{"id":"https://openalex.org/W3133599543","doi":"https://doi.org/10.1063/5.0043409","title":"The abstract thinking ability of mathematics education undergraduate students in doing proving or disproving problems","display_name":"The abstract thinking ability of mathematics education undergraduate students in doing proving or disproving problems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3133599543","doi":"https://doi.org/10.1063/5.0043409","mag":"3133599543"},"language":"en","primary_location":{"id":"doi:10.1063/5.0043409","doi":"https://doi.org/10.1063/5.0043409","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0043409","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5108299943","display_name":"Santi Irawati","orcid":"https://orcid.org/0000-0003-0516-6723","observed_orcids":["https://orcid.org/0000-0003-0516-6723"]},"institutions":[{"id":"https://openalex.org/I102893293","display_name":"State University of Malang","ror":"https://ror.org/00ypgyy34","country_code":"ID","type":"education","lineage":["https://openalex.org/I102893293"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"Santi Irawati","raw_affiliation_strings":["Mathematics Department, State University of Malang, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, State University of Malang, Malang, Indonesia","institution_ids":["https://openalex.org/I102893293"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066306321","display_name":"Indriati Nurul Hidayah","orcid":"https://orcid.org/0000-0002-4140-0356","observed_orcids":["https://orcid.org/0000-0002-4140-0356"]},"institutions":[{"id":"https://openalex.org/I102893293","display_name":"State University of Malang","ror":"https://ror.org/00ypgyy34","country_code":"ID","type":"education","lineage":["https://openalex.org/I102893293"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Indriati Nurul Hidayah","raw_affiliation_strings":["Mathematics Department, State University of Malang, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, State University of Malang, Malang, Indonesia","institution_ids":["https://openalex.org/I102893293"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042806459","display_name":"Makbul Muksar","orcid":"https://orcid.org/0000-0002-5829-8650","observed_orcids":["https://orcid.org/0000-0002-5829-8650"]},"institutions":[{"id":"https://openalex.org/I102893293","display_name":"State University of Malang","ror":"https://ror.org/00ypgyy34","country_code":"ID","type":"education","lineage":["https://openalex.org/I102893293"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Makbul Muksar","raw_affiliation_strings":["Mathematics Department, State University of Malang, Malang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, State University of Malang, Malang, Indonesia","institution_ids":["https://openalex.org/I102893293"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108299943"],"corresponding_institution_ids":["https://openalex.org/I102893293"],"apc_list":null,"apc_paid":null,"fwci":1.4443,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79176889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"2330","issue":null,"first_page":"040039","last_page":"040039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.9970999956130981,"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":0.9970999956130981,"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/T14079","display_name":"Mathematics Education and Programs","score":0.001500000013038516,"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":0.0005000000237487257,"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/abstract-thinking-ability","display_name":"abstract thinking ability","score":0.9800000190734863},{"id":"https://openalex.org/keywords/reflective-abstraction","display_name":"reflective abstraction","score":0.7419999837875366},{"id":"https://openalex.org/keywords/algebraic-structures","display_name":"algebraic structures","score":0.39899998903274536},{"id":"https://openalex.org/keywords/deductive-reasoning","display_name":"deductive reasoning","score":0.7820000052452087}],"concepts":[{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.8502867221832275},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.751167893409729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5379043817520142},{"id":"https://openalex.org/C199033989","wikidata":"https://www.wikidata.org/wiki/Q1318295","display_name":"Narrative","level":2,"score":0.5338104367256165},{"id":"https://openalex.org/C2986255434","wikidata":"https://www.wikidata.org/wiki/Q131805","display_name":"Reflective thinking","level":2,"score":0.5035125613212585},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4414900541305542},{"id":"https://openalex.org/C533356498","wikidata":"https://www.wikidata.org/wiki/Q843894","display_name":"Critical thinking","level":2,"score":0.4387262463569641},{"id":"https://openalex.org/C120936955","wikidata":"https://www.wikidata.org/wiki/Q2155640","display_name":"Empirical research","level":2,"score":0.4161277711391449},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.2174423336982727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18823829293251038},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.1703772246837616},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11132875084877014},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/5.0043409","doi":"https://doi.org/10.1063/5.0043409","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0043409","pdf_url":null,"source":{"id":"https://openalex.org/S2764696622","display_name":"AIP conference proceedings","issn_l":"0094-243X","issn":["0094-243X","1551-7616","1935-0465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIP Conference Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.9235000014305115}],"study_designs":[{"id":"https://openalex.org/study-designs/observational-study","display_name":"Observational Study"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1966657029","https://openalex.org/W2070652929","https://openalex.org/W2073429402","https://openalex.org/W2151246316","https://openalex.org/W2230334499","https://openalex.org/W2621211750","https://openalex.org/W6798944278"],"related_works":["https://openalex.org/W4224098503","https://openalex.org/W4385842872","https://openalex.org/W3038555712","https://openalex.org/W4408637972","https://openalex.org/W3185447057","https://openalex.org/W3011642319","https://openalex.org/W6987862979","https://openalex.org/W2763464819","https://openalex.org/W7219002994","https://openalex.org/W4398188684"],"abstract_inverted_index":{"The":[0,98],"learning":[1,12],"process":[2],"in":[3,23,27,46,102,115,123,129,140],"university":[4,28],"is":[5,38],"different":[6],"from":[7,94],"high":[8,47,113],"school,":[9],"especially":[10],"mathematics":[11,25,77,108],"which":[13,37,57,74,81],"needs":[14],"abstract":[15,54,117,125,145],"thinking":[16,55,118,126,146],"patterns":[17],"with":[18],"various":[19],"deductively":[20],"argumentations.":[21],"Moreover,":[22],"general,":[24],"problems":[26,132],"level":[29],"requires":[30],"solutions":[31],"such":[32],"as":[33],"proving":[34,131],"or":[35],"disproving":[36,104],"rarely":[39],"faced":[40],"by":[41],"students":[42,80,111,136],"when":[43],"they":[44],"learned":[45],"school.":[48],"This":[49,67],"study":[50,68],"aimed":[51],"to":[52],"describe":[53],"ability":[56,119],"consisted":[58],"of":[59,85,107,134],"reflective":[60,116,142],"abstraction,":[61,63],"empirical":[62,124],"and":[64,89,143],"theoretical":[65,144],"abstraction.":[66],"used":[69],"a":[70],"narrative":[71],"descriptive":[72],"approach":[73],"involved":[75],"22":[76],"education":[78,109],"undergraduate":[79,110],"took":[82],"the":[83,90],"course":[84],"Algebra":[86],"Structure":[87],"I":[88],"data":[91],"were":[92],"obtained":[93],"two":[95],"essay":[96],"tests.":[97],"results":[99],"found":[100],"that":[101],"doing":[103,130],"problem":[105],"mostly":[106,133],"showed":[112,137],"performance":[114,122,139],"but":[120],"low":[121,138],"ability,":[127],"while":[128],"these":[135],"both":[141],"ability.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-03-15T00:00:00"}