{"id":"https://openalex.org/W4381733362","doi":"https://doi.org/10.31764/jtam.v7i1.11528","title":"Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level","display_name":"Students' Intuitive Thinking Process in Solving Geometry Tasks from the Van Hiele Level","publication_year":2023,"publication_date":"2023-01-12","ids":{"openalex":"https://openalex.org/W4381733362","doi":"https://doi.org/10.31764/jtam.v7i1.11528"},"language":"en","primary_location":{"id":"doi:10.31764/jtam.v7i1.11528","doi":"https://doi.org/10.31764/jtam.v7i1.11528","is_oa":true,"landing_page_url":"https://doi.org/10.31764/jtam.v7i1.11528","pdf_url":"http://journal.ummat.ac.id/index.php/jtam/article/download/11528/pdf","source":{"id":"https://openalex.org/S4210193939","display_name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","issn_l":"2597-7512","issn":["2597-7512","2614-1175"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4404661807","host_organization_name":"Muhammadiyah University of Mataram","host_organization_lineage":["https://openalex.org/P4404661807"],"host_organization_lineage_names":["Muhammadiyah University of Mataram"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://journal.ummat.ac.id/index.php/jtam/article/download/11528/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037187222","display_name":"Dwi Priyo Utomo","orcid":"https://orcid.org/0000-0002-8284-5159","observed_orcids":["https://orcid.org/0000-0002-8284-5159","https://orcid.org/0000-0002-2741-6773","https://orcid.org/0000-0002-9925-7222"]},"institutions":[{"id":"https://openalex.org/I4210105059","display_name":"Universitas Muhammadiyah Malang","ror":"https://ror.org/01j1wt659","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210105059"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Dwi Priyo Utomo","raw_affiliation_strings":["Mathematics Education, University of Muhammadiyah Malang East Java"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Education, University of Muhammadiyah Malang East Java","institution_ids":["https://openalex.org/I4210105059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042490602","display_name":"Tuti Zahrotul Amaliyah","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210105059","display_name":"Universitas Muhammadiyah Malang","ror":"https://ror.org/01j1wt659","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210105059"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Tuti Zahrotul Amaliyah","raw_affiliation_strings":["Mathematics Education, University of Muhammadiyah Malang East Java"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Education, University of Muhammadiyah Malang East Java","institution_ids":["https://openalex.org/I4210105059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048822798","display_name":"Rani Darmayanti","orcid":"https://orcid.org/0000-0001-6318-5370","observed_orcids":["https://orcid.org/0000-0001-6318-5370","https://orcid.org/0009-0002-0139-9335"]},"institutions":[{"id":"https://openalex.org/I4210105059","display_name":"Universitas Muhammadiyah Malang","ror":"https://ror.org/01j1wt659","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210105059"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Rani Darmayanti","raw_affiliation_strings":["Mathematics Education, University of Muhammadiyah Malang East Java"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Education, University of Muhammadiyah Malang East Java","institution_ids":["https://openalex.org/I4210105059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039393614","display_name":"Usmiyatun Usmiyatun","orcid":"https://orcid.org/0000-0001-8687-446X","observed_orcids":["https://orcid.org/0000-0001-8687-446X"]},"institutions":[{"id":"https://openalex.org/I4210105059","display_name":"Universitas Muhammadiyah Malang","ror":"https://ror.org/01j1wt659","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210105059"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Usmiyatun Usmiyatun","raw_affiliation_strings":["Mathematics Education, University of Muhammadiyah Malang East Java"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Education, University of Muhammadiyah Malang East Java","institution_ids":["https://openalex.org/I4210105059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012544208","display_name":"Choirudin Choirudin","orcid":"https://orcid.org/0000-0001-8153-5426","observed_orcids":["https://orcid.org/0000-0001-8153-5426"]},"institutions":[{"id":"https://openalex.org/I4405275942","display_name":"Universitas Ma'arif Lampung","ror":"https://ror.org/04k07kj66","country_code":"ID","type":"education","lineage":["https://openalex.org/I4405275942"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Choirudin Choirudin","raw_affiliation_strings":["Mathematics Education, Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Education, Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung","institution_ids":["https://openalex.org/I4405275942"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":100,"currency":"USD","value_usd":100},"apc_paid":{"value":100,"currency":"USD","value_usd":100},"fwci":5.5132,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.96654927,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"7","issue":"1","first_page":"139","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":1.0,"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":1.0,"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/T12504","display_name":"Mathematics and Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/intuitive-thinking","display_name":"intuitive thinking","score":0.9769999980926514},{"id":"https://openalex.org/keywords/van-hiele-theory","display_name":"Van Hiele theory","score":0.8159999847412109},{"id":"https://openalex.org/keywords/geometry-problem-solving","display_name":"geometry problem solving","score":0.9430000185966492},{"id":"https://openalex.org/keywords/commonsense-reasoning","display_name":"commonsense reasoning","score":0.7850000262260437},{"id":"https://openalex.org/keywords/levels-of-analysis","display_name":"levels of analysis","score":0.8939999938011169},{"id":"https://openalex.org/keywords/geometry-teaching","display_name":"geometry teaching","score":0.5090000033378601},{"id":"https://openalex.org/keywords/junior-high-school-students","display_name":"junior high school students","score":0.8209999799728394},{"id":"https://openalex.org/keywords/madrasah-tsanawiyah","display_name":"madrasah tsanawiyah","score":0.8799999952316284}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5770689845085144},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5334022045135498},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5195253491401672},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.5071086883544922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.500103235244751},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.28703227639198303},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27582505345344543},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.31764/jtam.v7i1.11528","doi":"https://doi.org/10.31764/jtam.v7i1.11528","is_oa":true,"landing_page_url":"https://doi.org/10.31764/jtam.v7i1.11528","pdf_url":"http://journal.ummat.ac.id/index.php/jtam/article/download/11528/pdf","source":{"id":"https://openalex.org/S4210193939","display_name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","issn_l":"2597-7512","issn":["2597-7512","2614-1175"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4404661807","host_organization_name":"Muhammadiyah University of Mataram","host_organization_lineage":["https://openalex.org/P4404661807"],"host_organization_lineage_names":["Muhammadiyah University of Mataram"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:302130dd5b5244a6825835539ff568fb","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/302130dd5b5244a6825835539ff568fb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JTAM (Jurnal Teori dan Aplikasi Matematika), Vol 7, Iss 1, Pp 139-149 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.31764/jtam.v7i1.11528","doi":"https://doi.org/10.31764/jtam.v7i1.11528","is_oa":true,"landing_page_url":"https://doi.org/10.31764/jtam.v7i1.11528","pdf_url":"http://journal.ummat.ac.id/index.php/jtam/article/download/11528/pdf","source":{"id":"https://openalex.org/S4210193939","display_name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","issn_l":"2597-7512","issn":["2597-7512","2614-1175"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4404661807","host_organization_name":"Muhammadiyah University of Mataram","host_organization_lineage":["https://openalex.org/P4404661807"],"host_organization_lineage_names":["Muhammadiyah University of Mataram"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"JTAM (Jurnal Teori dan Aplikasi Matematika)","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.9235000014305115}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4381733362.pdf","grobid_xml":"https://content.openalex.org/works/W4381733362.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1569913573","https://openalex.org/W1965386289","https://openalex.org/W2088769580","https://openalex.org/W2098340607","https://openalex.org/W2484437428","https://openalex.org/W2550428786","https://openalex.org/W2572857180","https://openalex.org/W2789025495","https://openalex.org/W2795645446","https://openalex.org/W2811358263","https://openalex.org/W2895693902","https://openalex.org/W2898812267","https://openalex.org/W3010445050","https://openalex.org/W3031732433","https://openalex.org/W3090805259","https://openalex.org/W3131578273","https://openalex.org/W3134326895","https://openalex.org/W4213122567","https://openalex.org/W4284696901","https://openalex.org/W4296640587","https://openalex.org/W4300773878"],"related_works":["https://openalex.org/W4392173582","https://openalex.org/W4307708486","https://openalex.org/W2738052685","https://openalex.org/W2939050267","https://openalex.org/W2940167924","https://openalex.org/W2987953974","https://openalex.org/W4206738035","https://openalex.org/W4402600358","https://openalex.org/W4313586357","https://openalex.org/W3138973937"],"abstract_inverted_index":{"Thinking":[0],"is":[1,37,51],"a":[2],"cognitive":[3],"way":[4],"of":[5,45,53,74,91,98,159,226,293],"generating":[6],"ideas":[7],"for":[8],"problem-solving":[9],"decision-making":[10],"strategies.":[11],"This":[12],"study":[13,100],"aims":[14],"to":[15,70,149,214,230,281,297],"analyze":[16],"and":[17,82,89,94,113,126,130,144,154,166,186,209,219,233,253,276,286,300],"describe":[18],"intuitive":[19],"thinking":[20],"processes":[21],"in":[22,57,115,182,196,223,249,263,290,317],"solving":[23],"students'":[24],"mathematical":[25,151],"assignments":[26],"about":[27],"geometry":[28,77,92],"based":[29],"on":[30,169,236,303],"Van":[31,170,237,305],"Hiele's":[32,171,238],"theory.":[33],"The":[34,40,48,84,96],"method":[35],"used":[36],"descriptive":[38],"qualitative.":[39],"research":[41,49],"subjects":[42],"were":[43],"students":[44,103,134,173,187,240,254,308],"class":[46],"VIIIA.":[47],"location":[50],"one":[52],"the":[54,67,72,75,117,147,157,212,224,279,291,304],"Madrasah":[55],"Tsanawiyah":[56],"Pasuruan":[58],"Regency.":[59],"Credibility":[60],"uses":[61],"source":[62],"data":[63],"collection":[64],"techniques":[65],"using":[66,123,146],"VHGT":[68],"test":[69],"determine":[71],"level":[73,183,197,250,264,318],"subject,":[76],"problem":[78],"tests,":[79],"document":[80],"studies,":[81],"interviews.":[83,95],"main":[85],"instruments":[86],"are":[87,110,141,180,194,247,261,315],"researchers":[88],"supporters":[90],"tests":[93],"results":[97],"this":[99],"indicate":[101],"that":[102],"who":[104,135,174,188,201,241,255,268,309],"think":[105,136,175,189,202,242,256,269,310],"intuitively":[106,127,137,176,190,203,221,243,257,270,288,311],"through":[107],"catalytic":[108,178,245,313],"inference":[109,179,246,314],"obtained":[111,142],"spontaneously":[112],"suddenly":[114],"completing":[116,160,227,294],"math":[118,216,283],"tasks":[119,152,161,217,228,284,295],"they":[120],"face":[121],"without":[122],"prior":[124],"knowledge,":[125],"appear":[128],"globally":[129],"use":[131,211,278],"shortcuts.":[132],"Whereas":[133],"with":[138,177,191,204,244,258,271,312],"common":[139,192,205,259,272],"sense":[140,193,206,260,273],"directly":[143,145,208,275],"steps":[148,213,280],"complete":[150,215,282],"neatly":[153,218,285],"neatly,":[155,220,287],"intuitively,":[156],"sequence":[158,225,292],"appears":[162],"by":[163],"their":[164,231,298],"experience":[165,232,299],"knowledge.":[167,234,301],"Based":[168,235,302],"level,":[172,239,307],"included":[181,195,248,262,316],"0":[184,251,319],"(visualization),":[185,252],"1":[198,265],"(analysis).":[199,266],"Students":[200,267],"can":[207,274],"immediately":[210,277],"appearing":[222,289],"according":[229,296],"Hiele":[306],"(visualization).":[320]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-06-24T00:00:00"}
