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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/125583
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:12:46Zoai: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:34982025-09-29 10:12:47.229CONICET 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 |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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13.070432 |