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--- |
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license: odc-by |
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language: |
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- en |
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tags: |
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- education |
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- math |
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size_categories: |
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- n<1K |
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--- |
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# Dataset Card for Achieve the Core |
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<!-- Provide a quick summary of the dataset. --> |
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This repository includes Common Core math standards, their descriptions, and metadata obtained from [Achieve the Core](https://github.com/achievethecore/atc-coherence-map/). |
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Example of a math standard: |
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``` |
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{ |
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"id": "K.CC.B.4", |
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"description": "Understand the relationship between numbers and quantities; connect counting to cardinality.", |
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"source": "Achieve the Core", |
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"level": "Standard", |
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"cluster_type": "major cluster", |
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"aspects": [], |
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"parent": "K.CC.B", |
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"children": ["K.CC.B.4c", "K.CC.B.4b", "K.CC.B.4a"], |
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"connections": {"progress to": ["1.OA.C.5", "K.CC.B.5"], "progress from": [], "related": ["K.CC.A.2", "K.CC.C.6", "K.CC.A.1"]}, |
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"modeling": false |
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} |
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``` |
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See [MathFish](https://huggingface.co/datasets/allenai/mathfish) for more details on uses of this data. |
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This data can be used to evaluate language models' abilities to assess whether math problems enable students to learn specific skills/concepts. Code to support this can be found in this [Github repository](https://github.com/allenai/mathfish/tree/main). |
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## Dataset Details |
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### Dataset Description |
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<!-- Provide a longer summary of what this dataset is. --> |
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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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### Dataset Sources |
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<!-- Provide the basic links for the dataset. --> |
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- **Repository:** [Achieve the Core's Github](https://github.com/achievethecore/atc-coherence-map/) |
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- **Website:** [Achieve the Core's Coherence Map](https://tools.achievethecore.org/coherence-map/) |
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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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This repository includes two key files: `domain_groups.json` and `standards.jsonl`. |
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We created `domain_groups.json` because the "domains" we evaluate with for our tagging task do not have a one-to-one mapping to K-8 domains and high school (HS) categories in Common Core State Standards (CCSS). Some HS categories are equivalent or similar to a domain in K-8, and some differences in K-8 domains are difficult to explain a brief description at the domain-level. Thus, a "domain" in our paper sometimes groups multiple actual CCSS domains/categories. We mostly retain the original CCSS K-8 domains and HS categories, but make exceptions for the following: we group OA (Operations & Algebraic Thinking), EE (Expressions & Equations), and A (HS Algebra) into Operations & Algebra, S (HS Statistics & Probability) and SP (K-8 Statistics & Probability) to \textit{Statistics & Probability}, and finally NS (K-8 The Number System) and N (HS Number and Quantity) to Number Systems and Quantity. Since CCSS and Achieve the Core do not provide brief descriptions of domains, we worked with a curriculum specialist to write domains' descriptions. |
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Within `standards.jsonl`, each line is a standard, sub-standard, cluster, domain, or grade level: |
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``` |
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{ |
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id: '', # e.g. 'K.OA.A.1' |
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description: 'description of standard from achieve the core', |
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source: 'Achieve the Core', |
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level: '', # one of Grade, HS Category, Domain, Cluster, Standard, Sub-standard |
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cluster_type: '', # e.g. major cluster, additional cluster, minor cluster |
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aspects: [], # a list containing items such as "Application", "conceptual understanding", "Procedural Skill and Fluency" |
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parent: '', |
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children: [], |
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connections: {''progress to': [], 'progress from': [], 'related': []} # standard-level Achieve the Core connections |
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modeling: # True or False depending on whether the standard is a "modeling" standard |
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} |
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``` |
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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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``` |
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@misc{lucy2024evaluatinglanguagemodelmath, |
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title={Evaluating Language Model Math Reasoning via Grounding in Educational Curricula}, |
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author={Li Lucy and Tal August and Rose E. Wang and Luca Soldaini and Courtney Allison and Kyle Lo}, |
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year={2024}, |
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eprint={2408.04226}, |
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archivePrefix={arXiv}, |
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primaryClass={cs.CL}, |
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url={https://arxiv.org/abs/2408.04226}, |
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} |
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``` |
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## Dataset Card Contact |
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kylel@allenai.org |
