Palabras clave
símbolo
estudiantes de posgrado
representación
manipulación
algebraic thinking
symbol
graduate students
graphic representation
manipulation
Cómo citar
Resumen
Se ha documentado que estudiantes de primaria elaboran representaciones no convencionales para comprender actividades que involucran el pensamiento algebraico y expresar generalizaciones. Sin embargo, se desconoce el tipo de representación que elaboran estudiantes de niveles educativos avanzados y cómo cambia a medida que se transita de actividades de aritmética generalizada a otras de pensamiento funcional. Se analizaron las representaciones elaboradas por estudiantes de posgrado en Matemática Educativa. Los principales resultados son: réplica de los tipos de representación reportados en la literatura; identificación de un nuevo tipo de representación, “eje coordenado”; uso de conceptos matemáticos más sofisticados; y la identificación de algunos errores reportados en la literatura. Los resultados se discuten en función de la manipulación de los tipos de representación identificados, resaltando el significado de los conceptos empleados en la representación.
External representations in graduate students´ algebraic thinking: analyzing uses and meanings
Abstract
The literature of Algebraic Thinking has documented that elementary students use unconventional representations to understand activities and express generalizations. However, the nature of the representations that graduate students make and how these representations change across general arithmetic and functional thinking remain unknown. We analyze the external representations developed by graduate students in Educational Mathematics. Between the main results, the same kind of representations were replicated, a new type was identified, and the use of more sophisticated mathematical concepts was demonstrated. We also found that graduate students made similar mistakes to those reported by elementary students. We discussed the results, considering the manipulation of the representations, as they illustrate the mathematical concepts.
Citas
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Derechos de autor 2026 Ana Medrano, Maythe García, Alma Ortega, Abraham Moreno, Yeli Rodríguez, Alfonso Rosario, Sindi Marcia