A framework for the design of adaptive curriculum focused on the development of mathematical thinking
The objective of this research was to design a methodology for the design of adaptive curricula that favor the development of mathematical thinking, taking into account the learning conditions of the students. In this work, the learning conditions related to the modes of thought proposed by Sierpins...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Tesis y disertaciones (Maestría y/o Doctorado) |
| Language: | eng |
| Published: |
Universidad Antonio Nariño
2022
|
| Subjects: | |
| Online Access: | http://repositorio.uan.edu.co/handle/123456789/7162 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1812647615005720576 |
|---|---|
| author | Díez Fonnegra, Carlos Alberto |
| author2 | Falk de Losada, Mary |
| author_facet | Falk de Losada, Mary Díez Fonnegra, Carlos Alberto |
| author_sort | Díez Fonnegra, Carlos Alberto |
| collection | DSpace |
| description | The objective of this research was to design a methodology for the design of adaptive curricula that favor the development of mathematical thinking, taking into account the learning conditions of the students. In this work, the learning conditions related to the modes of thought proposed by Sierpinska (2000) were especially considered, since these modes are related to linear algebra, which was the field of mathematics where this research was applied. For this, the design-based research method was used, within the qualitative research approach. Following this method, a test for the characterization of ways of thinking (geometric and arithmetic) was elaborated and an adaptable learning system (ALMS) was built for the management of the , of which two iterations were carried out in its implementation. with students of courses related to linear algebra. From this, it was possible to identify essential characteristics that adaptive curricula must contain to favor the development of mathematical thinking, thus surpassing the current state in the design of this type of curricula, fundamentally focused on learning outcomes and not in the thought processes involved. |
| format | Tesis y disertaciones (Maestría y/o Doctorado) |
| id | repositorio.uan.edu.co-123456789-7162 |
| institution | Repositorio Digital UAN |
| language | eng |
| publishDate | 2022 |
| publisher | Universidad Antonio Nariño |
| record_format | dspace |
| spelling | repositorio.uan.edu.co-123456789-71622024-10-09T22:57:37Z A framework for the design of adaptive curriculum focused on the development of mathematical thinking Díez Fonnegra, Carlos Alberto Falk de Losada, Mary Sistema de gestión del aprendizaje adaptativo Pensamiento matemático Álgebra lineal (vectores) Educación adaptativa Modos de pensamiento Adaptive Learning Management System Mathematical thinking Linear algebra (vectors) Adaptive education Modes of thinking The objective of this research was to design a methodology for the design of adaptive curricula that favor the development of mathematical thinking, taking into account the learning conditions of the students. In this work, the learning conditions related to the modes of thought proposed by Sierpinska (2000) were especially considered, since these modes are related to linear algebra, which was the field of mathematics where this research was applied. For this, the design-based research method was used, within the qualitative research approach. Following this method, a test for the characterization of ways of thinking (geometric and arithmetic) was elaborated and an adaptable learning system (ALMS) was built for the management of the , of which two iterations were carried out in its implementation. with students of courses related to linear algebra. From this, it was possible to identify essential characteristics that adaptive curricula must contain to favor the development of mathematical thinking, thus surpassing the current state in the design of this type of curricula, fundamentally focused on learning outcomes and not in the thought processes involved. Esta investigación tuvo como objetivo diseñar una metodología para el diseño de currículos adaptativos que favorezcan el desarrollo del pensamien to matemático atendiendo las condiciones de aprendizaje de los estudiantes. En este trabajo se consideraron especialmente las condiciones de aprendizaje relacionadas con los modos de pensamiento propuestos por Sierpinska (2000), dado que dichos modos están relacionados con el álgebra lineal, que fue el campo de las matemáticas donde se aplicó esta investigación. Para ello, se utilizó el método de investigación basada en diseño, dentro del enfoque cualitativo de investigación. Siguiendo este método, se elabo ró una prueba de caracterización de modos de pensamiento (geométrico y aritmético) y se construyó un sistema aprendizaje (ALMS, por sus siglas en inglés) adaptable para la gestión del , del que se realizaron dos iteracciones en su implementación con estudia ntes de cursos relacionados con el álgebra lineal. A partir de esto, se lograron identificar características esenciales que deben contener los currículos adaptativos para favorecer el desarrollo del pensamiento matemático, con lo que se supera el estado ac tual en el diseño de este tipo de currículos, centrado fundamentalmente en los resultados del aprendizaje y no en los procesos de pensamiento involucrados . Doctor(a) en Educación Matemática Doctorado Presencial Investigación 2022-10-14T16:22:05Z 2022-10-14T16:22:05Z 2022-01-22 Tesis y disertaciones (Maestría y/o Doctorado) info:eu-repo/semantics/acceptedVersion http://purl.org/coar/resource_type/c_bdcc http://purl.org/coar/version/c_970fb48d4fbd8a85 http://repositorio.uan.edu.co/handle/123456789/7162 Aiken, L. (1996) Test psicológicos y evaluación. México: Prentice Hall Hispanoamericana. Alameen, A., & Dhupia, B. (2019). Implementing Adaptive e-Learning Conceptual Model: A Survey and Comparison with Open Source LMS. International Journal of Emerging Technologies in Learning (iJET), 14(21), 28-45. Alshammari, M. T., & Qtaish, A. (2019). Effective Adaptive E-Learning Systems According to Learning Style and Knowledge Level. Journal of Information Technology Education(18), 529-547. Alzain, A. et al. (2018). Adaptive education based on learning styles: are learning style instruments precise enough? International Journal of Emerging Technologies in Learning,, 13(9), 41-52. Arnon, I. et al. (2014). APOS theory. A Framework for Research and Curriculum Development in Mathematics Education. New York: Springer. Arroyo, I. et al. (2014). A multimedia adaptive tutoring system for mathematics that addresses cognition, metacognition and affect. International Journal of Artificial Intelligence in Education, 24(4), 387-426. Berman, A. (2018). Using Challenging Problems in Teaching Linear Algebra. In Challenges and Strategies in Teaching Linear Algebra (pp. 369-378). Cham: Springer. Bertúa, J., & Denenberg, M. (2016). Un cambio metodológico y de contenidos en álgebra lineal. Revista de Educación Andrés Bello (4), 54-86 instname:Universidad Antonio Nariño reponame:Repositorio Institucional UAN repourl:https://repositorio.uan.edu.co/ eng Acceso abierto Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) https://creativecommons.org/licenses/by-nd/4.0/ info:eu-repo/semantics/openAccess http://purl.org/coar/access_right/c_abf2 application/pdf application/pdf application/pdf Universidad Antonio Nariño Doctorado en Educación Matemática Facultad de Ciencias Bogotá - Federmán |
| spellingShingle | Sistema de gestión del aprendizaje adaptativo Pensamiento matemático Álgebra lineal (vectores) Educación adaptativa Modos de pensamiento Adaptive Learning Management System Mathematical thinking Linear algebra (vectors) Adaptive education Modes of thinking Díez Fonnegra, Carlos Alberto A framework for the design of adaptive curriculum focused on the development of mathematical thinking |
| title | A framework for the design of adaptive curriculum focused on the development of mathematical thinking |
| title_full | A framework for the design of adaptive curriculum focused on the development of mathematical thinking |
| title_fullStr | A framework for the design of adaptive curriculum focused on the development of mathematical thinking |
| title_full_unstemmed | A framework for the design of adaptive curriculum focused on the development of mathematical thinking |
| title_short | A framework for the design of adaptive curriculum focused on the development of mathematical thinking |
| title_sort | framework for the design of adaptive curriculum focused on the development of mathematical thinking |
| topic | Sistema de gestión del aprendizaje adaptativo Pensamiento matemático Álgebra lineal (vectores) Educación adaptativa Modos de pensamiento Adaptive Learning Management System Mathematical thinking Linear algebra (vectors) Adaptive education Modes of thinking |
| url | http://repositorio.uan.edu.co/handle/123456789/7162 |
| work_keys_str_mv | AT diezfonnegracarlosalberto aframeworkforthedesignofadaptivecurriculumfocusedonthedevelopmentofmathematicalthinking AT diezfonnegracarlosalberto frameworkforthedesignofadaptivecurriculumfocusedonthedevelopmentofmathematicalthinking |
