{"id":"https://openalex.org/W220063927","doi":null,"title":"Actividad rect\u00e1ngulos: un ejemplo de aplicaci\u00f3n de metodolog\u00edas activas en el aula universitaria de matem\u00e1ticas","display_name":"Actividad rect\u00e1ngulos: un ejemplo de aplicaci\u00f3n de metodolog\u00edas activas en el aula universitaria de matem\u00e1ticas","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W220063927","mag":"220063927"},"language":"es","primary_location":{"id":"pmh:oai:abacus.universidadeuropea.es:11268/3351","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11268/3351","pdf_url":"http://hdl.handle.net/11268/3351","source":{"id":"https://openalex.org/S4306400164","display_name":"ABACUS. Repositorio de Producci\u00f3n Cient\u00edfica (Universidad Europea)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210101845","host_organization_name":"Universidad Europea","host_organization_lineage":["https://openalex.org/I4210101845"],"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":"","raw_type":"conferenceObject"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11268/3351","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011172170","display_name":"Myriam Codes Valcarce","orcid":"https://orcid.org/0000-0002-9528-0564","observed_orcids":["https://orcid.org/0000-0002-9528-0564"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Myriam Codes Valcarce","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9528-0564","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5112082646","display_name":"Modesto Sierra V\u00e1zquez","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Modesto Sierra V\u00e1zquez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"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":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.7734000086784363,"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":0.7734000086784363,"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":0.09549999982118607,"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/T11526","display_name":"Innovative Teaching Methods","score":0.07349999994039536,"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/numerical-series","display_name":"numerical series","score":0.6669999957084656},{"id":"https://openalex.org/keywords/infinite-series","display_name":"infinite series","score":0.7990000247955322},{"id":"https://openalex.org/keywords/active-learning-methodologies","display_name":"active learning methodologies","score":0.6850000023841858},{"id":"https://openalex.org/keywords/teaching-sequence","display_name":"didactic sequence","score":0.5889999866485596},{"id":"https://openalex.org/keywords/concept-of-infinity","display_name":"concept of infinity","score":0.7049999833106995},{"id":"https://openalex.org/keywords/history-of-mathematics-in-education","display_name":"history of mathematics in teaching","score":0.5440000295639038},{"id":"https://openalex.org/keywords/university-mathematics-education","display_name":"university mathematics education","score":0.4869999885559082},{"id":"https://openalex.org/keywords/engineering-students","display_name":"engineering students","score":0.5450000166893005},{"id":"https://openalex.org/keywords/mathematics-teacher-education","display_name":"mathematics teacher education","score":0.3070000112056732},{"id":"https://openalex.org/keywords/didactic-transposition","display_name":"didactic transposition","score":0.34200000762939453}],"concepts":[{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.5425155758857727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39517998695373535},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.3080456852912903}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:abacus.universidadeuropea.es:11268/3351","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11268/3351","pdf_url":"http://hdl.handle.net/11268/3351","source":{"id":"https://openalex.org/S4306400164","display_name":"ABACUS. Repositorio de Producci\u00f3n Cient\u00edfica (Universidad Europea)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210101845","host_organization_name":"Universidad Europea","host_organization_lineage":["https://openalex.org/I4210101845"],"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":"","raw_type":"conferenceObject"},{"id":"mag:220063927","doi":null,"is_oa":false,"landing_page_url":"http://abacus.universidadeuropea.es/handle/11268/3351","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:abacus.universidadeuropea.es:11268/3351","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11268/3351","pdf_url":"http://hdl.handle.net/11268/3351","source":{"id":"https://openalex.org/S4306400164","display_name":"ABACUS. Repositorio de Producci\u00f3n Cient\u00edfica (Universidad Europea)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210101845","host_organization_name":"Universidad Europea","host_organization_lineage":["https://openalex.org/I4210101845"],"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":"","raw_type":"conferenceObject"},"sustainable_development_goals":[{"score":0.8278999924659729,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W220063927.pdf","grobid_xml":"https://content.openalex.org/works/W220063927.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W593340652","https://openalex.org/W1493345690","https://openalex.org/W1497733606","https://openalex.org/W1503263467","https://openalex.org/W1510903205","https://openalex.org/W1527061652","https://openalex.org/W1602910236","https://openalex.org/W1840582393","https://openalex.org/W1972349196","https://openalex.org/W1974711434","https://openalex.org/W2072267223","https://openalex.org/W2184327468","https://openalex.org/W2736432195"],"related_works":["https://openalex.org/W3174086282","https://openalex.org/W7036285301","https://openalex.org/W3082803171","https://openalex.org/W2795074270","https://openalex.org/W2738744748","https://openalex.org/W7220344978","https://openalex.org/W7071534750","https://openalex.org/W579977270","https://openalex.org/W4403284635","https://openalex.org/W4327916314"],"abstract_inverted_index":{"INTRODUCCI\u00d3NEn":[0],"el":[1,58,82,112,170,180,197,218,224,237,246,267,305,313,338,356,362,380,395,407,486,493,530,536,544,583],"\u00e1mbito":[2],"de":[3,6,12,31,47,60,74,79,85,88,92,96,108,136,148,155,186,205,213,226,228,247,258,272,290,297,307,324,335,348,353,382,387,397,404,425,432,441,444,463,469,488,506,509,541,546,556,561,565,569,572,574,585,591,603],"la":[4,7,75,89,97,100,153,156,160,200,288,295,370,385,423,431,460,464,521,554,559,563,570,575,592],"did\u00e1ctica":[5,119],"matem\u00e1tica":[8,138,157,161],"en":[9,81,129,152,233,266,294,304,330,337,355,364,379,406,430,478,492,514,526,543,597],"niveles":[10],"superiores":[11],"ense\u00f1anza,":[13],"Bachiller":[14],"y":[15,22,230,245,252,319,347,361,390,411,438,499,534,552],"primer":[16,83,171,181,604],"curso":[17,84],"universitario,":[18],"son":[19,250],"bien":[20],"conocidos":[21],"est\u00e1n":[23],"ampliamente":[24],"documentados,":[25],"los":[26,33,55,102,123,149,214,374,419,439,442,474,601],"problemas":[27,331,352,598],"conceptuales":[28],"que":[29,50,101,120,169,373,429],"han":[30,262,450],"resolver":[32,351],"estudiantes":[34,56,103,124,602],"cuando":[35,399],"se":[36,51,104,261,286,299,311,320,341,391,413,434,449],"enfrentan":[37,105],"a":[38,54,122,125,142,159,369,393,452,473,476,503,600],"t\u00f3picos":[39],"del":[40,183,194,220,270,358,421,466,495,518,524,538,548,594],"c\u00e1lculo":[41,306,359,381],"infinitesimal":[42,360],"(Tall,":[43,69],"1991).El":[44],"principal":[45,113],"protagonista":[46],"las":[48,174,281,301,365,436,482,515],"dificultades":[49],"les":[52],"plantean":[53],"es":[57,111,146],"concepto":[59,188,271,584],"infinito.(Dienes,":[61],"2002),":[62],"(Fischbein,":[63],"2001),":[64,66],"(Monaghan,":[65],"(Sierpinska,":[67],"1985),":[68],"1981),":[70],"(Tsamir,":[71],"2001).La":[72],"experiencia":[73],"autora":[76],"como":[77,179,207,279,497],"profesora":[78],"matem\u00e1ticas":[80],"ingenier\u00eda":[86],"inform\u00e1tica":[87],"Universidad":[90],"Pontificia":[91],"Salamanca":[93],"(UPSA),":[94],"advierte":[95],"dificultad":[98],"con":[99,131,173,217,417,553],"al":[106,210,256,315,427,501,540],"t\u00f3pico":[107,133],"serie":[109,273,586],"num\u00e9rica.Este":[110],"desencadenante":[114],"para":[115,350,581],"plantear":[116],"una":[117,137,191,259,579,589],"secuencia":[118],"ayude":[121],"construir":[126],"su":[127,527],"conocimiento":[128],"relaci\u00f3n":[130],"este":[132,447,550],"matem\u00e1tico.El":[134],"paso":[135,219],"informal":[139],"e":[140],"intuitiva":[141],"otra":[143],"m\u00e1s":[144,177],"formal,":[145],"uno":[147],"aspectos":[150],"clave":[151],"transici\u00f3n":[154],"elemental":[158],"superior.En":[162],"esta":[163,254],"l\u00ednea,":[164],"Bagni":[165],"(Bagni,":[166,234],"2005)":[167],"sugiere":[168],"contacto":[172],"series":[175,282,302,325,344,398,455],"sea":[176],"intuitivo,":[178],"estado":[182,204],"desarrollo":[184,211,240,268],"hist\u00f3rico":[185,212,241,269],"un":[187,203,243,248,504],"matem\u00e1tico,":[189],"sin":[190],"comprensi\u00f3n":[192],"completa":[193],"problema;":[195],"posteriormente,":[196],"aprendizaje":[198,528,531,595],"mejorar\u00e1":[199],"concepci\u00f3n":[201],"hasta":[202],"maduraci\u00f3n,":[206],"le":[208],"ocurre":[209],"conceptos":[215],"matem\u00e1ticos":[216],"tiempo,":[221],"(Sfard,":[222],"1991).Apoyando":[223],"punto":[225],"vista":[227],"Piaget":[229],"Garc\u00eda,":[231],"(citados":[232],"2005)),":[235],"seg\u00fan":[236],"cual":[238],"\"el":[239],"(de":[242],"concepto)":[244],"individuo":[249],"paralelos\",":[251],"trasladando":[253,535],"idea":[255,289],"dise\u00f1o":[257],"instrucci\u00f3n,":[260],"definido":[263],"cuatro":[264],"etapas":[265],"num\u00e9rica:\u2022":[274],"Etapa":[275,309,334,403],"griega:":[276],"no":[277,285,401],"existen":[278],"tal":[280],"infinitas,":[283,345],"porque":[284],"aceptaba":[287],"proceso":[291,487,545],"infinito.Sin":[292],"embargo,":[293],"obra":[296,424],"Arqu\u00edmedes":[298],"vislumbran":[300],"infinitas":[303],"cuadraturas.\u2022":[308,333],"medieval:":[310],"pierde":[312],"miedo":[314],"infinito":[316],"(Boyer,":[317],"1994)":[318],"calculan":[321],"algunas":[322,388],"sumas":[323],"num\u00e9ricas.Estos":[326],"c\u00e1lculos":[327],"aparec\u00edan":[328],"generalmente":[329],"sobre":[332],"desarrollo:":[336],"siglo":[339,408],"XVII":[340],"siguen":[342],"sumando":[343],"num\u00e9ricas":[346,456],"funciones,":[349],"aproximaci\u00f3n.Estamos":[354],"despuntar":[357],"rigor":[363,418],"demostraciones":[366],"cede":[367],"protagonismo":[368,378],"intuici\u00f3n,":[371],"permitiendo":[372],"procesos":[375],"infinitos":[376],"tomen":[377],"cuadraturas.Se":[383],"demuestra":[384],"divergencia":[386],"series,":[389],"comienza":[392],"cuestionar":[394],"uso":[396],"estas":[400],"convergen.\u2022":[402],"formalizaci\u00f3n:":[405],"XIX":[409],"Gauss":[410],"Cauchy":[412],"esfuerzan":[414],"por":[415,532],"demostrar":[416],"resultados":[420],"c\u00e1lculo.En":[422],"Cauchy,":[426],"igual":[428],"Lacroix,":[433],"reconocen":[435],"definiciones":[437],"teoremas":[440],"libros":[443],"texto":[445],"actuales.Hasta":[446],"momento":[448],"dado":[451],"conocer":[453],"muchas":[454],"convergentes.Por":[457],"otro":[458],"lado,":[459],"inminente":[461],"aplicaci\u00f3n":[462],"reforma":[465],"Espacio":[467],"Europeo":[468],"Educaci\u00f3n":[470],"Superior,":[471],"impulsa":[472],"docentes":[475],"poner":[477],"pr\u00e1ctica":[479],"nuevas":[480,511],"metodolog\u00edas,":[481,512],"denominadas":[483],"metodolog\u00edas":[484],"activas.Tradicionalmente,":[485],"ense\u00f1anzaaprendizaje":[489],"estaba":[490],"centrado":[491],"papel":[494,505,537],"profesor":[496],"\"instructor\"":[498],"relegaba":[500],"estudiante":[502,525],"mero":[507],"receptor":[508],"conceptos.Las":[510],"basadas":[513],"teor\u00edas":[516],"cognitivas":[517],"aprendizaje,":[519],"impulsan":[520],"participaci\u00f3n":[522],"activa":[523],"promoviendo":[529],"descubrimiento":[533],"profesor-instructor":[539],"gu\u00eda":[542],"adquisici\u00f3n":[547],"conocimiento.En":[549],"contexto,":[551],"intenci\u00f3n":[555],"modificar":[557],"paulatinamente":[558],"metodolog\u00eda":[560,593],"toda":[562],"asignatura":[564],"Fundamentos":[566],"Matem\u00e1ticos":[567],"I":[568],"Escuela":[571],"Inform\u00e1tica":[573],"UPSA,":[576],"hemos":[577],"dise\u00f1ado":[578],"actividad":[580],"introducir":[582],"num\u00e9rica":[587],"mediante":[588],"adaptaci\u00f3n":[590],"basado":[596],"(ABP),":[599],"curso.":[605]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}
