Our interest is the analysis of the thinking processes of some university students who worked on the design of a machine that uses a tightened thread to draw a hyperbola. Previously, the students worked with other machines for conics. We focus on the way past experience becomes part of a new experience, in which making of the machine is the end point of the task. This implies the presence of technological and scientific aspects, whose interplay is fundamental to shape thinking.
Are mathematics students thinking as Kepler? Conics and mathematical machines / F., Ferrara; Maschietto, Michela. - ELETTRONICO. - -:(2013), pp. 635-644. (Intervento presentato al convegno Eighth Congress of European Research in Mathematics Education (CERME 8) tenutosi a Manavgat-Side, Antalya (Turkey) nel Manavgat-Side, Antalya - Turkey).
Are mathematics students thinking as Kepler? Conics and mathematical machines
MASCHIETTO, Michela
2013
Abstract
Our interest is the analysis of the thinking processes of some university students who worked on the design of a machine that uses a tightened thread to draw a hyperbola. Previously, the students worked with other machines for conics. We focus on the way past experience becomes part of a new experience, in which making of the machine is the end point of the task. This implies the presence of technological and scientific aspects, whose interplay is fundamental to shape thinking.
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