id: 06439937
dt: a
an: 2015c.00629
au: Toh, Pee Choon; Leong, Yew Hoong; Toh, Tin Lam; Ho, Foo Him
ti: Designing tasks for conjecturing and proving in number theory.
so: Nicol, Cynthia (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.
5. [s. l.]: International Group for the Psychology of Mathematics
Education (ISBN 978-0-86491-360-9/set; 978-0-86491-365-4/v.5). 257-264
(2014).
py: 2014
pu: [s. l.]: International Group for the Psychology of Mathematics Education
la: EN
cc: F69 D59 E59
ut: elementary number theory; task design; problem posing; conjecturing;
proving
ci:
li:
ab: Summary: The purpose of this study is to develop design principles for
crafting tasks that will encourage conjecturing and proving in the
context of elementary number theory at the undergraduate level. From
the analyses of the written work of 46 prospective mathematics teachers
on a task designed according to these principles, we think that there
is potential to build on and refine from these principles for other
undergraduate mathematics courses.
rv: