---
title: "We-Math — paper by Qiao et al. (2024) — summary and ideas"
description: "We-Math tries to fix this by grounding evaluation in textbook knowledge concepts. 109 references, cited by 65 papers here."
authors: ["Runqi Qiao", "Qiuna Tan", "Guanting Dong", "Minhui Wu", "Chong Sun", "Xiaoshuai Song", "Zhuoma GongQue", "Shanglin Lei", "Zhe Wei", "Miaoxuan Zhang", "Runfeng Qiao", "Yifan Zhang", "Xiao Zong", "Yida Xu", "Muxi Diao", "Zhimin Bao", "Chen Li", "Honggang Zhang"]
year: 2024
venue: "arXiv:2407.01284"
source: "https://arxiv.org/abs/2407.01284"
doi: "10.48550/arxiv.2407.01284"
arxiv: "2407.01284"
licence: "arXiv — non-exclusive license to distribute"
licence_url: "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
summary_licence: "Elamur Cosmic License"
canonical: "https://research.elamur.ai/free/en/papers/qiao-2024-math-large-multimodal-model-achieve/"
---
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# We-Math: Does Your Large Multimodal Model Achieve Human-like Mathematical Reasoning?

**Authors:** Runqi Qiao, Qiuna Tan, [Guanting Dong](https://md.research.elamur.ai/free/en/authors/guanting-dong/), Minhui Wu, Chong Sun, [Xiaoshuai Song](https://md.research.elamur.ai/free/en/authors/xiaoshuai-song/), Zhuoma GongQue, Shanglin Lei, Zhe Wei, Miaoxuan Zhang, Runfeng Qiao, [Yifan Zhang](https://md.research.elamur.ai/free/en/authors/yifan-zhang/), Xiao Zong, Yida Xu, Muxi Diao, Zhimin Bao, [Chen Li](https://md.research.elamur.ai/free/en/authors/chen-li/) and [Honggang Zhang](https://md.research.elamur.ai/free/en/authors/honggang-zhang/) · **Year:** 2024 · **Venue:** arXiv:2407.01284 · **Licence:** [arXiv — non-exclusive license to distribute](http://arxiv.org/licenses/nonexclusive-distrib/1.0/)

**Links:** [Publisher's page](https://arxiv.org/abs/2407.01284) · [PDF](https://arxiv.org/pdf/2407.01284) · [DOI 10.48550/arxiv.2407.01284](https://doi.org/10.48550/arxiv.2407.01284) · [arXiv 2407.01284](https://arxiv.org/abs/2407.01284) · [OpenAlex](https://openalex.org/W4400337724)

**Citations:** 0 citations (OpenAlex, 2026-10-14) · [65](https://md.research.elamur.ai/free/en/papers/qiao-2024-math-large-multimodal-model-achieve/cited-by/) in our library, of the 149,439 papers whose bibliographies we read

## Summary
Most benchmarks for visual math in large multimodal models (LMMs) only check whether the final answer is right. That hides how a model actually reasons. We-Math tries to fix this by grounding evaluation in textbook knowledge concepts. The authors built about 6.5K visual math problems, mostly elementary-level geometry, measurement and spatial tasks, organised into a 5-layer hierarchy covering 67 concepts. Expert annotators split roughly 1.5K multi-concept problems into one-step sub-problems. This lets the authors compare a model's success on the full problem with its success on each component. They then place each result in one of four diagnostic categories: IK, where the model lacks the needed knowledge; IG, where it handles the parts but fails to generalize to the whole; CM, where it fully masters both; and RM, where it solves the whole by rote while missing the parts. They also test a knowledge concept augmentation (KCA) strategy that adds concept descriptions to the prompt. The main findings are that accuracy drops as the number of required steps grows, and that IK is the dominant weakness of most models. GPT-4o is the exception: its main gap has moved from IK to IG. The benchmark matters because it shows when correct answers do not reflect genuine understanding.

## Key points
- **Dataset scale:** 6,524 newly collected questions and 6,307 images, arranged in a knowledge system of 99 nodes over 5 layers that includes 67 leaf concepts. Data and code are public at github.com/We-Math/We-Math.
- **Model comparison:** GPT-4o performs best overall. Closed models and large open ones such as LLaVA-NeXT-110B also do well. Fine-grained visual measurement ("Angles and Length") is the hardest category for most models.
- **IK and RM findings:** Small models such as LLaVA-1.6-7B and DeepSeek-VL-1.3B each show more than 350 IK cases. G-LLaVA-13B reaches about 36% RM under the loose metric, meaning it solves composite problems while failing their sub-problems.
- **KCA results:** KCA uses concept descriptions drawn from Wikipedia and textbooks. It reliably reduces IK across model sizes but barely changes IG.
- **GPT-4o error analysis:** Knowledge errors appear in more than 45 concepts. Visual errors cluster in a few concepts, such as protractor-based angle reading, and are absent from over 38 concepts. This points to the need for better fine-grained visual encoders.

*Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.*

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## Cite

Cite as: Runqi Qiao, Qiuna Tan, Guanting Dong, Minhui Wu, Chong Sun, Xiaoshuai Song, Zhuoma GongQue, Shanglin Lei, Zhe Wei, Miaoxuan Zhang, Runfeng Qiao, Yifan Zhang, Xiao Zong, Yida Xu, Muxi Diao, Zhimin Bao, Chen Li and Honggang Zhang. 2024. We-Math: Does Your Large Multimodal Model Achieve Human-like Mathematical Reasoning?. arXiv:2407.01284.

The paper itself, not this page. BibTeX from the library's record of the work.

```bibtex
@misc{qiao2024we,
  title = {{We-Math: Does Your Large Multimodal Model Achieve Human-like Mathematical Reasoning?}},
  author = {Runqi Qiao, Qiuna Tan, Guanting Dong, Minhui Wu, Chong Sun, Xiaoshuai Song, Zhuoma GongQue, Shanglin Lei, Zhe Wei, Miaoxuan Zhang, Runfeng Qiao, Yifan Zhang, Xiao Zong, Yida Xu, Muxi Diao, Zhimin Bao, Chen Li and Honggang Zhang},
  year = {2024},
  doi = {10.48550/arxiv.2407.01284},
  eprint = {2407.01284},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.48550/arxiv.2407.01284}
}
```

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100. Ziqi Huang, Yinan He, Jiashuo Yu, Fan Zhang, Chenyang Si, Yuming Jiang, Yuanhan Zhang, Tianxing Wu, Qingyang Jin, Nattapol Chanpaisit, Yaohui Wang, Xinyuan Chen, Limin Wang, Dahua Lin, Yu Qiao, and Ziwei Liu. Vbench: Comprehensive benchmark suite for video generative models, 2023. [find](https://scholar.google.com/scholar?q=Ziqi+Huang%2C+Yinan+He%2C+Jiashuo+Yu%2C+Fan+Zhang%2C+Chenyang+Si%2C+Yuming+Jiang%2C+Yuanhan+Zhang%2C+Tianxing+Wu%2C+Qingyang+Jin%2C+Nattapol+Chanpaisit%2C+Yaohui+Wang%2C+Xinyuan+Chen%2C+Limin+Wang%2C+Dahua+Lin%2C+Yu+Qiao%2C+and+Zi)
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102. Chenyu Wang, Weixin Luo, Qianyu Chen, Haonan Mai, Jindi Guo, Sixun Dong, Xiaohua, Xuan, Zhengxin Li, Lin Ma, and Shenghua Gao. Mllm-tool: A multimodal large language model for tool agent learning, 2024. [find](https://scholar.google.com/scholar?q=Chenyu+Wang%2C+Weixin+Luo%2C+Qianyu+Chen%2C+Haonan+Mai%2C+Jindi+Guo%2C+Sixun+Dong%2C+Xiaohua%2C+Xuan%2C+Zhengxin+Li%2C+Lin+Ma%2C+and+Shenghua+Gao%2E+Mllm%2Dtool%3A+A+multimodal+large+language+model+for+tool+agent+learning%2C+202)
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108. Kaining Ying, Fanqing Meng, Jin Wang, Zhiqian Li, Han Lin, Yue Yang, Hao Zhang, Wenbo Zhang, Yuqi Lin, Shuo Liu, Jiayi Lei, Quanfeng Lu, Runjian Chen, Peng Xu, Renrui Zhang, Haozhe Zhang, Peng Gao, Yali Wang, Yu Qiao, Ping Luo, Kaipeng Zhang, and Wenqi Shao. Mmt-bench: A comprehensive multimodal ben… [find](https://scholar.google.com/scholar?q=Kaining+Ying%2C+Fanqing+Meng%2C+Jin+Wang%2C+Zhiqian+Li%2C+Han+Lin%2C+Yue+Yang%2C+Hao+Zhang%2C+Wenbo+Zhang%2C+Yuqi+Lin%2C+Shuo+Liu%2C+Jiayi+Lei%2C+Quanfeng+Lu%2C+Runjian+Chen%2C+Peng+Xu%2C+Renrui+Zhang%2C+Haozhe+Zhang%2C+Peng+Gao%2C+Ya)
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*Updated 2 November 2026*
