{"id":"https://openalex.org/W3215092129","doi":"https://doi.org/10.29103/mjml.v4i2.3905","title":"Analysis of students' thinking level in solving Pythagoras' theorem problems based on Van hiele's theory","display_name":"Analysis of students' thinking level in solving Pythagoras' theorem problems based on Van hiele's theory","publication_year":2021,"publication_date":"2021-10-30","ids":{"openalex":"https://openalex.org/W3215092129","doi":"https://doi.org/10.29103/mjml.v4i2.3905","mag":"3215092129"},"language":"en","primary_location":{"id":"doi:10.29103/mjml.v4i2.3905","doi":"https://doi.org/10.29103/mjml.v4i2.3905","is_oa":true,"landing_page_url":"https://doi.org/10.29103/mjml.v4i2.3905","pdf_url":"https://ojs.unimal.ac.id/mjml/article/download/3905/2911","source":{"id":"https://openalex.org/S4210208648","display_name":"Malikussaleh Journal of Mathematics Learning (MJML)","issn_l":"2620-6315","issn":["2620-6315","2620-6323"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4404669912","host_organization_name":"Malikussaleh University","host_organization_lineage":["https://openalex.org/P4404669912"],"host_organization_lineage_names":["Malikussaleh University"],"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":"Malikussaleh Journal of Mathematics Learning (MJML)","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W3215092129"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ojs.unimal.ac.id/mjml/article/download/3905/2911","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Sari Wulandari","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4387155291","display_name":"Universitas PGRI Palembang","ror":"https://ror.org/02ytfpp52","country_code":"ID","type":"education","lineage":["https://openalex.org/I4387155291"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Sari Wulandari","raw_affiliation_strings":["Department of Mathematics Education, Universitas PGRI Palembang, Palembang,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Universitas PGRI Palembang, Palembang,","institution_ids":["https://openalex.org/I4387155291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010512571","display_name":"Ali Syahbana","orcid":"https://orcid.org/0000-0001-7265-524X","observed_orcids":["https://orcid.org/0000-0001-7265-524X"]},"institutions":[{"id":"https://openalex.org/I4387155291","display_name":"Universitas PGRI Palembang","ror":"https://ror.org/02ytfpp52","country_code":"ID","type":"education","lineage":["https://openalex.org/I4387155291"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Ali Syahbana","raw_affiliation_strings":["Department of Mathematics Education, Universitas PGRI Palembang, Palembang,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Universitas PGRI Palembang, Palembang,","institution_ids":["https://openalex.org/I4387155291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027449270","display_name":"Tanzimah Tanzimah","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4387155291","display_name":"Universitas PGRI Palembang","ror":"https://ror.org/02ytfpp52","country_code":"ID","type":"education","lineage":["https://openalex.org/I4387155291"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Tanzimah Tanzimah","raw_affiliation_strings":["Department of Mathematics Education, Universitas PGRI Palembang, Palembang,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Universitas PGRI Palembang, Palembang,","institution_ids":["https://openalex.org/I4387155291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079289428","display_name":"Yilun Shang","orcid":"https://orcid.org/0000-0002-2817-3400","observed_orcids":["https://orcid.org/0000-0002-2817-3400"]},"institutions":[{"id":"https://openalex.org/I32394136","display_name":"Northumbria University","ror":"https://ror.org/049e6bc10","country_code":"GB","type":"education","lineage":["https://openalex.org/I32394136"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yilun Shang","raw_affiliation_strings":["Northumbria University, United of Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northumbria University, United of Kingdom","institution_ids":["https://openalex.org/I32394136"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077263629","display_name":"Robert Weinhandl","orcid":"https://orcid.org/0000-0002-5525-6404","observed_orcids":["https://orcid.org/0000-0002-5525-6404"]},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Robert Weinhandl","raw_affiliation_strings":["School of Education, STEM Education, Johannes Kepler University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Education, STEM Education, Johannes Kepler University","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018164500","display_name":"Rajinder Sharma","orcid":"https://orcid.org/0000-0001-5670-7249","observed_orcids":["https://orcid.org/0000-0001-5670-7249"]},"institutions":[{"id":"https://openalex.org/I4403386702","display_name":"University of Technology and Applied Sciences-Suhar","ror":"https://ror.org/018g8cj68","country_code":"OM","type":"education","lineage":["https://openalex.org/I4403386702","https://openalex.org/I4405258755"]},{"id":"https://openalex.org/I4405258755","display_name":"University of Technology and Applied Sciences","ror":"https://ror.org/0157tcg24","country_code":"OM","type":"education","lineage":["https://openalex.org/I4405258755"]}],"countries":["OM"],"is_corresponding":false,"raw_author_name":"Rajinder Sharma","raw_affiliation_strings":["University of Technology and Applied Sciences, Sohar, Oman"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Technology and Applied Sciences, Sohar, Oman","institution_ids":["https://openalex.org/I4403386702","https://openalex.org/I4405258755"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":85,"currency":"USD","value_usd":85},"apc_paid":{"value":85,"currency":"USD","value_usd":85},"fwci":2.2135,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88472268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"4","issue":"2","first_page":"124","last_page":"124"},"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/T12504","display_name":"Mathematics and Applications","score":9.999999747378752e-05,"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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":9.999999747378752e-05,"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/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.9240000247955322},{"id":"https://openalex.org/keywords/van-hiele-theory","display_name":"Van Hiele theory","score":0.9570000171661377},{"id":"https://openalex.org/keywords/levels-of-geometric-thinking","display_name":"levels of geometric thinking","score":0.7699999809265137},{"id":"https://openalex.org/keywords/mathematical-problem-solving","display_name":"mathematical problem solving","score":0.6890000104904175},{"id":"https://openalex.org/keywords/junior-high-school-students","display_name":"junior high school students","score":0.8289999961853027},{"id":"https://openalex.org/keywords/student-ability-differences","display_name":"student ability differences","score":0.6909999847412109},{"id":"https://openalex.org/keywords/visualization","display_name":"visualization","score":0.5619999766349792},{"id":"https://openalex.org/keywords/informal-deduction","display_name":"informal deduction","score":0.6830000281333923},{"id":"https://openalex.org/keywords/deduction","display_name":"deduction","score":0.5260000228881836}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.71717768907547},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.6534954309463501},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.5641667246818542},{"id":"https://openalex.org/C2985584371","wikidata":"https://www.wikidata.org/wiki/Q215121","display_name":"Data presentation","level":3,"score":0.47231149673461914},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.46057677268981934},{"id":"https://openalex.org/C56666940","wikidata":"https://www.wikidata.org/wiki/Q788790","display_name":"Documentation","level":2,"score":0.46054643392562866},{"id":"https://openalex.org/C133462117","wikidata":"https://www.wikidata.org/wiki/Q4929239","display_name":"Data collection","level":2,"score":0.36179208755493164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3499181568622589},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.3401573896408081},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33388087153434753},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2066715955734253},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09356129169464111},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08844780921936035},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.29103/mjml.v4i2.3905","doi":"https://doi.org/10.29103/mjml.v4i2.3905","is_oa":true,"landing_page_url":"https://doi.org/10.29103/mjml.v4i2.3905","pdf_url":"https://ojs.unimal.ac.id/mjml/article/download/3905/2911","source":{"id":"https://openalex.org/S4210208648","display_name":"Malikussaleh Journal of Mathematics Learning (MJML)","issn_l":"2620-6315","issn":["2620-6315","2620-6323"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4404669912","host_organization_name":"Malikussaleh University","host_organization_lineage":["https://openalex.org/P4404669912"],"host_organization_lineage_names":["Malikussaleh University"],"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":"Malikussaleh Journal of Mathematics Learning (MJML)","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e43c8d14469b42f8893642a43bc38ecf","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/e43c8d14469b42f8893642a43bc38ecf","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":"Malikussaleh Journal of Mathematics Learning, Vol 4, Iss 2, Pp 124-130 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.29103/mjml.v4i2.3905","doi":"https://doi.org/10.29103/mjml.v4i2.3905","is_oa":true,"landing_page_url":"https://doi.org/10.29103/mjml.v4i2.3905","pdf_url":"https://ojs.unimal.ac.id/mjml/article/download/3905/2911","source":{"id":"https://openalex.org/S4210208648","display_name":"Malikussaleh Journal of Mathematics Learning (MJML)","issn_l":"2620-6315","issn":["2620-6315","2620-6323"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":"https://openalex.org/P4404669912","host_organization_name":"Malikussaleh University","host_organization_lineage":["https://openalex.org/P4404669912"],"host_organization_lineage_names":["Malikussaleh University"],"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":"Malikussaleh Journal of Mathematics Learning (MJML)","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.9235000014305115,"display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3215092129.pdf","grobid_xml":"https://content.openalex.org/works/W3215092129.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W32859562","https://openalex.org/W1569913573","https://openalex.org/W1754747485","https://openalex.org/W2185611134","https://openalex.org/W2471496198","https://openalex.org/W2474030430","https://openalex.org/W2586693456","https://openalex.org/W2597084095","https://openalex.org/W2623427116","https://openalex.org/W2754041009","https://openalex.org/W2777551496","https://openalex.org/W2785133616","https://openalex.org/W2796166112","https://openalex.org/W2802275778","https://openalex.org/W2898812267","https://openalex.org/W2905462535","https://openalex.org/W2914558176","https://openalex.org/W2946228403","https://openalex.org/W2954557097","https://openalex.org/W2971359838","https://openalex.org/W2972045007","https://openalex.org/W2999015859","https://openalex.org/W2999959075","https://openalex.org/W3000386277","https://openalex.org/W3004591139","https://openalex.org/W3013829691","https://openalex.org/W3016073914","https://openalex.org/W3016222488","https://openalex.org/W3109730494","https://openalex.org/W3110234724","https://openalex.org/W3111050849","https://openalex.org/W3113287766","https://openalex.org/W3114902540","https://openalex.org/W3195020152","https://openalex.org/W3195122212","https://openalex.org/W3205198544","https://openalex.org/W3205886680","https://openalex.org/W3207274240","https://openalex.org/W3207731899","https://openalex.org/W4231817400"],"related_works":["https://openalex.org/W7089470185","https://openalex.org/W4409744735","https://openalex.org/W4289317969","https://openalex.org/W6931055531","https://openalex.org/W4409587058","https://openalex.org/W6979889275","https://openalex.org/W7124680102","https://openalex.org/W4393348867","https://openalex.org/W2905453402","https://openalex.org/W2968076257"],"abstract_inverted_index":{"The":[0,32,45,65,97,118],"aims":[1],"of":[2,10,12,47,53,56,129,144,161],"this":[3,37,48],"analysis":[4,38],"are":[5],"to":[6],"explain":[7],"the":[8,76],"level":[9,160],"thinking":[11],"grade":[13,54],"VIII":[14,55],"students":[15,52,67,123,140,156],"at":[16],"SMP":[17,57],"Negeri":[18,58],"1":[19,59],"Talang":[20,60],"Ubi":[21],"in":[22,36],"solving":[23],"Pythagorean":[24,77],"Theorem":[25,78],"questions":[26],"based":[27,70],"on":[28,71,75],"Van":[29,130,145,162],"Hiele's":[30,131,146,163],"theory.":[31],"research":[33,49],"approach":[34],"used":[35],"is":[39],"descriptive":[40],"qualitative":[41],"case":[42],"study":[43],"research.":[44],"subjects":[46],"were":[50,68],"three":[51,66,142],"Ubi,":[61],"South":[62],"Sumatera":[63],"Indonesia.":[64],"chosen":[69],"their":[72],"test":[73],"answers":[74],"material,":[79],"with":[80],"one":[81,86,92,159],"being":[82,87,93],"a":[83,88,94],"high-ability":[84,122],"student,":[85,90],"medium-ability":[89],"and":[91,105,116,137,151],"low-ability":[95,155],"student.":[96],"study's":[98],"data":[99,109,112,114],"collection":[100],"techniques":[101],"included":[102],"assessments,":[103],"interviews,":[104],"documentation.":[106],"Techniques":[107],"for":[108],"processing":[110],"include":[111],"reduction,":[113],"presentation,":[115],"conclusion.":[117],"findings":[119],"revealed":[120],"that":[121],"could":[124],"complete":[125],"all":[126],"four":[127],"stages":[128],"thinking:":[132],"imagination,":[133],"interpretation,":[134],"informal":[135,152],"deduction,":[136,153],"deduction.":[138],"Moderate":[139],"achieved":[141,157],"levels":[143],"thinking,":[147,164],"including":[148],"visualization,":[149],"analysis,":[150],"while":[154],"only":[158],"visualization.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-12-06T00:00:00"}
