{"id":"https://openalex.org/W3127095602","doi":"https://doi.org/10.1515/edu-2020-0136","title":"Student\u2019s Conceptions of Function Transformation","display_name":"Student\u2019s Conceptions of Function Transformation","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3127095602","doi":"https://doi.org/10.1515/edu-2020-0136","mag":"3127095602"},"language":"en","primary_location":{"id":"doi:10.1515/edu-2020-0136","doi":"https://doi.org/10.1515/edu-2020-0136","is_oa":true,"landing_page_url":"https://doi.org/10.1515/edu-2020-0136","pdf_url":"https://www.degruyter.com/document/doi/10.1515/edu-2020-0136/pdf","source":{"id":"https://openalex.org/S4210186797","display_name":"Open Education Studies","issn_l":"2544-7831","issn":["2544-7831"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Education Studies","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":"https://www.degruyter.com/document/doi/10.1515/edu-2020-0136/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090416418","display_name":"Tumenbayar Davaanyam","orcid":"https://orcid.org/0009-0000-2550-2187","observed_orcids":["https://orcid.org/0009-0000-2550-2187"]},"institutions":[{"id":"https://openalex.org/I64222039","display_name":"National University of Mongolia","ror":"https://ror.org/04855bv47","country_code":"MN","type":"education","lineage":["https://openalex.org/I64222039"]}],"countries":["MN"],"is_corresponding":false,"raw_author_name":"Davaanyam Tumenbayar","raw_affiliation_strings":["Mathematics Department, School of Arts and Sciences , National University of Mongolia , Ulaanbaatar , Mongolia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, School of Arts and Sciences , National University of Mongolia , Ulaanbaatar , Mongolia","institution_ids":["https://openalex.org/I64222039"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089250740","display_name":"Amartuvshin Amarzaya","orcid":"https://orcid.org/0009-0004-6186-3165","observed_orcids":["https://orcid.org/0009-0004-6186-3165"]},"institutions":[{"id":"https://openalex.org/I64222039","display_name":"National University of Mongolia","ror":"https://ror.org/04855bv47","country_code":"MN","type":"education","lineage":["https://openalex.org/I64222039"]}],"countries":["MN"],"is_corresponding":true,"raw_author_name":"Amartuvshin Amarzaya","raw_affiliation_strings":["Mathematics Department, School of Arts and Sciences , National University of Mongolia , Ulaanbaatar , Mongolia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, School of Arts and Sciences , National University of Mongolia , Ulaanbaatar , Mongolia","institution_ids":["https://openalex.org/I64222039"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003319055","display_name":"Navchaa Tserendorj","orcid":"https://orcid.org/0009-0004-0251-9671","observed_orcids":["https://orcid.org/0009-0004-0251-9671"]},"institutions":[{"id":"https://openalex.org/I64222039","display_name":"National University of Mongolia","ror":"https://ror.org/04855bv47","country_code":"MN","type":"education","lineage":["https://openalex.org/I64222039"]}],"countries":["MN"],"is_corresponding":false,"raw_author_name":"Tserendorj Navchaa","raw_affiliation_strings":["Mathematics Department, School of Arts and Sciences , National University of Mongolia , Ulaanbaatar , Mongolia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, School of Arts and Sciences , National University of Mongolia , Ulaanbaatar , Mongolia","institution_ids":["https://openalex.org/I64222039"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5089250740"],"corresponding_institution_ids":["https://openalex.org/I64222039"],"apc_list":{"value":750,"currency":"EUR","value_usd":848},"apc_paid":{"value":750,"currency":"EUR","value_usd":848},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"1","first_page":"26","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.8086000084877014,"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":0.8086000084877014,"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":0.09399999678134918,"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":0.0575999990105629,"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/transformation-of-functions","display_name":"function transformation","score":0.8360000252723694},{"id":"https://openalex.org/keywords/student-conceptions","display_name":"student conceptions","score":0.8610000014305115},{"id":"https://openalex.org/keywords/network-visualization","display_name":"network visualization","score":0.4099999964237213},{"id":"https://openalex.org/keywords/project-based-assessment","display_name":"project-based assessment","score":0.42500001192092896}],"concepts":[{"id":"https://openalex.org/C52146309","wikidata":"https://www.wikidata.org/wiki/Q7431116","display_name":"Schema (genetic algorithms)","level":2,"score":0.7897418141365051},{"id":"https://openalex.org/C111640148","wikidata":"https://www.wikidata.org/wiki/Q847349","display_name":"Rubric","level":2,"score":0.7022112607955933},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6891350746154785},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5594860911369324},{"id":"https://openalex.org/C2778631480","wikidata":"https://www.wikidata.org/wiki/Q17143022","display_name":"Research Object","level":2,"score":0.5302875638008118},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.5202221274375916},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5155720114707947},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4965532422065735},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4410715103149414},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4201415777206421},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40090811252593994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39237433671951294},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36489957571029663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3327576816082001},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2463034987449646},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.20119008421897888},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.19268232583999634},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12194225192070007},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.09542208909988403},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0906030535697937},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0667363703250885},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06582939624786377},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.06374824047088623},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C148383697","wikidata":"https://www.wikidata.org/wiki/Q1781695","display_name":"Regional science","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/edu-2020-0136","doi":"https://doi.org/10.1515/edu-2020-0136","is_oa":true,"landing_page_url":"https://doi.org/10.1515/edu-2020-0136","pdf_url":"https://www.degruyter.com/document/doi/10.1515/edu-2020-0136/pdf","source":{"id":"https://openalex.org/S4210186797","display_name":"Open Education Studies","issn_l":"2544-7831","issn":["2544-7831"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Education Studies","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3a1b3ee22973429f8617e288df7125fd","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/3a1b3ee22973429f8617e288df7125fd","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":"Open Education Studies, Vol 3, Iss 1, Pp 26-32 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/edu-2020-0136","doi":"https://doi.org/10.1515/edu-2020-0136","is_oa":true,"landing_page_url":"https://doi.org/10.1515/edu-2020-0136","pdf_url":"https://www.degruyter.com/document/doi/10.1515/edu-2020-0136/pdf","source":{"id":"https://openalex.org/S4210186797","display_name":"Open Education Studies","issn_l":"2544-7831","issn":["2544-7831"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Education Studies","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.9235000014305115,"display_name":"Quality education","id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3127095602.pdf","grobid_xml":"https://content.openalex.org/works/W3127095602.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W40981507","https://openalex.org/W82428586","https://openalex.org/W575532802","https://openalex.org/W1493345690","https://openalex.org/W1826179582","https://openalex.org/W1984525454","https://openalex.org/W2054385770","https://openalex.org/W2297329203","https://openalex.org/W2989156109","https://openalex.org/W4241929121","https://openalex.org/W4244989485","https://openalex.org/W4252117597","https://openalex.org/W6770289689"],"related_works":["https://openalex.org/W7097794743","https://openalex.org/W2604042316","https://openalex.org/W2165235871","https://openalex.org/W95959512","https://openalex.org/W2297329203","https://openalex.org/W7117948719","https://openalex.org/W4417005254","https://openalex.org/W2560183796","https://openalex.org/W2183482804","https://openalex.org/W3121406202"],"abstract_inverted_index":{"Abstract":[0],"The":[1,25,96],"purpose":[2,44],"of":[3,13,15,21,37,46,69,74,80,89,93,106,108,151,168],"this":[4],"study":[5],"is":[6,119],"to":[7,130,162],"assess":[8],"object":[9,102],"and":[10,59,71,83,103,154],"schema":[11,104],"conceptions":[12],"transformations":[14,82,88,107,134,150,156,167],"functions":[16,75,109],"for":[17,115,122],"undergraduate":[18,30],"level":[19],"students":[20,31,126],"Mongolian":[22],"National":[23],"University.":[24],"research":[26,97],"participants":[27],"were":[28,62,110,128,160],"37":[29],"who":[32,127,147],"attended":[33],"the":[34,38,47,56,113,141,145,169],"Calculus":[35],"course":[36],"third":[39],"author.":[40],"To":[41],"achieve":[42],"our":[43],"two":[45],"authors":[48],"analyzed":[49],"students\u2019":[50,101],"project":[51,65],"work":[52,66],"independently":[53],"based":[54],"on":[55],"pre-developed":[57],"rubrics":[58],"further":[60],"analyses":[61],"made.":[63],"Students\u2019":[64],"included":[67],"recognition":[68],"simple":[70,153],"complicated":[72,133,155],"transformation":[73],"visually,":[76],"expressing":[77],"algebraic":[78,158],"forms":[79],"such":[81],"drawing":[84],"a":[85,90,120,138,164],"doll":[86,139,165],"using":[87,140,166],"half":[91,142,170],"circle":[92,143],"radius":[94],"one.":[95],"results":[98,118],"show":[99],"that":[100],"conception":[105],"poor.":[111],"Finding":[112],"reason":[114],"these":[116],"poor":[117],"subject":[121],"future":[123],"research.":[124],"Moreover,":[125],"able":[129,161],"recognize":[131],"more":[132],"visually":[135],"could":[136,148],"draw":[137],"while":[144],"ones":[146],"express":[149],"both":[152],"in":[157],"form":[159],"construct":[163],"circle.":[171]},"counts_by_year":[],"updated_date":"2026-10-13T10:08:12.033832","created_date":"2021-02-15T00:00:00"}