
06451938
a
2015d.00653
Ferrara, Francesca
Maschietto, Michela
Are mathematics students thinking as Kepler? Conics and mathematical machines.
Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of the European Society of Research in Mathematics Education, Antalya, Turkey, February 610, 2013. Ankara: Middle East Technical University (ISBN 9789754293159). 635644 (2013).
2013
Ankara: Middle East Technical University
EN
G75
C35
U65
conics
instrumental genesis
mathematical machine
transfer
Summary: 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.