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Análisis de la demanda cognitiva de problemas de patrones geométricos

Authors: Benedicto, C.; Jaime, A.; Gutiérrez, Á.;

Análisis de la demanda cognitiva de problemas de patrones geométricos

Abstract

El modelo de la demanda cognitiva es un instrumento para valorar el esfuerzo cognitivo que deben realizar los estudiantes al resolver problemas de matemáticas. Analizamos dicho modelo, lo mejoramos y lo adaptamos a los problemas de patrones geométricos. Ejemplificamos la aplicación del modelo valorando las demandas cognitivas experimentadas por varios estudiantes con alto talento matemático al resolver un problema de patrones geométricos. Otros investigadores valoran la demanda cognitiva de los problemas a partir de sus enunciados, pero este texto muestra una aplicación novedosa del modelo analizando también las respuestas de estudiantes.

The model of cognitive demand is a tool to assess the cognitive effort students have to do to solve mathematical problems. We analyse this model, improve it, and adapt it to the geometric patterns problems. We exemplify the application of the model by assessing the cognitive demand several mathematically talented students experienced to solve a geometric pattern problem. Other researchers assess the cognitive demand of problems just analysing their statements, but this paper shows a novel application of the cognitive demand model by analysing also students’ answers.

Esta investigación es parte del proyecto Análisis de procesos de aprendizaje de estudiantes de altas capacidades matemáticas de Primaria y ESO en contextos de actividades matemáticas ricas (EDU2012-37259).

Keywords

Triangular numbers, Mathematical talent, Talento matemático, Números triangulares, Demanda cognitiva, Cognitive demand, Didáctica de la Matemática, Geometric patterns, Patrones geométricos

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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