Without derivatives or limits: from visual and geometrical points of view to algebraic methods for identifying tangent lines

• Autores: L. Vivier
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 44, Nº. 5, 2013, págs. 711-717
• Idioma: inglés
• DOI: 10.1080/0020739x.2013.785607
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• Resumen

  • Usually, the tangent line is considered to be a calculus notion. However, it is also a graphical and an algebraic notion. The graphical frame, where our primary conceptions are conceived, could give rise to algebraic methods to obtain the tangent line to a curve. In this pre-calculusperspective, two methods are described and discussed according to their potential for secondary students and teacher training.