{
  "id": "math.fractions.add-whole-to-numerator",
  "uri": "https://open-misconceptions.github.io/miscon-data/m/math.fractions.add-whole-to-numerator",
  "uuid": "692fc169-3842-429b-bf5a-36be6eb6e910",
  "version": "0.1.1",
  "status": "draft",
  "trust": "low",
  "title": "Adding a whole number to the numerator",
  "statement": "To add a whole number and a fraction you add the whole number to the numerator.",
  "kind": "procedural-bug",
  "domain": "math.fractions",
  "about": [
    {
      "scheme": "CCSS",
      "code": "4.NF.B.3",
      "uri": "http://corestandards.org/Math/Content/4/NF/B/3/"
    }
  ],
  "level_band": [
    "primary",
    "middle"
  ],
  "locale": "en",
  "evidence_patterns": [
    {
      "item_shape": "add a whole number and a proper fraction",
      "signature": "adds the whole number to the numerator and keeps the denominator",
      "example": {
        "item": "2 + 1/3 = ?",
        "expected": "2 1/3 (= 7/3)",
        "response": "3/3 (= 1)"
      }
    }
  ],
  "discriminators": {
    "vs_slip": "The result is smaller than the whole-number addend and the learner accepts it, consistently. A slip is not repeated across items.",
    "vs": {
      "math.fractions.mixed-to-improper-add-all": "That bug adds all three numbers when converting a mixed number; this one appears when a whole number and fraction are added with a plus sign."
    }
  },
  "relations": {
    "conflicts_with": [
      {
        "external": "http://corestandards.org/Math/Content/4/NF/B/3/",
        "label": "CCSS 4.NF.B.3: understand a fraction a/b with a > 1 as a sum of fractions 1/b"
      }
    ],
    "resolved_by": [
      {
        "external": "http://corestandards.org/Math/Content/4/NF/B/3/",
        "label": "CCSS 4.NF.B.3: understand a fraction a/b with a > 1 as a sum of fractions 1/b"
      }
    ],
    "confusable_with": [
      "math.fractions.mixed-to-improper-add-all"
    ]
  },
  "alignments": [
    {
      "scheme": "CCSS",
      "code": "4.NF.B.3",
      "uri": "http://corestandards.org/Math/Content/4/NF/B/3/",
      "relation": "about"
    }
  ],
  "provenance": {
    "sources": [
      {
        "type": "book",
        "citation": "Ashlock, R. B. (2010). Error Patterns in Computation: Using Error Patterns to Help Each Student Learn (10th ed.). Allyn & Bacon."
      },
      {
        "type": "book",
        "citation": "Kerslake, D. (1986). Fractions: Children's Strategies and Errors. NFER-Nelson."
      },
      {
        "type": "paper",
        "citation": "Braithwaite, D. W., Pyke, A. A., & Siegler, R. S. (2017). A computational model of fraction arithmetic. Psychological Review, 124(5), 603-625.",
        "doi": "10.1037/rev0000072"
      }
    ],
    "origin": "llm-drafted",
    "notes": "Drafted from the cited literature for the Open Misconceptions seed pack; statement, examples and discriminators are original text. Awaiting maintainer review."
  },
  "history": {
    "changelog": [
      {
        "version": "0.1.1",
        "date": "2026-09-05",
        "change": "Schema 0.2 migration: about/alignments carry a free-string scheme (corestandards.org URLs relabelled CCSS where present); trust computed from reviews[] (none yet, so low); no change to the statement or evidence."
      }
    ]
  },
  "license": "CC-BY-4.0"
}