Leakage Analysis in LLM-based Tutoring on GSM8K
0Student LeakageManually Defined Prompts
Evaluation Results
| Method | Links | ||||
|---|---|---|---|---|---|
| Manually Defined PromptsTutor Model=Llama-8B, Tutor Type=Base In-Context Tutor2026.04 | 0 | — | 40 | 8.92 | |
| Manually Defined PromptsTutor Model=Qwen-32B, Tutor Type=Base In-Context Tutor2026.04 | 0 | — | 46 | 10.03 | |
| Manually Defined PromptsTutor Model=Qwen-7B, Tutor Type=Base In-Context Tutor2026.04 | 0 | — | 75 | 5.53 | |
| Manually Defined PromptsTutor Model=Llama-8B, Tutor Type=Multi-Agent Tutor2026.04 | 0 | — | 9 | 11.56 | |
| Manually Defined PromptsTutor Model=Qwen-32B, Tutor Type=Multi-Agent Tutor2026.04 | 0 | — | 4 | 10.68 | |
| Manually Defined PromptsTutor Model=Qwen-7B, Tutor Type=Multi-Agent Tutor2026.04 | 0 | — | 49 | 7.98 | |
| Manually Defined PromptsTutor Model=Llama-8B, Tutor Type=Tutor w/ Reasoning2026.04 | 0 | — | 10 | 10.6 | |
| Manually Defined PromptsTutor Model=Qwen-32B, Tutor Type=Tutor w/ Reasoning2026.04 | 0 | — | 2 | 8.38 | |
| Manually Defined PromptsTutor Model=Qwen-7B, Tutor Type=Tutor w/ Reasoning2026.04 | 0 | — | 22 | 9.32 | |
| Finetuned Adv. AgentTutor Model=Qwen-7B, Tutor Type=Base In-Context Tutor2026.04 | 2 | 8.73 | 82 | 6.3 | |
| Finetuned Adv. AgentTutor Model=Qwen-32B, Tutor Type=Base In-Context Tutor2026.04 | 3 | 10.95 | 70 | 10.78 | |
| Finetuned Adv. AgentTutor Model=Qwen-32B, Tutor Type=Multi-Agent Tutor2026.04 | 3 | 12.53 | 4 | 12.2 | |
| Finetuned Adv. AgentTutor Model=Qwen-7B, Tutor Type=Multi-Agent Tutor2026.04 | 3 | 13.18 | 61 | 9.86 | |
| Finetuned Adv. AgentTutor Model=Llama-8B, Tutor Type=Tutor w/ Reasoning2026.04 | 3 | 15.53 | 3 | 10.65 | |
| Finetuned Adv. AgentTutor Model=Qwen-7B, Tutor Type=Tutor w/ Reasoning2026.04 | 3 | 11.39 | 38 | 12.01 | |
| Finetuned Adv. AgentTutor Model=Llama-8B, Tutor Type=Base In-Context Tutor2026.04 | 4 | 11.52 | 34 | 10.69 | |
| Finetuned Adv. AgentTutor Model=Llama-8B, Tutor Type=Multi-Agent Tutor2026.04 | 4 | 12.66 | 6 | 10.39 | |
| Finetuned Adv. AgentTutor Model=Qwen-32B, Tutor Type=Tutor w/ Reasoning2026.04 | 4 | 13.99 | 3 | 9.08 | |
| LLM-Generated AttacksTutor Model=Llama-8B, Tutor Type=Base In-Context Tutor2026.04 | 7 | 5.13 | 52 | 8.1 | |
| LLM-Generated AttacksTutor Model=Qwen-7B, Tutor Type=Base In-Context Tutor2026.04 | 7 | 3.95 | 65 | 5.77 | |
| LLM-Generated AttacksTutor Model=Qwen-7B, Tutor Type=Multi-Agent Tutor2026.04 | 8 | 5.17 | 39 | 7.82 | |
| LLM-Generated AttacksTutor Model=Qwen-32B, Tutor Type=Base In-Context Tutor2026.04 | 9 | 5.54 | 23 | 9.77 | |
| LLM-Generated AttacksTutor Model=Llama-8B, Tutor Type=Multi-Agent Tutor2026.04 | 9 | 6.04 | 11 | 10.74 | |
| LLM-Generated AttacksTutor Model=Qwen-32B, Tutor Type=Multi-Agent Tutor2026.04 | 9 | 6.31 | 2 | 10.61 | |
| LLM-Generated AttacksTutor Model=Llama-8B, Tutor Type=Tutor w/ Reasoning2026.04 | 9 | 6.02 | 12 | 13.07 | |
| LLM-Generated AttacksTutor Model=Qwen-32B, Tutor Type=Tutor w/ Reasoning2026.04 | 9 | 6.06 | 3 | 7.27 | |
| LLM-Generated AttacksTutor Model=Qwen-7B, Tutor Type=Tutor w/ Reasoning2026.04 | 9 | 6.27 | 6 | 10.01 | |
| Multi-Agent StudentTutor Model=Qwen-7B, Tutor Type=Base In-Context Tutor2026.04 | 27 | 5.69 | 48 | 7.04 | |
| Multi-Agent StudentTutor Model=Llama-8B, Tutor Type=Base In-Context Tutor2026.04 | 41 | 7.43 | 27 | 9.54 | |
| Multi-Agent StudentTutor Model=Qwen-7B, Tutor Type=Multi-Agent Tutor2026.04 | 41 | 6.76 | 24 | 9.3 | |
| Multi-Agent StudentTutor Model=Qwen-7B, Tutor Type=Tutor w/ Reasoning2026.04 | 42 | 7.67 | 14 | 10.68 | |
| Student w/ ReasoningTutor Model=Qwen-7B, Tutor Type=Base In-Context Tutor2026.04 | 45 | 5.27 | 25 | 7.21 | |
| Multi-Agent StudentTutor Model=Llama-8B, Tutor Type=Multi-Agent Tutor2026.04 | 50 | 8.22 | 5 | 12.73 | |
| Multi-Agent StudentTutor Model=Llama-8B, Tutor Type=Tutor w/ Reasoning2026.04 | 50 | 9.03 | 7 | 12.22 | |
| Student w/ ReasoningTutor Model=Qwen-7B, Tutor Type=Tutor w/ Reasoning2026.04 | 51 | 6.9 | 6 | 9.81 | |
| Student w/ ReasoningTutor Model=Qwen-7B, Tutor Type=Multi-Agent Tutor2026.04 | 52 | 5.57 | 12 | 8.44 | |
| Student w/ ReasoningTutor Model=Llama-8B, Tutor Type=Base In-Context Tutor2026.04 | 55 | 6.16 | 18 | 10.74 | |
| Multi-Agent StudentTutor Model=Qwen-32B, Tutor Type=Tutor w/ Reasoning2026.04 | 55 | 7.13 | 5 | 8.86 | |
| Multi-Agent StudentTutor Model=Qwen-32B, Tutor Type=Base In-Context Tutor2026.04 | 56 | 7.18 | 13 | 10.73 | |
| Student w/ ReasoningTutor Model=Llama-8B, Tutor Type=Multi-Agent Tutor2026.04 | 58 | 6.83 | 3 | 10.99 | |
| Base Student Adv. AgentTutor Model=Qwen-7B, Tutor Type=Base In-Context Tutor2026.04 | 61 | 5.19 | 14 | 6.44 | |
| Base Student Adv. AgentTutor Model=Qwen-7B, Tutor Type=Tutor w/ Reasoning2026.04 | 61 | 6.48 | 8 | 9.69 | |
| Student w/ ReasoningTutor Model=Llama-8B, Tutor Type=Tutor w/ Reasoning2026.04 | 61 | 7.21 | 5 | 12.17 | |
| Student w/ ReasoningTutor Model=Qwen-32B, Tutor Type=Multi-Agent Tutor2026.04 | 62 | 6.39 | 1 | 13.42 | |
| Student w/ ReasoningTutor Model=Qwen-32B, Tutor Type=Base In-Context Tutor2026.04 | 63 | 6.19 | 9 | 11.09 | |
| Student w/ ReasoningTutor Model=Qwen-32B, Tutor Type=Tutor w/ Reasoning2026.04 | 63 | 6.21 | 4 | 9.63 | |
| Multi-Agent StudentTutor Model=Qwen-32B, Tutor Type=Multi-Agent Tutor2026.04 | 63 | 7.67 | 0 | 8.5 | |
| Base Student Adv. AgentTutor Model=Llama-8B, Tutor Type=Base In-Context Tutor2026.04 | 64 | 6.08 | 10 | 10.04 | |
| Base Student Adv. AgentTutor Model=Qwen-7B, Tutor Type=Multi-Agent Tutor2026.04 | 66 | 5.44 | 6 | 8.75 | |
| Base Student Adv. AgentTutor Model=Llama-8B, Tutor Type=Tutor w/ Reasoning2026.04 | 66 | 6.76 | 3 | 11.64 | |
| Base Student Adv. AgentTutor Model=Llama-8B, Tutor Type=Multi-Agent Tutor2026.04 | 68 | 6.5 | 1 | 12.97 | |
| Base Student Adv. AgentTutor Model=Qwen-32B, Tutor Type=Tutor w/ Reasoning2026.04 | 73 | 5.75 | 2 | 7.88 | |
| Base Student Adv. AgentTutor Model=Qwen-32B, Tutor Type=Base In-Context Tutor2026.04 | 75 | 5.76 | 4 | 9.64 | |
| Base Student Adv. AgentTutor Model=Qwen-32B, Tutor Type=Multi-Agent Tutor2026.04 | 76 | 5.77 | 0 | 5 |