id: 06655659
dt: j
an:
au: Pournara, Craig
ti: Talking time, seeing time: the importance of attending to time in financial
mathematics.
so: Afr. J. Res. Math. Sci. Technol. Educ. 19, No. 1, 82-94 (2015).
py: 2015
pu: Taylor \& Francis (Routledge), Abingdon, Oxfordshire
la: EN
cc: D30 M30
ut: financial maths; mathematical talk; timelines; transparency
ci:
li: doi:10.1080/10288457.2015.1014235
ab: Summary: Through analysing a critical incident where a small group of
pre-service secondary mathematics teachers work together on an
annuities problem, we gain insight into the ways in which students make
use of timelines and attend to time in their talk. Drawing on Lave and
Wengerâ€™s notion of transparency, I argue that it was only when time
became visible for the students, that they were able to resolve the
impasse they had reached in working with the timeline. I propose the
notion of pre-visible to describe the ways in which a newcomer makes
use of a resource in an intuitive way when s/he still lacks awareness
of how the resource is typically used in the practice. I discuss five
issues pertaining to the use of timelines in working with annuities:
the changing role of the timeline; attending to discrete points in time
vs intervals; explicit attention to time on the timeline; explicit
attention to time in studentsâ€™ talk; and potential problems
associated with the use of month-names on a timeline. I make
recommendations for teaching based on these findings.
rv: