{"id":"https://openalex.org/W4392597670","doi":"https://doi.org/10.32744/pse.2024.1.13","title":"Exploring students' proportional reasoning in mathematical literacy problem solving: recognition of multiplicative relationship strategies","display_name":"Exploring students' proportional reasoning in mathematical literacy problem solving: recognition of multiplicative relationship strategies","publication_year":2024,"publication_date":"2024-03-01","ids":{"openalex":"https://openalex.org/W4392597670","doi":"https://doi.org/10.32744/pse.2024.1.13"},"language":"en","primary_location":{"id":"doi:10.32744/pse.2024.1.13","doi":"https://doi.org/10.32744/pse.2024.1.13","is_oa":true,"landing_page_url":"http://dx.doi.org/10.32744/pse.2024.1.13","pdf_url":"https://pnojournalarchive4.files.wordpress.com/2024/03/pdf_240113.pdf","source":{"id":"https://openalex.org/S4210170054","display_name":"Perspectives of science and education","issn_l":"2307-2334","issn":["2307-2334"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives of Science and Education","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://pnojournalarchive4.files.wordpress.com/2024/03/pdf_240113.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Universitas Negeri Malang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Universitas Negeri Malang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013752756","display_name":"Nego Linuhung","orcid":"https://orcid.org/0000-0002-1244-9812","observed_orcids":["https://orcid.org/0000-0002-1244-9812"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nego Linuhung","raw_affiliation_strings":["(Indonesia , Malang )"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(Indonesia , Malang )","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Purwanto","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Purwanto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Universitas Negeri Malang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Universitas Negeri Malang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Sukoriyanto","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sukoriyanto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Universitas Negeri Malang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Universitas Negeri Malang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Sudirman","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sudirman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Universitas Negeri Malang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Universitas Negeri Malang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6187,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.85369168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"67","issue":"1","first_page":"242","last_page":"257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","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/T12522","display_name":"Mathematics Education and Pedagogy","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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.00019999999494757503,"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/T11875","display_name":"Statistics Education and Methodologies","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/proportional-reasoning","display_name":"proportional reasoning","score":1.0},{"id":"https://openalex.org/keywords/multiplicative-relationships","display_name":"multiplicative relationships","score":0.9160000085830688},{"id":"https://openalex.org/keywords/mathematical-literacy","display_name":"mathematical literacy","score":0.949999988079071},{"id":"https://openalex.org/keywords/problem-solving-strategies","display_name":"problem-solving strategies","score":0.7210000157356262},{"id":"https://openalex.org/keywords/multiple-strategies","display_name":"multiple strategies","score":0.8830000162124634},{"id":"https://openalex.org/keywords/junior-high-school-students","display_name":"junior high school students","score":0.8529999852180481},{"id":"https://openalex.org/keywords/additive-reasoning","display_name":"additive reasoning","score":0.6800000071525574}],"concepts":[{"id":"https://openalex.org/C2777034806","wikidata":"https://www.wikidata.org/wiki/Q7250356","display_name":"Proportional reasoning","level":2,"score":0.7389872074127197},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7322131395339966},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6010292768478394},{"id":"https://openalex.org/C53537400","wikidata":"https://www.wikidata.org/wiki/Q140637","display_name":"Numeracy","level":3,"score":0.5852453708648682},{"id":"https://openalex.org/C547764534","wikidata":"https://www.wikidata.org/wiki/Q8236","display_name":"Literacy","level":2,"score":0.49199220538139343},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.43192508816719055},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.41693758964538574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3425781726837158},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.14621302485466003},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.14506033062934875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.32744/pse.2024.1.13","doi":"https://doi.org/10.32744/pse.2024.1.13","is_oa":true,"landing_page_url":"http://dx.doi.org/10.32744/pse.2024.1.13","pdf_url":"https://pnojournalarchive4.files.wordpress.com/2024/03/pdf_240113.pdf","source":{"id":"https://openalex.org/S4210170054","display_name":"Perspectives of science and education","issn_l":"2307-2334","issn":["2307-2334"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives of Science and Education","raw_type":"journal-article"},{"id":"pmh:https://cyberleninka.ru/article/n/exploring-students-proportional-reasoning-in-mathematical-literacy-problem-solving-recognition-of-multiplicative-relationship","doi":null,"is_oa":false,"landing_page_url":"https://cyberleninka.ru/article/n/exploring-students-proportional-reasoning-in-mathematical-literacy-problem-solving-recognition-of-multiplicative-relationship","pdf_url":null,"source":{"id":"https://openalex.org/S4306401404","display_name":"CyberLeninK (CyberLeninka)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"text"}],"best_oa_location":{"id":"doi:10.32744/pse.2024.1.13","doi":"https://doi.org/10.32744/pse.2024.1.13","is_oa":true,"landing_page_url":"http://dx.doi.org/10.32744/pse.2024.1.13","pdf_url":"https://pnojournalarchive4.files.wordpress.com/2024/03/pdf_240113.pdf","source":{"id":"https://openalex.org/S4210170054","display_name":"Perspectives of science and education","issn_l":"2307-2334","issn":["2307-2334"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives of Science and Education","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.8278999924659729}],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320329008","display_name":"Universitas Negeri Malang","ror":"https://ror.org/00ypgyy34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392597670.pdf","grobid_xml":"https://content.openalex.org/works/W4392597670.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W66743196","https://openalex.org/W1501510787","https://openalex.org/W1588956475","https://openalex.org/W1820249036","https://openalex.org/W1992673648","https://openalex.org/W2151832095","https://openalex.org/W2167435693","https://openalex.org/W2167958269","https://openalex.org/W2183141317","https://openalex.org/W2295119986","https://openalex.org/W2346496689","https://openalex.org/W2409199325","https://openalex.org/W2537273528","https://openalex.org/W2557697733","https://openalex.org/W2557898711","https://openalex.org/W2603573836","https://openalex.org/W2616398382","https://openalex.org/W2751921287","https://openalex.org/W2754596192","https://openalex.org/W2761592995","https://openalex.org/W2792901901","https://openalex.org/W2917247165","https://openalex.org/W2949082577","https://openalex.org/W2950915791","https://openalex.org/W2954332150","https://openalex.org/W2967814336","https://openalex.org/W2969521249","https://openalex.org/W2990578894","https://openalex.org/W3014773216","https://openalex.org/W3014972443","https://openalex.org/W3017021307","https://openalex.org/W3022547942","https://openalex.org/W3118437368","https://openalex.org/W3127905391","https://openalex.org/W3128992423","https://openalex.org/W3205067704","https://openalex.org/W3206167516","https://openalex.org/W4220885993","https://openalex.org/W4230616807","https://openalex.org/W4232359619","https://openalex.org/W4233395115","https://openalex.org/W4256740614","https://openalex.org/W4291327342","https://openalex.org/W4353109171","https://openalex.org/W4366281321","https://openalex.org/W6776363992"],"related_works":["https://openalex.org/W4411127305","https://openalex.org/W4414187853","https://openalex.org/W2949082577","https://openalex.org/W7112483887","https://openalex.org/W7128294236","https://openalex.org/W4392625500","https://openalex.org/W3199068337","https://openalex.org/W2271792491","https://openalex.org/W7164265183","https://openalex.org/W4394292733"],"abstract_inverted_index":{"Introduction.":[0],"A":[1],"multiplicative":[2,44,71,133,212,242],"relationship":[3],"represents":[4],"the":[5,13,23,37,41,49,64,124,136,162,170,208,220,224,262,267,273,283,297,326,339,344],"association":[6],"between":[7,255,279],"two":[8,196,257],"or":[9,53],"more":[10,368],"variables":[11],"in":[12,48,58,69,74,90,96,131,144,148,214,240,249,261,265,352],"form":[14,50,321],"of":[15,43,51,127,198,210,276,299,322,341,359],"multiplication.":[16,300],"For":[17],"example,":[18],"when":[19],"one":[20],"variable":[21,25],"increases,":[22],"other":[24,327,350],"also":[26],"escalates":[27],"proportionally.":[28],"Accordingly,":[29],"it":[30],"is":[31],"important":[32],"for":[33,183,367,375],"students":[34,68,206,289,304],"to":[35,39,106,234,306,335,349],"have":[36,200],"ability":[38,334],"identify":[40],"pattern":[42,225,329],"relationships,":[45,72,243,313],"describe":[46],"them":[47,57,348],"equations":[52],"comparisons,":[54],"and":[55,84,113,120,181,223,238,311,346,370],"apply":[56],"different":[59],"situations.":[60,81,150],"This":[61,151,227],"study":[62,152,361],"describes":[63],"strategies":[65,199,222,237,330],"used":[66,153,204,264],"by":[67,205],"recognizing":[70,132,211,241],"particularly":[73,130],"solving":[75,145,215,266,353],"mathematical":[76,110,216],"literacy":[77,111,146,217],"problems":[78,147],"containing":[79],"proportional":[80,128,149,378],"Study":[82],"participants":[83],"methods.":[85],"The":[86,173,187,252,269,357],"research":[87,160],"was":[88,165],"conducted":[89],"three":[91],"junior":[92],"high":[93],"schools":[94],"located":[95],"Malang,":[97],"Indonesia,":[98],"involving":[99],"191":[100],"ninth-grade":[101],"students.":[102],"They":[103],"were":[104,118,138,176,189],"asked":[105],"work":[107],"on":[108,123,282,317,332],"a":[109,154,158,184,231,320,364],"question,":[112],"then":[114,190],"their":[115,142,292],"answer":[116],"sheets":[117],"corrected":[119],"grouped":[121],"based":[122],"developmental":[125],"stage":[126,209],"reasoning,":[129],"relationships.":[134],"Furthermore,":[135],"subjects":[137],"interviewed":[139],"in-depth":[140],"concerning":[141],"experience":[143,164],"qualitative":[155],"approach":[156,263],"with":[157,169,314],"phenomenological":[159],"type.":[161],"subject's":[163],"investigated":[166],"holistically,":[167],"along":[168],"appearing":[171],"phenomenon.":[172],"garnered":[174],"data":[175],"interpreted":[177],"through":[178,291],"continuous":[179],"reflection":[180],"analysis":[182],"deeper":[185],"understanding.":[186],"results":[188,358],"summarized.":[191],"Results.":[192],"In":[193,301],"this":[194,302,360],"study,":[195],"variations":[197,259],"been":[201,247],"identified":[202],"being":[203],"at":[207],"relationships":[213],"problems,":[218],"namely":[219],"multiple":[221],"strategy.":[226],"finding":[228],"serves":[229],"as":[230,288,319,363],"valuable":[232],"contribution":[233],"understanding":[235],"students'":[236,333,377],"behaviors":[239],"which":[244],"has":[245],"not":[246],"revealed":[248],"previous":[250],"studies.":[251],"main":[253],"difference":[254],"these":[256],"strategy":[258,271],"lies":[260],"problem.":[268],"multiples":[270],"emphasizes":[272],"conceptual":[274,284],"linking":[275],"quantity":[277],"values":[278],"objects,":[280],"relying":[281],"shifts":[285],"that":[286],"transpire":[287],"navigate":[290],"additive":[293],"reasoning":[294],"steps":[295],"within":[296],"framework":[298],"case,":[303],"need":[305],"comprehend":[307],"various":[308],"number":[309,312],"concepts":[310],"frequent":[315],"focus":[316],"multiplication":[318],"repeated":[323],"addition.":[324],"On":[325],"hand,":[328],"rely":[331],"match":[336],"patterns,":[337],"use":[338],"arrangement":[340],"numbers":[342],"constituting":[343],"pattern,":[345],"relate":[347],"patterns":[351],"problems.":[354],"Practical":[355],"significance.":[356],"serve":[362],"crucial":[365],"reference":[366],"effective":[369],"efficient":[371],"mathematics":[372],"learning":[373],"formulation":[374],"improving":[376],"reasoning.":[379]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2024-03-09T00:00:00"}
