Challenge: Large Language Models (LLMs) have shown strong performance in solving mathematical problems, with code-based solutions proving particularly effective.
Approach: They propose a learning strategy to enhance mathematical reasoning by diversifying the coding styles of code-based rationales.
Outcome: The proposed learning strategy outperforms its baseline model, MAmmoTH, which uses code-based solutions.

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MuggleMath: Assessing the Impact of Query and Response Augmentation on Math Reasoning (2024.acl-long)

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Challenge: In math reasoning with large language models, fine-tuning data augmentation by query evolution and diverse reasoning paths is empirically verified effective.
Approach: They propose to fine-tune data augmentation by query evolution and diverse reasoning paths.
Outcome: The proposed model achieves new state-of-the-art on GSM8K and MATH.
TMATH A Dataset for Evaluating Large Language Models in Generating Educational Hints for Math Word Problems (2025.coling-main)

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Challenge: Large Language Models (LLMs) are increasingly being applied in education, showing significant potential in personalized instruction, student feedback, and intelligent tutoring systems (ITSs).
Approach: They propose a dataset specifically designed to evaluate LLMs’ ability to generate high-quality hints for Math Word Problems.
Outcome: The proposed dataset shows that LLMs can generate more accurate and contextually appropriate educational hints for math word problems without offering direct answers.
MathMixup: Boosting LLM Mathematical Reasoning with Difficulty-Controllable Data Synthesis and Curriculum Learning (2026.findings-acl)

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Challenge: Existing data synthesis methods suffer from limited diversity and lack precise control over problem difficulty, making them insufficient for efficient training paradigms such as curriculum learning.
Approach: They propose a data synthesis paradigm that generates high-quality, difficulty-controllable mathematical reasoning problems through hybrid and decomposed strategies.
Outcome: The proposed paradigm outperforms existing methods and improves mathematical reasoning abilities.
HighMATH: Evaluating Math Reasoning of Large Language Models in Breadth and Depth (2025.findings-emnlp)

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Challenge: a gap in math models' accuracy has been widened with the development of large language models (LLMs) . a new study aims to bridge this gap by evaluating a set of high-level math reasoning models .
Approach: They propose to evaluate large language models on existing math benchmarks to bridge this gap . they collect 5,293 problems from Chinese senior high school mathematics exams .
Outcome: The proposed model is based on o1-like models and a high-level model.
ControlMath: Controllable Data Generation Promotes Math Generalist Models (2024.emnlp-main)

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Challenge: Currently, mathematical reasoning is one of the most challenging areas for closed-source LLMs.
Approach: They propose an iterative method involving an equation-generator module and two LLM-based agents that generate diverse equations and transform them into math word problems.
Outcome: The proposed method enables the generation of diverse math problems, not limited to specific domains or distributions.
ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations (2025.findings-acl)

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Challenge: Existing methods to train large language models do not capture how humans learn to think.
Approach: They propose a method to fine-tune large language models for mathematical reasoning by using a text-infilling task that predicts masked equations from a given solution.
Outcome: Experiments on GSM8K, MATH, and GSM-Symbolic show that ClozeMath surpasses baseline Masked Thought in performance and robustness with two test-time scaling decoding algorithms, Beam Search and Chain-of-Thought decoding.
Evaluating LLMs’ Mathematical and Coding Competency through Ontology-guided Interventions (2025.findings-acl)

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Challenge: Current large language models have shown impressive performance on logical reasoning benchmarks . however, the true depth of their competencies and robustness in reasoning tasks remains an open question .
Approach: They propose a general ontology of perturbations and a semi-automatic method to apply perturbations to arithmetic reasoning and code generation datasets to test their LLMs' capabilities.
Outcome: The proposed model outperforms existing models on arithmetic reasoning and code generation tasks.
PyraMathBench: Evaluating and Improving Mathematical Capability in Large Language Models (2026.findings-acl)

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Challenge: Numerical reasoning is ubiquitous in scientific research and financial analysis, but few benchmarks evaluate them by integrating numerical processing and mathematical reasoning.
Approach: They propose a numerically-integrated hierarchical benchmark with 27,215 questions derived from 7,404 math word problems that spans 4 key cognitive aspects, 14 subcategories, and 2 modalities.
Outcome: The proposed model improves Qwen-2.5 score with SOLVE and IRPO training.
More Data or Better Data? A Critical Analysis of Data Selection and Synthesis for Mathematical Reasoning (2025.emnlp-industry)

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Challenge: Despite various proposed data construction methods, their practical utility in real-world pipelines remains underexplored.
Approach: They conduct a comprehensive analysis of open-source datasets and data synthesis techniques for mathematical reasoning under a unified pipeline designed to mirror training and deployment scenarios.
Outcome: The proposed pipelines mirror training and deployment scenarios and are suitable for industrial applications.
FLAMES: Improving LLM Math Reasoning via a Fine-Grained Analysis of the Data Synthesis Pipeline (2025.findings-emnlp)

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Challenge: Recent work improving LLM math reasoning with synthetic data uses unique setups, making comparison of data synthesis strategies impractical.
Approach: They propose a framework for LLM assessment of math reasoning with synthetic data . they use 10 existing data synthesis strategies and multiple other factors to study performance .
Outcome: The proposed data synthesis strategies outperform public datasets on OlympiadBench, CollegeMath, GSMPlus and MATH.

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