ToST: A Tree-of-Thought Socratic Teaching Framework for Multi-Path Guidance and Parallel Thinking

arXiv:2608.25775 · cs.AI · Submitted 2026-08-26 · Read on arXiv

cs.AI

Submitted: 2026-08-26

Updated: 2026-08-26

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Benchmark — 17× in this paper · explained in 2 episodes
• Archetype — 11× in this paper · explained in 1 episode
• Parallel Reasoning Tree — 11× in this paper
• Accuracy — 8× in this paper · explained in 1 episode
• Alignment — 7× in this paper · explained in 1 episode
• LLM judge — 7× in this paper · explained in 2 episodes
• Multi-Path Adaptive Guidance — 7× in this paper
• Analyzer — 6× in this paper · explained in 1 episode
• Cognitive Load — 6× in this paper · explained in 2 episodes
• Consistency — 6× in this paper · explained in 3 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Large Language Models (LLMs) — 4× in this paper · explained in 6 episodes
• Reinforcement Learning — 4× in this paper · explained in 4 episodes
• Scaffolding — 4× in this paper · explained in 3 episodes
• Structure of Observed Learning Outcomes — 3× in this paper
• Fine-Tuning — 2× in this paper · explained in 5 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Knowledge Graph — 2× in this paper · explained in 7 episodes
• Structured Reasoning — 2× in this paper · explained in 3 episodes
• Ablation study — 1× in this paper · explained in 1 episode
• Abstraction — 1× in this paper · explained in 1 episode
• Adaptation — 1× in this paper · explained in 1 episode
• Artificial Intelligence (AI) — 1× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Chain-of-Thought Prompting — 1× in this paper · explained in 2 episodes
• Diagnostic Precision — 1× in this paper
• Generalizability — 1× in this paper · explained in 6 episodes
• Hierarchical Framework — 1× in this paper · explained in 2 episodes
• Instruction Tuning — 1× in this paper · explained in 2 episodes
• Knowledge graphs — 1× in this paper · explained in 2 episodes
• LoRA Fine-Tuning — 1× in this paper · explained in 3 episodes
• Multi-Agent Framework — 1× in this paper · explained in 3 episodes
• Online Reinforcement Learning — 1× in this paper · explained in 2 episodes
• Overview of the Tree-of-Thought Socratic Teaching — 1× in this paper
• Persistence Gain — 1× in this paper
• Personalization — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• SOLO Advancement Score — 1× in this paper
• Semantic Alignment — 1× in this paper · explained in 3 episodes
• Switching Gain — 1× in this paper
• Verifier — 1× in this paper · explained in 2 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• LLM Agents for Education: Advances and Applications
• Training Verifiers to Solve Math Word Problems
• DeepSeek-V3 Technical Report
• From Problem-Solving to Teaching Problem-Solving: Aligning LLMs with Pedagogy using Reinforcement Learning
• GoAI: Enhancing AI Students' Learning Paths and Idea Generation via Graph of AI Ideas
• Measuring Mathematical Problem Solving With the MATH Dataset
• CodeBLEU: a Method for Automatic Evaluation of Code Synthesis
• Qwen2 Technical Report
• CoderAgent: Simulating Student Behavior for Personalized Programming Learning with Large Language Models
• MARIO Eval: Evaluate Your Math LLM with your Math LLM--A mathematical dataset evaluation toolkit

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