id: 06439866
dt: a
an: 2015c.00517
au: Lockwood, Elise; Lynch, Alison G.; Ellis, Amy B.; Knuth, Eric
ti: Mathematicians’ example-related activity in formulating conjectures.
so: Liljedahl, Peter (ed.) et al., Proceedings of the 38th conference of the
International Group for the Psychology of Mathematics Education
“Mathematics education at the edge", PME 38 held jointly with the
36th conference of PME-NA, Vancouver, Canada, July 15‒20, 2014, Vol.
4. [s. l.]: International Group for the Psychology of Mathematics
Education (ISBN 978-0-86491-360-9/set; 978-0-86491-364-7/v.4). 129-136
(2014).
py: 2014
pu: [s. l.]: International Group for the Psychology of Mathematics Education
la: EN
cc: E55 E45
ut: role of examples; conjecturing; proving; formulation of conjectures
ci:
li:
ab: Summary: This paper explores the role examples play in mathematicians’
conjecturing activity. While previous research has examined
example-related activity during the act of proving, little is known
about how examples arise during the formulation of conjectures.
Thirteen mathematicians were interviewed as they explored tasks that
required the development of conjectures. During the interviews,
mathematicians productively used examples as they formulated
conjectures, particularly by creating systematic lists of examples that
they examined for patterns. The results suggest pedagogical
implications for explicitly targeting examples in conjecturing, and the
study contributes to a body of literature that points to the benefits
of exploring, identifying, and leveraging examples in proof-related
activity.
rv: