La igualdad de n�meros racionales

Descripción del Articulo

Equality is a relationship that is defined between numbers. The three most important properties of equality are summarized in a mathematical structure known as an equivalence relationship. But mathematics goes far beyond "its application", although the various practical purposes have influ...

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Detalles Bibliográficos
Autor: V�squez S�nchez, Rigoberto
Formato: otro
Fecha de Publicación:2020
Institución:Universidad Nacional de Trujillo
Repositorio:UNITRU-Tesis
Lenguaje:español
OAI Identifier:oai:dspace.unitru.edu.pe:20.500.14414/15639
Enlace del recurso:https://hdl.handle.net/20.500.14414/15639
Nivel de acceso:acceso abierto
Materia:Educaci�n
Matem�ticas
N�meros racionales
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dc.title.es_PE.fl_str_mv La igualdad de n�meros racionales
title La igualdad de n�meros racionales
spellingShingle La igualdad de n�meros racionales
V�squez S�nchez, Rigoberto
Educaci�n
Matem�ticas
N�meros racionales
title_short La igualdad de n�meros racionales
title_full La igualdad de n�meros racionales
title_fullStr La igualdad de n�meros racionales
title_full_unstemmed La igualdad de n�meros racionales
title_sort La igualdad de n�meros racionales
author V�squez S�nchez, Rigoberto
author_facet V�squez S�nchez, Rigoberto
author_role author
dc.contributor.author.fl_str_mv V�squez S�nchez, Rigoberto
dc.subject.es_PE.fl_str_mv Educaci�n
Matem�ticas
N�meros racionales
topic Educaci�n
Matem�ticas
N�meros racionales
description Equality is a relationship that is defined between numbers. The three most important properties of equality are summarized in a mathematical structure known as an equivalence relationship. But mathematics goes far beyond "its application", although the various practical purposes have influenced its development, its very intrinsic interest has been fundamental in it. The development of theoretical and applied mathematics are certainly interrelated, multiple mathematical theoretical developments have allowed to model and advance in fields of the natural or social sciences, also the need to solve practical problems humanity has driven important discoveries of theoretical mathematics. It is therefore extremely important to present situations and contexts that allow the student to modify his conceptions and begin to understand the true nature of mathematics; situations, that allow them to move forward from the level of solving problems pragmatic or every day to understand mathematics itself. This type of context can be found, for example, in geometry, geometric demonstrations of arithmetic or algebraic properties allow transcending the meanings of equality and equivalence in routine contexts linked exclusively to clearly operational and day-to-day problems.
publishDate 2020
dc.date.accessioned.none.fl_str_mv 01/21/2020 14:28:53
dc.date.available.none.fl_str_mv 01/21/2020 14:28:53
dc.date.issued.fl_str_mv 2020
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dc.publisher.es_PE.fl_str_mv Universidad Nacional de Trujillo
dc.source.es_PE.fl_str_mv Universidad Nacional de Trujillo
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spelling V�squez S�nchez, Rigoberto01/21/2020 14:28:5301/21/2020 14:28:532020https://hdl.handle.net/20.500.14414/15639Equality is a relationship that is defined between numbers. The three most important properties of equality are summarized in a mathematical structure known as an equivalence relationship. But mathematics goes far beyond "its application", although the various practical purposes have influenced its development, its very intrinsic interest has been fundamental in it. The development of theoretical and applied mathematics are certainly interrelated, multiple mathematical theoretical developments have allowed to model and advance in fields of the natural or social sciences, also the need to solve practical problems humanity has driven important discoveries of theoretical mathematics. It is therefore extremely important to present situations and contexts that allow the student to modify his conceptions and begin to understand the true nature of mathematics; situations, that allow them to move forward from the level of solving problems pragmatic or every day to understand mathematics itself. This type of context can be found, for example, in geometry, geometric demonstrations of arithmetic or algebraic properties allow transcending the meanings of equality and equivalence in routine contexts linked exclusively to clearly operational and day-to-day problems.La igualdad es una relaci�n que se define entre n�meros. Las tres propiedades m�s importantes de la igualdad se resumen en una estructura matem�tica que se conoce como relaci�n de equivalencia. Pero la matem�tica va mucho m�s all� de �su aplicaci�n�, si bien los diversos prop�sitos pr�cticos han influido en su desarrollo, su mismo inter�s intr�nseco ha sido fundamental en �l. El desarrollo de la matem�tica te�rica y aplicada est�n desde luego interrelacionados, m�ltiples desarrollos te�ricos matem�ticos han permitido modelar y avanzar en campos de las ciencias naturales o sociales, as� mismo, la necesidad de resolver problemas pr�cticos de la humanidad ha impulsado importantes descubrimientos de la matem�tica te�rica. En consecuencia es sumamente importante presentar situaciones y contextos que permitan al estudiante modificar sus concepciones y empezar a comprender la verdadera naturaleza de la matem�tica; situaciones, que les permitan avanzar del nivel de solucionar problemas pragm�ticos o cotidianos a entender la matem�tica en s� misma. Este tipo de contextos se pueden encontrar por ejemplo, en la geometr�a, las demostraciones geom�tricas de propiedades aritm�ticas o algebraicas permiten trascender los significados de la igualdad y la equivalencia en contextos rutinarios ligados exclusivamente a la soluci�n de problemas netamente operatorios y cotidianos. _x000D_ As� tenemos el prop�sito de la sesi�n es resuelve problemas de regularidad, equivalencia y cambio. Usa estrategias y procedimientos para encontrar equivalencias y reglas generales.Trabajo de suficiencia profesionalspaUniversidad Nacional de TrujilloTSPEDC-S/ 2020/ 018;info:eu-repo/semantics/openAccessttp://creativecommons.org/licenses/by-nc-nd/2.5/pe/Universidad Nacional de TrujilloRepositorio institucional - UNITRU;reponame:UNITRU-Tesisinstname:Universidad Nacional de Trujilloinstacron:UNITRUEducaci�nMatem�ticasN�meros racionalesLa igualdad de n�meros racionalesinfo:eu-repo/semantics/otherT�tulo ProfesionalLicenciado en Educaci�n Secundaria Menci�n Ciencias Matem�ticasEducaci�n SecunadiaUniversidad Nacional de Trujillo.Facultad de Educaci�n y Ciencias de la Comunicaci�nORIGINALVASQUEZ SANCHEZ RIGOBERTO.pdfVASQUEZ SANCHEZ RIGOBERTO.pdfapplication/pdf2922220https://dspace.unitru.edu.pe/bitstreams/39a511d8-d862-4e1c-a407-15e394efda4e/download6968546107a4c8fc7a2ad06c3a49f68eMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://dspace.unitru.edu.pe/bitstreams/cf7b0f93-a9d1-4d62-a8b8-9897320de111/download8a4605be74aa9ea9d79846c1fba20a33MD5220.500.14414/15639oai:dspace.unitru.edu.pe:20.500.14414/156392024-04-21 12:07:57.441ttp://creativecommons.org/licenses/by-nc-nd/2.5/pe/info:eu-repo/semantics/openAccessopen.accesshttps://dspace.unitru.edu.peRepositorio Institucional - UNITRUrepositorios@unitru.edu.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