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Interpretable Math Word Problem Solution Generation Via Step-by-step Planning

Authors
Mengxue Zhang,
Zichao Wang,
Zhichao Yang,
Weiqi Feng,
Andrew Lan
Date
Publisher
arXiv
Solutions to math word problems (MWPs) with step-by-step explanations are valuable, especially in education, to help students better comprehend problem-solving strategies. Most existing approaches only focus on obtaining the final correct answer. A few recent approaches leverage intermediate solution steps to improve final answer correctness but often cannot generate coherent steps with a clear solution strategy. Contrary to existing work, we focus on improving the correctness and coherence of the intermediate solutions steps. We propose a step-by-step planning approach for intermediate solution generation, which strategically plans the generation of the next solution step based on the MWP and the previous solution steps. Our approach first plans the next step by predicting the necessary math operation needed to proceed, given history steps, then generates the next step, token-by-token, by prompting a language model with the predicted math operation. Experiments on the GSM8K dataset demonstrate that our approach improves the accuracy and interpretability of the solution on both automatic metrics and human evaluation.
Study at a glance
  • Question: Can planning each step help AI generate more accurate and understandable explanations for math word problems?
  • Setting and data: The GSM8K math word problem dataset
  • Method: Tests a new AI planning approach using automated metrics and human evaluation
Why it matters

Step-by-step explanations help students better comprehend math problem-solving strategies. However, most existing approaches focus only on the final answer or fail to generate coherent steps with a clear solution strategy.

Key findings
  • On the GSM8K math dataset, an AI step-by-step planning approach improved solution accuracy and interpretability across both automated and human evaluations.
  • Existing AI models that use intermediate calculation steps often fail to generate coherent steps with a clear problem-solving strategy.
  • Most existing AI approaches focus strictly on obtaining the final correct answer rather than generating step-by-step explanations.

Summary drafted with AI from the paper’s abstract and may contain errors. See the full paper for details.

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