id: 06468336
dt: j
an: 2015e.00624
au: Mamolo, Ami; Ruttenberg-Rozen, Robyn; Whiteley, Walter
ti: Developing a network of and for geometric reasoning.
so: ZDM, Math. Educ. 47, No. 3, 483-496 (2015).
py: 2015
pu: Springer, Berlin/Heidelberg
la: EN
cc: G40 N60 D50
ut: geometric reasoning; mathematical tasks; spatial visual representations;
conceptual networks; optimization
ci:
li: doi:10.1007/s11858-014-0654-3
ab: Summary: In this article, we develop a theoretical model for restructuring
mathematical tasks, usually considered advanced, with a network of
spatial visual representations designed to support geometric reasoning
for learners of disparate ages, stages, strengths, and preparation.
Through our geometric reworking of the well-known “open box problem",
we sought to enrich learners’ conceptual networks for optimisation
and rate of change, and to explore these concepts vertically across
curricula for a variety of grades. We analyse a network of physical,
geometric spatial visual representations that can support new
inferences and key understandings, and that scaffold these advanced
concepts so that they could be meaningfully addressed by learners of
various ages, from elementary to university, and with diverse
mathematical backgrounds.
rv: