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{
    "pk": 25477,
    "title": "Implicit Understanding of Arithmetic with Rational Numbers:\nThe Impact of Expertise",
    "subtitle": null,
    "abstract": "Recent work has shown that undergraduates at a major public\nuniversity demonstrate implicit understanding of inverse\nrelations between multiplication problems with fractions, as\nevidenced by the fact that solving one problem facilitates\nsolving its inverse. The present study investigated whether\nsuch implicit understanding of mathematical relations is\nrelated to overall math ability. We found that low performers\nshowed relational facilitation only when it was supported by\nperceptual similarity, whereas high performers showed\nrelational facilitation on both perceptually similar and\ndissimilar problems. These findings are interpreted in terms\nof novice-expert differences in the representation of\nmathematical relations.",
    "language": "eng",
    "license": {
        "name": "",
        "short_name": "",
        "text": null,
        "url": ""
    },
    "keywords": [
        {
            "word": "mathematical reasoning"
        },
        {
            "word": "rational numbers"
        },
        {
            "word": "relational reasoning"
        },
        {
            "word": "expertise"
        }
    ],
    "section": "Papers",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/7h13w9h0",
    "frozenauthors": [
        {
            "first_name": "Melissa",
            "middle_name": "",
            "last_name": "deWolf",
            "name_suffix": "",
            "institution": "Department of Psychology, University of California, Los Angeles",
            "department": ""
        },
        {
            "first_name": "Ji",
            "middle_name": "Y",
            "last_name": "Son",
            "name_suffix": "",
            "institution": "Department of Psychology, University of California, Los Angeles",
            "department": ""
        },
        {
            "first_name": "Miriam",
            "middle_name": "",
            "last_name": "Bassok",
            "name_suffix": "",
            "institution": "Department of Psychology, University of Washington",
            "department": ""
        },
        {
            "first_name": "Keith",
            "middle_name": "J",
            "last_name": "Holyoak",
            "name_suffix": "",
            "institution": "Department of Psychology, University of California, Los Angeles",
            "department": ""
        }
    ],
    "date_submitted": null,
    "date_accepted": null,
    "date_published": "2015-01-01T18:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "PDF",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/25477/galley/15101/download/"
        }
    ]
}