THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
An empirical study in the notion of area: a Socratic educational experience anchored in van Hiele's model
María Ángeles Navarro and Pedro Pérez Carreras

Abstract

In this article, our goal is to design a suitable strategy to be implemented on High School students in order to prepare them for the formal study of approximate and exact integration via a Socratic semi-structured interview. Our dialog will be closely dependent on the use of a computer generated tool (applet) to encourage students' participation, provide them with numerical and visual data and allow the linking of the processes of discovery, understanding and conceptualization in the frame of an educational model. What follows contains a description of the interview which is also our instrument for pointing out and detecting the levels postulated by van Hiele's educational model.

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Keywords: Area; approximation; error; limits; van Hiele's model.

Pages:  1$-$23     

Volume  XIX ,  Issue  1 ,  2016