Learning Itineraries to Work Mathematic Probability with Future Teachers in an Online Scenario with Deck.Toys Tool

The work of Probability from the Compulsory Secondary Education stage and during the Baccalaureate is not generally contextualised and is, mainly, based on the rote learning of formulas. Therefore, when students arrive at university, a significant lack of knowledge related to the calculation of probabilities is evident. Teachers have to advocate for classroom strategies that help students to achieve lasting and contextualized learning and, even more, in areas such as Probability. This paper presents the design of a didactic proposal based on the use of gamified learning itineraries utilizing Deck.Toys digital tool for the learning of Probability in a sample of students of the Primary Education Degree who worked on an online environment. For this analysis, the outcomes obtained in two tests, initial and final, are collected in an experimental group that has used the tool and compared with those of a control group that worked in a traditional way. Moreover, the data of a survey of the evaluation of the user experience was also analysed. The results gained have been very satisfactory, the tests of comparison of means in the post-test shows a significant difference of 2.704 points more in the experimental group, taking into account that both groups were homogeneous. Likewise, the results of the satisfaction survey have been positive in terms of improving the understanding of both the procedures and the concepts involved on time management since students have been able to work at their own rhythm in an efficient way.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, cuando los estudiantes llegan a la universidad, se evidencia una importante falta de conocimientos relacionados con el cálculo de probabilidades. El profesorado debe abogar por estrategias en el aula que ayuden al estudiantado a lograr un aprendizaje duradero y contextualizado, más aún en áreas como la probabilidad. En este artículo se presenta el diseño de una propuesta didáctica basada en el uso de itinerarios de aprendizaje gamificados utilizando la herramienta digital Deck.Toys para el aprendizaje de la Probabilidad en una muestra de alumnos del Grado de Educación Primaria que trabajaban en un entorno online. Para el análisis, se recogen los resultados de dos pruebas, pretest y postest, en el grupo que ha utilizado la herramienta y en el que no forma online y se comparan los resultados obtenidos. Además, también se analizaron los datos de una encuesta de evaluación de la experiencia de usuario. Los resultados obtenidos muestran que la diferencia de medias en el postest es significativa de 2.704 puntos más en el grupo experimental, con un tamaño de efecto grande, aunque los grupos eran homogéneos. Asimismo, los resultados de la encuesta de satisfacción han sido positivos en cuanto a la mejora en la comprensión de los procedimientos y conceptos implicados y en la gestión del tiempo ya que han podido trabajar a su propio ritmo de forma eficiente

The Effects of Chlordane on Pregnant Mice and their Offspring

A thesis presented to the faculty of the School of Sciences and Mathematics at Morehead State University in partial fulfillment of the requirements for the Degree of Master of Science in Biology by Timothy W. Leonard on April 27, 1973

A study of 16 years old student learning strategies from a neuropsychological perspective: An intervention proposal

Scientific achievements related to brain processes provide innovation and improvements in students’ learning. The aim of this study was to analyse, relate, and compare learning strategies and academic performance of students from a neuropsychological perspective. For this, we applied the ACRA scale to 438 students to evaluate learning strategies such as acquisition, codification, retrieval and information processing support. Further, we analysed the influence of these strategies on academic performance. The results reveal that, with respect to academic performance, the students show lower scores on acquisition strategies and retrieval compared with the others, and they show more difficulties in Language and Chemistry and Physics. We found that the use of strategies was related to enhanced academic performance for all the students. We also found differences in the use of all strategies depending on academic performance. Thus, we propose an innovative, neuropsychological and technological intervention program that focuses on learning strategies.2017-1

Stability study of eighth-order iterative methods for solving nonlinear equations

[EN] In this paper, we study the stability of the rational function associated to a known family of eighth-order iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to the rational function is analyzed and the parameter space is shown, in which we find choices of the parameter for which there exists convergence to cycles or even chaotical behavior showing the complexity of the family. Moreover, some elements of the family with good stability properties are obtained. (C) 2015 Elsevier B.V. All rights reserved.This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-{01,02}.Cordero Barbero, A.; Magrenán, A.; Quemada, C.; Torregrosa Sánchez, JR. (2016). Stability study of eighth-order iterative methods for solving nonlinear equations. Journal of Computational and Applied Mathematics. 291:348-357. https://doi.org/10.1016/j.cam.2015.01.006S34835729

On the convergence of a damped-secant method with modified right-hand side vector

[EN] We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case when the method is defined on Ri , our method provides computable error estimates based on the initial data. Such estimates were not given in relevant studies such as (Herceg et al., 1996; Krejic´, 2002). Numerical examples further validating the theoretical results are also presented in this study.The authors thank to the anonymous referee for his/her valuable comments and for the suggestions to improve the final version of the paper. This work is partially supported by UNIR Research Support Strategy 2013-2015, under the CYBERSE-CURITICS.es Research Group [http://research.unir.net].Argyros, IK.; Cordero Barbero, A.; Magreñán Ruiz, ÁA.; Torregrosa Sánchez, JR. (2015). On the convergence of a damped-secant method with modified right-hand side vector. Applied Mathematics and Computation. 252:315-323. doi:10.1016/j.amc.2014.12.029S31532325

On the convergence of a higher order family of methods and its dynamics

[EN] In this paper, we present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family by means of studying the associated rational function. Parameter spaces are shown and the study of the stability of all the fixed points is presented. (C) 2016 Elsevier B.V. All rights reserved.This research was supported by Universidad Internacional de La Rioja (UNIR, http://www.unir.net), under the Plan Propio de Investigación, Desarrollo e Innovación 3 [2015–2017]. Research group: Modelación matemática aplicada a la ingeniería(MOMAIN), by the grant SENECA 19374/PI/14 and by Ministerio de Ciencia y Tecnología MTM2014-52016-C2-{01,02}-P.Argyros, IK.; Cordero Barbero, A.; Alberto Magreñán, A.; Torregrosa Sánchez, JR. (2017). On the convergence of a higher order family of methods and its dynamics. Journal of Computational and Applied Mathematics. 309:542-562. https://doi.org/10.1016/j.cam.2016.04.022S54256230

On high-order iterative schemes for the matrix pth root avoiding the use of inverses

This paper is devoted to the approximation of matrix pth roots. We present and analyze a family of algorithms free of inverses. The method is a combination of two families of iterative methods. The first one gives an approximation of the matrix inverse. The second family computes, using the first method, an approximation of the matrix pth root. We analyze the computational cost and the convergence of this family of methods. Finally, we introduce several numerical examples in order to check the performance of this combination of schemes. We conclude that the method without inverse emerges as a good alternative since a similar numerical behavior with smaller computational cost is obtained.The research of the authors S.A. and S.B. was funded in part by Programa de Apoyo a la investigación de la Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia 20928/PI/18 and by PID2019-108336GB-100 (MINECO/FEDER). The research of the author M.Á.H.-V. was supported in part by Spanish MCINN PGC2018-095896-B-C21. The research of the author Á.A.M. was funded in part by Programa de Apoyo a la investigación de la Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia 20928/PI/18 and by Spanish MCINN PGC2018-095896-B-C21

Collaborative learning: implementation of JigSaw technique in Google

[EN] The main purpose of this research is checking the effectiveness of some online collaborative learning techniques through the development and implementation of a Google-based environment which will let us develop the collaborative technique known as Jigsaw. The research has been carried out on maths students of a school in the Principality of Asturias.28 students from different school years and classes took part in the research and several teachers at the school also participated in it. We have used a quasiexperimental design with pre-test and post-test measures as well as an equivalent control group. We have also carried out a detailed study of the requirements needed to extract information about the problems of the implementation of online collaborative activities in the classroom and about the creation of such activities focused on the use of classroom blogs and interactive animations. The results of the analysis show that a methodology such as this exerts a positive influence not only on the students’ motivation but also on their academic achievements’ the aims of the work, the main results obtained, and the conclusions drawn.Orcos, L.; Arias, R.; Aris, N.; Magreñán, ÁA. (2016). Collaborative learning: implementation of JigSaw technique in Google. En 2nd. International conference on higher education advances (HEAD'16). Editorial Universitat Politècnica de València. 373-380. https://doi.org/10.4995/HEAD16.2015.2772OCS37338

A multistep Steffensen-type method for solving nonlinear systems of equations

[EN] This paper is devoted to the semilocal analysis of a high-order Steffensen-type method with frozen divided differences. The methods are free of bilinear operators and derivatives, which constitutes the main limitation of the classical high-order iterative schemes. Although the methods are more demanding, a semilocal convergence analysis is presented using weaker conditions than the classical Steffensen method.This work was supported supported in part by by Programa de Apoyo a la investigación de la fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia 19374/PI/14, by the project of Generalitat Valenciana Prometeo/2016/089 and the projects MTM2015-64382-P (MINECO/FEDER), MTM2014-52016-C2-1-P and MTM2014-52016-C2-2-P of the Spanish Ministry of Science and InnovationAmat, S.; Argyros, IK.; Busquier, S.; Hernández-Verón, MA.; Magreñán, AA.; Martínez Molada, E. (2020). A multistep Steffensen-type method for solving nonlinear systems of equations. Mathematical Methods in the Applied Sciences. 43(13):7518-7536. https://doi.org/10.1002/mma.5599S75187536431

On new means with interesting practical applications: generalized power means

Means of positive numbers appear in many applications and have been a traditional matter of study. In this work, we focus on defining a new mean of two positive values with some properties which are essential in applications, ranging from subdivision and multiresolution schemes to the numerical solution of conservation laws. In particular, three main properties are crucial—in essence, the ideas of these properties are roughly the following: to stay close to the minimum of the two values when the two arguments are far away from each other, to be quite similar to the arithmetic mean of the two values when they are similar and to satisfy a Lipchitz condition. We present new means with these properties and improve upon the results obtained with other means, in the sense that they give sharper theoretical constants that are closer to the results obtained in practical examples. This has an immediate correspondence in several applications, as can be observed in the section devoted to a particular example