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A Knowledge-Skill-Competencies e-Learning Model in Mathematics

Conocimientos, destrezas y competencias: un modelo para aprender matemáticas en un entorno virtual


This paper concerns modelling competence in mathematics in an e-learning environment. Competence is something complex, which goes beyond the cognitive level, and involves meta-cognitive and non-cognitive factors. It requires students to master knowledge and skills and at least some measurable abilities, which Niss calls ‘competencies’. We present a model that exploits the innovative technological features of the IWT platform to define a personalised learning experience allowing students to increase their competence in mathematics. It is based on knowledge and skills representations by means of a graph metaphor, and on a theoretical framework for modelling competence.


Este trabajo se centra en la competencia matemática en un entorno de aprendizaje virtual. La competencia es algo complejo, que trasciende el nivel cognitivo, e implica factores metacognitivos y no cognitivos. Exige de los estudiantes su dominio sobre conocimientos y destrezas y, por lo menos, sobre algunas capacidades medibles, a las que Niss llama «competencias específicas» [competencies]. El modelo que presentamos utiliza las innovadoras características tecnológicas de la plataforma IWT para definir una experiencia de aprendizaje personalizado que permite a los estudiantes aumentar su competencia en matemáticas. Se basa en la representación de conocimientos y destrezas mediante metáforas gráficas y en un marco teórico para modelar la competencia.


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Correspondence to Dr Giovannina Albano.

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Albano, G. A Knowledge-Skill-Competencies e-Learning Model in Mathematics. Revista de Universidad y Sociedad del Conocimiento 9, 306–319 (2012).

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  • mathematics learning
  • knowledge
  • skill
  • competence
  • competency
  • e-learning

Palabras clave

  • aprendizaje de matemáticas
  • conocimientos
  • destrezas
  • competencia
  • competencia específica
  • aprendizaje virtual