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{ "pk": 28201, "title": "Visual Flexibility in Arithmetic Expressions", "subtitle": null, "abstract": "We investigated whether, and in what, ways people use visual\nstructures to evaluate mathematical expressions. We also\nexplored the relationship between strategy use and other\ncommon measures in mathematics education. Participants\norganized long sum/products when visual structure was\navailable in algebraic expressions. Two experiments showed a\nsimilar pattern: One group of participants primarily calculated\nfrom left to right, or combined identical numbers together. A\nsecond group calculated adjacent pairs. A third group tended\nto group terms which either produced easy sums (e.g., 6+4),\nor participated in a global structure. These different strategies\nwere associated with different levels of success on the task,\nand, in Experiment 2, with differential math anxiety and\nmathematical skill. Specifically, problem solvers with lower\nmath anxiety and higher math ability tend to group by chunks\nand easy calculation. These results identify an important role\nfor the perception of coherent structure and pattern\nidentification in mathematical reasoning.", "language": "eng", "license": { "name": "", "short_name": "", "text": null, "url": "" }, "keywords": [ { "word": "numerical cognition; mathematical cognition;\ncognitive psychology; educational psychology" } ], "section": "Publication-based-Talks", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/4gd555q3", "frozenauthors": [ { "first_name": "Jingqi", "middle_name": "", "last_name": "Yu", "name_suffix": "", "institution": "Indiana University Bloomington", "department": "" }, { "first_name": "David", "middle_name": "", "last_name": "Landy", "name_suffix": "", "institution": "Indiana University Bloomington", "department": "" }, { "first_name": "Robert", "middle_name": "L", "last_name": "Goldstone", "name_suffix": "", "institution": "Indiana University Bloomington", "department": "" } ], "date_submitted": null, "date_accepted": null, "date_published": "2018-01-01T18:00:00Z", "render_galley": null, "galleys": [ { "label": "PDF", "type": "pdf", "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/28201/galley/17860/download/" } ] }