{"id":"https://openalex.org/W3141160059","doi":"https://doi.org/10.1007/s10649-021-10033-4","title":"Teachers\u2019 conceptual understanding of fraction operations: results from a national sample of elementary school teachers","display_name":"Teachers\u2019 conceptual understanding of fraction operations: results from a national sample of elementary school teachers","publication_year":2021,"publication_date":"2021-03-27","ids":{"openalex":"https://openalex.org/W3141160059","doi":"https://doi.org/10.1007/s10649-021-10033-4","mag":"3141160059"},"language":"en","primary_location":{"id":"doi:10.1007/s10649-021-10033-4","doi":"https://doi.org/10.1007/s10649-021-10033-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10649-021-10033-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10649-021-10033-4.pdf","source":{"id":"https://openalex.org/S119483640","display_name":"Educational Studies in Mathematics","issn_l":"0013-1954","issn":["0013-1954","1573-0816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educational Studies in Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10649-021-10033-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055411257","display_name":"Yasemin Copur\u2010Gencturk","orcid":"https://orcid.org/0000-0001-8819-3035","observed_orcids":["https://orcid.org/0000-0001-8819-3035"]},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yasemin Copur-Gencturk","raw_affiliation_strings":["University of Southern California, Los Angeles, CA, 90089, USA"],"raw_orcid":"https://orcid.org/0000-0001-8819-3035","affiliations":[{"raw_affiliation_string":"University of Southern California, Los Angeles, CA, 90089, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055411257"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":{"value":2780,"currency":"USD","value_usd":2780},"fwci":21.0912,"has_fulltext":true,"cited_by_count":67,"citation_normalized_percentile":{"value":0.9945512,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"107","issue":"3","first_page":"525","last_page":"545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10072","display_name":"Science Education and Pedagogy","score":9.999999747378752e-05,"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/teacher-conceptual-understanding","display_name":"teacher conceptual understanding","score":0.7620000243186951},{"id":"https://openalex.org/keywords/fraction-operations","display_name":"fraction arithmetic","score":0.9480000138282776},{"id":"https://openalex.org/keywords/division-of-fractions","display_name":"fraction division","score":0.7329999804496765},{"id":"https://openalex.org/keywords/addition-of-fractions","display_name":"fraction addition","score":0.9940000176429749},{"id":"https://openalex.org/keywords/elementary-school-mathematics-teachers","display_name":"elementary school mathematics teachers","score":0.9359999895095825},{"id":"https://openalex.org/keywords/teacher-experience","display_name":"teacher experiences","score":0.703000009059906},{"id":"https://openalex.org/keywords/special-education-teachers","display_name":"special education teachers","score":0.9950000047683716},{"id":"https://openalex.org/keywords/teacher-explanations","display_name":"teacher explanations","score":0.5849999785423279},{"id":"https://openalex.org/keywords/mathematical-knowledge-for-teaching","display_name":"mathematical knowledge for teaching","score":0.5080000162124634}],"concepts":[{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.7846629619598389},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.7717891931533813},{"id":"https://openalex.org/C3020423824","wikidata":"https://www.wikidata.org/wiki/Q37226","display_name":"School teachers","level":2,"score":0.5921615958213806},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5898128151893616},{"id":"https://openalex.org/C58801604","wikidata":"https://www.wikidata.org/wiki/Q3284266","display_name":"Elementary mathematics","level":2,"score":0.4910285472869873},{"id":"https://openalex.org/C48164120","wikidata":"https://www.wikidata.org/wiki/Q4491893","display_name":"Concept learning","level":2,"score":0.48308685421943665},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.46970364451408386},{"id":"https://openalex.org/C10050518","wikidata":"https://www.wikidata.org/wiki/Q975085","display_name":"Primary education","level":2,"score":0.434001624584198},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.43369990587234497},{"id":"https://openalex.org/C106165879","wikidata":"https://www.wikidata.org/wiki/Q5141259","display_name":"Cognitively Guided Instruction","level":3,"score":0.4129714369773865},{"id":"https://openalex.org/C88610354","wikidata":"https://www.wikidata.org/wiki/Q1813494","display_name":"Teaching method","level":2,"score":0.38675349950790405},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.35017308592796326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2619722783565521},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2314184308052063},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10649-021-10033-4","doi":"https://doi.org/10.1007/s10649-021-10033-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10649-021-10033-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10649-021-10033-4.pdf","source":{"id":"https://openalex.org/S119483640","display_name":"Educational Studies in Mathematics","issn_l":"0013-1954","issn":["0013-1954","1573-0816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educational Studies in Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10649-021-10033-4","doi":"https://doi.org/10.1007/s10649-021-10033-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10649-021-10033-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10649-021-10033-4.pdf","source":{"id":"https://openalex.org/S119483640","display_name":"Educational Studies in Mathematics","issn_l":"0013-1954","issn":["0013-1954","1573-0816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educational Studies in Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Quality education","id":"https://metadata.un.org/sdg/4","score":0.975600004196167}],"study_designs":[{"display_name":"Observational Study","id":"https://openalex.org/study-designs/observational-study"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3141160059.pdf","grobid_xml":"https://content.openalex.org/works/W3141160059.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W133683625","https://openalex.org/W162590165","https://openalex.org/W297270118","https://openalex.org/W1488090801","https://openalex.org/W1491581242","https://openalex.org/W1533490605","https://openalex.org/W1543717598","https://openalex.org/W1586357341","https://openalex.org/W1975438276","https://openalex.org/W1976522438","https://openalex.org/W1995580728","https://openalex.org/W2002746035","https://openalex.org/W2006318385","https://openalex.org/W2008606319","https://openalex.org/W2013736399","https://openalex.org/W2016438993","https://openalex.org/W2022794160","https://openalex.org/W2036638680","https://openalex.org/W2065953104","https://openalex.org/W2069291988","https://openalex.org/W2089571201","https://openalex.org/W2091230770","https://openalex.org/W2097330897","https://openalex.org/W2115258890","https://openalex.org/W2115565953","https://openalex.org/W2119740413","https://openalex.org/W2122081458","https://openalex.org/W2131173685","https://openalex.org/W2136461443","https://openalex.org/W2140369176","https://openalex.org/W2141462352","https://openalex.org/W2146066714","https://openalex.org/W2280152012","https://openalex.org/W2322862622","https://openalex.org/W2347099930","https://openalex.org/W2461557003","https://openalex.org/W2745058162","https://openalex.org/W2792647118","https://openalex.org/W2916383882","https://openalex.org/W2939444365","https://openalex.org/W3016506682","https://openalex.org/W3125984319","https://openalex.org/W4238414516","https://openalex.org/W4288077052"],"related_works":["https://openalex.org/W2372239744","https://openalex.org/W2888555875","https://openalex.org/W1796214105","https://openalex.org/W6927106659","https://openalex.org/W2982224767","https://openalex.org/W7095834041","https://openalex.org/W2069291988","https://openalex.org/W2054617568","https://openalex.org/W2920054288","https://openalex.org/W4395046685"],"abstract_inverted_index":{"Abstract":[0],"Teachers\u2019":[1,41],"understanding":[2,69,87,102],"of":[3,11,21,35,49,55,70,88,103],"the":[4,9,26,47,53],"concepts":[5,37,56],"they":[6,59],"teach":[7],"affects":[8],"quality":[10],"instruction":[12],"and":[13,52,57,91],"students\u2019":[14],"learning.":[15],"This":[16],"study":[17],"used":[18,60],"a":[19,80,100,111],"sample":[20],"303":[22],"teachers":[23,96,109],"from":[24],"across":[25],"USA":[27],"to":[28,98],"examine":[29],"elementary":[30],"school":[31],"mathematics":[32],"teachers\u2019":[33,68,86],"knowledge":[34],"key":[36],"underlying":[38],"fraction":[39,71,77,89,104],"arithmetic.":[40],"explanations":[42,51],"were":[43],"coded":[44],"based":[45],"on":[46],"accuracy":[48],"their":[50,62],"kinds":[54],"representations":[58],"in":[61],"responses.":[63],"The":[64],"results":[65],"showed":[66],"that":[67],"arithmetic":[72],"was":[73,83],"limited,":[74],"especially":[75],"for":[76],"division,":[78],"yet":[79],"moderate":[81],"relationship":[82],"found":[84],"between":[85],"addition":[90],"division.":[92],"Furthermore,":[93],"more":[94],"experienced":[95],"seemed":[97],"have":[99],"deeper":[101],"arithmetic,":[105],"whereas":[106],"special":[107],"education":[108],"had":[110],"substantially":[112],"limited":[113],"understanding.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":13},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5}],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2021-04-13T00:00:00"}