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8 - Metacognitive Insights into ChatGPT’s Arithmetic Reasoning

from Part IV - Metacognition with LLMS

Published online by Cambridge University Press:  aN Invalid Date NaN

Paulo Shakarian
Affiliation:
Syracuse University, New York
Hua Wei
Affiliation:
Arizona State University
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Summary

We study the performance of a commercially available large language model (LLM) known as ChatGPT on math word problems (MWPs) from the dataset DRAW-1K. To our knowledge, this is the first independent evaluation of ChatGPT. We found that ChatGPT’s performance changes dramatically based on the requirement to show its work, failing $20\%$ of the time when it provides work compared with $84\%$ when it does not. Further, several factors about MWPs relate to the number of unknowns and number of operations that lead to a higher probability of failure when compared with the prior, specifically noting (across all experiments) that the probability of failure increases linearly with the number of addition and subtraction operations. We also have released the dataset of ChatGPT’s responses to the MWPs to support further work on the characterization of LLM performance and present baseline machine learning models to predict if ChatGPT can correctly answer an MWP.

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Publisher: Cambridge University Press
Print publication year: 2025

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