From Powers to Exponential Function

Autores
Sureda Figueroa, Diana Patricia; Otero, Maria Rita
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The construction of the exponential function of a real exponent from the definition of the powers of a real number, and its properties, requires the notion of successions, a decimal approximation of a rational number, convergence, and limit of a function. In Argentina, this construction would exceed what could be taught at the secondary level, but it provides advanced students of teachers in mathematics, and teachers in practice, the possibility of discussing what happens in the case of irrational exponents of the type aπ, or discuss the validity of the properties of this type of power.
Fil: Sureda Figueroa, Diana Patricia. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina
Fil: Otero, Maria Rita. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina
Materia
TEACHER TRAINING
EMPOWERMENT
EXPONENTIAL FUNCTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/125583
Acceder
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network_name_str CONICET Digital (CONICET)
spelling From Powers to Exponential FunctionSureda Figueroa, Diana PatriciaOtero, Maria RitaTEACHER TRAININGEMPOWERMENTEXPONENTIAL FUNCTIONhttps://purl.org/becyt/ford/5.3https://purl.org/becyt/ford/5The construction of the exponential function of a real exponent from the definition of the powers of a real number, and its properties, requires the notion of successions, a decimal approximation of a rational number, convergence, and limit of a function. In Argentina, this construction would exceed what could be taught at the secondary level, but it provides advanced students of teachers in mathematics, and teachers in practice, the possibility of discussing what happens in the case of irrational exponents of the type aπ, or discuss the validity of the properties of this type of power.Fil: Sureda Figueroa, Diana Patricia. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; ArgentinaFil: Otero, Maria Rita. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; ArgentinaModestum2019-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/125583Sureda Figueroa, Diana Patricia; Otero, Maria Rita; From Powers to Exponential Function; Modestum; International Electronic Journal of Mathematics Education; 15; 1; 5-2019; 1-71306-3030CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.iejme.com/article/from-powers-to-exponential-function-5774info:eu-repo/semantics/altIdentifier/doi/10.29333/iejme/5774info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:42:38Zoai:ri.conicet.gov.ar:11336/125583instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:42:38.361CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv From Powers to Exponential Function
title From Powers to Exponential Function
spellingShingle From Powers to Exponential Function
Sureda Figueroa, Diana Patricia
TEACHER TRAINING
EMPOWERMENT
EXPONENTIAL FUNCTION
title_short From Powers to Exponential Function
title_full From Powers to Exponential Function
title_fullStr From Powers to Exponential Function
title_full_unstemmed From Powers to Exponential Function
title_sort From Powers to Exponential Function
dc.creator.none.fl_str_mv Sureda Figueroa, Diana Patricia
Otero, Maria Rita
author Sureda Figueroa, Diana Patricia
author_facet Sureda Figueroa, Diana Patricia
Otero, Maria Rita
author_role author
author2 Otero, Maria Rita
author2_role author
dc.subject.none.fl_str_mv TEACHER TRAINING
EMPOWERMENT
EXPONENTIAL FUNCTION
topic TEACHER TRAINING
EMPOWERMENT
EXPONENTIAL FUNCTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
dc.description.none.fl_txt_mv The construction of the exponential function of a real exponent from the definition of the powers of a real number, and its properties, requires the notion of successions, a decimal approximation of a rational number, convergence, and limit of a function. In Argentina, this construction would exceed what could be taught at the secondary level, but it provides advanced students of teachers in mathematics, and teachers in practice, the possibility of discussing what happens in the case of irrational exponents of the type aπ, or discuss the validity of the properties of this type of power.
Fil: Sureda Figueroa, Diana Patricia. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina
Fil: Otero, Maria Rita. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina
description The construction of the exponential function of a real exponent from the definition of the powers of a real number, and its properties, requires the notion of successions, a decimal approximation of a rational number, convergence, and limit of a function. In Argentina, this construction would exceed what could be taught at the secondary level, but it provides advanced students of teachers in mathematics, and teachers in practice, the possibility of discussing what happens in the case of irrational exponents of the type aπ, or discuss the validity of the properties of this type of power.
publishDate 2019
dc.date.none.fl_str_mv 2019-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/125583
Sureda Figueroa, Diana Patricia; Otero, Maria Rita; From Powers to Exponential Function; Modestum; International Electronic Journal of Mathematics Education; 15; 1; 5-2019; 1-7
1306-3030
CONICET Digital
CONICET
url http://hdl.handle.net/11336/125583
identifier_str_mv Sureda Figueroa, Diana Patricia; Otero, Maria Rita; From Powers to Exponential Function; Modestum; International Electronic Journal of Mathematics Education; 15; 1; 5-2019; 1-7
1306-3030
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.iejme.com/article/from-powers-to-exponential-function-5774
info:eu-repo/semantics/altIdentifier/doi/10.29333/iejme/5774
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Modestum
publisher.none.fl_str_mv Modestum
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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