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{
    "pk": 50144,
    "title": "Studying Mathematical Reasoning through the Gadget Game",
    "subtitle": null,
    "abstract": "Mathematicians regularly come up with multi-step solutions to difficult problems, formulating intermediate statements and subgoals, deciding which ones to attempt to prove, and judging when to start, stop, or come back to a question. What drives these and similar cognitive processes? Studying mathematical reasoning is challenging, in part because of a lack of engaging yet controlled environments in which to do so. We introduce a new game -- the Gadget Game -- for this purpose. Each level in the Gadget Game can be an encoding of a provable mathematical statement, together with hypotheses and deduction rules, that obscures the semantic content of the original problem. The resulting puzzles are enjoyable to play. We conduct a series of preliminary experiments involving a web-based crowdsourced experiment and a \"think aloud\"' deep-dive with two experienced mathematicians. We believe that the Gadget Game is a ripe domain for interesting cognitive science that engages deeply with mathematical thought.",
    "language": "eng",
    "license": {
        "name": "",
        "short_name": "",
        "text": null,
        "url": ""
    },
    "keywords": [
        {
            "word": "Psychology; Problem Solving; Reasoning; Representation; Case studies; Mathematical modeling"
        }
    ],
    "section": "Abstracts with Poster Presentation (accepted as Abstracts)",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/823177z7",
    "frozenauthors": [
        {
            "first_name": "Jonas",
            "middle_name": "",
            "last_name": "Bayer",
            "name_suffix": "",
            "institution": "University of Cambridge",
            "department": ""
        },
        {
            "first_name": "Jacob",
            "middle_name": "",
            "last_name": "Loader",
            "name_suffix": "",
            "institution": "University of Cambridge",
            "department": ""
        },
        {
            "first_name": "Katherine",
            "middle_name": "M",
            "last_name": "Collins",
            "name_suffix": "",
            "institution": "MIT",
            "department": ""
        },
        {
            "first_name": "Simon",
            "middle_name": "",
            "last_name": "Frieder",
            "name_suffix": "",
            "institution": "University of Oxford",
            "department": ""
        },
        {
            "first_name": "Adrian",
            "middle_name": "",
            "last_name": "Weller",
            "name_suffix": "",
            "institution": "University of Cambridge",
            "department": ""
        },
        {
            "first_name": "Joshua",
            "middle_name": "B.",
            "last_name": "Tenenbaum",
            "name_suffix": "",
            "institution": "MIT",
            "department": ""
        },
        {
            "first_name": "Timothy",
            "middle_name": "",
            "last_name": "Gowers",
            "name_suffix": "",
            "institution": "University of Cambridge",
            "department": ""
        }
    ],
    "date_submitted": null,
    "date_accepted": null,
    "date_published": "2025-01-01T15:00:00-03:00",
    "render_galley": null,
    "galleys": [
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            "label": "PDF",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/50144/galley/38106/download/"
        }
    ]
}