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{ "pk": 31738, "title": "Using Case-based Reasoning and Situated Activity to Write Geometry Proofs", "subtitle": null, "abstract": "As models of human cognition, previous geometry\ntheorem-proving programs were inappropriately\ninfluenced by the ease with which computers\nmanipulate syntactic formulae. The failure of\nthose programs to pay attention to h u m a n\nperception d o o m e d them as models of h o w\nhumans solve geometry proof problems. Just as\nthe study of theorem-proving once evolved into\nthe study of planning, it is time n o w for theorem-\nproving to incorporate current ideas in the\nplanning community. A close examination of\nwhat h u m a n s do w h e n they try to solve\ngeometry proof problems, and of h o w geometry is\ntaught, reveals an emphasis on chunks of\nproblem-solving knowledge derived from\nexamples, retrieved on the basis of visual cues.\nThese ideas are characteristic of the case-based\nreasoning and situated activity approaches in\nplanning. This paper concludes with a brief\ndescription and trace of a computer program,\nPOLYA , which does reactive, memory-based\ngeometry theorem-proving.", "language": "eng", "license": { "name": "", "short_name": "", "text": null, "url": "" }, "keywords": [], "section": "Submitted Presentations", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/5cb7t3sc", "frozenauthors": [ { "first_name": "Thomas", "middle_name": "F.", "last_name": "McDougal", "name_suffix": "", "institution": "University of Chicago", "department": "" } ], "date_submitted": null, "date_accepted": null, "date_published": "1993-01-01T18:00:00Z", "render_galley": null, "galleys": [ { "label": "PDF", "type": "pdf", "path": "https://journalpub.escholarship.org/cognitivesciencesociety/article/31738/galley/22806/download/" } ] }