Una descomposición genética para el concepto de recta tangente

  1. Orts Muñoz, Abilio
  2. Llinares Ciscar, Salvador
  3. Boigues Planes, Francisco José
Livre:
Investigación en Educación Matemática XIX
  1. Fernández Verdú, Ceneida (coord.)
  2. Molina, Marta (coord.)
  3. Planas Raig, Núria (coord.)

Éditorial: Universidad de Alicante / Universitat d'Alacant

ISBN: 978-84-9717-385-8

Année de publication: 2015

Pages: 459-467

Congreso: Sociedad Española de Investigación en Educación Matemática. Simposio (19. 2015. Alicante)

Type: Communication dans un congrès

Résumé

We present a genetic decomposition of the concept of tangent line view as a hypothetical learning trajectory. To generate this genetic decomposition we performed a historical analysis of the genesis of the concept, analyzed different high school mathematics textbooks, conducted a synthesis of the findings of research on understanding the tangent line, and designed a questionnaire that was completed by high school students in a pilot study. The genetic decomposition generated considers the analytical and geometrical perspectives as a means to promote the thematization of the schema of tangent line.