GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://doi.org/10.34624/id.v8i2.2536 |
Resumo: | This paper discusses an educational perspective about the L`Hôpital rule. The relevance of their discussion become evident, in despite of their invariant place, both in the real variable functions´ theory and the complex variable functions´ theory. On the other hand, originated in an investigative perception that relies on the Didactical Engineering and the methodology known as Theory of Didactical Situations, the manuscript shows an emphasis on the two preliminary stages (preliminary and a priori analysis). In this way, seeking emphasize a didactical style that accentuates some elements related with the visualization. Finally, the identification of the transition and rupture elements in the context of Transition Complex Calculus – TCC may help in achieving a higher educational and methodological knowledge about the rule in the academic context. |
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GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital ruleGeoGebra e a Transição Complexa do Cálculo – TCC: o caso da regra de L´'HôpitalThis paper discusses an educational perspective about the L`Hôpital rule. The relevance of their discussion become evident, in despite of their invariant place, both in the real variable functions´ theory and the complex variable functions´ theory. On the other hand, originated in an investigative perception that relies on the Didactical Engineering and the methodology known as Theory of Didactical Situations, the manuscript shows an emphasis on the two preliminary stages (preliminary and a priori analysis). In this way, seeking emphasize a didactical style that accentuates some elements related with the visualization. Finally, the identification of the transition and rupture elements in the context of Transition Complex Calculus – TCC may help in achieving a higher educational and methodological knowledge about the rule in the academic context.Cet article discute d’un point de vue pédagogique sur la règle L`Hôpital. La pertinence de leur discussion deviennent évidents, en dépit de leur lieu invariant, aussi bien dans la théorie des fonctions de variables reéle et des fonction des variables complexes. D’autre part, originaire dans une perception de recherche qui repose sur l’Ingénierie Didactique et une méthodologie pour l´enseignement, connue comme la Théorie des Situations Didactiques, le manuscrit montre l’accent sur les deux étapes préliminaires (analyses préliminaires et une analyse a priori). De cette façon, cherche un trat didactique que met l’accent certains éléments liés à la visualisation. Enfin, l’identification des éléments de transition et de rupture dans le contexte dans la Transition Complexe de Calcul - TCC peut aider dans la obtention des connaissances pédagogiques et méthodologique liée avec de la règle dans le contexte académique.O presente trabalho aborda uma perspectiva de ensino para a regra de L´Hôpital. A relevância de sua discussão se evidencia, na medida em que, a referida regra possui lugar invariante, tanto na teoria da variável real, bem como na teoria da variável complexa. Por outro lado, com origem num olhar investigativo que se apoia na Engenharia Didática e na metodologia de ensino conhecida como Teoria das Situações Didáticas, o manuscrito apresenta uma ênfase nas duas etapas preliminares (análises preliminares e análise a priori). Desse modo, busca acentuar um trato didático que aponta certos elementos atinentes à visualização. Por fim, a identificação dos elementos de transição e de elementos de ruptura, no contexto da Transição Complexa do Cálculo – TCC, poderão contribuir na obtenção de maiores conhecimentos didático-metodológicos sobre a mesma, no contexto académico.Centro de Investigação Didática e Tecnologia na Formação de Formadores (CIDTFF) / Universidade de Aveiro2016-04-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.34624/id.v8i2.2536https://doi.org/10.34624/id.v8i2.2536Indagatio Didactica; Vol 8 No 2 (2016); 95-118Indagatio Didactica; Vol. 8 Núm. 2 (2016); 95-118Indagatio Didactica; Vol. 8 No 2 (2016); 95-118Indagatio Didactica; vol. 8 n.º 2 (2016); 95-1181647-3582reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAPporhttps://proa.ua.pt/index.php/id/article/view/2536https://proa.ua.pt/index.php/id/article/view/2536/1981Alves, Francisco Regis Vieirainfo:eu-repo/semantics/openAccess2023-09-22T10:14:48Zoai:proa.ua.pt:article/2536Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:29:57.382920Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule GeoGebra e a Transição Complexa do Cálculo – TCC: o caso da regra de L´'Hôpital |
title |
GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule |
spellingShingle |
GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule Alves, Francisco Regis Vieira |
title_short |
GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule |
title_full |
GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule |
title_fullStr |
GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule |
title_full_unstemmed |
GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule |
title_sort |
GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule |
author |
Alves, Francisco Regis Vieira |
author_facet |
Alves, Francisco Regis Vieira |
author_role |
author |
dc.contributor.author.fl_str_mv |
Alves, Francisco Regis Vieira |
description |
This paper discusses an educational perspective about the L`Hôpital rule. The relevance of their discussion become evident, in despite of their invariant place, both in the real variable functions´ theory and the complex variable functions´ theory. On the other hand, originated in an investigative perception that relies on the Didactical Engineering and the methodology known as Theory of Didactical Situations, the manuscript shows an emphasis on the two preliminary stages (preliminary and a priori analysis). In this way, seeking emphasize a didactical style that accentuates some elements related with the visualization. Finally, the identification of the transition and rupture elements in the context of Transition Complex Calculus – TCC may help in achieving a higher educational and methodological knowledge about the rule in the academic context. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-04-24 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://doi.org/10.34624/id.v8i2.2536 https://doi.org/10.34624/id.v8i2.2536 |
url |
https://doi.org/10.34624/id.v8i2.2536 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://proa.ua.pt/index.php/id/article/view/2536 https://proa.ua.pt/index.php/id/article/view/2536/1981 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Centro de Investigação Didática e Tecnologia na Formação de Formadores (CIDTFF) / Universidade de Aveiro |
publisher.none.fl_str_mv |
Centro de Investigação Didática e Tecnologia na Formação de Formadores (CIDTFF) / Universidade de Aveiro |
dc.source.none.fl_str_mv |
Indagatio Didactica; Vol 8 No 2 (2016); 95-118 Indagatio Didactica; Vol. 8 Núm. 2 (2016); 95-118 Indagatio Didactica; Vol. 8 No 2 (2016); 95-118 Indagatio Didactica; vol. 8 n.º 2 (2016); 95-118 1647-3582 reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133567562809344 |