{"id":"https://openalex.org/W2767567303","doi":null,"title":"How Space Guides Interpretation of a Novel Mathematical System","display_name":"How Space Guides Interpretation of a Novel Mathematical System","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2767567303","mag":"2767567303"},"language":"en","primary_location":{"id":"pmh:oai:escholarship.org/ark:/13030/qt0mf7h9fz","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/0mf7h9fz","pdf_url":"https://escholarship.org/uc/item/0mf7h9fz","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Annual Meeting of the Cognitive Science Society, vol 29, iss 29","raw_type":"article"},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/uc/item/0mf7h9fz","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078074153","display_name":"David H. Landy","orcid":"https://orcid.org/0000-0003-2212-6379","observed_orcids":["https://orcid.org/0000-0003-2212-6379","https://orcid.org/0000-0002-4024-7679"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Landy","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2212-6379","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029222386","display_name":"Robert L. Goldstone","orcid":"https://orcid.org/0000-0001-8357-8358","observed_orcids":["https://orcid.org/0000-0001-8357-8358","https://orcid.org/0009-0000-6238-4386"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert L. Goldstone","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8357-8358","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.3831412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"29","issue":"29","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.7484999895095825,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.7484999895095825,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12694","display_name":"Categorization, perception, and language","score":0.044599998742341995,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11516","display_name":"Visual and Cognitive Learning Processes","score":0.03750000149011612,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/order-of-operations","display_name":"order of operations","score":0.8259999752044678},{"id":"https://openalex.org/keywords/spatial-cues","display_name":"spatial cues","score":0.5360000133514404},{"id":"https://openalex.org/keywords/perceptual-cues","display_name":"perceptual cues","score":0.5529999732971191},{"id":"https://openalex.org/keywords/mathematical-reasoning","display_name":"mathematical reasoning","score":0.3659999966621399},{"id":"https://openalex.org/keywords/formal-knowledge","display_name":"formal knowledge","score":0.4300000071525574},{"id":"https://openalex.org/keywords/perceptual-integration","display_name":"perceptual integration","score":0.33899998664855957}],"concepts":[{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5774546265602112},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.513992965221405},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4884399473667145},{"id":"https://openalex.org/C26760741","wikidata":"https://www.wikidata.org/wiki/Q160402","display_name":"Perception","level":2,"score":0.4586517810821533},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4131050705909729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41177576780319214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4104096293449402},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.3534330129623413},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3475983142852783},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.33264315128326416},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.28117501735687256},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.27044808864593506},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.1919950544834137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:escholarship.org/ark:/13030/qt0mf7h9fz","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/0mf7h9fz","pdf_url":"https://escholarship.org/uc/item/0mf7h9fz","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Annual Meeting of the Cognitive Science Society, vol 29, iss 29","raw_type":"article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.619.8232","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.619.8232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://csjarchive.cogsci.rpi.edu/proceedings/2007/docs/p431.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.650.1136","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.650.1136","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cognitrn.psych.indiana.edu/rgoldsto/pdfs/space07.pdf","raw_type":"text"},{"id":"pmh:qt0mf7h9fz","doi":null,"is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/0mf7h9fz","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Landy, David; &amp; Goldstone, Robert L.(2007). How Space Guides Interpretation of a Novel Mathematical System. Proceedings of the Cognitive Science Society, 29(29). Retrieved from: http://www.escholarship.org/uc/item/0mf7h9fz","raw_type":"article"},{"id":"mag:2767567303","doi":null,"is_oa":false,"landing_page_url":"https://escholarship.org/content/qt0mf7h9fz/qt0mf7h9fz.pdf?t=op2iys","pdf_url":null,"source":{"id":"https://openalex.org/S4306523994","display_name":"Proceedings of the Annual Meeting of the Cognitive Science Society","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Annual Meeting of the Cognitive Science Society","raw_type":null}],"best_oa_location":{"id":"pmh:oai:escholarship.org/ark:/13030/qt0mf7h9fz","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/0mf7h9fz","pdf_url":"https://escholarship.org/uc/item/0mf7h9fz","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Annual Meeting of the Cognitive Science Society, vol 29, iss 29","raw_type":"article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4987417611","display_name":"Grounded and Transferable Knowledge of Complex Systems Using Computer Simulations","funder_award_id":"0527920","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332210","display_name":"Institute of Education Sciences","ror":"https://ror.org/04et59085"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2767567303.pdf","grobid_xml":"https://content.openalex.org/works/W2767567303.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W185898956","https://openalex.org/W1514058369","https://openalex.org/W1592113093","https://openalex.org/W1968133283","https://openalex.org/W1974658064","https://openalex.org/W1987727095","https://openalex.org/W1993868776","https://openalex.org/W2011631075","https://openalex.org/W2020738434","https://openalex.org/W2027429247","https://openalex.org/W2065036980","https://openalex.org/W2068521507","https://openalex.org/W2083587950","https://openalex.org/W2116094714","https://openalex.org/W2132423455","https://openalex.org/W2135054307","https://openalex.org/W2159509912","https://openalex.org/W2172212597","https://openalex.org/W4235344441"],"related_works":["https://openalex.org/W2767449960","https://openalex.org/W7096537273","https://openalex.org/W7095495370","https://openalex.org/W2122760501","https://openalex.org/W4296877424","https://openalex.org/W1981554308","https://openalex.org/W4405007412","https://openalex.org/W7212246837","https://openalex.org/W4415817361","https://openalex.org/W3083870530"],"abstract_inverted_index":{"This":[0,35],"paper":[1],"investigates":[2],"how":[3],"people":[4],"build":[5],"interpretations":[6,19],"of":[7,25,47,58,107,113],"compound":[8],"mathematical":[9],"expressions":[10],"in":[11],"a":[12,40,69,77,105],"novel":[13,61,146],"formal":[14,139],"system.":[15],"In":[16,49],"traditional":[17],"arithmetic,":[18],"are":[20],"guided":[21],"by":[22,39],"an":[23],"order":[24,36,46,112],"precedence":[26,70,86,97,118],"convention":[27,42,80],"(times":[28],"and":[29,33,63,120],"division":[30],"precede":[31],"addition":[32],"subtraction).":[34],"is":[37],"supported":[38],"spatial":[41],"that":[43,81,132],"supports":[44],"the":[45,50,85,96,111,117],"precedence.":[48],"experiment":[51],"described":[52],"here,":[53],"participants":[54],"learned":[55],"computation":[56],"tables":[57],"two":[59],"simple":[60],"operators,":[62],"then":[64],"were":[65,74,100],"asked":[66],"to":[67,103],"discover":[68],"rule.":[71],"The":[72,129],"operators":[73],"presented":[75],"with":[76,84,95,116,138],"physical":[78],"spacing":[79],"either":[82,126],"aligned":[83,94,115],"order,":[87,119],"opposed":[88,92],"it,":[89],"or":[90,93],"randomly":[91],"order.":[98],"Participants":[99],"more":[101,123],"likely":[102],"reach":[104],"criterion":[106],"successful":[108],"performance":[109],"when":[110],"operations":[114],"did":[121],"so":[122],"quickly":[124],"than":[125],"other":[127],"group.":[128],"results":[130],"indicate":[131],"reasoners":[133],"integrate":[134],"salient":[135],"perceptual":[136],"cues":[137],"knowledge":[140],"following":[141],"familiar":[142],"conventions,":[143],"even":[144],"on":[145],"systems.":[147]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2017-11-17T00:00:00"}
