mlsanityData to 14 Oct 2026

Large Language Models Don't Make Sense of Word Problems. A Scoping Review from a Mathematics Education Perspective

arXiv 2506.24006 ↗First posted 30 Jun 2025cs.CL math.HOcited by 1

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Abstract (arXiv)

The progress of Large Language Models (LLMs) like ChatGPT raises the question of how they can be integrated into education. One hope is that they can support mathematics learning, including word-problem solving. Since LLMs can handle textual input with ease, they appear well-suited for solving mathematical word problems. Yet their real competence, whether they can make sense of the real-world context, and the implications for classrooms remain unclear. We conducted a scoping review from a mathematics-education perspective, including three parts: a technical overview, a systematic review of word problems used in research, and a state-of-the-art empirical evaluation of LLMs on mathematical word problems. First, in the technical overview, we contrast the conceptualization of word problems and their solution processes between LLMs and students. In computer-science research this is typically labeled mathematical reasoning, a term that does not align with usage in mathematics education. Second, our literature review of 213 studies shows that the most popular word-problem corpora are dominated by s-problems, which do not require a consideration of realities of their real-world context. Finally, our evaluation of GPT-3.5-turbo, GPT-4o-mini, GPT-4.1, o3, and GPT-5 on 287 word problems shows that most recent LLMs solve these s-problems with near-perfect accuracy, including a perfect score on 20 problems from PISA. LLMs still showed weaknesses in tackling problems where the real-world context is problematic or non-sensical. In sum, we argue based on all three aspects that LLMs have mastered a superficial solution process but do not make sense of word problems, which potentially limits their value as instructional tools in mathematics classrooms.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 19 of its 59 references that are in the map. First posted on arXiv 30 Jun 2025.

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19 of 59 references.

References · 19

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7 more
  1. 2022NumGLUE: A Suite of Fundamental yet Challenging Mathematical Reasoning Taskscited by 112
  2. 2024Beyond Accuracy: Evaluating the Reasoning Behavior of Large Language Models -- A Surveycited by 83
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  1. 2023Three Questions Concerning the Use of Large Language Models to Facilitate Mathematics Learning
  2. 2025Large Language Models and Mathematical Reasoning Failures
  3. 2024Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments
  4. 2024Exposing the Achilles' Heel: Evaluating LLMs Ability to Handle Mistakes in Mathematical Reasoning
  5. 2024Physics of Language Models: Part 2.1, Grade-School Math and the Hidden Reasoning Process
  6. 2024Mathfish: Evaluating Language Model Math Reasoning via Grounding in Educational Curricula
  7. 2024LLMs Are Not Intelligent Thinkers: Introducing Mathematical Topic Tree Benchmark for Comprehensive Evaluation of LLMs
  8. 2025Evaluation of LLMs for mathematical problem solving