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| 1 |
+
---
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| 2 |
+
license: cc-by-4.0
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| 3 |
+
task_categories:
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| 4 |
+
- visual-question-answering
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| 5 |
+
- image-classification
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| 6 |
+
- text-generation
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| 7 |
+
language:
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| 8 |
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- zh
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| 9 |
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tags:
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| 10 |
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- education
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| 11 |
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- math
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| 12 |
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- error-analysis
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| 13 |
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- handwritten
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| 14 |
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- multimodal
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| 15 |
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- scratchwork
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pretty_name: ScratchMath
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| 17 |
+
size_categories:
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| 18 |
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- 1K<n<10K
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| 19 |
+
configs:
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| 20 |
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- config_name: primary
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data_files: "primary/data-*.parquet"
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| 22 |
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- config_name: middle
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data_files: "middle/data-*.parquet"
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| 24 |
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dataset_info:
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| 25 |
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- config_name: primary
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| 26 |
+
features:
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| 27 |
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- name: question_id
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| 28 |
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dtype: string
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| 29 |
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- name: question
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| 30 |
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dtype: string
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| 31 |
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- name: answer
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| 32 |
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dtype: string
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| 33 |
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- name: solution
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| 34 |
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dtype: string
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| 35 |
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- name: student_answer
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| 36 |
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dtype: string
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| 37 |
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- name: student_scratchwork
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| 38 |
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dtype: image
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| 39 |
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- name: error_category
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| 40 |
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dtype:
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| 41 |
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class_label:
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| 42 |
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names:
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| 43 |
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0: 计算错误
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| 44 |
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1: 题目理解错误
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| 45 |
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2: 知识点错误
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| 46 |
+
3: 答题技巧错误
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| 47 |
+
4: 手写誊抄错误
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| 48 |
+
5: 逻辑推理错误
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| 49 |
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6: 注意力与细节错误
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| 50 |
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- name: error_explanation
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| 51 |
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dtype: string
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| 52 |
+
splits:
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| 53 |
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- name: train
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| 54 |
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num_examples: 1479
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| 55 |
+
- config_name: middle
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| 56 |
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features:
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| 57 |
+
- name: question_id
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| 58 |
+
dtype: string
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| 59 |
+
- name: question
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| 60 |
+
dtype: string
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| 61 |
+
- name: answer
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| 62 |
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dtype: string
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| 63 |
+
- name: solution
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| 64 |
+
dtype: string
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| 65 |
+
- name: student_answer
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| 66 |
+
dtype: string
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| 67 |
+
- name: student_scratchwork
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| 68 |
+
dtype: image
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| 69 |
+
- name: error_category
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| 70 |
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dtype:
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| 71 |
+
class_label:
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| 72 |
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names:
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| 73 |
+
0: 计算错误
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| 74 |
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1: 题目理解错误
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| 75 |
+
2: 知识点错误
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| 76 |
+
3: 答题技巧错误
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| 77 |
+
4: 手写誊抄错误
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| 78 |
+
5: 逻辑推理错误
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| 79 |
+
6: 注意力与细节错误
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| 80 |
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- name: error_explanation
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| 81 |
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dtype: string
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| 82 |
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splits:
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| 83 |
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- name: train
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| 84 |
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num_examples: 241
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| 85 |
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---
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| 86 |
+
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| 87 |
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# ScratchMath
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| 88 |
+
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| 89 |
+
**ScratchMath** is a multimodal benchmark dataset for evaluating the ability of Multimodal Large Language Models (MLLMs) to analyze handwritten mathematical scratchwork produced by real students. Unlike existing math benchmarks that focus on problem-solving accuracy, ScratchMath targets **error diagnosis** — identifying what type of mistake a student made and explaining why.
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| 90 |
+
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| 91 |
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## Dataset Description
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| 92 |
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| 93 |
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The dataset contains 1,720 samples of authentic student scratchwork collected from an online education platform. Each sample includes:
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| 94 |
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| 95 |
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- A math problem with its correct answer and solution
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| 96 |
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- The student's incorrect answer
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| 97 |
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- A photograph of the student's handwritten scratchwork
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| 98 |
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- A human-annotated error category and detailed error explanation
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| 99 |
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| 100 |
+
### Subsets
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| 101 |
+
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| 102 |
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| Subset | Description | Samples |
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| 103 |
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|--------|-------------|---------|
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| 104 |
+
| `primary` | Primary school (Grades 1–6) math problems | 1,479 |
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| 105 |
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| `middle` | Middle school (Grades 7–9) math problems | 241 |
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| 106 |
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| 107 |
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### Error Categories
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| 108 |
+
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| 109 |
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Each sample is labeled with one of seven error categories:
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| 110 |
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| 111 |
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| Category | English | Primary | Middle |
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| 112 |
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|----------|---------|---------|--------|
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| 113 |
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| 计算错误 | Calculation Error | 453 | 113 |
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| 114 |
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| 题目理解错误 | Question Comprehension Error | 499 | 20 |
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| 115 |
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| 知识点错误 | Knowledge Gap Error | 174 | 45 |
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| 116 |
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| 答题技巧错误 | Problem-Solving Strategy Error | 118 | 17 |
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| 117 |
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| 手写誊抄错误 | Handwriting Transcription Error | 95 | 29 |
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| 118 |
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| 逻辑推理错误 | Logical Reasoning Error | 73 | 2 |
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| 119 |
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| 注意力与细节错误 | Attention & Detail Error | 67 | 15 |
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| 120 |
+
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| 121 |
+
## Fields
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| 122 |
+
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| 123 |
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| Field | Type | Description |
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| 124 |
+
|-------|------|-------------|
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| 125 |
+
| `question_id` | string | Unique identifier for the math problem |
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| 126 |
+
| `question` | string | The math problem text (may contain LaTeX in `$...$` delimiters) |
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| 127 |
+
| `answer` | string | The correct answer(s) |
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| 128 |
+
| `solution` | string | Step-by-step solution with explanation |
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| 129 |
+
| `student_answer` | string | The student's incorrect answer |
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| 130 |
+
| `student_scratchwork` | image | Photograph of the student's handwritten work |
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| 131 |
+
| `error_category` | ClassLabel | One of 7 error types (see above) |
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| 132 |
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| `error_explanation` | string | Detailed explanation of what error the student made and why |
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| 133 |
+
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| 134 |
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## Usage
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| 135 |
+
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| 136 |
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```python
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| 137 |
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from datasets import load_dataset
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| 138 |
+
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| 139 |
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# Load primary school subset
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| 140 |
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ds_primary = load_dataset("songdj/ScratchMath", "primary")
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| 141 |
+
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| 142 |
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# Load middle school subset
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| 143 |
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ds_middle = load_dataset("songdj/ScratchMath", "middle")
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| 144 |
+
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| 145 |
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# Access a sample
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| 146 |
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sample = ds_primary["train"][0]
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| 147 |
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print(sample["question"])
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| 148 |
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print(sample["error_category"])
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| 149 |
+
sample["student_scratchwork"].show() # Display the scratchwork image
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| 150 |
+
```
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| 151 |
+
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| 152 |
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## Citation
|
| 153 |
+
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| 154 |
+
If you use this dataset, please cite:
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| 155 |
+
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| 156 |
+
```bibtex
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| 157 |
+
@inproceedings{song2026scratchmath,
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| 158 |
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title={Can MLLMs Read Students' Minds? Unpacking Multimodal Error Analysis in Handwritten Math},
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| 159 |
+
author={Song, Dingjie and Xu, Tianlong and Zhang, Yi-Fan and Li, Hang and Yan, Zhiling and Fan, Xing and Li, Haoyang and Sun, Lichao and Wen, Qingsong},
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| 160 |
+
booktitle={Proceedings of the 27th International Conference on Artificial Intelligence in Education (AIED)},
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| 161 |
+
year={2026}
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| 162 |
+
}
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| 163 |
+
```
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| 164 |
+
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| 165 |
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## License
|
| 166 |
+
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| 167 |
+
This dataset is released under the [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/) license.
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