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README.md
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<!-- Provide a quick summary of the dataset. -->
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Additional components of MathFish can be found at:
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- [allenai/achieve-the-core](https://huggingface.co/datasets/allenai/achieve-the-core): mathematical standards and their descriptions
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- [allenai/mathfish_tasks](https://huggingface.co/datasets/allenai/mathfish_tasks): dev set problems inserted into verification and tagging prompts for language models
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<!-- Provide a longer summary of what this dataset is. -->
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- **Funded by [optional]:** [More Information Needed]
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- **Shared by [optional]:** [More Information Needed]
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- **Language(s) (NLP):** [More Information Needed]
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- **License:** [More Information Needed]
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### Dataset Sources [optional]
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- **Demo [optional]:** [More Information Needed]
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## Uses
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<!-- This section describes suitable use cases for the dataset. -->
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### Out-of-Scope Use
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<!-- This section addresses misuse, malicious use, and uses that the dataset will not work well for. -->
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[More Information Needed]
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## Dataset Structure
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<!-- This section provides a description of the dataset fields, and additional information about the dataset structure such as criteria used to create the splits, relationships between data points, etc. -->
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## Dataset Creation
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<!-- Motivation for the creation of this dataset. -->
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### Source Data
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<!-- This section describes the source data (e.g. news text and headlines, social media posts, translated sentences, ...). -->
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#### Data Collection and Processing
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<!-- This section describes the data collection and processing process such as data selection criteria, filtering and normalization methods, tools and libraries used, etc. -->
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#### Who are the source data producers?
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<!-- This section describes the people or systems who originally created the data. It should also include self-reported demographic or identity information for the source data creators if this information is available. -->
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### Annotations [optional]
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<!-- If the dataset contains annotations which are not part of the initial data collection, use this section to describe them. -->
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#### Annotation process
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<!-- This section describes the annotation process such as annotation tools used in the process, the amount of data annotated, annotation guidelines provided to the annotators, interannotator statistics, annotation validation, etc. -->
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[More Information Needed]
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#### Who are the annotators?
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<!-- This section describes the people or systems who created the annotations. -->
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[More Information Needed]
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#### Personal and Sensitive Information
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<!-- State whether the dataset contains data that might be considered personal, sensitive, or private (e.g., data that reveals addresses, uniquely identifiable names or aliases, racial or ethnic origins, sexual orientations, religious beliefs, political opinions, financial or health data, etc.). If efforts were made to anonymize the data, describe the anonymization process. -->
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[More Information Needed]
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## Bias, Risks, and Limitations
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<!-- This section is meant to convey both technical and sociotechnical limitations. -->
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### Recommendations
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<!-- This section is meant to convey recommendations with respect to the bias, risk, and technical limitations. -->
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## Citation
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<!-- If there is a paper or blog post introducing the dataset, the APA and Bibtex information for that should go in this section. -->
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[More Information Needed]
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**APA:**
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## Glossary [optional]
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<!-- If relevant, include terms and calculations in this section that can help readers understand the dataset or dataset card. -->
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[More Information Needed]
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## More Information [optional]
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## Dataset Card Authors [optional]
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[More Information Needed]
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## Dataset Card Contact
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<!-- Provide a quick summary of the dataset. -->
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This dataset is introduced by "Evaluating Language Model Math Reasoning via Grounding in Educational Curricula" (link TBD), and includes problems drawn from two open educational resources (OER): Illustrative Mathematics and Fishtank Learning. Problems are labeled with *mathematical standards*, which are K-12 skills and concepts that problems enable students to learn. These standards are defined and organized by Common Core State Standards.
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Additional components of MathFish can be found at:
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- [allenai/achieve-the-core](https://huggingface.co/datasets/allenai/achieve-the-core): mathematical standards and their descriptions
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- [allenai/mathfish_tasks](https://huggingface.co/datasets/allenai/mathfish_tasks): dev set problems inserted into verification and tagging prompts for language models
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<!-- Provide a longer summary of what this dataset is. -->
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Common Core State Standards (CCSS) offer fine-grained and comprehensive coverage of K-12 math skills/concepts. We scrape labeled problems from two reputable OER that span a wide range of grade levels and standards: [Illustrative Mathematics](https://illustrativemathematics.org/) and [Fishtank Learning](https://fishtanklearning.org/). Each problem is a segment of these materials demarcated by standards labels, and a problem may be labeled with multiple standards.
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- **Curated by:** Lucy Li, Tal August, Rose E Wang, Luca Soldaini, Courtney Allison, Kyle Lo
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- **Funded by:** The Gates Foundation
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- **Language(s) (NLP):** English
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- **License:** ODC-By 1.0
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## Uses
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<!-- This section describes suitable use cases for the dataset. -->
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This dataset was originally created to evaluate models' abilities to identify math skills and concepts using publisher-labeled data pulled from curricular websites. This data can support investigations into the use of language models to support K-12 education.
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### Out-of-Scope Use
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<!-- This section addresses misuse, malicious use, and uses that the dataset will not work well for. -->
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## Dataset Structure
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<!-- This section provides a description of the dataset fields, and additional information about the dataset structure such as criteria used to create the splits, relationships between data points, etc. -->
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Each `*.jsonl` file contains one problem or activity per line:
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```
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{
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id: '', # this is global
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text: ‘string representing activity or problem’,
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metadata: { source id, unit, lesson, other location data , url if possible, html version}, # this is source-specific
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acquisition_date: '', # YYYY-MM-DD
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elements: {identifier : path to image files or html of element}, # html elements, e.g. table, img, figure interweaved with text
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standards: [list of (relation, standard)], # relation could be addressing, alignment, building towards, etc
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source: '',
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}
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```
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Note: Among standard relation types, `Addressing` == `Alignment`, and we evaluate on these in our paper. Future work may investigate other types of relations between problems and math skills/concepts.
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## Dataset Creation
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<!-- Motivation for the creation of this dataset. -->
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Math standards are informed by human learning progressions, and commonly used in real-world reviews of math content. In education, materials have focused alignment with a standard if they enable students to learn the full intent of concepts/skills described by that standard. Identifying alignment can thus inform educators whether a set of materials adequately targets core learning goals for students.
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#### Data Collection and Processing
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<!-- This section describes the data collection and processing process such as data selection criteria, filtering and normalization methods, tools and libraries used, etc. -->
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We pull problems from several parts of Illustrative Mathematics curriculum: tasks, centers, practice problems, lessons, and modeling prompts. For Fishtank learning, we pull problems from the lessons section of their website. What is considered a "lesson" and what is considered a "problem" or "task" is an artifact of the materials themselves. Some problems are hands-on group activities, while others are assessment-type problems.
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#### Who are the source data producers?
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<!-- This section describes the people or systems who originally created the data. It should also include self-reported demographic or identity information for the source data creators if this information is available. -->
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Illustrative Mathematics and Fishtank Learning are a nonprofit educational organizations in the United States.
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## Bias, Risks, and Limitations
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<!-- This section is meant to convey both technical and sociotechnical limitations. -->
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Though these problems offer substantial coverage of a common K-12 curriculum in the United States, they may not directly translate to pedagogical standards or practices in other socio-cultural contexts.
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### Recommendations
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<!-- This section is meant to convey recommendations with respect to the bias, risk, and technical limitations. -->
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Though language models have the potential to automate the task of identifying standards alignment in curriculum or improve educational instruction, their rule in education should be a supporting, rather than leading, one. To design such tools, we believe that it is best to co-create with teachers and curriculum specialists.
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## Citation
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<!-- If there is a paper or blog post introducing the dataset, the APA and Bibtex information for that should go in this section. -->
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BibTeX TBD
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## Dataset Card Contact
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