id: 06451938
dt: a
an: 2015d.00653
au: Ferrara, Francesca; Maschietto, Michela
ti: Are mathematics students thinking as Kepler? Conics and mathematical
machines.
so: Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of
the European Society of Research in Mathematics Education, Antalya,
Turkey, February 6‒10, 2013. Ankara: Middle East Technical University
(ISBN 978-975-429-315-9). 635-644 (2013).
py: 2013
pu: Ankara: Middle East Technical University
la: EN
cc: G75 C35 U65
ut: conics; instrumental genesis; mathematical machine; transfer
ci:
li:
ab: 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.
rv: