{"id":"https://openalex.org/W2995306002","doi":"https://doi.org/10.24252/mapan.2019v7n2a4","title":"TEORI PIRIE-KIEREN: LAPISAN PEMAHAMAN SISWA SMP BERKEMAMPUAN MATEMATIKA TINGGI DALAM MENYELESAIKAN SOAL BANGUN RUANG","display_name":"TEORI PIRIE-KIEREN: LAPISAN PEMAHAMAN SISWA SMP BERKEMAMPUAN MATEMATIKA TINGGI DALAM MENYELESAIKAN SOAL BANGUN RUANG","publication_year":2019,"publication_date":"2019-12-15","ids":{"openalex":"https://openalex.org/W2995306002","doi":"https://doi.org/10.24252/mapan.2019v7n2a4","mag":"2995306002"},"language":"id","primary_location":{"id":"doi:10.24252/mapan.2019v7n2a4","doi":"https://doi.org/10.24252/mapan.2019v7n2a4","is_oa":true,"landing_page_url":"https://doi.org/10.24252/mapan.2019v7n2a4","pdf_url":"http://journal.uin-alauddin.ac.id/index.php/Mapan/article/download/211-228/pdf","source":{"id":"https://openalex.org/S4210208816","display_name":"MaPan","issn_l":"2354-6883","issn":["2354-6883","2581-172X"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310315041","host_organization_name":"Alauddin Islamic State University","host_organization_lineage":["https://openalex.org/P4310315041"],"host_organization_lineage_names":["Alauddin Islamic State University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MaPan","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://journal.uin-alauddin.ac.id/index.php/Mapan/article/download/211-228/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"STKIP PGRI Tulungagung","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"STKIP PGRI Tulungagung","raw_affiliation_strings":["STKIP PGRI Tulungagung"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"STKIP PGRI Tulungagung","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031263464","display_name":"Suindayati Suindayati","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Suindayati Suindayati","raw_affiliation_strings":["STKIP PGRI Tulungagung"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"STKIP PGRI Tulungagung","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071750724","display_name":"Dian Septi Nur Afifah","orcid":"https://orcid.org/0000-0001-6211-0465","observed_orcids":["https://orcid.org/0000-0001-6211-0465"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dian Septi Nur Afifah","raw_affiliation_strings":["STKIP PGRI Tulungagung"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"STKIP PGRI Tulungagung","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075671041","display_name":"Imam Sukwatus Suja\u2019i","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Imam Sukwatus Suja\u2019i","raw_affiliation_strings":["STKIP PGRI Tulungagung"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"STKIP PGRI Tulungagung","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3271,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58600177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":"2","first_page":"211","last_page":"228"},"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/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":0.9970999956130981,"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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.0017999999690800905,"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/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.0003000000142492354,"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/levels-of-understanding","display_name":"levels of understanding","score":0.8859999775886536},{"id":"https://openalex.org/keywords/high-achieving-students","display_name":"high-achieving students","score":0.6940000057220459},{"id":"https://openalex.org/keywords/solid-geometry","display_name":"solid geometry","score":0.4729999899864197},{"id":"https://openalex.org/keywords/middle-school-mathematics","display_name":"junior high school mathematics","score":0.7839999794960022},{"id":"https://openalex.org/keywords/image-making","display_name":"image-making","score":0.8539999723434448},{"id":"https://openalex.org/keywords/observation","display_name":"observation","score":0.5529999732971191},{"id":"https://openalex.org/keywords/structuring","display_name":"structuring","score":0.9940000176429749},{"id":"https://openalex.org/keywords/peer-tutoring","display_name":"peer tutoring","score":0.8360000252723694},{"id":"https://openalex.org/keywords/mathematical-ability","display_name":"mathematical ability","score":0.46000000834465027},{"id":"https://openalex.org/keywords/assessment-of-student-understanding","display_name":"student understanding assessment","score":0.4580000042915344}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.42260563373565674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41479790210723877},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.4071384072303772},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.39538997411727905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2960813045501709}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.24252/mapan.2019v7n2a4","doi":"https://doi.org/10.24252/mapan.2019v7n2a4","is_oa":true,"landing_page_url":"https://doi.org/10.24252/mapan.2019v7n2a4","pdf_url":"http://journal.uin-alauddin.ac.id/index.php/Mapan/article/download/211-228/pdf","source":{"id":"https://openalex.org/S4210208816","display_name":"MaPan","issn_l":"2354-6883","issn":["2354-6883","2581-172X"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310315041","host_organization_name":"Alauddin Islamic State University","host_organization_lineage":["https://openalex.org/P4310315041"],"host_organization_lineage_names":["Alauddin Islamic State University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MaPan","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:72029b273185453db7743cf8b1670432","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/72029b273185453db7743cf8b1670432","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":"MaPan: Jurnal Matematika dan Pembelajaran, Vol 7, Iss 2, Pp 211-228 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.24252/mapan.2019v7n2a4","doi":"https://doi.org/10.24252/mapan.2019v7n2a4","is_oa":true,"landing_page_url":"https://doi.org/10.24252/mapan.2019v7n2a4","pdf_url":"http://journal.uin-alauddin.ac.id/index.php/Mapan/article/download/211-228/pdf","source":{"id":"https://openalex.org/S4210208816","display_name":"MaPan","issn_l":"2354-6883","issn":["2354-6883","2581-172X"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4310315041","host_organization_name":"Alauddin Islamic State University","host_organization_lineage":["https://openalex.org/P4310315041"],"host_organization_lineage_names":["Alauddin Islamic State University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MaPan","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.975600004196167,"display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2995306002.pdf","grobid_xml":"https://content.openalex.org/works/W2995306002.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W2569294635","https://openalex.org/W2607805202","https://openalex.org/W2788467184","https://openalex.org/W2900319158","https://openalex.org/W4229947660"],"related_works":["https://openalex.org/W3020570194","https://openalex.org/W2998778939","https://openalex.org/W6986605530","https://openalex.org/W4385617376","https://openalex.org/W4387029296","https://openalex.org/W3135070392","https://openalex.org/W2946856456","https://openalex.org/W4391184359","https://openalex.org/W7048613089","https://openalex.org/W7216970100"],"abstract_inverted_index":{"Abstrak:":[0],"Lapisan":[1],"pemahaman":[2,9,21,39,129,169],"memiliki":[3],"peranan":[4],"penting":[5],"dalam":[6,11,20,46,81,91,159,171],"mengukur":[7],"tingkat":[8,16],"siswa":[10,28,40,170],"belajar":[12,23],"dan":[13,24,31,86,96,106,121,154],"berpikir,":[14],"sedangkan":[15],"kemampuan":[17,104],"matematika":[18,44,76,105],"memudahkan":[19],"sehingga":[22],"berpikir":[25],"dilakukan":[26,112],"oleh":[27],"menjadi":[29],"efektif":[30],"efisien.":[32],"Tujuan":[33],"penelitian":[34,56,82,92,124],"adalah":[35,58,84,94],"untuk":[36,167],"mendeskripsikan":[37],"lapisan":[38,108,128,138,141],"SMP":[41,64,257],"yang":[42,74,89,131],"berkemampuan":[43,75,132],"tinggi":[45,133],"menyelesaikan":[47],"soal":[48],"bangun":[49],"ruang":[50],"berdasarkan":[51],"teori":[52],"Pirie":[53,239],"Kieren.":[54],"Jenis":[55],"ini":[57,83,93,125],"deskriptif":[59],"kualitatif.":[60],"Penelitian":[61],"dilaksanakan":[62],"di":[63,68,161,173],"Negeri":[65,258],"2":[66,259],"Bakung":[67,260],"kelas":[69,162],"VIIIA":[70],"dengan":[71,113],"memilih":[72],"subjek":[73,130],"tinggi.":[77],"Teknik":[78],"pengumpulan":[79],"data":[80,111,296,303,305],"tes":[85,95,99,103,107],"wawancara.":[87,98],"Instrumen":[88],"digunakan":[90],"pedoman":[97],"ada":[100],"dua":[101],"yaitu":[102,116,140],"pemahaman.":[109],"Analisis":[110],"tiga":[114],"tahapan":[115],"reduksi":[117],"data,":[118,120],"penyajian":[119],"kesimpulan.":[122],"Hasil":[123],"menunjukkan":[126],"bahwa":[127],"mampu":[134],"memenuhi":[135],"semua":[136],"indikator":[137],"pemahaman,":[139],"primitive":[142,337],"knowing,":[143,338],"image":[144,146,339,341],"making,":[145,340],"having,":[147,342],"property":[148,343],"noticing,":[149,344],"formalizing,":[150,345],"observing,":[151,346],"structuring":[152],",":[153],"inventisin":[155],"g.":[156],"Selanjutnya":[157],"diharapkan":[158],"pembelajaran":[160,172],"dapat":[163],"menggunakan":[164],"tutor":[165],"sebaya":[166],"mengetahui":[168],"kelas.":[174],"Abstract":[175],"Level":[176],"of":[177,195,215,224,256,283,311,319,321,331],"understanding":[178,187,201,222,292,320,333,361],"has":[179],"an":[180],"important":[181],"role":[182],"in":[183,188,200,233,251,271,299,365],"measuring":[184],"the":[185,193,204,221,252,286,291,316,322,329,332,336,359],"students\u2019":[186,205,360],"learning":[189,208,367],"and":[190,207,211,276,290,307,348],"thinking,":[191],"while":[192],"level":[194,223,293],"mathematical":[196,231,266],"difficulties":[197],"makes":[198],"easier":[199],"so":[202],"that":[203,315,354],"thinking":[206],"become":[209],"effective":[210],"efficient.":[212],"The":[213,242,268,295,309],"purpose":[214],"this":[216,272,312],"study":[217,273,313],"was":[218,244,249,297,352],"to":[219,326,357],"describe":[220],"junior":[225],"high":[226,230,265,317],"school":[227],"students":[228,255,323],"with":[229,264],"abilities":[232],"solving":[234],"geometrical":[235],"problems":[236],"based":[237],"on":[238],"Kieren's":[240],"theory.":[241],"method":[243],"descriptive":[245],"qualitative":[246],"research":[247],"which":[248],"conducted":[250],"8th":[253],"grade":[254],"by":[261],"selecting":[262],"subjects":[263],"ability.":[267],"instruments":[269],"used":[270,364],"were":[274,280,324],"tests":[275],"interview":[277],"guidelines.":[278],"There":[279],"two":[281],"kind":[282],"tests,":[284],"namely":[285,302,335],"mathematics":[287],"ability":[288],"test":[289],"test.":[294],"analyzed":[298],"three":[300],"stages,":[301],"reduction,":[304],"presentation,":[306],"conclusion.":[308],"results":[310],"indicated":[314],"levels":[318],"able":[325],"fulfill":[327],"all":[328],"indicators":[330],"levels,":[334],"structuring,":[347],"inventorying.":[349],"Furthermore,":[350],"it":[351],"expected":[353],"peer":[355],"tutors":[356],"know":[358],"could":[362],"be":[363],"classroom":[366]},"counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2019-12-26T00:00:00"}