{"id":"https://openalex.org/W2903481997","doi":null,"title":"Middle School Students\u2019 Interpretation of Definitions of the Parallelogram Family: Which Definition for Which Parallelogram?","display_name":"Middle School Students\u2019 Interpretation of Definitions of the Parallelogram Family: Which Definition for Which Parallelogram?","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2903481997","mag":"2903481997"},"language":"en","primary_location":{"id":"pmh:oai:dergipark.gov.tr:article/506334","doi":null,"is_oa":false,"landing_page_url":"http://dergipark.gov.tr/ijres/issue/42036/506334","pdf_url":null,"source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\\n Volume: 5, Issue: 1\\n 157-175\\n \\n","raw_type":"info:eu-repo/semantics/article"},"parent_works":[],"lineage":["https://openalex.org/W2903481997"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://files.eric.ed.gov/fulltext/EJ1198047.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077369768","display_name":"Nil\u00fcfer Yavuzsoy K\u00f6se","orcid":"https://orcid.org/0000-0001-7407-7498","observed_orcids":["https://orcid.org/0000-0001-7407-7498"]},"institutions":[{"id":"https://openalex.org/I133743585","display_name":"Anadolu University","ror":"https://ror.org/05nz37n09","country_code":"TR","type":"education","lineage":["https://openalex.org/I133743585"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Nil\u00fcfer Yavuzsoy K\u00f6se","raw_affiliation_strings":["Anadolu \u00dcniversity"],"raw_orcid":"https://orcid.org/0000-0001-7407-7498","affiliations":[{"raw_affiliation_string":"Anadolu \u00dcniversity","institution_ids":["https://openalex.org/I133743585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091481810","display_name":"Tu\u011fba YILMAZ","orcid":"https://orcid.org/0000-0003-1846-1350","observed_orcids":["https://orcid.org/0000-0003-1846-1350"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tu\u011fba YILMAZ","raw_affiliation_strings":["Ministry of National Education"],"raw_orcid":"https://orcid.org/0000-0003-1846-1350","affiliations":[{"raw_affiliation_string":"Ministry of National Education","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081467054","display_name":"Demet Yesil","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Demet Yesil","raw_affiliation_strings":["Ministry of National Education"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ministry of National Education","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043509785","display_name":"Duygu YILDIRIM","orcid":"https://orcid.org/0000-0002-0736-243X","observed_orcids":["https://orcid.org/0000-0002-0736-243X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Duygu YILDIRIM","raw_affiliation_strings":["Ministry of National Education"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ministry of National Education","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2447,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.91706,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"5","issue":"1","first_page":"157","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.7368000149726868,"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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.7368000149726868,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.20080000162124634,"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":0.030799999833106995,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quadrilaterals","display_name":"quadrilaterals","score":0.8500000238418579},{"id":"https://openalex.org/keywords/rectangles","display_name":"rectangles","score":0.7009999752044678},{"id":"https://openalex.org/keywords/rhombus","display_name":"rhombus","score":1.0},{"id":"https://openalex.org/keywords/squares","display_name":"squares","score":0.9490000009536743},{"id":"https://openalex.org/keywords/prototype-images","display_name":"prototype images","score":0.44999998807907104},{"id":"https://openalex.org/keywords/geometric-reasoning","display_name":"geometric reasoning","score":0.5870000123977661},{"id":"https://openalex.org/keywords/eighth-grade-students","display_name":"eighth grade students","score":0.7739999890327454},{"id":"https://openalex.org/keywords/geometry-learning-difficulties","display_name":"geometry learning difficulties","score":0.46299999952316284},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"rotational symmetry","score":0.6600000262260437},{"id":"https://openalex.org/keywords/perpendicular-bisector","display_name":"perpendicular bisector","score":0.7760000228881836}],"concepts":[{"id":"https://openalex.org/C53118041","wikidata":"https://www.wikidata.org/wiki/Q45867","display_name":"Parallelogram","level":3,"score":0.968058705329895},{"id":"https://openalex.org/C161903591","wikidata":"https://www.wikidata.org/wiki/Q41159","display_name":"Rhombus","level":2,"score":0.836112380027771},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.7696067094802856},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.6824129819869995},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5852775573730469},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5326375961303711},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.5313765406608582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45408207178115845},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37333905696868896},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3235090970993042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2462870180606842},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17992910742759705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11272791028022766},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:dergipark.gov.tr:article/506334","doi":null,"is_oa":false,"landing_page_url":"http://dergipark.gov.tr/ijres/issue/42036/506334","pdf_url":null,"source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\\n Volume: 5, Issue: 1\\n 157-175\\n \\n","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:2903481997","doi":null,"is_oa":true,"landing_page_url":"http://files.eric.ed.gov/fulltext/EJ1198047.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764850576","display_name":"International Journal of Research in Education and Science","issn_l":"2148-9955","issn":["2148-9955"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","norway-1","poland-20","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Research in Education and Science","raw_type":null}],"best_oa_location":{"id":"mag:2903481997","doi":null,"is_oa":true,"landing_page_url":"http://files.eric.ed.gov/fulltext/EJ1198047.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764850576","display_name":"International Journal of Research in Education and Science","issn_l":"2148-9955","issn":["2148-9955"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","norway-1","poland-20","vabb-shw"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Research in Education and Science","raw_type":null},"sustainable_development_goals":[{"score":0.6164000034332275,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W107153532","https://openalex.org/W239639826","https://openalex.org/W1556808170","https://openalex.org/W1571527402","https://openalex.org/W1590154464","https://openalex.org/W1974711434","https://openalex.org/W2001232196","https://openalex.org/W2020244370","https://openalex.org/W2330154254","https://openalex.org/W2623270144"],"related_works":["https://openalex.org/W2318016414","https://openalex.org/W2963501306","https://openalex.org/W7135309786","https://openalex.org/W4392921983","https://openalex.org/W2738366352","https://openalex.org/W4225726249","https://openalex.org/W2781401450","https://openalex.org/W4408511785","https://openalex.org/W2917628337","https://openalex.org/W2941410433"],"abstract_inverted_index":{"The":[0,52,76],"aim":[1],"of":[2,56,89,95,104,118,128,167,198],"this":[3,23,175],"study":[4,53],"was":[5,27,155],"to":[6,30,37,40,149],"investigate":[7],"how":[8],"students":[9,36,130,145,169,179],"interpret":[10],"the":[11,32,66,80,92,102,115,119,125,129,168,178,209],"verbal":[12],"definitions":[13,34,94,173],"given":[14,50,137],"for":[15,35],"quadrilaterals":[16,141],"in":[17,22,49,164,174,183],"parallelogram":[18],"family":[19],"and":[20,39,70,83,98,101,142,206],"reasoning":[21,121],"interpretation":[24],"process.":[25,176],"It":[26,154],"also":[28,156],"aimed":[29],"reveal":[31],"easiest":[33],"understand,":[38],"determine":[41],"which":[42],"mathematical":[43],"terms":[44],"they":[45],"do":[46],"not":[47],"understand":[48],"definitions.":[51],"sample":[54],"consisted":[55],"16":[57],"volunteer":[58],"eighth":[59],"grade":[60],"students.":[61,116],"Data":[62],"were":[63,110,162],"collected":[64],"with":[65,72,139],"clinical":[67],"interview":[68],"method":[69],"analyzed":[71],"thematic":[73],"analysis":[74],"method.":[75],"results":[77],"revealed":[78],"that":[79,124,143,158],"exclusive":[81,93],"definition":[82,85,103,138,152],"inclusive":[84],"(based":[86],"on":[87,108],"sides)":[88],"a":[90,96,99,105,136,151],"parallelogram,":[91],"rectangle":[97],"rhombus,":[100],"square":[106],"based":[107],"diagonals":[109],"identified":[111],"more":[112],"accurately":[113],"by":[114,134],"Analysis":[117],"students\u2019":[120],"process":[122,166],"showed":[123],"vast":[126],"majority":[127],"made":[131],"their":[132,147],"decisions":[133],"comparing":[135],"other":[140],"few":[144],"explained":[146],"reasons":[148],"choose":[150],"directly.":[153],"determined":[157],"prototype":[159],"quadrilateral":[160],"images":[161],"effective":[163],"thinking":[165],"who":[170],"inaccurately":[171],"interpreted":[172],"Finally,":[177],"mostly":[180],"had":[181],"difficulty":[182],"understanding":[184],"expressions":[185],"such":[186],"as":[187],"rotational":[188],"symmetry,":[189],"bisecting,":[190],"bisecting":[191],"perpendicularly,":[192],"having":[193,200],"at":[194],"least":[195],"one":[196,201],"angle":[197],"90\u00b0,":[199],"right":[202],"angle,":[203],"perpendicular":[204,210],"bisector":[205],"symmetrical":[207],"across":[208],"bisector.":[211]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2018-12-11T00:00:00"}