{"id":"https://openalex.org/W2134355669","doi":null,"title":"First year pre-service teachers' mathematical content knowledge: Methods of solution for a ratio question","display_name":"First year pre-service teachers' mathematical content knowledge: Methods of solution for a ratio question","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2134355669","mag":"2134355669"},"language":"en","primary_location":{"id":"pmh:oai:eprints.vu.edu.au:9041","doi":null,"is_oa":false,"landing_page_url":"https://vuir.vu.edu.au/9041/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"volume":null,"type":"article","indexed_in":[],"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/A5004057534","display_name":"Sharyn Livy","orcid":"https://orcid.org/0000-0001-7753-3102","observed_orcids":["https://orcid.org/0000-0001-7753-3102"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Livy, Sharyn","raw_affiliation_strings":["Education Peninsula"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Education Peninsula","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017154718","display_name":"Colleen Vale","orcid":"https://orcid.org/0000-0002-9070-7071","observed_orcids":["https://orcid.org/0000-0002-9070-7071"]},"institutions":[{"id":"https://openalex.org/I71270174","display_name":"Victoria University","ror":"https://ror.org/04j757h98","country_code":"AU","type":"education","lineage":["https://openalex.org/I71270174"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Vale, Colleen M","raw_affiliation_strings":["Victoria University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Victoria University","institution_ids":["https://openalex.org/I71270174"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.8494,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.98328962,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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":0.00019999999494757503,"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/T14079","display_name":"Mathematics Education and Programs","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pre-service-teachers","display_name":"pre-service teachers","score":0.9549999833106995},{"id":"https://openalex.org/keywords/mathematical-content-knowledge","display_name":"mathematics content knowledge","score":0.9860000014305115},{"id":"https://openalex.org/keywords/ratio","display_name":"ratio","score":0.8140000104904175},{"id":"https://openalex.org/keywords/units-of-measurement","display_name":"units of measurement","score":0.8849999904632568},{"id":"https://openalex.org/keywords/primary-teacher-education","display_name":"primary teacher education","score":0.7860000133514404},{"id":"https://openalex.org/keywords/mathematical-knowledge-for-teaching","display_name":"mathematical knowledge for teaching","score":0.4819999933242798}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6203002333641052},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.5279228687286377},{"id":"https://openalex.org/C2776291881","wikidata":"https://www.wikidata.org/wiki/Q6423378","display_name":"Knowledge level","level":2,"score":0.4937919080257416},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.4751589000225067},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.43186473846435547},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.42761263251304626},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.3842751979827881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36360055208206177},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09268417954444885},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:eprints.vu.edu.au:9041","doi":null,"is_oa":false,"landing_page_url":"https://vuir.vu.edu.au/9041/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality education","score":0.9235000014305115,"id":"https://metadata.un.org/sdg/4"}],"sustainable_development_goals_aurora":[{"display_name":"Quality education","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/4"}],"study_designs":[{"display_name":"Observational Study","id":"https://openalex.org/study-designs/observational-study"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W123605971","https://openalex.org/W238774505","https://openalex.org/W570077266","https://openalex.org/W641959262","https://openalex.org/W1533490605","https://openalex.org/W1537154415","https://openalex.org/W1553291901","https://openalex.org/W1606328991","https://openalex.org/W1933646643","https://openalex.org/W2022794160","https://openalex.org/W2035331489","https://openalex.org/W2049422686","https://openalex.org/W2053412201","https://openalex.org/W2115258890","https://openalex.org/W2119778388","https://openalex.org/W2131173685","https://openalex.org/W2140369176","https://openalex.org/W2150779316","https://openalex.org/W2159567558","https://openalex.org/W2246717614","https://openalex.org/W2253904935","https://openalex.org/W2415351307","https://openalex.org/W2418033476","https://openalex.org/W2740141193","https://openalex.org/W2903016442","https://openalex.org/W2959162386","https://openalex.org/W2971593724","https://openalex.org/W3016788164"],"related_works":["https://openalex.org/W7099139556","https://openalex.org/W2184197438","https://openalex.org/W2241004694","https://openalex.org/W2253904935","https://openalex.org/W3203695742","https://openalex.org/W2527704431","https://openalex.org/W2792704861","https://openalex.org/W4290825748","https://openalex.org/W2791557663","https://openalex.org/W114245481"],"abstract_inverted_index":{"The":[0,38],"research":[1],"reported":[2],"in":[3],"this":[4,22],"article":[5],"is":[6,13],"part":[7],"of":[8,26,45,58,61],"a":[9,24],"larger":[10],"study":[11,23,25,39],"that":[12,41],"investigating":[14],"primary":[15],"pre-service":[16,29,46],"teachers":[17,47],"mathematical":[18,50,55],"content":[19,51,56],"knowledge.":[20],"For":[21],"first":[27],"year":[28],"teachers'":[30],"responses":[31],"to":[32],"two":[33],"ratio":[34,62],"questions":[35],"were":[36],"analysed.":[37],"found":[40],"the":[42,59],"vast":[43],"majority":[44],"lacked":[48],"specialised":[49],"knowledge":[52,57],"and":[53,63],"common":[54],"concept":[60],"measurement":[64],"units.":[65]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-09-27T08:07:27.782135","created_date":"2016-06-24T00:00:00"}
