DOP: Diagnostic-Oriented Prompting for Large Language Models in Mathematical Correction

Fuente: arXiv
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Main Authors: Chen, Hao, Zeng, Biaojie, Lin, Xin, He, Liang, Zhou, Aimin
Format: Preprint
Published: 2024
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author Chen, Hao
Zeng, Biaojie
Lin, Xin
He, Liang
Zhou, Aimin
author_facet Chen, Hao
Zeng, Biaojie
Lin, Xin
He, Liang
Zhou, Aimin
contents Math world problems correction(MWPC) is a novel task dedicated to rectifying reasoning errors in the process of solving mathematical problems. In this paper, leveraging the advancements in large language models (LLMs), we address two key objectives:(1) Distinguishing between mathematical reasoning and error correction; (2) Exploring strategies to enhance the error correction capabilities of LLMs in mathematics to solve MWPC task. We noticed that, in real-time education,assisting students in recognizing their mistakes is more crucial than simply providing correct answers. However, current research tends to prioritize obtaining accurate solutions to math problems rather than correcting potentially incorrect ones. Therefore, we modify the research paradigm, demonstrating that improving mathematical reasoning abilities does not equate to mastery in error correction. Meanwhile, we propose a novel method called diagnostic-oriented promping(DOP) aimed at facilitating LLMs to excel in error correction. In experiments, DOP has shown outstanding performance, highlighting its significant impact. We argue that in mathematical education, the demand for outstanding correctors surpasses that for proficient reasoners. Codes and data are available on https://github.com/ChenhaoEcnuCS/Reason-Correct.
format Preprint
id arxiv_https___arxiv_org_abs_2405_12100
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle DOP: Diagnostic-Oriented Prompting for Large Language Models in Mathematical Correction
Chen, Hao
Zeng, Biaojie
Lin, Xin
He, Liang
Zhou, Aimin
Computation and Language
Math world problems correction(MWPC) is a novel task dedicated to rectifying reasoning errors in the process of solving mathematical problems. In this paper, leveraging the advancements in large language models (LLMs), we address two key objectives:(1) Distinguishing between mathematical reasoning and error correction; (2) Exploring strategies to enhance the error correction capabilities of LLMs in mathematics to solve MWPC task. We noticed that, in real-time education,assisting students in recognizing their mistakes is more crucial than simply providing correct answers. However, current research tends to prioritize obtaining accurate solutions to math problems rather than correcting potentially incorrect ones. Therefore, we modify the research paradigm, demonstrating that improving mathematical reasoning abilities does not equate to mastery in error correction. Meanwhile, we propose a novel method called diagnostic-oriented promping(DOP) aimed at facilitating LLMs to excel in error correction. In experiments, DOP has shown outstanding performance, highlighting its significant impact. We argue that in mathematical education, the demand for outstanding correctors surpasses that for proficient reasoners. Codes and data are available on https://github.com/ChenhaoEcnuCS/Reason-Correct.
title DOP: Diagnostic-Oriented Prompting for Large Language Models in Mathematical Correction
topic Computation and Language
url https://arxiv.org/abs/2405.12100