Is small, small enough?: Students’ understanding the need for the definition of the derivative as a limit

• Ivy Kidron ^[1]
  1. [1] Jerusalem College of Technology

     Jerusalem College of Technology

     Israel

     
• Localización: International Journal for Technology in Mathematics Education, ISSN 1744-2710, Vol. 22, Nº. 1, 2015, págs. 31-41
• Idioma: inglés
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• Resumen

  • The research relates to undergraduate students’ understanding of mathematical concepts that relate to the conceptualisation of the continuous such as the notion of limit. The cognitive difficulties that accompany the learning of these concepts at the different stages of the mathematics education are well reported in the literature. I analyse the influence of activities based on the complementary aspects of discrete and continuous approaches on students’ conceptual understanding of the notion of limit in the derivative concept.

    The role played by the Computer Algebra System in permitting to achieve this discrete continuous interplay will be investigated as well.