Article Instance

HTTP 200 OK
Allow: GET
Content-Type: application/json
Vary: Accept

{
    "pk": 26895,
    "title": "Principles Used to Evaluate Mathematical Explanations",
    "subtitle": null,
    "abstract": "Mathematics is critical for making sense of the world. Yet,little is known about how people evaluate mathematicalexplanations. Here, we use an explanatory reasoning taskto investigate the intuitive structure of mathematics. Weshow that people evaluate arithmetic explanations bybuilding mental proofs over the conceptual structure ofintuitive arithmetic, evaluating those proofs using criteriasimilar to those of professional mathematicians.Specifically, we find that people prefer explanationsconsistent with the conceptual order of the operations(“9÷3=3 because 3 ́3=9” rather than “3 ́3=9 because9÷3=3”), and corresponding to simpler proofs (“9÷3=3because 3 ́3=9” rather than “9÷3=3 because 3+3+3=9”).Implications for mathematics cognition and education arediscussed.",
    "language": "eng",
    "license": {
        "name": "",
        "short_name": "",
        "text": null,
        "url": ""
    },
    "keywords": [
        {
            "word": "Mathematics cognition; philosophy ofmathematics; explanation; reasoning; concepts andcategories."
        }
    ],
    "section": "Talks: Papers",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/96c0200k",
    "frozenauthors": [
        {
            "first_name": "Samuel",
            "middle_name": "G. B.",
            "last_name": "Johnson",
            "name_suffix": "",
            "institution": "Yale University",
            "department": ""
        },
        {
            "first_name": "Angie",
            "middle_name": "M.",
            "last_name": "Johnston",
            "name_suffix": "",
            "institution": "Yale University",
            "department": ""
        },
        {
            "first_name": "Marissa",
            "middle_name": "L.",
            "last_name": "Koven",
            "name_suffix": "",
            "institution": "Emory University",
            "department": ""
        },
        {
            "first_name": "Frank",
            "middle_name": "C.",
            "last_name": "Keil",
            "name_suffix": "",
            "institution": "Yale University",
            "department": ""
        }
    ],
    "date_submitted": null,
    "date_accepted": null,
    "date_published": "2017-01-01T18:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "PDF",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/26895/galley/16531/download/"
        }
    ]
}