Ministerio de Educacion

Cognitive Analysis on Prospective Mathematics Teachers’ Reasoning Using Area and Tree Diagrams

Giacomone, Belén; Beltrán-Pellicer, Pablo; Godino, Juan D. (2019). Cognitive Analysis on Prospective Mathematics Teachers’ Reasoning Using Area and Tree Diagrams. International Journal of Innovation in Science and Mathematics Education, 27(2), pp. 18-32 .

Vista Previa
PDF - Versión Publicada
Disponible bajo la licencia Creative Commons No Comercial Sin Derivar.



One of the challenges in mathematics education research is to provide a comprehensive description of mathematical activity carried out by university students. Taking this challenge as an objective, this paper analyses the answers of 30 prospective teachers of primary education to a typical mathematics problem on fractions using area and tree diagrams. Theoretical and methodological tools from the onto-semiotic approach to mathematical knowledge and instruction support the cognitive analysis; hence, the underlying complexity of applying the area diagram to express a multiplicative reasoning should be highlighted. However, the structure of the system of practices that have to be carried out to solve the problem in the tree diagram are better aligned with this kind of reasoning. Furthermore, the use of the natural language in order to communicate the answer has been observed as a necessary register. This result lead to a deeper comprehension of the role played by these two types of diagrams and of the mathematical objects that emerge from such representations. As a conclusion, the type of analysis presented here is revealed as a strategic tool for instructors of primary education students to emphasize the importance of meanings negotiation.

Tipo de Registro:Artículo
Términos clave:06. Aprendizaje > Cognición
10. Otras nociones de Educación Matemática > Sistemas de representación
05. Profesor > Formación de profesores > Inicial
13. Matemáticas escolares
05. Profesor > Formación de profesores
Otros términos clave específicos no incluidos en las secciones anteriores > T-Z > Visualización
Nivel Educativo:Formación Profesional
Código ID:12997
Depositado Por:Belén Giacomone
Depositado En:22 Feb 2019 18:13
Fecha de Modificación Más Reciente:07 Ago 2019 14:45

Personal del repositorio solamente: página de control del documento


Agregar Comentario