{"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/"}]}