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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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+
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+ # Dataset Card for Achieve the Core
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+
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+ <!-- Provide a quick summary of the dataset. -->
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+
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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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+
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+ Example of a math standard:
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+
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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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+
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+ See [MathFish](https://huggingface.co/datasets/allenai/mathfish) for more details on uses of this data.
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+
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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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+
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+ ## Dataset Details
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+
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+ ### Dataset Description
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+
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+ <!-- Provide a longer summary of what this dataset is. -->
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+
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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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+
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+ ### Dataset Sources
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+
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+ <!-- Provide the basic links for the dataset. -->
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+
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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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+
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+
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+ ## Dataset Structure
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+
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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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+
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+ This repository includes two key files: `domain_groups.json` and `standards.jsonl`.
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+
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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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+
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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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+ {
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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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+
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+ ## Citation
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+
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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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+ BibTeX TBD
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+
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+ ## Dataset Card Contact
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+
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