{"id":"https://openalex.org/W1973233124","doi":"https://doi.org/10.1037//0022-0663.89.2.309","title":"Proportional reasoning in young children: The parts and the whole of it.","display_name":"Proportional reasoning in young children: The parts and the whole of it.","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1973233124","doi":"https://doi.org/10.1037//0022-0663.89.2.309","mag":"1973233124"},"language":"en","primary_location":{"id":"doi:10.1037//0022-0663.89.2.309","doi":"https://doi.org/10.1037//0022-0663.89.2.309","is_oa":false,"landing_page_url":"https://doi.org/10.1037//0022-0663.89.2.309","pdf_url":null,"source":{"id":"https://openalex.org/S61703936","display_name":"Journal of Educational Psychology","issn_l":"0022-0663","issn":["0022-0663","1939-2176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","erih-plus","jufo-3","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320262","host_organization_name":"American Psychological Association","host_organization_lineage":["https://openalex.org/P4310320262"],"host_organization_lineage_names":["American Psychological Association"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Educational Psychology","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068274194","display_name":"Catherine Sophian","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I117965899","display_name":"University of Hawai\u02bbi at M\u0101noa","ror":"https://ror.org/01wspgy28","country_code":"US","type":"education","lineage":["https://openalex.org/I117965899"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Catherine Sophian","raw_affiliation_strings":["U Hawaii-Manoa, Dept of Psychology, Honolulu, HI, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"U Hawaii-Manoa, Dept of Psychology, Honolulu, HI, US","institution_ids":["https://openalex.org/I117965899"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079887015","display_name":"Amy M. Wood","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Amy Wood","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9369,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.73985043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"89","issue":"2","first_page":"309","last_page":"317"},"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":0.9932000041007996,"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":0.9932000041007996,"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/T10656","display_name":"Child and Animal Learning Development","score":0.002400000113993883,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational 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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.0012000000569969416,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/proportional-reasoning","display_name":"proportional reasoning","score":1.0},{"id":"https://openalex.org/keywords/part-whole-relations","display_name":"part-whole relations","score":0.7730000019073486},{"id":"https://openalex.org/keywords/fraction-learning","display_name":"fraction learning","score":0.7620000243186951}],"concepts":[{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.7639718055725098},{"id":"https://openalex.org/C2994050667","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstract reasoning","level":3,"score":0.601154625415802},{"id":"https://openalex.org/C2777034806","wikidata":"https://www.wikidata.org/wiki/Q7250356","display_name":"Proportional reasoning","level":2,"score":0.487989604473114},{"id":"https://openalex.org/C43971567","wikidata":"https://www.wikidata.org/wiki/Q3142865","display_name":"Logical reasoning","level":2,"score":0.4710683226585388},{"id":"https://openalex.org/C138496976","wikidata":"https://www.wikidata.org/wiki/Q175002","display_name":"Developmental psychology","level":1,"score":0.4318382740020752},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.40078601241111755},{"id":"https://openalex.org/C169900460","wikidata":"https://www.wikidata.org/wiki/Q2200417","display_name":"Cognition","level":2,"score":0.3926845192909241},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3284528851509094},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1037//0022-0663.89.2.309","doi":"https://doi.org/10.1037//0022-0663.89.2.309","is_oa":false,"landing_page_url":"https://doi.org/10.1037//0022-0663.89.2.309","pdf_url":null,"source":{"id":"https://openalex.org/S61703936","display_name":"Journal of Educational Psychology","issn_l":"0022-0663","issn":["0022-0663","1939-2176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","erih-plus","jufo-3","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320262","host_organization_name":"American Psychological Association","host_organization_lineage":["https://openalex.org/P4310320262"],"host_organization_lineage_names":["American Psychological Association"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Educational Psychology","raw_type":"journal-article"},{"id":"doi:10.1037/0022-0663.89.2.309","doi":"https://doi.org/10.1037/0022-0663.89.2.309","is_oa":false,"landing_page_url":"https://doi.org/10.1037/0022-0663.89.2.309","pdf_url":null,"source":{"id":"https://openalex.org/S61703936","display_name":"Journal of Educational Psychology","issn_l":"0022-0663","issn":["0022-0663","1939-2176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","erih-plus","jufo-3","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320262","host_organization_name":"American Psychological Association","host_organization_lineage":["https://openalex.org/P4310320262"],"host_organization_lineage_names":["American Psychological Association"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Educational Psychology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W7833238","https://openalex.org/W20393336","https://openalex.org/W78373273","https://openalex.org/W574135392","https://openalex.org/W592373331","https://openalex.org/W643266020","https://openalex.org/W1500112243","https://openalex.org/W1606328991","https://openalex.org/W1971139377","https://openalex.org/W1974988462","https://openalex.org/W2002063210","https://openalex.org/W2013160169","https://openalex.org/W2020633849","https://openalex.org/W2034955950","https://openalex.org/W2041436215","https://openalex.org/W2062991217","https://openalex.org/W2070437222","https://openalex.org/W2076725824","https://openalex.org/W2136695692","https://openalex.org/W2246717614","https://openalex.org/W2592771816","https://openalex.org/W3014684495","https://openalex.org/W3199398382"],"related_works":["https://openalex.org/W2290311817","https://openalex.org/W2969521249","https://openalex.org/W7025344559","https://openalex.org/W925052973","https://openalex.org/W2944347591","https://openalex.org/W4213129741","https://openalex.org/W1481856544","https://openalex.org/W2090243444","https://openalex.org/W2955984927","https://openalex.org/W3004619683"],"abstract_inverted_index":{"Evidence":[0],"concerning":[1],"intuitive":[2],"foundations":[3],"for":[4],"fraction":[5],"learning":[6],"was":[7,85],"obtained":[8],"in":[9,15,87],"a":[10,43,76],"study":[11],"of":[12,42,72],"early":[13],"developments":[14],"proportional":[16],"reasoning.":[17],"Children":[18],"aged":[19],"5":[20],"to":[21,25,34,45,62,66,90],"7":[22,70],"years":[23,71],"(kindergarten":[24],"2nd":[26],"grade)":[27],"were":[28,60],"given":[29],"problems":[30,92],"constructed":[31],"so":[32],"as":[33],"differentiate":[35],"between":[36,53],"reasoning":[37,49,84],"based":[38,50],"on":[39,51,82],"the":[40,46],"relations":[41,52,65],"part":[44,55],"whole":[47],"versus":[48],"one":[54],"and":[56,96],"another.":[57],"The":[58],"participants":[59],"able":[61],"use":[63],"part-whole":[64,83,95],"compare":[67],"proportions":[68],"by":[69],"age.":[73],"In":[74],"addition,":[75],"developmental":[77],"shift":[78],"toward":[79],"increasing":[80],"reliance":[81],"observed":[86],"children's":[88],"responses":[89],"conflict":[91],"that":[93],"pitted":[94],"part-part":[97],"matches":[98],"against":[99],"each":[100],"other.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}