{"id":"https://openalex.org/W7204276193","doi":"https://doi.org/10.37478/jupika.v9i1.7576","title":"ANALYSIS OF STUDENTS' DIFFICULTIES IN SOLVING MATRIX OPERATIONS PROBLEMS","display_name":"ANALYSIS OF STUDENTS' DIFFICULTIES IN SOLVING MATRIX OPERATIONS PROBLEMS","publication_year":2026,"publication_date":"2026-03-01","ids":{"openalex":"https://openalex.org/W7204276193","doi":"https://doi.org/10.37478/jupika.v9i1.7576"},"language":"en","primary_location":{"id":"doi:10.37478/jupika.v9i1.7576","doi":"https://doi.org/10.37478/jupika.v9i1.7576","is_oa":true,"landing_page_url":"https://doi.org/10.37478/jupika.v9i1.7576","pdf_url":"https://e-journal.uniflor.ac.id/index.php/jupika/article/download/7576/3540","source":{"id":"https://openalex.org/S4210202812","display_name":"JUPIKA JURNAL PENDIDIKAN MATEMATIKA","issn_l":"2745-5483","issn":["2745-5483","2745-5491"],"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":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JUPIKA: JURNAL PENDIDIKAN MATEMATIKA","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://e-journal.uniflor.ac.id/index.php/jupika/article/download/7576/3540","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148308928","display_name":"Nisa Lestari","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4387152271","display_name":"Bina Bangsa Getsempena University","ror":"https://ror.org/02ja3st78","country_code":"ID","type":"education","lineage":["https://openalex.org/I4387152271"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Nisa Lestari","raw_affiliation_strings":["Bina Bangsa Getsempena University, Banda Aceh, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bina Bangsa Getsempena University, Banda Aceh, Indonesia","institution_ids":["https://openalex.org/I4387152271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139380899","display_name":"Intan Kemala Sari","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4387152271","display_name":"Bina Bangsa Getsempena University","ror":"https://ror.org/02ja3st78","country_code":"ID","type":"education","lineage":["https://openalex.org/I4387152271"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Intan Kemala Sari","raw_affiliation_strings":["Bina Bangsa Getsempena University, Banda Aceh, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bina Bangsa Getsempena University, Banda Aceh, Indonesia","institution_ids":["https://openalex.org/I4387152271"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5139336151","display_name":"Rahmat Fitra","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4387152271","display_name":"Bina Bangsa Getsempena University","ror":"https://ror.org/02ja3st78","country_code":"ID","type":"education","lineage":["https://openalex.org/I4387152271"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Rahmat Fitra","raw_affiliation_strings":["Bina Bangsa Getsempena University, Banda Aceh, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bina Bangsa Getsempena University, Banda Aceh, Indonesia","institution_ids":["https://openalex.org/I4387152271"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4387152271"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.60737468,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"1","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.9984999895095825,"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":0.0005000000237487257,"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"}},{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.00039999998989515007,"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/matrix-operations","display_name":"matrix operations","score":0.9959999918937683},{"id":"https://openalex.org/keywords/student-difficulties","display_name":"student difficulties","score":0.8019999861717224},{"id":"https://openalex.org/keywords/conceptual-understanding","display_name":"conceptual understanding","score":0.9679999947547913},{"id":"https://openalex.org/keywords/mathematical-symbols","display_name":"mathematical symbols","score":0.6880000233650208},{"id":"https://openalex.org/keywords/problem-understanding","display_name":"problem understanding","score":0.7739999890327454},{"id":"https://openalex.org/keywords/determinants","display_name":"determinants","score":0.5249999761581421},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"matrix multiplication","score":0.5270000100135803},{"id":"https://openalex.org/keywords/student-centered-learning","display_name":"student-centered learning","score":0.621999979019165},{"id":"https://openalex.org/keywords/visual-media","display_name":"visual media","score":0.5130000114440918},{"id":"https://openalex.org/keywords/procedural-accuracy","display_name":"procedural accuracy","score":0.7889999747276306}],"concepts":[{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6403999924659729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5095999836921692},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.44200000166893005},{"id":"https://openalex.org/C190248442","wikidata":"https://www.wikidata.org/wiki/Q839486","display_name":"Qualitative research","level":2,"score":0.40610000491142273},{"id":"https://openalex.org/C87156501","wikidata":"https://www.wikidata.org/wiki/Q7268708","display_name":"Qualitative property","level":2,"score":0.36820000410079956},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.36800000071525574},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3668000102043152},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3587999939918518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34689998626708984},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.3465999960899353},{"id":"https://openalex.org/C66783780","wikidata":"https://www.wikidata.org/wiki/Q1166625","display_name":"Mathematical problem","level":2,"score":0.3296999931335449},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.310699999332428},{"id":"https://openalex.org/C133462117","wikidata":"https://www.wikidata.org/wiki/Q4929239","display_name":"Data collection","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.2892000079154968},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.28029999136924744},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27250000834465027},{"id":"https://openalex.org/C86761442","wikidata":"https://www.wikidata.org/wiki/Q6787879","display_name":"Matrix method","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C13606891","wikidata":"https://www.wikidata.org/wiki/Q2623243","display_name":"Conceptual model","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.25609999895095825},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.2554999887943268},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.2524999976158142}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37478/jupika.v9i1.7576","doi":"https://doi.org/10.37478/jupika.v9i1.7576","is_oa":true,"landing_page_url":"https://doi.org/10.37478/jupika.v9i1.7576","pdf_url":"https://e-journal.uniflor.ac.id/index.php/jupika/article/download/7576/3540","source":{"id":"https://openalex.org/S4210202812","display_name":"JUPIKA JURNAL PENDIDIKAN MATEMATIKA","issn_l":"2745-5483","issn":["2745-5483","2745-5491"],"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":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JUPIKA: JURNAL PENDIDIKAN MATEMATIKA","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37478/jupika.v9i1.7576","doi":"https://doi.org/10.37478/jupika.v9i1.7576","is_oa":true,"landing_page_url":"https://doi.org/10.37478/jupika.v9i1.7576","pdf_url":"https://e-journal.uniflor.ac.id/index.php/jupika/article/download/7576/3540","source":{"id":"https://openalex.org/S4210202812","display_name":"JUPIKA JURNAL PENDIDIKAN MATEMATIKA","issn_l":"2745-5483","issn":["2745-5483","2745-5491"],"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":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JUPIKA: JURNAL PENDIDIKAN MATEMATIKA","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Quality education","id":"https://metadata.un.org/sdg/4","score":0.8278999924659729}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204276193.pdf","grobid_xml":"https://content.openalex.org/works/W7204276193.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4390978609","https://openalex.org/W4387828642","https://openalex.org/W7221241907","https://openalex.org/W4390640107","https://openalex.org/W7125956567","https://openalex.org/W7221065272","https://openalex.org/W7219507560","https://openalex.org/W7219223151","https://openalex.org/W4402562615","https://openalex.org/W7136043276"],"abstract_inverted_index":{"This":[0,37],"study":[1,187],"aims":[2],"to":[3],"analyze":[4],"students\u2019":[5,42,191],"difficulties":[6,25,129,158,168],"in":[7,136,138,152,159,182],"solving":[8],"matrix":[9,47,140,194],"operation":[10],"problems":[11,164],"among":[12],"Grade":[13],"XI":[14],"MIA":[15],"2":[16],"students":[17,74,118],"at":[18],"MAN":[19],"4":[20],"Aceh":[21],"Besar.":[22],"The":[23,123,186],"identified":[24],"include":[26],"understanding":[27,128,163,192],"concepts,":[28,174],"using":[29,89,146,160],"mathematical":[30],"symbols,":[31],"comprehending":[32],"problems,":[33],"and":[34,57,85,87,92,101,113,145,148,162,180,203],"drawing":[35],"conclusions.":[36],"research":[38,76],"was":[39,70],"motivated":[40],"by":[41,115,171],"low":[43,121],"mastery":[44],"of":[45,59,96,176,193],"basic":[46,173],"operations":[48,195],"such":[49],"as":[50,75],"addition,":[51],"subtraction,":[52],"multiplication,":[53],"identity":[54],"matrices,":[55,61],"determinants,":[56],"inverses":[58],"2\u00d72":[60],"indicating":[62],"weak":[63,172],"conceptual":[64,127],"understanding.":[65],"A":[66],"qualitative":[67],"descriptive":[68],"approach":[69],"employed":[71],"with":[72,117],"27":[73],"subjects.":[77],"Data":[78],"were":[79,107,130,169],"collected":[80],"through":[81],"written":[82],"tests,":[83],"interviews,":[84],"documentation,":[86],"analyzed":[88,108],"the":[90,131],"Miles":[91],"Huberman":[93],"model,":[94],"consisting":[95],"data":[97,99],"reduction,":[98],"display,":[100],"conclusion":[102],"drawing.":[103],"Written":[104],"test":[105],"results":[106],"based":[109],"on":[110],"difficulty":[111],"indicators":[112],"supported":[114],"interviews":[116],"who":[119],"obtained":[120],"scores.":[122],"findings":[124],"show":[125],"that":[126,189,205],"most":[132],"dominant":[133],"(51.8%),":[134],"reflected":[135],"errors":[137],"determining":[139],"order,":[141],"applying":[142],"row\u2013column":[143],"operations,":[144],"determinant":[147],"inverse":[149],"formulas.":[150],"Errors":[151],"concluding":[153],"accounted":[154],"for":[155],"33.3%,":[156],"while":[157],"symbols":[161],"reached":[165],"29.6%.":[166],"These":[167],"caused":[170],"lack":[175],"accuracy,":[177],"limited":[178],"practice,":[179,202],"challenges":[181],"interpreting":[183],"word":[184],"problems.":[185],"concludes":[188],"improving":[190],"requires":[196],"student-centred":[197],"learning,":[198],"visual":[199],"media,":[200],"structured":[201],"guidance":[204],"emphasises":[206],"procedural":[207],"accuracy.":[208]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-08-27T00:00:00"}
