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Different methods for solving STEM problems
(Journal of Mathematical Chemistry, 2019-05)
We first present a local convergence analysis for some families of fourth and six order methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Earlier studies have used ...
Unified local convergence for newton's method and uniqueness of the solution of equations under generalized conditions in a Banach space
(Mathematics, 2019-05)
Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton's method, and of the uniqueness ball ...
3D visualization through the hologram for the learning of area and volume concepts
(Mathematics, 2019-02-26)
This study aims to implement and evaluate a methodological proposal using the hologram as a teaching medium for the learning of concepts related to areas and volumes of geometrical bodies. The study has been carried out ...
Weaker conditions for inexact mutitpoint Newton-like methods
(Journal of Mathematical Chemistry, 2020-01)
In this paper we study the problem of analyzing the convergence both local and semilocal of inexact Newton-like methods for approximating the solution of an equation in which there exists nondifferentiability. We will ...
Advances in the Semilocal Convergence of Newton's Method with Real-World Applications
(Mathematics, 2019-03-24)
The aim of this paper is to present a new semi-local convergence analysis for Newton's method in a Banach space setting. The novelty of this paper is that by using more precise Lipschitz constants than in earlier studies ...
The Kumon Method: Its Importance in the Improvement on the Teaching and Learning of Mathematics from the First Levels of Early Childhood and Primary Education
(Mathematics, 2019-01)
The present work gathers an educational experience based on the application of the personalized Kumon Mathematics Method, carried out in the school year 2015-2016, in which 30,849 students and 230 teachers from several ...
Herramienta pedagógica basada en el desarrollo de una aplicación informática para la mejora del aprendizaje en matemática avanzada
(Revista Española de Pedagogía, 2019-09-01)
El estudio dinámico de los métodos iterativos ha aumentado en las últimas décadas debido al desarrollo de los ordenadores, aspecto por el cual se ha visto la necesidad de incluir la enseñanza de estos métodos en los planes ...
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
(Journal of Mathematical Chemistry, 2016-08)
We present a local convergence analysis of a derivative free fourth order method with one parameter based on rational interpolation in order to approximate a locally unique root of a function. The method is optimal in the ...
Local convergence of a relaxed two-step Newton like method with applications
(Journal of Mathematical Chemistry, 2017-08)
We present a local convergence analysis for a relaxed two-step Newton-like method. We use this method to approximate a solution of a nonlinear equation in a Banach space setting. Hypotheses on the first Fr,chet derivative ...
Itinerarios de aprendizaje para trabajar Probabilidad matemática en futuros maestros en un escenario online con Deck.Toys
(RIED-Revista Iberoamericana de Educación a Distancia, 2022)
El trabajo de Probabilidad desde la etapa de Educación Secundaria Obligatoria y durante el Bachillerato no está generalmente contextualizado y se basa principalmente en el aprendizaje memorístico de fórmulas. Por tanto, ...