La igualdad de números racionales
No Thumbnail Available
Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Nacional de Trujillo
Abstract
La igualdad es una relación que se define entre números. Las tres propiedades más importantes de la igualdad se resumen en una estructura matemática que se conoce como relación de equivalencia. Pero la matemática va mucho más allá de “su aplicación”, si bien los diversos propósitos prácticos han influido en su desarrollo, su mismo interés intrínseco ha sido fundamental en él. El desarrollo de la matemática teórica y aplicada están desde luego interrelacionados, múltiples desarrollos teóricos matemáticos han permitido modelar y avanzar en campos de las ciencias naturales o sociales, así mismo, la necesidad de resolver problemas prácticos de la humanidad ha impulsado importantes descubrimientos de la matemática teórica. 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 matemática; situaciones, que les permitan avanzar del nivel de solucionar problemas pragmáticos o cotidianos a entender la matemática en sí misma. Este tipo de contextos se pueden encontrar por ejemplo, en la geometría, las demostraciones geométricas de propiedades aritméticas o algebraicas permiten trascender los significados de la igualdad y la equivalencia en contextos rutinarios ligados exclusivamente a la solución de problemas netamente operatorios y cotidianos. Así tenemos el propósito de la sesión es resuelve problemas de regularidad, equivalencia y cambio. Usa estrategias y procedimientos para encontrar equivalencias y reglas generales.
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.
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.
Description
Keywords
Educación, Matemáticas, Números racionales