Universidades de tercera generación en Colombia

La integración de las universidades de corte tradicional a la moderna sociedad mediante la aplicación de programas académicos de formación de profesionales competentes, que incluyan en sus currículos espacios adecuados de interacción de los estudiantes con el sector productivo, propiciando el aprendizaje mediante la ejecución de proyectos de aplicación real e inmediata en alianza con la industria para impulsar el desarrollo técnico económico, primero regional y luego expandir su accionar con visión global, es una necesidad para dar pasos contundentes y sacar por fin al país del subdesarrollo

Solución de la ecuación con retardo de primer orden por medio de la transformada de Laplace

En la modelación en diversos fenómenos de la naturaleza ha demostrado que las ecuaciones con retardo son una herramienta poderosa que muestra datos que en general co n las ecuaciones de tiempo presente no se tienen. En general el estudio cualitativo es la herramienta que aborda el estudio de las ecuaciones, sin embargo, a veces algunas ecuaciones se pueden resolver utilizando diversas herramientas matemáticas. En este artículo utilizamos la Transformada de Laplace para resolver un caso particular de la ecuación con retardo constante de primer orden.In the modeling in diverse phenomena of the nature it has demonstrated that the equations with retardation are a powerful tool that shows data that in general with the equations of present time are not had. In general the qualitative study is the tool that undertakes the study of the equations, nevertheless, sometimes some equations can be solved using diverse mathematical tools. In this article we used the Transformed one of Laplace to solve a particular case of the equation with constant retardation of first order

Dynamic geometry and square of the circle in Thomas Hobbes

This paper aims to present the reconstruction of the arguments offered by Thomas Hobbes about the classic problem of the squareness of the circle in the seventeenth century, from the perspective of the work: De Corpore of the same author. Where research is based on the support offered by Dynamic Geometry in the 21st century in the classroom with the use of GeoGebra software. This to be able to address and overcome the problems of the history of mathematical science and philosophy. For this it was chosen, by the methodology of a design of a teaching experiment in the classroom carried out with future teachers of the bachelor's degree in mathematics of 8th semester. Among the most important results is the recognition of renowned philosophers in the development of the history of mathematics. This implied that prospective mathematics teachers had to integrate their mathematical knowledge into the construction of the quadrature of the circle, which at the time was a problem for Hobbes, but with the perspective of modelling mathematical concepts in dynamic geometry, today it is done efficiently

Nuances of the philosophy of mathematics

Historically, the term philosophy of mathematical education is associated with the term philosophy of mathematics. However, mathematics as a mathematical education has its own foundations, schools, currents, and authors. Thus, it is possible to visualize from different research that one's own research with foundations in the philosophy of mathematics is stronger than in the philosophy of mathematical education. In order to base the present research on the philosophy of mathematics education, we have made use of a mixed method, which involves a quantitative analysis of the references made in Scopus databases through their search algorithms, in addition to a qualitative design under the contributions of the onto-semiotic approach and the Kantian synthetic analysis. When, trying to particularize the identity of the philosophy of mathematical education as an area of research in development, it is evident among the main approaches: (i) the identity process of the philosophy of mathematical education is still under construction; and, (ii) recognize the decoloniality of mathematical knowledge, imposed for centuries by Western mathematics, and backed by a single philosophy of mathematics

Lesson study as a basis for mathematical practice at the university level

The aim of this paper is to present the importance of the teaching practice of the future professor of mathematics in a Colombian public university, through the application of the Japanese methodology of lesson study. This methodology is proposed as a set of skills and daily practices that the future professor of physics or mathematics must develop for the preparation of the class as proposed in the paper. Among the main results that the research found is the importance of the practice of lesson study for the teaching of science in general, with emphasis on physics and mathematics, although this methodology can also be applied to the human sciences. On the other hand, the research recognizes that the use of this method should be assumed as part of the process of formation of the student of mathematics, physics or any discipline that requires preparation of the classes for the teaching process. It contributes to the professional profile of the future teacher in terms of quality and professionalism of the teaching work. Thus, it can be concluded that, the teaching of mathematics from this approach is a positive resource in the training of the teacher of mathematics, or any discipline such as physics that wants to implement it, because, it is being reflected in the didactic work that mathematics, or any science wants to exercise in the pedagogical and didactic process of the classroom through the teaching practice and, later on, in the professional work of each probationer

Geometry for design: approaches to the study of representation and dimension and their contributions to the modeling of phenomena

The difficulties of representation and understanding of the dimension are evident in the different educational levels. University education is no stranger to this situation. This communication was developed within the framework of the graphic design course. This course was designed under the use of specialized software in geometry, which was freely available and intuitive. It should be remembered that the adequate use of representations and attributes proper to the dimension aids in the representations of movement phenomena, as well as in the representations in force diagrams in the teaching of physics. This qualitative research aims to address aspects of representation and dimensionality from the description of some selected tasks of the group participants, who contrast the first representations, with their final activities. That is, these representations showed their evolution in construction, to the extent that the flat representations of objects in the portfolio were built in real dimensions, keeping the proportional relationship between its parts

Kant - Eduación y pedagogía

Este artículo desarrolla brevemente el pensamiento educativo de Kant. Se refiere al sentido de la educación; a sus dimensiones y a la pedagogía; tratando de mostrar que dicho pensamiento se comprende desde los planteamientos que él hace en materia de moral y que es de gran actualidad

Teoría de la educación según el racionalismo crítico de Karl Poppe : bases epistemológicas y teoría sociopolítica

Seguramente las ideas de Popper representan buena parte del desarrollo filosófico más importante del siglo XX. Desde su contexto académico y desde la reconstrucción de sus planteamientos epistemológicos y sociopolíticos puede inferirse su concepción educativa, según la cual, el desarrollo del espíritu investigativo puede contribuir al fortalecimiento de la democracia. Aquí explicitamos los fundamentos de tal concepción. En la elaboración de esta obra se tuvieron en cuenta aportes de quienes, de manera permanente o esporádica, formaron o forman parte del Grupo de Investigación Mundo 3 de la Escuela de Filosofía y Humanidades de la Universidad Sergio Arboleda

Estadística descriptiva multivariada

IlustracionesEl texto del profesor Campo Elías Pardo aborda en forma rigurosa los análisis de componentes principales, de correspondencias simples y múltiples, y algunos de los métodos más importantes de clasificación. Estos temas tienen una vigencia indiscutible y los métodos han sido incorporados a lo que se conoce como minería de datos, donde el resumen y la clasificación cumplen un papel importante para el reconocimiento de patrones. La exposición teórica es clara y concisa. El aporte del autor se hace presente en la forma como la resume y organiza para que su estudio sea fluido y provechoso con base en los ejemplos. El código programado para los análisis es un factor motivador para seguir el libro de manera activa, y sirve de guía para aplicar los métodos en el ejercicio profesional. Al final de cada capítulo, presenta ejemplos de aplicación resueltos y propone ejercicios y talleres muy originales que reflejan el esfuerzo por ofrecer los resultados de un trabajo personal calificado. Es un valor agregado importante del texto. (Texto tomado de la fuente).Incluye índice analíticoPrimera edició