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{
    "pk": 25444,
    "title": "Algebraic reasoning in 3- to 5-year-olds",
    "subtitle": null,
    "abstract": "The current study asks when children begin to understand that\nwhen an object is added to a set, the numerosity of the set has\nincreased regardless of set size. This knowledge can be\nexpressed algebraically as ‘x + 1 > x’. In Experiment 1, 3- to\n5-year-old children were asked to reason about\ntransformations (i.e., addition, subtraction, rearrangement)\nperformed on a visible set of objects. We found that 5-yearolds\nwere able to reason about how each transformation\naffected numerosity, and 4-year-olds showed limited\nunderstanding. In Experiment 2, children were asked to\nreason about transformations performed on a hidden set of\nobjects. Similar results were found. Together, we showed that\nthe ability to reason about number algebraically develops\ngradually between the ages of 3 and 5. Implications for\nnumber word acquisition were discussed",
    "language": "eng",
    "license": {
        "name": "",
        "short_name": "",
        "text": null,
        "url": ""
    },
    "keywords": [
        {
            "word": "algebraic reasoning"
        },
        {
            "word": "preschoolers"
        },
        {
            "word": "number\nconcept"
        },
        {
            "word": "numerical transformations"
        }
    ],
    "section": "Papers",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/8c5596p4",
    "frozenauthors": [
        {
            "first_name": "Pierina",
            "middle_name": "",
            "last_name": "Cheung",
            "name_suffix": "",
            "institution": "Department of Psychology, University of Waterloo",
            "department": ""
        },
        {
            "first_name": "Mathieu",
            "middle_name": "",
            "last_name": "Le Corre",
            "name_suffix": "",
            "institution": "Centro de Investigación Transdisciplinar en Psicologia, Universidad Autónoma del Estado de Morelos",
            "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/25444/galley/15068/download/"
        }
    ]
}