLLuMinaTE explanations are preferred over traditional explainers 89.52% of the time. Our work provides a robust, ready-to-use framework for effectively communicating hybrid (text and visual) XAI-driven insights in education, with significant potential for other human-centric fields.
