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SBI-RAG: Enhancing Math Word Problem Solving for Students through Schema-Based Instruction and Retrieval-Augmented Generation

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arxiv 2410.13293 v2 pith:LC2WCOQA submitted 2024-10-17 cs.LG cs.AIcs.IR

classification cs.LGcs.AIcs.IR
keywords studentsgenerationinstructionreasoningsbi-ragschema-basedmathproblem-solving
verification ladder T0 review T1 audit T2 compute T3 formal

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Many students struggle with math word problems (MWPs), often finding it difficult to identify key information and select the appropriate mathematical operations. Schema-based instruction (SBI) is an evidence-based strategy that helps students categorize problems based on their structure, improving problem-solving accuracy. Building on this, we propose a Schema-Based Instruction Retrieval-Augmented Generation (SBI-RAG) framework that incorporates a large language model (LLM). Our approach emphasizes step-by-step reasoning by leveraging schemas to guide solution generation. We evaluate its performance on the GSM8K dataset, comparing it with GPT-4 and GPT-3.5 Turbo, and introduce a "reasoning score" metric to assess solution quality. Our findings suggest that SBI-RAG enhances reasoning clarity and facilitates a more structured problem-solving process potentially providing educational benefits for students.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Learning by Analogy: Enhancing Few-Shot Prompting for Math Word Problem Solving with Computational Graph-Based Retrieval

    cs.CL 2024-11 conditional novelty 6.0 of 10

    Retrieving few-shot examples by computational-graph similarity improves LLM math word problem accuracy by up to 6.7 points over semantic retrieval, without retraining the generator.

  2. An Overview and Discussion on Using Large Language Models for Implementation Generation of Solutions to Open-Ended Problems

    cs.CL 2024-12 unverdicted novelty 3.0 of 10

    A survey and position paper that reviews LLM prompting, RAG, and RL techniques and argues they could support open-ended implementation generation, without presenting new results.

  3. A Survey on Large Language Models for Mathematical Reasoning

    cs.AI 2025-06 conditional novelty 1.0 of 10

    Recent advances in LLM mathematical reasoning are organized into comprehension and generation phases, covering methods from prompting to test-time scaling.

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