{"pk":31803,"title":"A Cognitive Taxonomy of Numeration Systems","subtitle":null,"abstract":"In this paper, we study the representational\nproperties of numeration systems. W e argue that\nnumeration systems are distributed representa-\ntions—representations that are distributed\nacross the internal mind and the external envi-\nronment. W e analyze number representations at\nfour levels: dimensionality, dimensional repre-\nsentations, bases, and symbol representations.\nThe representational properties at these four\nlevels determine the representational efficien-\ncies of numeration systems and the performance\nof numeric tasks. From this hierarchical struc-\nture, we derive a cognitive taxonomy that can\nclassify most numeration systems.","language":"eng","license":{"name":"","short_name":"","text":null,"url":""},"keywords":[],"section":"Submitted Presentations","is_remote":true,"remote_url":"https://escholarship.org/uc/item/0z0267h3","frozenauthors":[{"first_name":"Jiajie","middle_name":"","last_name":"Zhang","name_suffix":"","institution":"The Ohio State University","department":""},{"first_name":"Donald.","middle_name":"A .","last_name":"Norman","name_suffix":"","institution":"Apple Computer, Inc","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/31803/galley/22871/download/"}]}