VILLABONA MILLAN, DIANA PAOLA
PEDAGOGÍA · Nivel C
Desde 2023 es Researcher en Center for Research and Advanced Studies of the National Polytechnic Institute
My research has focused on the construction of advanced mathematical knowledge, particularly on the notion of mathematical infinity in paradoxical contexts, Calculus, Set Theory, and Fractal Geometry. I have also worked with some concepts from Linear Algebra, such as linear...
My research has focused on the construction of advanced mathematical knowledge, particularly on the notion of mathematical infinity in paradoxical contexts, Calculus, Set Theory, and Fractal Geometry. I have also worked with some concepts from Linear Algebra, such as linear transformation, preimage, and vector space, as well as with the concept of function in Calculus. A central interest of my work has been to analyze and establish the nature of the cognitive elements related to the construction of mathematical knowledge; for this reason, I have focused my research on the empirical characterization of the theoretical constructs proposed by APOS theory.
| Nombre | DIANA PAOLA VILLABONA MILLAN |
|---|---|
| Área | CIENCIAS DE LA CONDUCTA Y LA EDUCACIÓN |
| Campo | PEDAGOGÍA |
| Disciplina | OTRAS ESPECIALIDADES PEDAGÓGICAS |
| Especialidad | OTRAS |
| CVU | 783398 |
| Institución | |
|---|---|
| Dependencia | DEPARTAMENTO DE MATEMATICA EDUCATIVA |
| Entidad | CIUDAD DE MEXICO |
| Nivel | C |
| Vigencia | Inicio: 01/01/2025 |
| Fin: 31/12/2028 |
Publicaciones ORCID
- 2025
- Comprensión de los intervalos de confianza: Una caracterización de las relaciones entre los elementos de su Esquema cognitivo Revista Latinoamericana de Investigación en Matemática Educativa
- 2024
- Acting on totalities of infinite processes: constructing facets of an object conception ZDM – Mathematics Education
- Poniendo la lupa en la Acción: ¿Qué tan sencilla o compleja puede ser?
- 2022
- Transitional points in constructing the preimage concept in linear algebra International Journal of Mathematical Education in Science and Technology
- Concepciones dinámicas y estáticas del infinito: procesos continuos y sus totalidades Enseñanza de las Ciencias. Revista de investigación y experiencias didácticas
- 2020
- Process conception of linear transformation from a functional perspective
- 2016
- Procesos iterativos infinitos y objetos trascendentes: un modelo de construcción del infinito matemático desde la teoría APOE Educacion Matematica
- 2015
- La Construcción de Curvas Fractales como Objetos que Transcienden de Procesos Iterativos Infinitos.