Elizabeth Montoya Delgadillo- Professor at Pontifical Catholic University of Valparaíso
Elizabeth Montoya Delgadillo
- Professor at Pontifical Catholic University of Valparaíso
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25
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Publications
Publications (25)
Contribución desde los investigadores en didáctica de la matemática de la Pontificia Universidad Católica de Valparaíso a la comunidad de Educación Matemática de habla hispana centrado en los Pensamientos:
-Pensamiento Probabilístico
-Pensamiento Matemático
-Pensamiento Variacional
-Pensamiento Matemático Avanzado
-Pensamiento Infinitesimal
-Pensam...
In this paper we studied the personal mathematical work of 14 students in initial teacher training, in their first year of studies at a public university in Chile, based on two tasks on complex numbers. These tasks were set in a Computer Aided Assessment System (CAA) based on Moodle and Wiris and it was proposed to solve them using different Comput...
The objective of this qualitative research is to study the mathematical work when solving a mathematical task in the domain of probability presented by Chilean high school mathematics teachers in pre-service and in-service training. We consider as theoretical support the Mathematical Working Space model and methodological design of a collective cas...
The purpose of the chapter is to identify and present the future challenges of the theory of MWS, on which we believe future research must make progress. The guiding idea of the chapter is to deepen the study of mathematical work through different perspectives by considering various mathematical domains, other scientific fields and looking beyond t...
This chapter is dedicated to situating the theory of MWS and addressing its dialogue with other theories in mathematics education research. After describing the theoretical environment in which the theory was conceived, the question of mathematical work is further explored by considering philosophical and epistemological aspects. These consideratio...
The reference Mathematical Working Space (reference MWS) clarifies the environment in which mathematical work should be undertaken in an educational context. This chapter looks at how the reference MWS can be described and accessed through different approaches: institutional–organizational, historical–epistemological and cognitive. We situate the r...
We studied mathematical modellingMathematical modelling in the engineer trainingEngineer training program by contrasting the problems presented by an engineering professor in a course that is part of the structural analysisStructural analysis professional education core and the modelling carried out in a project that was developed by students withi...
La investigación en estadística temprana requiere atender a la progresión del aprendizaje estadístico, en especial, a la capacidad de los estudiantes de primaria de crear representaciones que involucran datos en contextos reales. Esta investigación cualitativa describe y caracteriza una lección de estadística relacionada con el análisis exploratori...
With interest in the training of mathematics teachers in the area of analysis and considering the theoretical framework called Mathematical Working Spaces (ETM) (Kuzniak, Tanguay & Elia, 2016) different perspectives open to go in depth with the form of mathematical work such as modelling (Montoya Delgadillo, Viola & Vivier, 2017). The aim of this r...
The three localization perspectives— punctual, local and global—initially proposed for functions, are used to study the objects of Analysis. We provide two examples of how they can support mathematical work: computing the tangent to a curve and computing the limit of a function.
El presente trabajo aborda la relación entre los modelos Espacio de Trabajo Matemático (ETM) y Conocimiento Especializado del Profesor de Matemáticas (MTSK) a través del análisis de episodios de clases donde se trata el concepto de función, particularmente el cálculo de pre imágenes. En dichos episodios se identifican elementos que permiten un anál...
The representation of multiplication in the number system of the Complex Numbers is usually presented with a strong emphasis in the algebraic aspect that brings a partial comprehension of this property. On the basis of the foregoing, the current study investigates the learning process of the multiplication of complex numbers in order to teach this...
En este trabajo estudiamos la estabilidad epistemológica de profesores debutantes. Para ello, hemos hecho un estudio cualitativo de su ETM-idóneo en el momento en que desarrollan un dominio matemático con sus estudiantes, de modo de clarificar los elementos que ponen en juego cuando despliegan una tarea en el aula. Mostramos resultados relativos al...
En esta investigación se muestran resultados de un estudio con profesores de matemática de liceo en Chile, en temáticas de geometría euclidiana que articulan los enfoques sintético y analítico. El estudio presenta una situación de referencia que favorece ciertas rutas de trabajo específicas. La investigación se sustenta en el enfoque Espacio de Tra...
Mathematical working space (MWS) is a model that is used in research in mathematics education, particularly in the field of geometry. Some MWS elements are independent of the field while other elements must be adapted to the field in question. In this paper, we develop the MWS model for the field of analysis with an identification of paradigms. We...
Epistemological obstacles often have deep roots in Mathematics itself; those roots can be explored in the history of the discipline, and are characterized both by the persistence with which they reappear in various situations and the determining role that they play for the achievement of learning. These obstacles often remain unnoticed by the instr...
Epistemological obstacles often have deep roots in Mathematics itself; those roots can be explored in the history of the discipline, and are characterized both by the persistence with which they reappear in various situations and the determining role that they play for the achievement of learning. These obstacles often remain unnoticed by the instr...
En aquest treball vam mostrar els resultats d'un estudi realitzat sobre el treball matematic de dos professors novells en la seva practica a l'aula, quan les tematiques involucren els enfocaments de geometria euclidiana sintetics i analitics. Presentem l'Espai de Treball Matematic (ETM) idoni de cada docent, especificament les circulacions entre le...
En este trabajo se presenta un estudio de casos, como parte de un seguimiento de las prácticas de aula de profesores debutantes realizado por los autores. Entre otros aspectos, hemos observado que en tales prácticas el Álgebra interviene en los otros dominios a tal punto que esos profesores inducen a sus alumnos en un Espacio de Trabajo Matemático...
La ensenanza-aprendizaje de la demostracion suele aparecer como objetivo explicito del curriculo del liceo; sin embargo, no ocurre lo mismo en el curriculo universitario de formacion (inicial) de profesores, esto es, la ensenanza-aprendizaje de la demostracion no es considerada objeto matematico sujeto a transposicion. Utilizamos la Teoria de los P...
Research on Mathematical Work Spaces has been developed for more than fifteen years in the field of Geometry. Taking advantage of international meetings, it has been necessary to develop this framework to other fields such as Algebra, Analysis and Probability. In this context, we are interested in articulating mathematical fields in the mathematica...
