{"id":"https://openalex.org/W2988910085","doi":"https://doi.org/10.18800/educacion.201902.010","title":"Las aprehensiones en el registro gr\u00e1fico para el estudio de la derivada parcial","display_name":"Las aprehensiones en el registro gr\u00e1fico para el estudio de la derivada parcial","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2988910085","doi":"https://doi.org/10.18800/educacion.201902.010","mag":"2988910085"},"language":"es","primary_location":{"id":"doi:10.18800/educacion.201902.010","doi":"https://doi.org/10.18800/educacion.201902.010","is_oa":true,"landing_page_url":"https://doi.org/10.18800/educacion.201902.010","pdf_url":"http://revistas.pucp.edu.pe/index.php/educacion/article/download/21360/21032","source":{"id":"https://openalex.org/S4210202592","display_name":"Educaci\u00f3n","issn_l":"1019-9403","issn":["1019-9403","2304-4322"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","erih-plus","latindex","scielo"],"host_organization":"https://openalex.org/P4310318237","host_organization_name":"Pontifical Catholic University of Peru","host_organization_lineage":["https://openalex.org/P4310318237"],"host_organization_lineage_names":["Pontifical Catholic University of Peru"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educaci\u00f3n","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://revistas.pucp.edu.pe/index.php/educacion/article/download/21360/21032","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017654464","display_name":"Katia Vigo Ingar","orcid":"https://orcid.org/0000-0001-6814-2492","observed_orcids":["https://orcid.org/0000-0001-6814-2492"]},"institutions":[{"id":"https://openalex.org/I65285256","display_name":"Pontificia Universidad Cat\u00f3lica del Per\u00fa","ror":"https://ror.org/00013q465","country_code":"PE","type":"education","lineage":["https://openalex.org/I65285256"]}],"countries":["PE"],"is_corresponding":false,"raw_author_name":"Katia Vigo Ingar","raw_affiliation_strings":["Pontificia Universidad Cat\u00f3lica del Per\u00fa \u2013 Per\u00fa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pontificia Universidad Cat\u00f3lica del Per\u00fa \u2013 Per\u00fa","institution_ids":["https://openalex.org/I65285256"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082674215","display_name":"Mar\u00eda Jos\u00e9 Ferreira da Silva","orcid":"https://orcid.org/0000-0002-1249-8091","observed_orcids":["https://orcid.org/0000-0002-1249-8091"]},"institutions":[{"id":"https://openalex.org/I98466806","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica de S\u00e3o Paulo","ror":"https://ror.org/00sfmx060","country_code":"BR","type":"education","lineage":["https://openalex.org/I98466806"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Maria Jos\u00e9 Ferreira Da Silva","raw_affiliation_strings":["Pontificia Universidad Cat\u00f3lica de S\u00e3o Paulo \u2013 Brasil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pontificia Universidad Cat\u00f3lica de S\u00e3o Paulo \u2013 Brasil","institution_ids":["https://openalex.org/I98466806"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"28","issue":"55","first_page":"203","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9657999873161316,"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":0.9657999873161316,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.01140000019222498,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.007499999832361937,"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/graphical-representation","display_name":"graphical representation","score":0.6060000061988831},{"id":"https://openalex.org/keywords/functions-of-two-variables","display_name":"functions of two variables","score":0.7599999904632568},{"id":"https://openalex.org/keywords/duval","display_name":"Duval","score":0.6259999871253967},{"id":"https://openalex.org/keywords/differential-calculus-teaching","display_name":"differential calculus teaching","score":0.578000009059906},{"id":"https://openalex.org/keywords/didactical-engineering","display_name":"didactic engineering","score":0.6890000104904175},{"id":"https://openalex.org/keywords/mathematica","display_name":"Mathematica","score":0.6309999823570251},{"id":"https://openalex.org/keywords/optimization-problems","display_name":"optimization problems","score":0.8809999823570251},{"id":"https://openalex.org/keywords/geometric-interpretation","display_name":"geometric interpretation","score":0.4620000123977661},{"id":"https://openalex.org/keywords/calculus-instruction","display_name":"calculus teaching","score":0.3149999976158142}],"concepts":[{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.6556142568588257},{"id":"https://openalex.org/C2779337067","wikidata":"https://www.wikidata.org/wiki/Q4800961","display_name":"Articulation (sociology)","level":3,"score":0.5448985695838928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5354706645011902},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5132905840873718},{"id":"https://openalex.org/C56802139","wikidata":"https://www.wikidata.org/wiki/Q149999","display_name":"Differential calculus","level":2,"score":0.5098997354507446},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5000040531158447},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4381047487258911},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4211091101169586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27005064487457275},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2512456178665161},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1886342167854309},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13381439447402954},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09694162011146545},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.18800/educacion.201902.010","doi":"https://doi.org/10.18800/educacion.201902.010","is_oa":true,"landing_page_url":"https://doi.org/10.18800/educacion.201902.010","pdf_url":"http://revistas.pucp.edu.pe/index.php/educacion/article/download/21360/21032","source":{"id":"https://openalex.org/S4210202592","display_name":"Educaci\u00f3n","issn_l":"1019-9403","issn":["1019-9403","2304-4322"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","erih-plus","latindex","scielo"],"host_organization":"https://openalex.org/P4310318237","host_organization_name":"Pontifical Catholic University of Peru","host_organization_lineage":["https://openalex.org/P4310318237"],"host_organization_lineage_names":["Pontifical Catholic University of Peru"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educaci\u00f3n","raw_type":"journal-article"},{"id":"pmh:oai:revistaspuc:article/21360","doi":null,"is_oa":true,"landing_page_url":"http://revistas.pucp.edu.pe/index.php/educacion/article/view/21360","pdf_url":"http://revistas.pucp.edu.pe/index.php/educacion/article/view/21360","source":{"id":"https://openalex.org/S4306400984","display_name":"Portal de Revistas PUCP (N/A)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I65285256","host_organization_name":"Pontificia Universidad Cat\u00f3lica del Per\u00fa","host_organization_lineage":["https://openalex.org/I65285256"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Educaci\u00f3n; Vol. 28 N\u00fam. 55 (2019); 203-224","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:null:20.500.14657/168534","doi":null,"is_oa":true,"landing_page_url":"http://revistas.pucp.edu.pe/index.php/educacion/article/view/21360/21032","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:PUCP","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:americanae.aecid.es:3544935","doi":null,"is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3544935","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Educaci\u00f3n; Vol. 28 N\u00fam. 55 (2019)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dialnet.unirioja.es:ART0001375026","doi":null,"is_oa":false,"landing_page_url":"https://dialnet.unirioja.es/servlet/oaiart?codigo=7333335","pdf_url":null,"source":{"id":"https://openalex.org/S4306401293","display_name":"Dialnet (Universidad de la Rioja)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I168974976","host_organization_name":"Universidad de La Rioja","host_organization_lineage":["https://openalex.org/I168974976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Educaci\u00f3n, ISSN 1019-9403, Vol. 28, N\u00ba. 55, 2019, pags. 203-224","raw_type":"text (article)"},{"id":"pmh:oai:doaj.org/article:baef3d36cf1341caa26048a791590346","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/baef3d36cf1341caa26048a791590346","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":"Educaci\u00f3n, Vol 28, Iss 55 (2019)","raw_type":"article"},{"id":"doi:10.60692/31ak9-vzs55","doi":"https://doi.org/10.60692/31ak9-vzs55","is_oa":true,"landing_page_url":"https://doi.org/10.60692/31ak9-vzs55","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.60692/yrh4n-r2p95","doi":"https://doi.org/10.60692/yrh4n-r2p95","is_oa":true,"landing_page_url":"https://doi.org/10.60692/yrh4n-r2p95","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.18800/educacion.201902.010","doi":"https://doi.org/10.18800/educacion.201902.010","is_oa":true,"landing_page_url":"https://doi.org/10.18800/educacion.201902.010","pdf_url":"http://revistas.pucp.edu.pe/index.php/educacion/article/download/21360/21032","source":{"id":"https://openalex.org/S4210202592","display_name":"Educaci\u00f3n","issn_l":"1019-9403","issn":["1019-9403","2304-4322"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","erih-plus","latindex","scielo"],"host_organization":"https://openalex.org/P4310318237","host_organization_name":"Pontifical Catholic University of Peru","host_organization_lineage":["https://openalex.org/P4310318237"],"host_organization_lineage_names":["Pontifical Catholic University of Peru"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educaci\u00f3n","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6164000034332275,"display_name":"Quality education","id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2988910085.pdf","grobid_xml":"https://content.openalex.org/works/W2988910085.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1965950906","https://openalex.org/W1971707972","https://openalex.org/W2064523086","https://openalex.org/W2073745193","https://openalex.org/W2086670154","https://openalex.org/W2141105206","https://openalex.org/W2293035736"],"related_works":["https://openalex.org/W2943589018","https://openalex.org/W3137352324","https://openalex.org/W2602462602","https://openalex.org/W4293646223","https://openalex.org/W1947772607","https://openalex.org/W7011339142","https://openalex.org/W4402025397","https://openalex.org/W3119942443","https://openalex.org/W2116465509","https://openalex.org/W2027507919"],"abstract_inverted_index":{"The":[0],"objective":[1],"of":[2,10,23,26,39,45,54,58,75,77,79,88,92,101],"this":[3],"article":[4],"is":[5,61,70,84],"to":[6,16,29,35,116,126],"present":[7],"an":[8],"extension":[9],"the":[11,17,20,37,40,43,46,52,55,64,67,73,89,99,102,105,110,114],"Duval":[12],"study":[13,44],"in":[14,19,42,51,104,121],"relation":[15],"apprehensions":[18,41,103],"graphic":[21,106],"register":[22],"a":[24,31],"function":[25],"two":[27,59,80],"variables,":[28],"analyze":[30],"didactic":[32,90],"situation":[33],"and":[34,124],"investigate":[36],"articulations":[38],"partial":[47],"derivative.":[48],"Its":[49],"relevance":[50],"teaching-learning":[53],"Differential":[56],"Calculus":[57],"variables":[60],"wide,":[62],"since":[63],"information":[65],"that":[66,98],"graph":[68],"provides":[69],"important":[71],"for":[72],"construction":[74],"knowledge":[76],"functions":[78],"variables.":[81],"Our":[82],"research":[83],"qualitative,":[85],"specifically,":[86],"aspects":[87],"engineering":[91],"Mich\u00e8le":[93],"Artigue.":[94],"It":[95],"was":[96],"found":[97],"articulation":[100],"registry,":[107],"mediated":[108],"by":[109],"Mathematica":[111],"software,":[112],"allowed":[113],"students":[115],"conjecture":[117],"properties,":[118],"apply":[119],"them":[120],"optimization":[122],"problems":[123,129],"adapt":[125],"solve":[127],"these":[128],"geometrically.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2019-11-22T00:00:00"}